%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO327^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 08:49:44 AM UTC 2026
% Result : Theorem 5.78s 1.18s
% Output : Refutation 5.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYO327^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.27 % Computer : n016.cluster.edu
% 0.24/0.27 % Model : x86_64 x86_64
% 0.24/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.27 % Memory : 8046.5625MB
% 0.24/0.27 % OS : Linux 6.8.0-71-generic
% 0.24/0.28 % CPULimit : 300
% 0.24/0.28 % WCLimit : 300
% 0.24/0.28 % DateTime : Tue Sep 29 16:51:07 UTC 2026
% 0.24/0.28 % CPUTime :
% 0.24/0.28 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.31 Running first-order model finding
% 0.24/0.31 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.78/1.18 % (603719)Will run a generic schedule for satisfiability detection.
% 5.78/1.18 % (603724)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3856893738_3000 on theBenchmark for (3000ds/0Mi)
% 5.78/1.18 % (603727)dis+10_1_sil=32000:sp=arity:random_seed=612183451:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 5.78/1.18 % Exception at run slice level
% 5.78/1.18 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.78/1.18 % (603725)% WARNING: option uhcvi not known.
% 5.78/1.18 % (603725)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=124421123:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 5.78/1.18 % (603726)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1831330741:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 5.78/1.18 % (603728)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1667715928:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 5.78/1.18 % (603729)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3809090423:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 5.78/1.18 % (603725)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.78/1.18 % (603728)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.78/1.18 % (603725)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.78/1.18 % (603730)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1515544100:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 5.78/1.18 % (603735)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2597970408:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.78/1.18 % Exception at run slice level
% 5.78/1.18 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.78/1.18 % (603743)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3112160267:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.78/1.18 % (603727)Instruction limit reached!
% 5.78/1.18 % (603727)------------------------------
% 5.78/1.18 % (603727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.78/1.18 % (603727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.18 % (603727)CaDiCaL version: 2.1.3
% 5.78/1.18 % (603727)Termination reason: Instruction limit
% 5.78/1.18 % (603727)Termination phase: Saturation
% 5.78/1.18 % (603727)Time elapsed: 0.047 s
% 5.78/1.18 % (603727)Peak memory usage: 12 MB
% 5.78/1.18 % (603727)Instructions burned: 103 (million)
% 5.78/1.18 % (603745)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=3913899780:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 5.78/1.18 % (603745)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.78/1.18 % (603745)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.78/1.18 % (603728)Instruction limit reached!
% 5.78/1.18 % (603728)------------------------------
% 5.78/1.18 % (603728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.78/1.18 % (603728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.18 % (603728)CaDiCaL version: 2.1.3
% 5.78/1.18 % (603728)Termination reason: Instruction limit
% 5.78/1.18 % (603728)Termination phase: Saturation
% 5.78/1.18 % (603728)Time elapsed: 0.095 s
% 5.78/1.18 % (603728)Peak memory usage: 12 MB
% 5.78/1.18 % (603728)Instructions burned: 116 (million)
% 5.78/1.18 % (603729)Instruction limit reached!
% 5.78/1.18 % (603729)------------------------------
% 5.78/1.18 % (603729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.78/1.18 % (603729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.18 % (603729)CaDiCaL version: 2.1.3
% 5.78/1.18 % (603729)Termination reason: Instruction limit
% 5.78/1.18 % (603729)Termination phase: Saturation
% 5.78/1.18 % (603729)Time elapsed: 0.111 s
% 5.78/1.18 % (603729)Peak memory usage: 12 MB
% 5.78/1.18 % (603729)Instructions burned: 131 (million)
% 5.78/1.18 % (603743)Instruction limit reached!
% 5.78/1.18 % (603743)------------------------------
% 5.78/1.18 % (603743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.78/1.18 % (603743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.18 % (603743)CaDiCaL version: 2.1.3
% 5.78/1.18 % (603743)Termination reason: Instruction limit
% 5.78/1.18 % (603743)Termination phase: Saturation
% 5.78/1.18 % (603743)Time elapsed: 0.081 s
% 5.78/1.18 % (603743)Peak memory usage: 12 MB
% 5.78/1.18 % (603743)Instructions burned: 132 (million)
% 5.78/1.18 % (603747)ott-21_1_sil=16000:fs=off:random_seed=181663109:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.78/1.18 % (603749)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2574561759:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 5.78/1.18 % (603730)Instruction limit reached!
