%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU815^2 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:33:31 AM UTC 2026
% Result : Theorem 111.21s 15.93s
% Output : Refutation 111.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU815^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n006.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Sep 29 14:33:39 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.16/0.93 % (809945)Will run a generic schedule for satisfiability detection.
% 4.16/0.93 % (809950)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2393660525_2999 on theBenchmark for (2999ds/0Mi)
% 4.16/0.93 % Exception at run slice level
% 4.16/0.93 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.16/0.93 % (809951)% WARNING: option uhcvi not known.
% 4.16/0.93 % (809953)dis+10_1_sil=32000:sp=arity:random_seed=3192006695:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.16/0.93 % (809952)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2719333639:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.16/0.93 % (809956)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=780014186:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.16/0.93 % (809951)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3755922990:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.16/0.93 % (809951)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.16/0.93 % (809951)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.16/0.93 % (809955)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=392536843:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.16/0.93 % (809958)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1346986701:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.16/0.93 % (809954)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=181717837:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.16/0.93 % Exception at run slice level
% 4.16/0.93 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.16/0.93 % (809954)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.16/0.93 % (809966)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3902861020:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.16/0.93 % (809955)Instruction limit reached!
% 4.16/0.93 % (809955)------------------------------
% 4.16/0.93 % (809955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.16/0.93 % (809955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/0.93 % (809955)CaDiCaL version: 2.1.3
% 4.16/0.93 % (809955)Termination reason: Instruction limit
% 4.16/0.93 % (809955)Termination phase: Saturation
% 4.16/0.93 % (809955)Time elapsed: 0.039 s
% 4.16/0.93 % (809955)Peak memory usage: 12 MB
% 4.16/0.93 % (809955)Instructions burned: 135 (million)
% 4.16/0.93 % (809953)Instruction limit reached!
% 4.16/0.93 % (809953)------------------------------
% 4.16/0.93 % (809953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.16/0.93 % (809953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/0.93 % (809953)CaDiCaL version: 2.1.3
% 4.16/0.93 % (809953)Termination reason: Instruction limit
% 4.16/0.93 % (809953)Termination phase: Saturation
% 4.16/0.93 % (809953)Time elapsed: 0.049 s
% 4.16/0.93 % (809953)Peak memory usage: 12 MB
% 4.16/0.93 % (809953)Instructions burned: 104 (million)
% 4.16/0.93 % (809968)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1950803205:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 4.16/0.93 % (809968)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.16/0.93 % (809968)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.16/0.93 % (809969)ott-21_1_sil=16000:fs=off:random_seed=3037156818:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 4.16/0.93 % (809956)Instruction limit reached!
% 4.16/0.93 % (809956)------------------------------
% 4.16/0.93 % (809956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.16/0.93 % (809956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.16/0.93 % (809956)CaDiCaL version: 2.1.3
% 4.16/0.93 % (809956)Termination reason: Instruction limit
% 4.16/0.93 % (809956)Termination phase: Saturation
% 4.16/0.93 % (809956)Time elapsed: 0.082 s
% 4.16/0.93 % (809956)Peak memory usage: 12 MB
% 4.16/0.93 % (809956)Instructions burned: 159 (million)
% 4.16/0.93 % (809966)Instruction limit reached!
% 4.16/0.93 % (809966)------------------------------
% 17.34/2.88 % (809966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.34/2.88 % (809966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.34/2.88 % (809966)CaDiCaL version: 2.1.3
% 17.34/2.88 % (809966)Termination reason: Instruction limit
% 17.34/2.88 % (809966)Termination phase: Saturation
% 17.34/2.88 % (809966)Time elapsed: 0.062 s
% 17.34/2.88 % (809966)Peak memory usage: 12 MB
% 17.34/2.88 % (809966)Instructions burned: 133 (million)
% 17.34/2.88 % (809972)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1904517414:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 17.34/2.88 % (809973)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=118891811:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 17.34/2.88 % Exception at run slice level
% 17.34/2.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.34/2.88 % (809954)Instruction limit reached!
% 17.34/2.88 % (809954)------------------------------
% 17.34/2.88 % (809954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.34/2.88 % (809954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.34/2.88 % (809954)CaDiCaL version: 2.1.3
% 17.34/2.88 % (809954)Termination reason: Instruction limit
% 17.34/2.88 % (809954)Termination phase: Saturation
% 17.34/2.88 % (809954)Time elapsed: 0.104 s
% 17.34/2.88 % (809954)Peak memory usage: 12 MB
% 17.34/2.88 % (809954)Instructions burned: 116 (million)
% 17.34/2.88 % (809976)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3756350454:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 17.34/2.88 % (809977)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3157016218:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 17.34/2.88 % (809969)Instruction limit reached!
% 17.34/2.88 % (809969)------------------------------
% 17.34/2.88 % (809969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.34/2.88 % (809969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.34/2.88 % (809969)CaDiCaL version: 2.1.3
% 17.34/2.88 % (809969)Termination reason: Instruction limit
% 17.34/2.88 % (809969)Termination phase: Saturation
% 17.34/2.88 % (809969)Time elapsed: 0.081 s
% 17.34/2.88 % (809969)Peak memory usage: 12 MB
% 17.34/2.88 % (809969)Instructions burned: 181 (million)
% 17.34/2.88 % Exception at run slice level
% 17.34/2.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.34/2.88 % (809981)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1889508478:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 17.34/2.88 % (809980)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=281089154:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 17.34/2.88 % (809981)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.34/2.88 % (809980)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 17.34/2.88 % (809968)Instruction limit reached!
% 17.34/2.88 % (809968)------------------------------
% 17.34/2.88 % (809968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.34/2.88 % (809968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.34/2.88 % (809968)CaDiCaL version: 2.1.3
% 17.34/2.88 % (809968)Termination reason: Instruction limit
% 17.34/2.88 % (809968)Termination phase: Saturation
% 17.34/2.88 % (809968)Time elapsed: 0.168 s
% 17.34/2.88 % (809968)Peak memory usage: 14 MB
% 17.34/2.88 % (809968)Instructions burned: 684 (million)
% 17.34/2.88 % (809984)fmb+10_1_sil=64000:random_seed=2579345797:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 17.34/2.88 % (809984)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 17.34/2.88 % Exception at run slice level
% 17.34/2.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.34/2.88 % (809986)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=824521850:i=9515:nm=5_2997 on theBenchmark for (2997ds/9515Mi)
% 17.34/2.88 % Exception at run slice level
% 17.34/2.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 17.34/2.88 % (809988)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=412573887:fmbsr=1.7:i=920_2997 on theBenchmark for (2997ds/920Mi)
% 46.67/6.88 % Exception at run slice level
% 46.67/6.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 46.67/6.88 % (809990)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1493058680:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 46.67/6.88 % (809990)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 46.67/6.88 % (809972)Instruction limit reached!
% 46.67/6.88 % (809972)------------------------------
% 46.67/6.88 % (809972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.67/6.88 % (809972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.67/6.88 % (809972)CaDiCaL version: 2.1.3
% 46.67/6.88 % (809972)Termination reason: Instruction limit
% 46.67/6.88 % (809972)Termination phase: Saturation
% 46.67/6.88 % (809972)Time elapsed: 0.241 s
% 46.67/6.88 % (809972)Peak memory usage: 13 MB
% 46.67/6.88 % (809972)Instructions burned: 478 (million)
% 46.67/6.88 % (809992)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=529033398:i=1472:ins=7:fdi=8:gsp=on_2996 on theBenchmark for (2996ds/1472Mi)
% 46.67/6.88 % (809992)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 46.67/6.88 % (809992)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 46.67/6.88 % (809981)Instruction limit reached!
% 46.67/6.88 % (809981)------------------------------
% 46.67/6.88 % (809981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.67/6.88 % (809981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.67/6.88 % (809981)CaDiCaL version: 2.1.3
% 46.67/6.88 % (809981)Termination reason: Instruction limit
% 46.67/6.88 % (809981)Termination phase: Saturation
% 46.67/6.88 % (809981)Time elapsed: 0.270 s
% 46.67/6.88 % (809981)Peak memory usage: 13 MB
% 46.67/6.88 % (809981)Instructions burned: 883 (million)
% 46.67/6.88 % (809994)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2577916387:i=6324_2995 on theBenchmark for (2995ds/6324Mi)
% 46.67/6.88 % Exception at run slice level
% 46.67/6.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 46.67/6.88 % (809996)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3511739289:fmbsr=2.30978:i=2174_2995 on theBenchmark for (2995ds/2174Mi)
% 46.67/6.88 % Exception at run slice level
% 46.67/6.88 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 46.67/6.88 % (809998)ott-2_1_sil=16000:newcnf=on:random_seed=3069770437:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2995 on theBenchmark for (2995ds/869Mi)
% 46.67/6.88 % (809998)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 46.67/6.88 % (809980)Instruction limit reached!
% 46.67/6.88 % (809980)------------------------------
% 46.67/6.88 % (809980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.67/6.88 % (809980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.67/6.88 % (809980)CaDiCaL version: 2.1.3
% 46.67/6.88 % (809980)Termination reason: Instruction limit
% 46.67/6.88 % (809980)Termination phase: Saturation
% 46.67/6.88 % (809980)Time elapsed: 0.326 s
% 46.67/6.88 % (809980)Peak memory usage: 15 MB
% 46.67/6.88 % (809980)Instructions burned: 693 (million)
% 46.67/6.88 % (810000)ott+10_1_sil=32000:tgt=ground:random_seed=1762268717:i=5114:av=off_2994 on theBenchmark for (2994ds/5114Mi)
% 46.67/6.88 % (809998)Instruction limit reached!
% 46.67/6.88 % (809998)------------------------------
% 46.67/6.88 % (809998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.67/6.88 % (809998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.67/6.88 % (809998)CaDiCaL version: 2.1.3
% 46.67/6.88 % (809998)Termination reason: Instruction limit
% 46.67/6.88 % (809998)Termination phase: Saturation
% 46.67/6.88 % (809998)Time elapsed: 0.205 s
% 46.67/6.88 % (809998)Peak memory usage: 14 MB
% 46.67/6.88 % (809998)Instructions burned: 873 (million)
% 46.67/6.88 % (809976)Instruction limit reached!