% 5.78/1.18 % (603730)------------------------------
% 5.78/1.18 % (603730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.78/1.18 % (603730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.18 % (603730)CaDiCaL version: 2.1.3
% 5.78/1.18 % (603730)Termination reason: Instruction limit
% 5.78/1.18 % (603730)Termination phase: Saturation
% 5.78/1.18 % (603730)Time elapsed: 0.130 s
% 5.78/1.18 % (603730)Peak memory usage: 12 MB
% 5.78/1.18 % (603730)Instructions burned: 159 (million)
% 5.78/1.18 % (603750)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2277728686:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 5.78/1.18 % Exception at run slice level
% 5.78/1.18 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.78/1.18 % (603753)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3288676821:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 5.78/1.18 % (603756)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4138045802:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 5.78/1.18 % Exception at run slice level
% 5.78/1.18 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.78/1.18 % (603760)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=481250903:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 5.78/1.18 % (603760)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.78/1.18 % (603747)Instruction limit reached!
% 5.78/1.18 % (603747)------------------------------
% 5.78/1.18 % (603747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.78/1.18 % (603747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.18 % (603747)CaDiCaL version: 2.1.3
% 5.78/1.18 % (603747)Termination reason: Instruction limit
% 5.78/1.18 % (603747)Termination phase: Saturation
% 5.78/1.18 % (603747)Time elapsed: 0.148 s
% 5.78/1.18 % (603747)Peak memory usage: 12 MB
% 5.78/1.18 % (603747)Instructions burned: 180 (million)
% 5.78/1.18 % (603765)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3513359715:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 5.78/1.18 % (603765)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.78/1.18 % (603749)Instruction limit reached!
% 5.78/1.18 % (603749)------------------------------
% 5.78/1.18 % (603749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.78/1.18 % (603749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.18 % (603749)CaDiCaL version: 2.1.3
% 5.78/1.18 % (603749)Termination reason: Instruction limit
% 5.78/1.18 % (603749)Termination phase: Saturation
% 5.78/1.18 % (603749)Time elapsed: 0.212 s
% 5.78/1.18 % (603749)Peak memory usage: 13 MB
% 5.78/1.18 % (603749)Instructions burned: 478 (million)
% 5.78/1.18 % (603767)fmb+10_1_sil=64000:random_seed=2121761845:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 5.78/1.18 % (603767)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 5.78/1.18 % Exception at run slice level
% 5.78/1.18 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.78/1.18 % (603769)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1783725641:i=9515:nm=5_2996 on theBenchmark for (2996ds/9515Mi)
% 5.78/1.18 % Exception at run slice level
% 5.78/1.18 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.78/1.18 % (603771)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2013203325:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 5.78/1.18 % Exception at run slice level
% 5.78/1.18 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.78/1.18 % (603773)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3476101748:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 5.78/1.18 % (603773)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.78/1.18 % (603745)Instruction limit reached!
% 5.78/1.18 % (603745)------------------------------
% 5.78/1.18 % (603745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.78/1.18 % (603745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.18 % (603745)CaDiCaL version: 2.1.3
% 5.78/1.18 % (603745)Termination reason: Instruction limit
% 5.78/1.18 % (603745)Termination phase: Saturation
% 5.78/1.18 % (603745)Time elapsed: 0.576 s
% 5.78/1.18 % (603745)Peak memory usage: 14 MB
% 5.78/1.18 % (603745)Instructions burned: 686 (million)
% 5.78/1.18 % (603775)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2462842763:i=1472:ins=7:fdi=8:gsp=on_2993 on theBenchmark for (2993ds/1472Mi)
% 5.78/1.18 % (603775)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 5.78/1.18 % (603775)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.78/1.18 % (603760)Instruction limit reached!
% 5.78/1.18 % (603760)------------------------------
% 5.78/1.18 % (603760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.78/1.18 % (603760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.18 % (603760)CaDiCaL version: 2.1.3
% 5.78/1.18 % (603760)Termination reason: Instruction limit
% 5.78/1.18 % (603760)Termination phase: Saturation
% 5.78/1.18 % (603760)Time elapsed: 0.541 s
% 5.78/1.18 % (603760)Peak memory usage: 15 MB
% 5.78/1.18 % (603760)Instructions burned: 692 (million)
% 5.78/1.18 % (603779)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3377091368:i=6324_2992 on theBenchmark for (2992ds/6324Mi)
% 5.78/1.18 % Exception at run slice level
% 5.78/1.18 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.78/1.18 % (603781)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1097416599:fmbsr=2.30978:i=2174_2992 on theBenchmark for (2992ds/2174Mi)
% 5.78/1.18 % Exception at run slice level
% 5.78/1.18 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.78/1.18 % (603783)ott-2_1_sil=16000:newcnf=on:random_seed=3021593925:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2991 on theBenchmark for (2991ds/869Mi)
% 5.78/1.18 % (603783)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.78/1.18 % (603773) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-603719-603773"...
% 5.78/1.18 % (603773)...printing done.
% 5.78/1.18 % (603773)Refutation found. Thanks to Tanya!
% 5.78/1.18 % SZS status Theorem for theBenchmark
% 5.78/1.18 % SZS output start Proof for theBenchmark
% 5.78/1.18 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 5.78/1.18 thf(func_def_0, type, cHALF: ($i > $i > $o)).
% 5.78/1.18 thf(func_def_1, type, cDOUBLE: ($i > $i > $o)).
% 5.78/1.18 thf(func_def_2, type, cS: ($i > $i)).
% 5.78/1.18 thf(func_def_9, type, sK2: (($i > $i > $o) > $i)).
% 5.78/1.18 thf(func_def_10, type, sK3: (($i > $i > $o) > $i)).
% 5.78/1.18 thf(func_def_11, type, vNOT: ($o > $o)).
% 5.78/1.18 thf(func_def_12, type, db0: !>[X0: $tType]:(X0)).
% 5.78/1.18 thf(func_def_13, type, db1: !>[X0: $tType]:(X0)).
% 5.78/1.18 thf(func_def_14, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 5.78/1.18 thf(func_def_15, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 5.78/1.18 thf(func_def_16, type, db2: !>[X0: $tType]:(X0)).
% 5.78/1.18 thf(func_def_18, type, db3: !>[X0: $tType]:(X0)).
% 5.78/1.18 thf(func_def_19, type, db4: !>[X0: $tType]:(X0)).
% 5.78/1.18 thf(f1,conjecture,(
% 5.78/1.18 (! [X3 : $i,X4 : $i] : ((cHALF @ X3 @ X4) => (cHALF @ (cS @ (cS @ X3)) @ (cS @ X4))) & (cHALF @ c0 @ (cS @ c0)) & (cHALF @ c0 @ c0) & ! [X0 : ($i > $i > $o),X1 : $i,X2 : $i] : ((! [X3 : $i,X4 : $i] : ((X0 @ X3 @ X4) => (X0 @ (cS @ X3) @ (cS @ (cS @ X4)))) & (X0 @ c0 @ c0) & (cDOUBLE @ X1 @ X2)) => (X0 @ X1 @ X2))) => ! [X1 : $i,X2 : $i] : ((cDOUBLE @ X1 @ X2) => (cHALF @ X2 @ X1))),
% 5.78/1.18 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cDOUBLE_TO_HALF_6)).
% 5.78/1.18 thf(f2,negated_conjecture,(
% 5.78/1.18 ~((! [X3 : $i,X4 : $i] : ((cHALF @ X3 @ X4) => (cHALF @ (cS @ (cS @ X3)) @ (cS @ X4))) & (cHALF @ c0 @ (cS @ c0)) & (cHALF @ c0 @ c0) & ! [X0 : ($i > $i > $o),X1 : $i,X2 : $i] : ((! [X3 : $i,X4 : $i] : ((X0 @ X3 @ X4) => (X0 @ (cS @ X3) @ (cS @ (cS @ X4)))) & (X0 @ c0 @ c0) & (cDOUBLE @ X1 @ X2)) => (X0 @ X1 @ X2))) => ! [X1 : $i,X2 : $i] : ((cDOUBLE @ X1 @ X2) => (cHALF @ X2 @ X1)))),
% 5.78/1.18 inference(negated_conjecture,[status(cth)],[f1])).