% 46.67/6.88 % (809976)------------------------------
% 46.67/6.88 % (809976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.67/6.88 % (809976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.67/6.88 % (809976)CaDiCaL version: 2.1.3
% 46.67/6.88 % (809976)Termination reason: Instruction limit
% 100.59/14.46 % (809976)Termination phase: Saturation
% 100.59/14.46 % (809976)Time elapsed: 0.548 s
% 100.59/14.46 % (809976)Peak memory usage: 15 MB
% 100.59/14.46 % (809976)Instructions burned: 1180 (million)
% 100.59/14.46 % (810002)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2758247583:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 100.59/14.46 % Exception at run slice level
% 100.59/14.46 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 100.59/14.46 % (810005)dis+21_1_sil=32000:sas=cadical:random_seed=49194913:i=3773:amm=off_2992 on theBenchmark for (2992ds/3773Mi)
% 100.59/14.46 % (810003)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1543615506:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 100.59/14.46 % (810003)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 100.59/14.46 % (809992)Instruction limit reached!
% 100.59/14.46 % (809992)------------------------------
% 100.59/14.46 % (809992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 100.59/14.46 % (809992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 100.59/14.46 % (809992)CaDiCaL version: 2.1.3
% 100.59/14.46 % (809992)Termination reason: Instruction limit
% 100.59/14.46 % (809992)Termination phase: Saturation
% 100.59/14.46 % (809992)Time elapsed: 0.669 s
% 100.59/14.46 % (809992)Peak memory usage: 15 MB
% 100.59/14.46 % (809992)Instructions burned: 1472 (million)
% 100.59/14.46 % (810008)ott+11_1_sil=16000:gs=on:random_seed=3433670627:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2989 on theBenchmark for (2989ds/2251Mi)
% 100.59/14.46 % (810008)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 100.59/14.46 % (810005)Instruction limit reached!
% 100.59/14.46 % (810005)------------------------------
% 100.59/14.46 % (810005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 100.59/14.46 % (810005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 100.59/14.46 % (810005)CaDiCaL version: 2.1.3
% 100.59/14.46 % (810005)Termination reason: Instruction limit
% 100.59/14.46 % (810005)Termination phase: Saturation
% 100.59/14.46 % (810005)Time elapsed: 0.834 s
% 100.59/14.46 % (810005)Peak memory usage: 17 MB
% 100.59/14.46 % (810005)Instructions burned: 3777 (million)
% 100.59/14.46 % (810010)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2691446284:fmbsr=1.6:i=67534_2984 on theBenchmark for (2984ds/67534Mi)
% 100.59/14.46 % Exception at run slice level
% 100.59/14.46 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 100.59/14.46 % (810012)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2407089435:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2984 on theBenchmark for (2984ds/4591Mi)
% 100.59/14.46 % (810008)Instruction limit reached!
% 100.59/14.46 % (810008)------------------------------
% 100.59/14.46 % (810008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 100.59/14.46 % (810008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 100.59/14.46 % (810008)CaDiCaL version: 2.1.3
% 100.59/14.46 % (810008)Termination reason: Instruction limit
% 100.59/14.46 % (810008)Termination phase: Saturation
% 100.59/14.46 % (810008)Time elapsed: 0.932 s
% 100.59/14.46 % (810008)Peak memory usage: 14 MB
% 100.59/14.46 % (810008)Instructions burned: 2253 (million)
% 100.59/14.46 % (810014)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=1156612694:i=29340_2979 on theBenchmark for (2979ds/29340Mi)
% 100.59/14.46 % (810003)Instruction limit reached!
% 100.59/14.46 % (810003)------------------------------
% 100.59/14.46 % (810003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 100.59/14.46 % (810003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 100.59/14.46 % (810003)CaDiCaL version: 2.1.3
% 100.59/14.46 % (810003)Termination reason: Instruction limit
% 100.59/14.46 % (810003)Termination phase: Saturation
% 100.59/14.46 % (810003)Time elapsed: 1.485 s
% 100.59/14.46 % (810003)Peak memory usage: 17 MB
% 100.59/14.46 % (810003)Instructions burned: 3514 (million)
% 100.59/14.46 % (810016)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=127144297:i=5211_2977 on theBenchmark for (2977ds/5211Mi)
% 100.59/14.46 % (810012)Instruction limit reached!
% 100.59/14.46 % (810012)------------------------------
% 100.59/14.46 % (810012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 100.59/14.46 % (810012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.21/15.93 % (810012)CaDiCaL version: 2.1.3
% 111.21/15.93 % (810012)Termination reason: Instruction limit
% 111.21/15.93 % (810012)Termination phase: Saturation
% 111.21/15.93 % (810012)Time elapsed: 1.080 s
% 111.21/15.93 % (810012)Peak memory usage: 19 MB
% 111.21/15.93 % (810012)Instructions burned: 4593 (million)
% 111.21/15.93 % (810018)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=129782638:i=5497:nm=2_2973 on theBenchmark for (2973ds/5497Mi)
% 111.21/15.93 % Exception at run slice level
% 111.21/15.93 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 111.21/15.93 % (810020)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=1846615545:fmbsr=2:i=46332_2973 on theBenchmark for (2973ds/46332Mi)
% 111.21/15.93 % Exception at run slice level
% 111.21/15.93 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 111.21/15.93 % (810022)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=3995776383:i=14071_2973 on theBenchmark for (2973ds/14071Mi)
% 111.21/15.93 % Exception at run slice level
% 111.21/15.93 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 111.21/15.93 % (810024)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3755952069:i=22565:add=on:rawr=on_2972 on theBenchmark for (2972ds/22565Mi)
% 111.21/15.93 % (809990)Instruction limit reached!
% 111.21/15.93 % (809990)------------------------------
% 111.21/15.93 % (809990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 111.21/15.93 % (809990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.21/15.93 % (809990)CaDiCaL version: 2.1.3
% 111.21/15.93 % (809990)Termination reason: Instruction limit
% 111.21/15.93 % (809990)Termination phase: Saturation
% 111.21/15.93 % (809990)Time elapsed: 2.420 s
% 111.21/15.93 % (809990)Peak memory usage: 18 MB
% 111.21/15.93 % (809990)Instructions burned: 5131 (million)
% 111.21/15.93 % (810026)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=229704086:i=8173:av=off_2972 on theBenchmark for (2972ds/8173Mi)
% 111.21/15.93 % (810000)Instruction limit reached!
% 111.21/15.93 % (810000)------------------------------
% 111.21/15.93 % (810000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 111.21/15.93 % (810000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.21/15.93 % (810000)CaDiCaL version: 2.1.3
% 111.21/15.93 % (810000)Termination reason: Instruction limit
% 111.21/15.93 % (810000)Termination phase: Saturation
% 111.21/15.93 % (810000)Time elapsed: 2.287 s
% 111.21/15.93 % (810000)Peak memory usage: 20 MB
% 111.21/15.93 % (810000)Instructions burned: 5116 (million)
% 111.21/15.93 % (810028)dis+10_16:1_sil=16000:random_seed=1638796869:i=9155:fsr=off_2971 on theBenchmark for (2971ds/9155Mi)
% 111.21/15.93 % (810016)Instruction limit reached!
% 111.21/15.93 % (810016)------------------------------
% 111.21/15.93 % (810016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 111.21/15.93 % (810016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.21/15.93 % (810016)CaDiCaL version: 2.1.3
% 111.21/15.93 % (810016)Termination reason: Instruction limit
% 111.21/15.93 % (810016)Termination phase: Saturation
% 111.21/15.93 % (810016)Time elapsed: 2.324 s
% 111.21/15.93 % (810016)Peak memory usage: 22 MB
% 111.21/15.93 % (810016)Instructions burned: 5212 (million)
% 111.21/15.93 % (810030)ott-3_8_sil=64000:random_seed=1053918841:i=20139:bs=on_2954 on theBenchmark for (2954ds/20139Mi)
% 111.21/15.93 % (810028)Instruction limit reached!
% 111.21/15.93 % (810028)------------------------------
% 111.21/15.93 % (810028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 111.21/15.93 % (810028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.21/15.93 % (810028)CaDiCaL version: 2.1.3
% 111.21/15.93 % (810028)Termination reason: Instruction limit
% 111.21/15.93 % (810028)Termination phase: Saturation
% 111.21/15.93 % (810028)Time elapsed: 3.773 s
% 111.21/15.93 % (810028)Peak memory usage: 21 MB
% 111.21/15.93 % (810028)Instructions burned: 9155 (million)
% 111.21/15.93 % (810032)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=2322388574:fmbsr=2:i=32576_2933 on theBenchmark for (2933ds/32576Mi)
% 111.21/15.93 % Exception at run slice level
% 111.21/15.93 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 111.21/15.93 % (810034)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=1660928249:i=11404_2933 on theBenchmark for (2933ds/11404Mi)
% 111.21/15.93 % (810026)Instruction limit reached!
% 111.21/15.93 % (810026)------------------------------
% 111.21/15.93 % (810026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 111.21/15.93 % (810026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.21/15.93 % (810026)CaDiCaL version: 2.1.3
% 111.21/15.93 % (810026)Termination reason: Instruction limit
% 111.21/15.93 % (810026)Termination phase: Saturation
% 111.21/15.93 % (810026)Time elapsed: 4.126 s
% 111.21/15.93 % (810026)Peak memory usage: 24 MB
% 111.21/15.93 % (810026)Instructions burned: 8173 (million)
% 111.21/15.93 % (810036)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=1522298407:i=14134_2930 on theBenchmark for (2930ds/14134Mi)
% 111.21/15.93 % (810036)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 111.21/15.93 % (810024)Instruction limit reached!
% 111.21/15.93 % (810024)------------------------------
% 111.21/15.93 % (810024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 111.21/15.93 % (810024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.21/15.93 % (810024)CaDiCaL version: 2.1.3
% 111.21/15.93 % (810024)Termination reason: Instruction limit
% 111.21/15.93 % (810024)Termination phase: Saturation
% 111.21/15.93 % (810024)Time elapsed: 6.530 s
% 111.21/15.93 % (810024)Peak memory usage: 49 MB
% 111.21/15.93 % (810024)Instructions burned: 22566 (million)
% 111.21/15.93 % (810038)dis+33_16_sil=32000:sac=on:random_seed=1611941420:i=15851:nm=0_2907 on theBenchmark for (2907ds/15851Mi)
% 111.21/15.93 % (810034)Instruction limit reached!