% 5.78/1.18 thf(f3,plain,(
% 5.78/1.18 ~((! [X0 : $i,X1 : $i] : ((cHALF @ X0 @ X1) => (cHALF @ (cS @ (cS @ X0)) @ (cS @ X1))) & (cHALF @ c0 @ (cS @ c0)) & (cHALF @ c0 @ c0) & ! [X2 : ($i > $i > $o),X3 : $i,X4 : $i] : ((! [X5 : $i,X6 : $i] : ((X2 @ X5 @ X6) => (X2 @ (cS @ X5) @ (cS @ (cS @ X6)))) & (X2 @ c0 @ c0) & (cDOUBLE @ X3 @ X4)) => (X2 @ X3 @ X4))) => ! [X7 : $i,X8 : $i] : ((cDOUBLE @ X7 @ X8) => (cHALF @ X8 @ X7)))),
% 5.78/1.18 inference(rectify,[],[f2])).
% 5.78/1.18 thf(f4,plain,(
% 5.78/1.18 ~((! [X0 : $i,X1 : $i] : ((((cHALF @ X0 @ X1)) = $true) => (((cHALF @ (cS @ (cS @ X0)) @ (cS @ X1))) = $true)) & (((cHALF @ c0 @ (cS @ c0))) = $true) & (((cHALF @ c0 @ c0)) = $true) & ! [X2 : ($i > $i > $o),X3 : $i,X4 : $i] : ((! [X5 : $i,X6 : $i] : ((((X2 @ X5 @ X6)) = $true) => (((X2 @ (cS @ X5) @ (cS @ (cS @ X6)))) = $true)) & (((X2 @ c0 @ c0)) = $true) & (((cDOUBLE @ X3 @ X4)) = $true)) => (((X2 @ X3 @ X4)) = $true))) => ! [X7 : $i,X8 : $i] : ((((cDOUBLE @ X7 @ X8)) = $true) => (((cHALF @ X8 @ X7)) = $true)))),
% 5.78/1.18 inference(fool_elimination,[],[f3])).
% 5.78/1.18 thf(f5,plain,(
% 5.78/1.18 ? [X7 : $i,X8 : $i] : ((((cHALF @ X8 @ X7)) != $true) & (((cDOUBLE @ X7 @ X8)) = $true)) & (! [X0 : $i,X1 : $i] : ((((cHALF @ (cS @ (cS @ X0)) @ (cS @ X1))) = $true) | (((cHALF @ X0 @ X1)) != $true)) & (((cHALF @ c0 @ (cS @ c0))) = $true) & (((cHALF @ c0 @ c0)) = $true) & ! [X2 : ($i > $i > $o),X3 : $i,X4 : $i] : ((((X2 @ X3 @ X4)) = $true) | (? [X5 : $i,X6 : $i] : ((((X2 @ (cS @ X5) @ (cS @ (cS @ X6)))) != $true) & (((X2 @ X5 @ X6)) = $true)) | (((X2 @ c0 @ c0)) != $true) | (((cDOUBLE @ X3 @ X4)) != $true))))),
% 5.78/1.18 inference(ennf_transformation,[],[f4])).
% 5.78/1.18 thf(f6,plain,(
% 5.78/1.18 ? [X7 : $i,X8 : $i] : ((((cHALF @ X8 @ X7)) != $true) & (((cDOUBLE @ X7 @ X8)) = $true)) & ! [X0 : $i,X1 : $i] : ((((cHALF @ (cS @ (cS @ X0)) @ (cS @ X1))) = $true) | (((cHALF @ X0 @ X1)) != $true)) & (((cHALF @ c0 @ (cS @ c0))) = $true) & (((cHALF @ c0 @ c0)) = $true) & ! [X2 : ($i > $i > $o),X3 : $i,X4 : $i] : ((((X2 @ X3 @ X4)) = $true) | ? [X5 : $i,X6 : $i] : ((((X2 @ (cS @ X5) @ (cS @ (cS @ X6)))) != $true) & (((X2 @ X5 @ X6)) = $true)) | (((X2 @ c0 @ c0)) != $true) | (((cDOUBLE @ X3 @ X4)) != $true))),
% 5.78/1.18 inference(flattening,[],[f5])).