% 111.21/15.93 % (810034)------------------------------
% 111.21/15.93 % (810034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 111.21/15.93 % (810034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.21/15.93 % (810034)CaDiCaL version: 2.1.3
% 111.21/15.93 % (810034)Termination reason: Instruction limit
% 111.21/15.93 % (810034)Termination phase: Saturation
% 111.21/15.93 % (810034)Time elapsed: 5.135 s
% 111.21/15.93 % (810034)Peak memory usage: 27 MB
% 111.21/15.93 % (810034)Instructions burned: 11404 (million)
% 111.21/15.93 % (810040)dis+4_1024_sil=32000:avsql=on:sp=occurrence:gs=on:avsqc=1:random_seed=1778775643:avsq=on:i=17627:add=on:amm=off_2881 on theBenchmark for (2881ds/17627Mi)
% 111.21/15.93 % (810014)Instruction limit reached!
% 111.21/15.93 % (810014)------------------------------
% 111.21/15.93 % (810014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 111.21/15.93 % (810014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.21/15.93 % (810014)CaDiCaL version: 2.1.3
% 111.21/15.93 % (810014)Termination reason: Instruction limit
% 111.21/15.93 % (810014)Termination phase: Saturation
% 111.21/15.93 % (810014)Time elapsed: 10.115 s
% 111.21/15.93 % (810014)Peak memory usage: 46 MB
% 111.21/15.93 % (810014)Instructions burned: 29344 (million)
% 111.21/15.93 % (810042)ott+10_64_anc=all:sil=128000:sas=cadical:bsr=unit_only:nwc=1:cn=on:random_seed=3648884233:s2a=on:i=53295_2878 on theBenchmark for (2878ds/53295Mi)
% 111.21/15.93 % (810030)Instruction limit reached!
% 111.21/15.93 % (810030)------------------------------
% 111.21/15.93 % (810030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 111.21/15.93 % (810030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.21/15.93 % (810030)CaDiCaL version: 2.1.3
% 111.21/15.93 % (810030)Termination reason: Instruction limit
% 111.21/15.93 % (810030)Termination phase: Saturation
% 111.21/15.93 % (810030)Time elapsed: 8.487 s
% 111.21/15.93 % (810030)Peak memory usage: 29 MB
% 111.21/15.93 % (810030)Instructions burned: 20140 (million)
% 111.21/15.93 % (810044)fmb+10_1_sil=32000:sas=cadical:fmbss=16:random_seed=352878449:i=26857:ins=20_2869 on theBenchmark for (2869ds/26857Mi)
% 111.21/15.93 % Exception at run slice level
% 111.21/15.93 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 111.21/15.93 % (810046)ott+10_1_sil=64000:plsq=on:plsqc=4:bsr=unit_only:gs=on:random_seed=1684123999:i=28120:bs=on:fsr=off_2869 on theBenchmark for (2869ds/28120Mi)
% 111.21/15.93 % (810036)Instruction limit reached!
% 111.21/15.93 % (810036)------------------------------
% 111.21/15.93 % (810036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 111.21/15.93 % (810036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.21/15.93 % (810036)CaDiCaL version: 2.1.3
% 111.21/15.93 % (810036)Termination reason: Instruction limit
% 111.21/15.93 % (810036)Termination phase: Saturation
% 111.21/15.93 % (810036)Time elapsed: 7.318 s
% 111.21/15.93 % (810036)Peak memory usage: 30 MB
% 111.21/15.93 % (810036)Instructions burned: 14136 (million)
% 111.21/15.93 % (810048)fmb+10_1_sil=256000:fmbss=7:random_seed=2943186556:fmbsr=1.6:i=182295_2857 on theBenchmark for (2857ds/182295Mi)
% 111.21/15.93 % Exception at run slice level
% 111.21/15.93 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 111.21/15.93 % (810050)fmb+10_1_sil=128000:fmbss=21:newcnf=on:random_seed=563305865:i=44625:gsp=on_2857 on theBenchmark for (2857ds/44625Mi)
% 111.21/15.93 % (810050)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 111.21/15.93 % (810050)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 111.21/15.93 % Exception at run slice level
% 111.21/15.93 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 111.21/15.93 % (810052)fmb+10_1_sil=256000:sas=cadical:fmbss=15:random_seed=380409578:i=160505_2857 on theBenchmark for (2857ds/160505Mi)
% 111.21/15.93 % Exception at run slice level
% 111.21/15.93 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 111.21/15.93 % (810054)fmb+10_1_sil=256000:tgt=full:fmbss=10:random_seed=2670741249:fmbsr=1.3:i=225729_2856 on theBenchmark for (2856ds/225729Mi)
% 111.21/15.93 % Exception at run slice level
% 111.21/15.93 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 111.21/15.93 % (810056)fmb+10_1_sil=256000:tgt=full:sas=cadical:fmbss=10:random_seed=4166863008:fmbsr=2:i=185024:ins=7_2856 on theBenchmark for (2856ds/185024Mi)
% 111.21/15.93 % Exception at run slice level
% 111.21/15.93 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 111.21/15.93 % (810058)fmb+10_1_sas=cadical:si=on:bce=on:rp=on:random_seed=2057665220:rtra=on_2856 on theBenchmark for (2856ds/0Mi)
% 111.21/15.93 % Exception at run slice level
% 111.21/15.93 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 111.21/15.93 % (810060)% WARNING: option uhcvi not known.
% 111.21/15.93 % (810060)dis+11_61:31_drc=ordering:si=on:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=985350672:i=271062:add=off:rtra=on:rawr=on_2856 on theBenchmark for (2856ds/271062Mi)
% 111.21/15.93 % (810060)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 111.21/15.93 % (810060)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 111.21/15.93 % (809952) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-809945-809952"...
% 111.21/15.93 % (809952)...printing done.
% 111.21/15.93 % (809952)Refutation found. Thanks to Tanya!
% 111.21/15.93 % SZS status Theorem for theBenchmark
% 111.21/15.93 % SZS output start Proof for theBenchmark
% 111.21/15.93 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 111.21/15.93 thf(func_def_0, type, in: ($i > $i > $o)).
% 111.21/15.93 thf(func_def_1, type, setunion: ($i > $i)).
% 111.21/15.93 thf(func_def_2, type, setunionI: $o).
% 111.21/15.93 thf(func_def_4, type, setunionE: $o).
% 111.21/15.93 thf(func_def_5, type, subset: ($i > $i > $o)).
% 111.21/15.93 thf(func_def_6, type, subsetI1: $o).
% 111.21/15.93 thf(func_def_7, type, transitiveset: ($i > $o)).
% 111.21/15.93 thf(func_def_8, type, transitivesetOp2: $o).
% 111.21/15.93 thf(func_def_9, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 111.21/15.93 thf(func_def_10, type, vIMP: ($o > $o > $o)).
% 111.21/15.93 thf(func_def_11, type, db1: !>[X0: $tType]:(X0)).
% 111.21/15.93 thf(func_def_12, type, db2: !>[X0: $tType]:(X0)).
% 111.21/15.93 thf(func_def_13, type, db0: !>[X0: $tType]:(X0)).
% 111.21/15.93 thf(func_def_14, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 111.21/15.93 thf(func_def_15, type, db3: !>[X0: $tType]:(X0)).
% 111.21/15.93 thf(func_def_19, type, vNOT: ($o > $o)).
% 111.21/15.93 thf(func_def_21, type, sK2: ($i > $i)).
% 111.21/15.93 thf(func_def_22, type, sK3: ($i > $i > $i)).
% 111.21/15.93 thf(func_def_23, type, sK4: ($o > $i > $i > $i)).
% 111.21/15.93 thf(f1,axiom,(
% 111.21/15.93 (setunionI = ! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X1 @ X2) => ((in @ X2 @ X0) => (in @ X1 @ (setunion @ X0)))))),
% 111.21/15.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setunionI)).
% 111.21/15.93 thf(f2,axiom,(
% 111.21/15.93 (setunionE = ! [X0 : $i,X1 : $i] : ((in @ X1 @ (setunion @ X0)) => ! [X2 : $o] : (! [X3 : $i] : ((in @ X1 @ X3) => ((in @ X3 @ X0) => X2)) => X2)))),
% 111.21/15.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setunionE)).
% 111.21/15.93 thf(f3,axiom,(
% 111.21/15.93 (subsetI1 = ! [X0 : $i,X1 : $i] : (! [X2 : $i] : ((in @ X2 @ X0) => (in @ X2 @ X1)) => (subset @ X0 @ X1)))),
% 111.21/15.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsetI1)).
% 111.21/15.93 thf(f4,axiom,(
% 111.21/15.93 (transitiveset = (^[X0 : $i] : (! [X1 : $i] : ((in @ X1 @ X0) => (subset @ X1 @ X0)))))),
% 111.21/15.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitiveset)).
% 111.21/15.93 thf(f5,axiom,(
% 111.21/15.93 (transitivesetOp2 = ! [X0 : $i] : ((transitiveset @ X0) => ! [X1 : $i,X2 : $i] : ((in @ X1 @ X0) => ((in @ X2 @ X1) => (in @ X2 @ X0)))))),
% 111.21/15.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivesetOp2)).
% 111.21/15.93 thf(f6,conjecture,(
% 111.21/15.93 setunionI => (setunionE => (subsetI1 => (transitivesetOp2 => ! [X0 : $i] : (! [X1 : $i] : ((in @ X1 @ X0) => (transitiveset @ X1)) => (transitiveset @ (setunion @ X0))))))),
% 111.21/15.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setunionTransitive)).
% 111.21/15.93 thf(f7,negated_conjecture,(
% 111.21/15.93 ~(setunionI => (setunionE => (subsetI1 => (transitivesetOp2 => ! [X0 : $i] : (! [X1 : $i] : ((in @ X1 @ X0) => (transitiveset @ X1)) => (transitiveset @ (setunion @ X0)))))))),
% 111.21/15.93 inference(negated_conjecture,[status(cth)],[f6])).
% 111.21/15.93 thf(f8,plain,(
% 111.21/15.93 (setunionI = ! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X1 @ X2) => ((in @ X2 @ X0) => (in @ X1 @ (setunion @ X0)))))),
% 111.21/15.93 inference(rectify,[],[f1])).
% 111.21/15.93 thf(f9,plain,(
% 111.21/15.93 (setunionI = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ Y0) => ((in @ Y0 @ Y2) => (in @ Y1 @ (setunion @ Y2))))))))))))),
% 111.21/15.93 inference(fool_elimination,[],[f8])).
% 111.21/15.93 thf(f10,plain,(
% 111.21/15.93 (setunionE = ! [X0 : $i,X1 : $i] : ((in @ X1 @ (setunion @ X0)) => ! [X2 : $o] : (! [X3 : $i] : ((in @ X1 @ X3) => ((in @ X3 @ X0) => X2)) => X2)))),
% 111.21/15.93 inference(rectify,[],[f2])).
% 111.21/15.93 thf(f11,plain,(
% 111.21/15.93 (setunionE = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (setunion @ Y1)) => (!! @ $o @ (^[Y2 : $o]: ((!! @ $i @ (^[Y3 : $i]: ((in @ Y0 @ Y3) => ((in @ Y3 @ Y1) => Y2)))) => Y2))))))))))),
% 111.21/15.93 inference(fool_elimination,[],[f10])).
% 111.21/15.93 thf(f12,plain,(
% 111.21/15.93 (subsetI1 = ! [X0 : $i,X1 : $i] : (! [X2 : $i] : ((in @ X2 @ X0) => (in @ X2 @ X1)) => (subset @ X0 @ X1)))),
% 111.21/15.93 inference(rectify,[],[f3])).
% 111.21/15.93 thf(f13,plain,(
% 111.21/15.93 (subsetI1 = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => (subset @ Y1 @ Y0))))))))),
% 111.21/15.93 inference(fool_elimination,[],[f12])).
% 111.21/15.93 thf(f14,plain,(
% 111.21/15.93 (transitiveset = (^[X0 : $i] : (! [X1 : $i] : ((in @ X1 @ X0) => (subset @ X1 @ X0)))))),
% 111.21/15.93 inference(rectify,[],[f4])).
% 111.21/15.93 thf(f15,plain,(
% 111.21/15.93 (transitiveset = (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => (subset @ Y1 @ Y0))))))),
% 111.21/15.93 inference(fool_elimination,[],[f14])).
% 111.21/15.93 thf(f16,plain,(
% 111.21/15.93 (transitivesetOp2 = ! [X0 : $i] : ((transitiveset @ X0) => ! [X1 : $i,X2 : $i] : ((in @ X1 @ X0) => ((in @ X2 @ X1) => (in @ X2 @ X0)))))),
% 111.21/15.93 inference(rectify,[],[f5])).
% 111.21/15.93 thf(f17,plain,(
% 111.21/15.93 (transitivesetOp2 = ((!! @ $i @ (^[Y0 : $i]: ((transitiveset @ Y0) => (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => ((in @ Y1 @ Y2) => (in @ Y1 @ Y0))))))))))))),
% 111.21/15.93 inference(fool_elimination,[],[f16])).
% 111.21/15.93 thf(f18,plain,(
% 111.21/15.93 ~(setunionI => (setunionE => (subsetI1 => (transitivesetOp2 => ! [X0 : $i] : (! [X1 : $i] : ((in @ X1 @ X0) => (transitiveset @ X1)) => (transitiveset @ (setunion @ X0)))))))),
% 111.21/15.93 inference(rectify,[],[f7])).
% 111.21/15.93 thf(f19,plain,(
% 111.21/15.93 ~((setunionI = $true) => ((setunionE = $true) => ((subsetI1 = $true) => ((transitivesetOp2 = $true) => ! [X0 : $i] : (! [X1 : $i] : ((((in @ X1 @ X0)) = $true) => (((transitiveset @ X1)) = $true)) => (((transitiveset @ (setunion @ X0))) = $true))))))),
% 111.21/15.93 inference(fool_elimination,[],[f18])).
% 111.21/15.93 thf(f20,plain,(
% 111.21/15.93 (((? [X0 : $i] : ((((transitiveset @ (setunion @ X0))) != $true) & ! [X1 : $i] : ((((transitiveset @ X1)) = $true) | (((in @ X1 @ X0)) != $true))) & (transitivesetOp2 = $true)) & (subsetI1 = $true)) & (setunionE = $true)) & (setunionI = $true)),
% 111.21/15.93 inference(ennf_transformation,[],[f19])).
% 111.21/15.93 thf(f21,plain,(
% 111.21/15.93 ? [X0 : $i] : ((((transitiveset @ (setunion @ X0))) != $true) & ! [X1 : $i] : ((((transitiveset @ X1)) = $true) | (((in @ X1 @ X0)) != $true))) & (transitivesetOp2 = $true) & (subsetI1 = $true) & (setunionE = $true) & (setunionI = $true)),
% 111.21/15.93 inference(flattening,[],[f20])).
% 111.21/15.93 thf(f22,plain,(
% 111.21/15.93 (($true != ((transitiveset @ (setunion @ sK0)))) & ! [X1 : $i] : ((((transitiveset @ X1)) = $true) | ($true != ((in @ X1 @ sK0))))) & (transitivesetOp2 = $true) & (subsetI1 = $true) & (setunionE = $true) & (setunionI = $true)),
% 111.21/15.93 inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f21])).
% 111.21/15.93 thf(f23,plain,(
% 111.21/15.93 (setunionI = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ Y0) => ((in @ Y0 @ Y2) => (in @ Y1 @ (setunion @ Y2))))))))))))),
% 111.21/15.93 inference(cnf_transformation,[],[f9])).
% 111.21/15.93 thf(f24,plain,(
% 111.21/15.93 (setunionE = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (setunion @ Y1)) => (!! @ $o @ (^[Y2 : $o]: ((!! @ $i @ (^[Y3 : $i]: ((in @ Y0 @ Y3) => ((in @ Y3 @ Y1) => Y2)))) => Y2))))))))))),
% 111.21/15.93 inference(cnf_transformation,[],[f11])).
% 111.21/15.93 thf(f25,plain,(
% 111.21/15.93 (subsetI1 = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => (subset @ Y1 @ Y0))))))))),
% 111.21/15.93 inference(cnf_transformation,[],[f13])).
% 111.21/15.93 thf(f26,plain,(
% 111.21/15.93 (transitiveset = (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => (subset @ Y1 @ Y0))))))),
% 111.21/15.93 inference(cnf_transformation,[],[f15])).
% 111.21/15.93 thf(f27,plain,(
% 111.21/15.93 (transitivesetOp2 = ((!! @ $i @ (^[Y0 : $i]: ((transitiveset @ Y0) => (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => ((in @ Y1 @ Y2) => (in @ Y1 @ Y0))))))))))))),
% 111.21/15.93 inference(cnf_transformation,[],[f17])).
% 111.21/15.93 thf(f28,plain,(
% 111.21/15.93 (setunionI = $true)),
% 111.21/15.93 inference(cnf_transformation,[],[f22])).
% 111.21/15.93 thf(f29,plain,(
% 111.21/15.93 (setunionE = $true)),
% 111.21/15.93 inference(cnf_transformation,[],[f22])).
% 111.21/15.93 thf(f30,plain,(
% 111.21/15.93 (subsetI1 = $true)),
% 111.21/15.93 inference(cnf_transformation,[],[f22])).
% 111.21/15.93 thf(f31,plain,(
% 111.21/15.93 (transitivesetOp2 = $true)),
% 111.21/15.93 inference(cnf_transformation,[],[f22])).
% 111.21/15.93 thf(f32,plain,(
% 111.21/15.93 ( ! [X1 : $i] : ((((transitiveset @ X1)) = $true) | ($true != ((in @ X1 @ sK0)))) )),
% 111.21/15.93 inference(cnf_transformation,[],[f22])).
% 111.21/15.93 thf(f33,plain,(
% 111.21/15.93 ($true != ((transitiveset @ (setunion @ sK0))))),
% 111.21/15.93 inference(cnf_transformation,[],[f22])).
% 111.21/15.93 thf(f35,definition,(
% 111.21/15.93 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 111.21/15.93 introduced(theory,[fool_exhaustiveness_axiom])).
% 111.21/15.93 thf(f36,plain,(
% 111.21/15.93 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ Y0) => ((in @ Y0 @ Y2) => (in @ Y1 @ (setunion @ Y2))))))))))) = $true)),
% 111.21/15.93 inference(definition_unfolding,[],[f23,f28])).
% 111.21/15.93 thf(f37,plain,(
% 111.21/15.93 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (setunion @ Y1)) => (!! @ $o @ (^[Y2 : $o]: ((!! @ $i @ (^[Y3 : $i]: ((in @ Y0 @ Y3) => ((in @ Y3 @ Y1) => Y2)))) => Y2))))))))) = $true)),
% 111.21/15.93 inference(definition_unfolding,[],[f24,f29])).
% 111.21/15.93 thf(f38,plain,(
% 111.21/15.93 (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => (subset @ Y1 @ Y0))))))) = $true)),
% 111.21/15.93 inference(definition_unfolding,[],[f25,f30])).
% 111.21/15.93 thf(f39,plain,(
% 111.21/15.93 ($true = ((!! @ $i @ (^[Y0 : $i]: (((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (subset @ Y2 @ Y1))))) @ Y0) => (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => ((in @ Y1 @ Y2) => (in @ Y1 @ Y0))))))))))))),
% 111.21/15.93 inference(definition_unfolding,[],[f27,f31,f26])).
% 111.21/15.93 thf(f40,plain,(
% 111.21/15.93 ($true != (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => (subset @ Y1 @ Y0))))) @ (setunion @ sK0))))),
% 111.21/15.93 inference(definition_unfolding,[],[f33,f26])).
% 111.21/15.93 thf(f41,plain,(
% 111.21/15.93 ( ! [X1 : $i] : (($true = (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => (subset @ Y1 @ Y0))))) @ X1))) | ($true != ((in @ X1 @ sK0)))) )),
% 111.21/15.93 inference(definition_unfolding,[],[f32,f26])).
% 111.21/15.93 thf(f42,plain,(
% 111.21/15.93 ( ! [X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X1) => (subset @ Y0 @ X1)))))) | ($true != ((in @ X1 @ sK0)))) )),
% 111.21/15.93 inference(beta-eta_normalization,[],[f41])).
% 111.21/15.93 thf(f43,plain,(
% 111.21/15.93 ( ! [X2 : $i,X1 : $i] : (($true = (((^[Y0 : $i]: ((in @ Y0 @ X1) => (subset @ Y0 @ X1))) @ X2))) | ($true != ((in @ X1 @ sK0)))) )),
% 111.21/15.93 inference(pi_proxy_clausification,[],[f42])).