% 5.78/1.18 thf(f7,plain,(
% 5.78/1.18 ? [X0 : $i,X1 : $i] : (($true != ((cHALF @ X1 @ X0))) & ($true = ((cDOUBLE @ X0 @ X1)))) & ! [X2 : $i,X3 : $i] : (($true = ((cHALF @ (cS @ (cS @ X2)) @ (cS @ X3)))) | ($true != ((cHALF @ X2 @ X3)))) & (((cHALF @ c0 @ (cS @ c0))) = $true) & (((cHALF @ c0 @ c0)) = $true) & ! [X4 : ($i > $i > $o),X5 : $i,X6 : $i] : (($true = ((X4 @ X5 @ X6))) | ? [X7 : $i,X8 : $i] : (($true != ((X4 @ (cS @ X7) @ (cS @ (cS @ X8))))) & ($true = ((X4 @ X7 @ X8)))) | ($true != ((X4 @ c0 @ c0))) | ($true != ((cDOUBLE @ X5 @ X6))))),
% 5.78/1.18 inference(rectify,[],[f6])).
% 5.78/1.18 thf(f8,plain,(
% 5.78/1.18 (($true != ((cHALF @ sK1 @ sK0))) & ($true = ((cDOUBLE @ sK0 @ sK1)))) & ! [X2 : $i,X3 : $i] : (($true = ((cHALF @ (cS @ (cS @ X2)) @ (cS @ X3)))) | ($true != ((cHALF @ X2 @ X3)))) & (((cHALF @ c0 @ (cS @ c0))) = $true) & (((cHALF @ c0 @ c0)) = $true) & ! [X4 : ($i > $i > $o),X5 : $i,X6 : $i] : (($true = ((X4 @ X5 @ X6))) | (($true != ((X4 @ (cS @ (sK2 @ X4)) @ (cS @ (cS @ (sK3 @ X4)))))) & ($true = ((X4 @ (sK2 @ X4) @ (sK3 @ X4))))) | ($true != ((X4 @ c0 @ c0))) | ($true != ((cDOUBLE @ X5 @ X6))))),
% 5.78/1.18 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,vAPP,vAPP]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X8,sK3 @ X4),skolemize(X8,sK3 @ X4)],[f7])).
% 5.78/1.18 thf(f9,plain,(
% 5.78/1.18 ( ! [X6 : $i,X4 : ($i > $i > $o),X5 : $i] : (($true != ((X4 @ c0 @ c0))) | ($true = ((X4 @ (sK2 @ X4) @ (sK3 @ X4)))) | ($true = ((X4 @ X5 @ X6))) | ($true != ((cDOUBLE @ X5 @ X6)))) )),
% 5.78/1.18 inference(cnf_transformation,[],[f8])).
% 5.78/1.18 thf(f10,plain,(
% 5.78/1.18 ( ! [X6 : $i,X4 : ($i > $i > $o),X5 : $i] : (($true != ((X4 @ c0 @ c0))) | ($true != ((X4 @ (cS @ (sK2 @ X4)) @ (cS @ (cS @ (sK3 @ X4)))))) | ($true = ((X4 @ X5 @ X6))) | ($true != ((cDOUBLE @ X5 @ X6)))) )),
% 5.78/1.18 inference(cnf_transformation,[],[f8])).
% 5.78/1.18 thf(f11,plain,(
% 5.78/1.18 (((cHALF @ c0 @ c0)) = $true)),
% 5.78/1.18 inference(cnf_transformation,[],[f8])).
% 5.78/1.18 thf(f13,plain,(
% 5.78/1.18 ( ! [X2 : $i,X3 : $i] : (($true != ((cHALF @ X2 @ X3))) | ($true = ((cHALF @ (cS @ (cS @ X2)) @ (cS @ X3))))) )),
% 5.78/1.18 inference(cnf_transformation,[],[f8])).
% 5.78/1.18 thf(f14,plain,(
% 5.78/1.18 ($true = ((cDOUBLE @ sK0 @ sK1)))),
% 5.78/1.18 inference(cnf_transformation,[],[f8])).
% 5.78/1.18 thf(f15,plain,(
% 5.78/1.18 ($true != ((cHALF @ sK1 @ sK0)))),
% 5.78/1.18 inference(cnf_transformation,[],[f8])).
% 5.78/1.18 thf(f17,definition,(
% 5.78/1.18 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 5.78/1.18 introduced(theory,[fool_exhaustiveness_axiom])).
% 5.78/1.18 thf(f26,plain,(
% 5.78/1.18 ( ! [X0 : $i,X1 : $i] : (($true != $true) | (((cHALF @ (cS @ (cS @ X0)) @ (cS @ X1))) = $true) | (((cHALF @ X0 @ X1)) = $false)) )),
% 5.78/1.18 inference(constrained_superposition,[],[f13,f17])).