% 111.21/15.93 thf(f44,plain,(
% 111.21/15.93 ( ! [X2 : $i,X1 : $i] : (($true = (((in @ X2 @ X1) => (subset @ X2 @ X1)))) | ($true != ((in @ X1 @ sK0)))) )),
% 111.21/15.93 inference(beta-eta_normalization,[],[f43])).
% 111.21/15.93 thf(f45,plain,(
% 111.21/15.93 ( ! [X2 : $i,X1 : $i] : (($true != ((in @ X1 @ sK0))) | (((in @ X2 @ X1)) = $false) | ($true = ((subset @ X2 @ X1)))) )),
% 111.21/15.93 inference(imp_proxy_clausification,[],[f44])).
% 111.21/15.93 thf(f46,plain,(
% 111.21/15.93 ($true != ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (setunion @ sK0)) => (subset @ Y0 @ (setunion @ sK0)))))))),
% 111.21/15.93 inference(beta-eta_normalization,[],[f40])).
% 111.21/15.93 thf(f47,plain,(
% 111.21/15.93 ($false = (((^[Y0 : $i]: ((in @ Y0 @ (setunion @ sK0)) => (subset @ Y0 @ (setunion @ sK0)))) @ sK1)))),
% 111.21/15.93 inference(sigma_proxy_clausification,[],[f46])).
% 111.21/15.93 thf(f48,plain,(
% 111.21/15.93 ($false = (((in @ sK1 @ (setunion @ sK0)) => (subset @ sK1 @ (setunion @ sK0)))))),
% 111.21/15.93 inference(beta-eta_normalization,[],[f47])).
% 111.21/15.93 thf(f49,plain,(
% 111.21/15.93 ($false = ((subset @ sK1 @ (setunion @ sK0))))),
% 111.21/15.93 inference(imp_proxy_clausification,[],[f48])).
% 111.21/15.93 thf(f50,plain,(
% 111.21/15.93 ($true = ((in @ sK1 @ (setunion @ sK0))))),
% 111.21/15.93 inference(imp_proxy_clausification,[],[f48])).
% 111.21/15.93 thf(f51,plain,(
% 111.21/15.93 ( ! [X1 : $i] : (($true = (((^[Y0 : $i]: (((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (subset @ Y2 @ Y1))))) @ Y0) => (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y0) => ((in @ Y1 @ Y2) => (in @ Y1 @ Y0))))))))) @ X1)))) )),
% 111.21/15.93 inference(pi_proxy_clausification,[],[f39])).
% 111.21/15.93 thf(f52,plain,(
% 111.21/15.93 ( ! [X1 : $i] : (($true = (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X1) => (subset @ Y0 @ X1)))) => (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ X1) => ((in @ Y0 @ Y1) => (in @ Y0 @ X1))))))))))) )),
% 111.21/15.93 inference(beta-eta_normalization,[],[f51])).
% 111.21/15.93 thf(f53,plain,(
% 111.21/15.93 ( ! [X1 : $i] : (($false = ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X1) => (subset @ Y0 @ X1)))))) | ($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ X1) => ((in @ Y0 @ Y1) => (in @ Y0 @ X1)))))))))) )),
% 111.21/15.93 inference(imp_proxy_clausification,[],[f52])).
% 111.21/15.93 thf(f54,plain,(
% 111.21/15.93 ( ! [X1 : $i] : (($false = (((^[Y0 : $i]: ((in @ Y0 @ X1) => (subset @ Y0 @ X1))) @ (sK2 @ X1)))) | ($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ X1) => ((in @ Y0 @ Y1) => (in @ Y0 @ X1)))))))))) )),
% 111.21/15.93 inference(sigma_proxy_clausification,[],[f53])).
% 111.21/15.93 thf(f55,plain,(
% 111.21/15.93 ( ! [X2 : $i,X1 : $i] : (($false = (((^[Y0 : $i]: ((in @ Y0 @ X1) => (subset @ Y0 @ X1))) @ (sK2 @ X1)))) | ($true = (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ X1) => ((in @ Y0 @ Y1) => (in @ Y0 @ X1)))))) @ X2)))) )),
% 111.21/15.93 inference(pi_proxy_clausification,[],[f54])).
% 111.21/15.93 thf(f56,plain,(
% 111.21/15.93 ( ! [X2 : $i,X1 : $i] : (($false = (((in @ (sK2 @ X1) @ X1) => (subset @ (sK2 @ X1) @ X1)))) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X1) => ((in @ X2 @ Y0) => (in @ X2 @ X1)))))))) )),
% 111.21/15.93 inference(beta-eta_normalization,[],[f55])).
% 111.21/15.93 thf(f57,plain,(
% 111.21/15.93 ( ! [X2 : $i,X1 : $i] : (($false = ((subset @ (sK2 @ X1) @ X1))) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X1) => ((in @ X2 @ Y0) => (in @ X2 @ X1)))))))) )),
% 111.21/15.93 inference(imp_proxy_clausification,[],[f56])).
% 111.21/15.93 thf(f58,plain,(
% 111.21/15.93 ( ! [X2 : $i,X1 : $i] : (($true = ((in @ (sK2 @ X1) @ X1))) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X1) => ((in @ X2 @ Y0) => (in @ X2 @ X1)))))))) )),
% 111.21/15.93 inference(imp_proxy_clausification,[],[f56])).
% 111.21/15.93 thf(f59,plain,(
% 111.21/15.93 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((in @ (sK2 @ X1) @ X1))) | ($true = (((^[Y0 : $i]: ((in @ Y0 @ X1) => ((in @ X2 @ Y0) => (in @ X2 @ X1)))) @ X3)))) )),
% 111.21/15.93 inference(pi_proxy_clausification,[],[f58])).
% 111.21/15.93 thf(f60,plain,(
% 111.21/15.93 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((in @ (sK2 @ X1) @ X1))) | ($true = (((in @ X3 @ X1) => ((in @ X2 @ X3) => (in @ X2 @ X1)))))) )),
% 111.21/15.93 inference(beta-eta_normalization,[],[f59])).
% 111.21/15.93 thf(f61,plain,(
% 111.21/15.93 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((in @ (sK2 @ X1) @ X1))) | ($false = ((in @ X3 @ X1))) | ($true = (((in @ X2 @ X3) => (in @ X2 @ X1))))) )),
% 111.21/15.93 inference(imp_proxy_clausification,[],[f60])).
% 111.21/15.93 thf(f62,plain,(
% 111.21/15.93 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((in @ (sK2 @ X1) @ X1))) | ($false = ((in @ X3 @ X1))) | ($false = ((in @ X2 @ X3))) | (((in @ X2 @ X1)) = $true)) )),
% 111.21/15.93 inference(imp_proxy_clausification,[],[f61])).
% 111.21/15.93 thf(f63,plain,(
% 111.21/15.93 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = ((subset @ (sK2 @ X1) @ X1))) | ($true = (((^[Y0 : $i]: ((in @ Y0 @ X1) => ((in @ X2 @ Y0) => (in @ X2 @ X1)))) @ X3)))) )),
% 111.21/15.93 inference(pi_proxy_clausification,[],[f57])).
% 111.21/15.93 thf(f64,plain,(
% 111.21/15.93 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = ((subset @ (sK2 @ X1) @ X1))) | ($true = (((in @ X3 @ X1) => ((in @ X2 @ X3) => (in @ X2 @ X1)))))) )),
% 111.21/15.93 inference(beta-eta_normalization,[],[f63])).
% 111.21/15.93 thf(f65,plain,(
% 111.21/15.93 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = ((subset @ (sK2 @ X1) @ X1))) | ($false = ((in @ X3 @ X1))) | ($true = (((in @ X2 @ X3) => (in @ X2 @ X1))))) )),
% 111.21/15.93 inference(imp_proxy_clausification,[],[f64])).
% 111.21/15.93 thf(f66,plain,(
% 111.21/15.93 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = ((subset @ (sK2 @ X1) @ X1))) | ($false = ((in @ X3 @ X1))) | ($false = ((in @ X2 @ X3))) | (((in @ X2 @ X1)) = $true)) )),
% 111.21/15.93 inference(imp_proxy_clausification,[],[f65])).
% 111.21/15.93 thf(f67,plain,(
% 111.21/15.93 ( ! [X1 : $i] : (($true = (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ Y1) => (in @ Y2 @ Y0)))) => (subset @ Y1 @ Y0))))) @ X1)))) )),
% 111.21/15.93 inference(pi_proxy_clausification,[],[f38])).
% 111.21/15.93 thf(f68,plain,(
% 111.21/15.93 ( ! [X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => (in @ Y1 @ X1)))) => (subset @ Y0 @ X1))))))) )),
% 111.21/15.93 inference(beta-eta_normalization,[],[f67])).
% 111.21/15.93 thf(f69,plain,(
% 111.21/15.93 ( ! [X2 : $i,X1 : $i] : (($true = (((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ Y0) => (in @ Y1 @ X1)))) => (subset @ Y0 @ X1))) @ X2)))) )),
% 111.21/15.93 inference(pi_proxy_clausification,[],[f68])).
% 111.21/15.93 thf(f70,plain,(
% 111.21/15.93 ( ! [X2 : $i,X1 : $i] : (($true = (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X2) => (in @ Y0 @ X1)))) => (subset @ X2 @ X1))))) )),
% 111.21/15.93 inference(beta-eta_normalization,[],[f69])).
% 111.21/15.93 thf(f71,plain,(
% 111.21/15.93 ( ! [X2 : $i,X1 : $i] : (($false = ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ X2) => (in @ Y0 @ X1)))))) | ($true = ((subset @ X2 @ X1)))) )),
% 111.21/15.93 inference(imp_proxy_clausification,[],[f70])).
% 111.21/15.93 thf(f72,plain,(
% 111.21/15.93 ( ! [X2 : $i,X1 : $i] : (($false = (((^[Y0 : $i]: ((in @ Y0 @ X2) => (in @ Y0 @ X1))) @ (sK3 @ X1 @ X2)))) | ($true = ((subset @ X2 @ X1)))) )),
% 111.21/15.93 inference(sigma_proxy_clausification,[],[f71])).
% 111.21/15.93 thf(f73,plain,(
% 111.21/15.93 ( ! [X2 : $i,X1 : $i] : (($false = (((in @ (sK3 @ X1 @ X2) @ X2) => (in @ (sK3 @ X1 @ X2) @ X1)))) | ($true = ((subset @ X2 @ X1)))) )),
% 111.21/15.93 inference(beta-eta_normalization,[],[f72])).
% 111.21/15.93 thf(f74,plain,(
% 111.21/15.93 ( ! [X2 : $i,X1 : $i] : (($false = ((in @ (sK3 @ X1 @ X2) @ X1))) | ($true = ((subset @ X2 @ X1)))) )),
% 111.21/15.93 inference(imp_proxy_clausification,[],[f73])).
% 111.21/15.93 thf(f75,plain,(
% 111.21/15.93 ( ! [X2 : $i,X1 : $i] : (($true = ((in @ (sK3 @ X1 @ X2) @ X2))) | ($true = ((subset @ X2 @ X1)))) )),
% 111.21/15.93 inference(imp_proxy_clausification,[],[f73])).
% 111.21/15.93 thf(f76,plain,(
% 111.21/15.93 ( ! [X1 : $i] : (($true = (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ (setunion @ Y1)) => (!! @ $o @ (^[Y2 : $o]: ((!! @ $i @ (^[Y3 : $i]: ((in @ Y0 @ Y3) => ((in @ Y3 @ Y1) => Y2)))) => Y2))))))) @ X1)))) )),
% 111.21/15.93 inference(pi_proxy_clausification,[],[f37])).
% 111.21/15.93 thf(f77,plain,(
% 111.21/15.93 ( ! [X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((in @ X1 @ (setunion @ Y0)) => (!! @ $o @ (^[Y1 : $o]: ((!! @ $i @ (^[Y2 : $i]: ((in @ X1 @ Y2) => ((in @ Y2 @ Y0) => Y1)))) => Y1))))))))) )),
% 111.21/15.93 inference(beta-eta_normalization,[],[f76])).
% 111.21/15.93 thf(f78,plain,(
% 111.21/15.93 ( ! [X2 : $i,X1 : $i] : (($true = (((^[Y0 : $i]: ((in @ X1 @ (setunion @ Y0)) => (!! @ $o @ (^[Y1 : $o]: ((!! @ $i @ (^[Y2 : $i]: ((in @ X1 @ Y2) => ((in @ Y2 @ Y0) => Y1)))) => Y1))))) @ X2)))) )),
% 111.21/15.93 inference(pi_proxy_clausification,[],[f77])).
% 111.21/15.93 thf(f79,plain,(
% 111.21/15.93 ( ! [X2 : $i,X1 : $i] : (($true = (((in @ X1 @ (setunion @ X2)) => (!! @ $o @ (^[Y0 : $o]: ((!! @ $i @ (^[Y1 : $i]: ((in @ X1 @ Y1) => ((in @ Y1 @ X2) => Y0)))) => Y0))))))) )),
% 111.21/15.93 inference(beta-eta_normalization,[],[f78])).
% 111.21/15.93 thf(f80,plain,(
% 111.21/15.93 ( ! [X2 : $i,X1 : $i] : (($false = ((in @ X1 @ (setunion @ X2)))) | ($true = ((!! @ $o @ (^[Y0 : $o]: ((!! @ $i @ (^[Y1 : $i]: ((in @ X1 @ Y1) => ((in @ Y1 @ X2) => Y0)))) => Y0)))))) )),
% 111.21/15.93 inference(imp_proxy_clausification,[],[f79])).
% 111.21/15.93 thf(f81,plain,(
% 111.21/15.93 ( ! [X2 : $i,X3 : $o,X1 : $i] : (($false = ((in @ X1 @ (setunion @ X2)))) | ($true = (((^[Y0 : $o]: ((!! @ $i @ (^[Y1 : $i]: ((in @ X1 @ Y1) => ((in @ Y1 @ X2) => Y0)))) => Y0)) @ X3)))) )),
% 111.21/15.93 inference(pi_proxy_clausification,[],[f80])).
% 111.21/15.93 thf(f82,plain,(
% 111.21/15.93 ( ! [X2 : $i,X3 : $o,X1 : $i] : (($false = ((in @ X1 @ (setunion @ X2)))) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((in @ X1 @ Y0) => ((in @ Y0 @ X2) => X3)))) => X3)))) )),
% 111.21/15.93 inference(beta-eta_normalization,[],[f81])).
% 111.21/15.93 thf(f83,plain,(
% 111.21/15.93 ( ! [X2 : $i,X3 : $o,X1 : $i] : (($false = ((in @ X1 @ (setunion @ X2)))) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((in @ X1 @ Y0) => ((in @ Y0 @ X2) => X3)))))) | ($true = X3)) )),
% 111.21/15.93 inference(imp_proxy_clausification,[],[f82])).
% 111.21/15.93 thf(f84,plain,(
% 111.21/15.93 ( ! [X2 : $i,X3 : $o,X1 : $i] : (($false = ((in @ X1 @ (setunion @ X2)))) | ($false = (((^[Y0 : $i]: ((in @ X1 @ Y0) => ((in @ Y0 @ X2) => X3))) @ (sK4 @ X3 @ X1 @ X2)))) | ($true = X3)) )),
% 111.21/15.93 inference(sigma_proxy_clausification,[],[f83])).
% 111.21/15.93 thf(f85,plain,(
% 111.21/15.93 ( ! [X2 : $i,X3 : $o,X1 : $i] : (($false = ((in @ X1 @ (setunion @ X2)))) | ($false = (((in @ X1 @ (sK4 @ X3 @ X1 @ X2)) => ((in @ (sK4 @ X3 @ X1 @ X2) @ X2) => X3)))) | ($true = X3)) )),
% 111.21/15.93 inference(beta-eta_normalization,[],[f84])).
% 111.21/15.93 thf(f86,plain,(
% 111.21/15.93 ( ! [X2 : $i,X3 : $o,X1 : $i] : (($false = ((in @ X1 @ (setunion @ X2)))) | ($false = (((in @ (sK4 @ X3 @ X1 @ X2) @ X2) => X3))) | ($true = X3)) )),
% 111.21/15.93 inference(imp_proxy_clausification,[],[f85])).
% 111.21/15.93 thf(f87,plain,(
% 111.21/15.93 ( ! [X2 : $i,X3 : $o,X1 : $i] : (($true = ((in @ X1 @ (sK4 @ X3 @ X1 @ X2)))) | ($false = ((in @ X1 @ (setunion @ X2)))) | ($true = X3)) )),
% 111.21/15.93 inference(imp_proxy_clausification,[],[f85])).
% 111.21/15.93 thf(f89,plain,(
% 111.21/15.93 ( ! [X2 : $i,X3 : $o,X1 : $i] : (($true = ((in @ (sK4 @ X3 @ X1 @ X2) @ X2))) | ($false = ((in @ X1 @ (setunion @ X2)))) | ($true = X3)) )),
% 111.21/15.93 inference(imp_proxy_clausification,[],[f86])).
% 111.21/15.93 thf(f90,plain,(
% 111.21/15.93 ( ! [X1 : $i] : (($true = (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y1 @ Y0) => ((in @ Y0 @ Y2) => (in @ Y1 @ (setunion @ Y2))))))))) @ X1)))) )),
% 111.21/15.93 inference(pi_proxy_clausification,[],[f36])).
% 111.21/15.93 thf(f91,plain,(
% 111.21/15.93 ( ! [X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ X1) => ((in @ X1 @ Y1) => (in @ Y0 @ (setunion @ Y1))))))))))) )),
% 111.21/15.93 inference(beta-eta_normalization,[],[f90])).
% 111.21/15.93 thf(f92,plain,(
% 111.21/15.93 ( ! [X2 : $i,X1 : $i] : (($true = (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y0 @ X1) => ((in @ X1 @ Y1) => (in @ Y0 @ (setunion @ Y1))))))) @ X2)))) )),
% 111.21/15.93 inference(pi_proxy_clausification,[],[f91])).
% 111.21/15.93 thf(f93,plain,(
% 111.21/15.93 ( ! [X2 : $i,X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((in @ X2 @ X1) => ((in @ X1 @ Y0) => (in @ X2 @ (setunion @ Y0))))))))) )),
% 111.21/15.93 inference(beta-eta_normalization,[],[f92])).
% 111.21/15.93 thf(f94,plain,(
% 111.21/15.93 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (((^[Y0 : $i]: ((in @ X2 @ X1) => ((in @ X1 @ Y0) => (in @ X2 @ (setunion @ Y0))))) @ X3)))) )),
% 111.21/15.93 inference(pi_proxy_clausification,[],[f93])).
% 111.21/15.93 thf(f95,plain,(
% 111.21/15.93 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (((in @ X2 @ X1) => ((in @ X1 @ X3) => (in @ X2 @ (setunion @ X3))))))) )),
% 111.21/15.93 inference(beta-eta_normalization,[],[f94])).
% 111.21/15.93 thf(f96,plain,(
% 111.21/15.93 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((in @ X2 @ X1)) = $false) | ($true = (((in @ X1 @ X3) => (in @ X2 @ (setunion @ X3)))))) )),
% 111.21/15.93 inference(imp_proxy_clausification,[],[f95])).
% 111.21/15.93 thf(f97,plain,(
% 111.21/15.93 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((in @ X2 @ X1)) = $false) | (((in @ X1 @ X3)) = $false) | ($true = ((in @ X2 @ (setunion @ X3))))) )),
% 111.21/15.93 inference(imp_proxy_clausification,[],[f96])).
% 111.21/15.93 thf(f98,plain,(
% 111.21/15.93 ( ! [X3 : $o] : (($true = X3) | ($false = X3)) )),
% 111.21/15.93 inference(global_subsumption,[],[f35])).
% 111.21/15.93 thf(f103,definition,(
% 111.21/15.93 spl5_2 <=> ! [X3 : $o] : ($true = X3)),
% 111.21/15.93 introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition])).
% 111.21/15.93 thf(f104,plain,(
% 111.21/15.93 ( ! [X3 : $o] : (($true = X3)) ) | ~spl5_2),
% 111.21/15.93 inference(avatar_component_clause,[],[f103])).
% 111.21/15.93 thf(f129,plain,(
% 111.21/15.93 ($true = $false) | ~spl5_2),
% 111.21/15.93 inference(constrained_superposition,[],[f49,f104])).
% 111.21/15.93 thf(f130,plain,(
% 111.21/15.93 $false | ~spl5_2),
% 111.21/15.93 inference(trivial_inequality_removal,[],[f129])).
% 111.21/15.93 thf(f131,plain,(
% 111.21/15.93 ~spl5_2),
% 111.21/15.93 inference(avatar_contradiction_clause,[],[f130])).
% 111.21/15.93 thf(f185,plain,(
% 111.21/15.93 ( ! [X0 : $i,X1 : $i] : (($true != $true) | (((in @ X1 @ X0)) = $false) | (((subset @ X1 @ X0)) = $true) | ($false = ((in @ X0 @ sK0)))) )),
% 111.21/15.93 inference(constrained_superposition,[],[f45,f98])).
% 111.21/15.93 thf(f191,plain,(
% 111.21/15.93 ( ! [X0 : $i,X1 : $i] : (($false = ((in @ X0 @ sK0))) | (((subset @ X1 @ X0)) = $true) | (((in @ X1 @ X0)) = $false)) )),
% 111.21/15.93 inference(trivial_inequality_removal,[],[f185])).
% 111.21/15.93 thf(f258,plain,(
% 111.21/15.93 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = $false) | (((subset @ X1 @ X0)) = $true) | (((in @ X1 @ X2)) = $false) | ($true = ((in @ (sK3 @ X0 @ X1) @ (setunion @ X2))))) )),
% 111.21/15.93 inference(constrained_superposition,[],[f75,f97])).
% 111.21/15.93 thf(f261,plain,(
% 111.21/15.93 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = $false) | ($true = ((subset @ X1 @ (setunion @ X0)))) | ($false = ((in @ (sK3 @ (setunion @ X0) @ X1) @ X2))) | (((in @ X2 @ X0)) = $false)) )),
% 111.21/15.93 inference(constrained_superposition,[],[f74,f97])).
% 111.21/15.93 thf(f263,plain,(
% 111.21/15.93 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = ((in @ (sK3 @ (setunion @ X0) @ X1) @ X2))) | ($true = ((subset @ X1 @ (setunion @ X0)))) | (((in @ X2 @ X0)) = $false)) )),
% 111.21/15.93 inference(trivial_inequality_removal,[],[f261])).
% 111.21/15.93 thf(f265,plain,(
% 111.21/15.93 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = ((in @ (sK3 @ X0 @ X1) @ (setunion @ X2)))) | (((in @ X1 @ X2)) = $false) | (((subset @ X1 @ X0)) = $true)) )),
% 111.21/15.93 inference(trivial_inequality_removal,[],[f258])).
% 111.21/15.93 thf(f1594,plain,(
% 111.21/15.93 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $o] : (($true = $false) | ($false = ((in @ X0 @ (setunion @ X2)))) | ($true = X1) | ($true = ((in @ (sK2 @ X3) @ X3))) | ($false = ((in @ (sK4 @ X1 @ X0 @ X2) @ X3))) | ($true = ((in @ X0 @ X3)))) )),
% 111.21/15.93 inference(constrained_superposition,[],[f87,f62])).
% 111.21/15.93 thf(f1648,plain,(
% 111.21/15.93 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $o] : (($false = ((in @ (sK4 @ X1 @ X0 @ X2) @ X3))) | ($true = ((in @ (sK2 @ X3) @ X3))) | ($true = X1) | ($false = ((in @ X0 @ (setunion @ X2)))) | ($true = ((in @ X0 @ X3)))) )),
% 111.21/15.93 inference(trivial_inequality_removal,[],[f1594])).
% 111.21/15.93 thf(f2906,plain,(
% 111.21/15.93 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $o] : (($true = $false) | ($false = ((in @ X0 @ (setunion @ X2)))) | ($true = X1) | ($false = ((subset @ (sK2 @ X3) @ X3))) | ($false = ((in @ (sK4 @ X1 @ X0 @ X2) @ X3))) | ($true = ((in @ X0 @ X3)))) )),
% 111.21/15.93 inference(constrained_superposition,[],[f87,f66])).
% 111.21/15.93 thf(f2946,plain,(
% 111.21/15.93 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $o] : (($false = ((in @ (sK4 @ X1 @ X0 @ X2) @ X3))) | ($false = ((subset @ (sK2 @ X3) @ X3))) | ($true = X1) | ($false = ((in @ X0 @ (setunion @ X2)))) | ($true = ((in @ X0 @ X3)))) )),
% 111.21/15.93 inference(trivial_inequality_removal,[],[f2906])).
% 111.21/15.93 thf(f129610,plain,(
% 111.21/15.93 ( ! [X2 : $i,X0 : $o,X1 : $i] : (($true = $false) | ($false = ((in @ X1 @ (setunion @ X2)))) | ($true = X0) | ($true = ((in @ (sK2 @ X2) @ X2))) | ($true = X0) | ($false = ((in @ X1 @ (setunion @ X2)))) | (((in @ X1 @ X2)) = $true)) )),
% 111.21/15.93 inference(constrained_superposition,[],[f89,f1648])).
% 111.21/15.93 thf(f130293,plain,(
% 111.21/15.93 ( ! [X2 : $i,X0 : $o,X1 : $i] : (($true = $false) | ($false = ((in @ X1 @ (setunion @ X2)))) | ($true = X0) | ($true = ((in @ (sK2 @ X2) @ X2))) | (((in @ X1 @ X2)) = $true)) )),
% 111.21/15.93 inference(duplicate_literal_removal,[],[f129610])).
% 111.21/15.93 thf(f130294,plain,(
% 111.21/15.93 ( ! [X2 : $i,X0 : $o,X1 : $i] : (($false = ((in @ X1 @ (setunion @ X2)))) | ($true = X0) | ($true = ((in @ (sK2 @ X2) @ X2))) | (((in @ X1 @ X2)) = $true)) )),
% 111.21/15.93 inference(trivial_inequality_removal,[],[f130293])).
% 111.21/15.93 thf(f130660,definition,(
% 111.21/15.93 spl5_199 <=> ! [X2 : $i,X1 : $i] : (($false = ((in @ X1 @ (setunion @ X2)))) | (((in @ X1 @ X2)) = $true) | ($true = ((in @ (sK2 @ X2) @ X2))))),
% 111.21/15.93 introduced(definition,[new_symbols(definition,[spl5_199])],[avatar_definition])).
% 111.21/15.93 thf(f130661,plain,(
% 111.21/15.93 ( ! [X2 : $i,X1 : $i] : (($true = ((in @ (sK2 @ X2) @ X2))) | ($false = ((in @ X1 @ (setunion @ X2)))) | (((in @ X1 @ X2)) = $true)) ) | ~spl5_199),
% 111.21/15.93 inference(avatar_component_clause,[],[f130660])).
% 111.21/15.93 thf(f130662,plain,(
% 111.21/15.93 spl5_2 | spl5_199),
% 111.21/15.93 inference(avatar_split_clause,[],[f130294,f130660,f103])).
% 111.21/15.93 thf(f217294,plain,(
% 111.21/15.93 ( ! [X2 : $i,X0 : $o,X1 : $i] : (($true = $false) | ($false = ((in @ X1 @ (setunion @ X2)))) | ($true = X0) | ($false = ((subset @ (sK2 @ X2) @ X2))) | ($true = X0) | ($false = ((in @ X1 @ (setunion @ X2)))) | (((in @ X1 @ X2)) = $true)) )),
% 111.21/15.93 inference(constrained_superposition,[],[f89,f2946])).
% 111.21/15.93 thf(f217460,plain,(
% 111.21/15.93 ( ! [X2 : $i,X0 : $o,X1 : $i] : (($true = $false) | ($false = ((in @ X1 @ (setunion @ X2)))) | ($true = X0) | ($false = ((subset @ (sK2 @ X2) @ X2))) | (((in @ X1 @ X2)) = $true)) )),
% 111.21/15.93 inference(duplicate_literal_removal,[],[f217294])).
% 111.21/15.93 thf(f217461,plain,(
% 111.21/15.93 ( ! [X2 : $i,X0 : $o,X1 : $i] : (($false = ((in @ X1 @ (setunion @ X2)))) | ($true = X0) | ($false = ((subset @ (sK2 @ X2) @ X2))) | (((in @ X1 @ X2)) = $true)) )),
% 111.21/15.93 inference(trivial_inequality_removal,[],[f217460])).
% 111.21/15.93 thf(f217591,definition,(
% 111.21/15.93 spl5_214 <=> ! [X2 : $i,X1 : $i] : (($false = ((in @ X1 @ (setunion @ X2)))) | (((in @ X1 @ X2)) = $true) | ($false = ((subset @ (sK2 @ X2) @ X2))))),
% 111.21/15.93 introduced(definition,[new_symbols(definition,[spl5_214])],[avatar_definition])).
% 111.21/15.93 thf(f217592,plain,(
% 111.21/15.93 ( ! [X2 : $i,X1 : $i] : (($false = ((subset @ (sK2 @ X2) @ X2))) | ($false = ((in @ X1 @ (setunion @ X2)))) | (((in @ X1 @ X2)) = $true)) ) | ~spl5_214),
% 111.21/15.93 inference(avatar_component_clause,[],[f217591])).
% 111.21/15.93 thf(f217593,plain,(
% 111.21/15.93 spl5_2 | spl5_214),
% 111.21/15.93 inference(avatar_split_clause,[],[f217461,f217591,f103])).
% 111.21/15.93 thf(f217767,plain,(
% 111.21/15.93 ( ! [X0 : $i,X1 : $i] : (($true = $false) | ($false = ((in @ X0 @ sK0))) | ($false = ((in @ (sK2 @ X0) @ X0))) | (((in @ X1 @ (setunion @ X0))) = $false) | (((in @ X1 @ X0)) = $true)) ) | ~spl5_214),
% 111.21/15.93 inference(constrained_superposition,[],[f191,f217592])).
% 111.21/15.93 thf(f218095,plain,(
% 111.21/15.93 ( ! [X0 : $i,X1 : $i] : (($false = ((in @ (sK2 @ X0) @ X0))) | (((in @ X1 @ (setunion @ X0))) = $false) | ($false = ((in @ X0 @ sK0))) | (((in @ X1 @ X0)) = $true)) ) | ~spl5_214),
% 111.21/15.93 inference(trivial_inequality_removal,[],[f217767])).
% 111.21/15.93 thf(f219539,plain,(
% 111.21/15.93 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = $false) | (((in @ X1 @ (setunion @ X0))) = $false) | (((in @ X1 @ X0)) = $true) | ($false = ((in @ X2 @ (setunion @ X0)))) | ($false = ((in @ X0 @ sK0))) | (((in @ X2 @ X0)) = $true)) ) | (~spl5_199 | ~spl5_214)),
% 111.21/15.93 inference(constrained_superposition,[],[f130661,f218095])).
% 111.21/15.93 thf(f219864,plain,(
% 111.21/15.93 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = ((in @ X2 @ (setunion @ X0)))) | (((in @ X1 @ (setunion @ X0))) = $false) | (((in @ X1 @ X0)) = $true) | ($false = ((in @ X0 @ sK0))) | (((in @ X2 @ X0)) = $true)) ) | (~spl5_199 | ~spl5_214)),
% 111.21/15.93 inference(trivial_inequality_removal,[],[f219539])).
% 111.21/15.93 thf(f238468,plain,(
% 111.21/15.93 ( ! [X0 : $i,X1 : $i] : (($false != $false) | ($false = ((in @ X0 @ (setunion @ X1)))) | ($true = ((in @ X0 @ X1))) | (((in @ X1 @ sK0)) = $false) | ($true = ((in @ X0 @ X1)))) ) | (~spl5_199 | ~spl5_214)),
% 111.21/15.93 inference(equality_factoring,[],[f219864])).
% 111.21/15.93 thf(f238469,plain,(
% 111.21/15.93 ( ! [X0 : $i,X1 : $i] : (($false != $false) | ($false = ((in @ X0 @ (setunion @ X1)))) | ($true = ((in @ X0 @ X1))) | (((in @ X1 @ sK0)) = $false)) ) | (~spl5_199 | ~spl5_214)),
% 111.21/15.93 inference(duplicate_literal_removal,[],[f238468])).
% 111.21/15.93 thf(f238470,plain,(
% 111.21/15.93 ( ! [X0 : $i,X1 : $i] : (($false = ((in @ X0 @ (setunion @ X1)))) | ($true = ((in @ X0 @ X1))) | (((in @ X1 @ sK0)) = $false)) ) | (~spl5_199 | ~spl5_214)),
% 111.21/15.93 inference(trivial_inequality_removal,[],[f238469])).
% 111.21/15.93 thf(f239123,plain,(
% 111.21/15.93 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = $false) | (((in @ X1 @ X2)) = $false) | (((subset @ X1 @ X0)) = $true) | ($true = ((in @ (sK3 @ X0 @ X1) @ X2))) | ($false = ((in @ X2 @ sK0)))) ) | (~spl5_199 | ~spl5_214)),
% 111.21/15.93 inference(constrained_superposition,[],[f265,f238470])).
% 111.21/15.93 thf(f239144,plain,(
% 111.21/15.93 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = ((in @ (sK3 @ X0 @ X1) @ X2))) | (((subset @ X1 @ X0)) = $true) | (((in @ X1 @ X2)) = $false) | ($false = ((in @ X2 @ sK0)))) ) | (~spl5_199 | ~spl5_214)),
% 111.21/15.93 inference(trivial_inequality_removal,[],[f239123])).
% 111.21/15.93 thf(f243249,plain,(
% 111.21/15.93 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = $false) | ($true = ((subset @ X1 @ (setunion @ X0)))) | (((in @ X2 @ X0)) = $false) | ($true = ((subset @ X1 @ (setunion @ X0)))) | (((in @ X1 @ X2)) = $false) | ($false = ((in @ X2 @ sK0)))) ) | (~spl5_199 | ~spl5_214)),
% 111.21/15.93 inference(constrained_superposition,[],[f263,f239144])).
% 111.21/15.93 thf(f243769,plain,(
% 111.21/15.93 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = $false) | ($true = ((subset @ X1 @ (setunion @ X0)))) | (((in @ X2 @ X0)) = $false) | (((in @ X1 @ X2)) = $false) | ($false = ((in @ X2 @ sK0)))) ) | (~spl5_199 | ~spl5_214)),
% 111.21/15.93 inference(duplicate_literal_removal,[],[f243249])).
% 111.21/15.93 thf(f243770,plain,(
% 111.21/15.93 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = ((subset @ X1 @ (setunion @ X0)))) | (((in @ X2 @ X0)) = $false) | (((in @ X1 @ X2)) = $false) | ($false = ((in @ X2 @ sK0)))) ) | (~spl5_199 | ~spl5_214)),
% 111.21/15.93 inference(trivial_inequality_removal,[],[f243769])).
% 111.21/15.93 thf(f244774,plain,(
% 111.21/15.93 ( ! [X0 : $i] : (($true = $false) | ($false = ((in @ X0 @ sK0))) | ($false = ((in @ sK1 @ X0))) | ($false = ((in @ X0 @ sK0)))) ) | (~spl5_199 | ~spl5_214)),
% 111.21/15.93 inference(constrained_superposition,[],[f49,f243770])).
% 111.21/15.93 thf(f245329,plain,(
% 111.21/15.93 ( ! [X0 : $i] : (($true = $false) | ($false = ((in @ X0 @ sK0))) | ($false = ((in @ sK1 @ X0)))) ) | (~spl5_199 | ~spl5_214)),
% 111.21/15.93 inference(duplicate_literal_removal,[],[f244774])).
% 111.21/15.93 thf(f245330,plain,(
% 111.21/15.93 ( ! [X0 : $i] : (($false = ((in @ X0 @ sK0))) | ($false = ((in @ sK1 @ X0)))) ) | (~spl5_199 | ~spl5_214)),
% 111.21/15.93 inference(trivial_inequality_removal,[],[f245329])).
% 111.21/15.93 thf(f245775,plain,(
% 111.21/15.93 ( ! [X0 : $o,X1 : $i] : (($true = $false) | ($false = ((in @ X1 @ (setunion @ sK0)))) | ($true = X0) | ($false = ((in @ sK1 @ (sK4 @ X0 @ X1 @ sK0))))) ) | (~spl5_199 | ~spl5_214)),
% 111.21/15.93 inference(constrained_superposition,[],[f89,f245330])).
% 111.21/15.93 thf(f245801,plain,(
% 111.21/15.93 ( ! [X0 : $o,X1 : $i] : (($false = ((in @ sK1 @ (sK4 @ X0 @ X1 @ sK0)))) | ($true = X0) | ($false = ((in @ X1 @ (setunion @ sK0))))) ) | (~spl5_199 | ~spl5_214)),
% 111.21/15.93 inference(trivial_inequality_removal,[],[f245775])).
% 111.21/15.93 thf(f246658,plain,(
% 111.21/15.93 ( ! [X0 : $o] : (($true = $false) | ($false = ((in @ sK1 @ (setunion @ sK0)))) | ($true = X0) | ($true = X0) | ($false = ((in @ sK1 @ (setunion @ sK0))))) ) | (~spl5_199 | ~spl5_214)),
% 111.21/15.93 inference(constrained_superposition,[],[f87,f245801])).
% 111.21/15.93 thf(f246659,plain,(
% 111.21/15.93 ( ! [X0 : $o] : (($true = $false) | ($false = ((in @ sK1 @ (setunion @ sK0)))) | ($true = X0)) ) | (~spl5_199 | ~spl5_214)),
% 111.21/15.93 inference(duplicate_literal_removal,[],[f246658])).
% 111.21/15.93 thf(f246660,plain,(
% 111.21/15.93 ( ! [X0 : $o] : (($false = ((in @ sK1 @ (setunion @ sK0)))) | ($true = X0)) ) | (~spl5_199 | ~spl5_214)),
% 111.21/15.93 inference(trivial_inequality_removal,[],[f246659])).
% 111.21/15.93 thf(f246664,plain,(
% 111.21/15.93 ( ! [X0 : $o] : (($true = $false) | ($true = X0)) ) | (~spl5_199 | ~spl5_214)),
% 111.21/15.93 inference(forward_demodulation,[],[f246660,f50])).
% 111.21/15.93 thf(f246665,plain,(
% 111.21/15.93 ( ! [X0 : $o] : (($true = X0)) ) | (~spl5_199 | ~spl5_214)),
% 111.21/15.93 inference(trivial_inequality_removal,[],[f246664])).
% 111.21/15.93 thf(f246668,plain,(
% 111.21/15.93 spl5_2 | ~spl5_199 | ~spl5_214),
% 111.21/15.93 inference(avatar_split_clause,[],[f246665,f217591,f130660,f103])).
% 111.21/15.93 cnf(s26, plain, ~spl5_2, inference(sat_conversion,[],[f131])).
% 111.21/15.93 cnf(s10435, plain, spl5_2 | spl5_199, inference(sat_conversion,[],[f130662])).
% 111.21/15.93 cnf(s12701, plain, spl5_2 | spl5_214, inference(sat_conversion,[],[f217593])).
% 111.21/15.93 cnf(s13132, plain, spl5_2 | ~spl5_199 | ~spl5_214, inference(sat_conversion,[],[f246668])).
% 111.21/15.93 cnf(s13138, plain, spl5_214, inference(rat,[],[s12701,s26])).
% 111.21/15.93 cnf(s13141, plain, spl5_199, inference(rat,[],[s10435,s26])).
% 111.21/15.93 cnf(s13155, plain, $false, inference(rat,[],[s13132,s26,s13138,s13141])).
% 111.21/15.93 thf(f246669,plain,(
% 111.21/15.93 $false),
% 111.21/15.93 inference(avatar_sat_refutation,[],[s13155])).
% 111.21/15.93 % SZS output end Proof for theBenchmark
% 111.21/15.93 % (809952)------------------------------
% 111.21/15.93 % (809952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 111.21/15.93 % (809952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.21/15.93 % (809952)CaDiCaL version: 2.1.3
% 111.21/15.93 % (809952)Termination reason: Refutation
% 111.21/15.93 % (809952)Time elapsed: 15.672 s
% 111.21/15.93 % (809952)Peak memory usage: 65 MB
% 111.21/15.93 % (809952)Instructions burned: 34865 (million)
% 111.21/15.93 % (809945)Success in time 15.717 s
% 111.21/15.93 % Vampire exiting
%------------------------------------------------------------------------------