% 5.78/1.18 thf(f30,plain,(
% 5.78/1.18 ( ! [X0 : $i,X1 : $i] : ((((cHALF @ (cS @ (cS @ X0)) @ (cS @ X1))) = $true) | (((cHALF @ X0 @ X1)) = $false)) )),
% 5.78/1.18 inference(trivial_inequality_removal,[],[f26])).
% 5.78/1.18 thf(f44,plain,(
% 5.78/1.18 ( ! [X2 : $i,X0 : ($i > $i > $i),X1 : $i] : (($true != $true) | ($true = (((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1)))))) @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))))))) | ($true = (((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ X1 @ X2))) | (((cDOUBLE @ X1 @ X2)) != $true) | (c0 != ((X0 @ c0 @ c0)))) )),
% 5.78/1.18 inference(constrained_superposition,[],[f9,f11])).
% 5.78/1.18 thf(f70,plain,(
% 5.78/1.18 ( ! [X2 : $i,X0 : ($i > $i > $i),X1 : $i] : (($true = (((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1)))))) @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))))))) | ($true = (((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ X1 @ X2))) | (((cDOUBLE @ X1 @ X2)) != $true) | (c0 != ((X0 @ c0 @ c0)))) )),
% 5.78/1.18 inference(trivial_inequality_removal,[],[f44])).
% 5.78/1.18 thf(f71,plain,(
% 5.78/1.18 ( ! [X2 : $i,X0 : ($i > $i > $i),X1 : $i] : ((c0 != ((X0 @ c0 @ c0))) | ($true = ((cHALF @ (X0 @ X1 @ X2) @ X1))) | (((cDOUBLE @ X1 @ X2)) != $true) | ($true = ((cHALF @ (X0 @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ Y0))))) @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ Y0)))))) @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ Y0))))))))) )),
% 5.78/1.18 inference(beta-eta_normalization,[],[f70])).
% 5.78/1.18 thf(f102,plain,(
% 5.78/1.18 ( ! [X2 : $i,X0 : ($i > $i > $i),X1 : $i] : (($true != $true) | ($true != (((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ (cS @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))))) @ (cS @ (cS @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))))))))) | ($true = (((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ X1 @ X2))) | (((cDOUBLE @ X1 @ X2)) != $true) | (c0 != ((X0 @ c0 @ c0)))) )),
% 5.78/1.18 inference(constrained_superposition,[],[f10,f11])).
% 5.78/1.18 thf(f129,plain,(
% 5.78/1.18 ( ! [X2 : $i,X0 : ($i > $i > $i),X1 : $i] : (($true != (((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ (cS @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))))) @ (cS @ (cS @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))))))))) | ($true = (((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ X1 @ X2))) | (((cDOUBLE @ X1 @ X2)) != $true) | (c0 != ((X0 @ c0 @ c0)))) )),
% 5.78/1.18 inference(trivial_inequality_removal,[],[f102])).
% 5.78/1.18 thf(f130,plain,(
% 5.78/1.18 ( ! [X2 : $i,X0 : ($i > $i > $i),X1 : $i] : ((c0 != ((X0 @ c0 @ c0))) | ($true = ((cHALF @ (X0 @ X1 @ X2) @ X1))) | (((cDOUBLE @ X1 @ X2)) != $true) | ($true != ((cHALF @ (X0 @ (cS @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ Y0)))))) @ (cS @ (cS @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ Y0)))))))) @ (cS @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ Y0)))))))))) )),
% 5.78/1.18 inference(beta-eta_normalization,[],[f129])).
% 5.78/1.18 thf(f464,plain,(
% 5.78/1.18 ( ! [X0 : $i,X1 : $i] : (($true = ((cHALF @ ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) @ X0 @ X1) @ X0))) | ($true != ((cDOUBLE @ X0 @ X1))) | ($true = ((cHALF @ ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ Y0))))) @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ Y0)))))) @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ Y0))))))))) )),
% 5.78/1.18 inference(equality_resolution,[],[f71])).
% 5.78/1.18 thf(f467,plain,(
% 5.78/1.18 ( ! [X0 : $i,X1 : $i] : (($true = ((cHALF @ X1 @ X0))) | ($true != ((cDOUBLE @ X0 @ X1))) | ($true = ((cHALF @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))) @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))))))) )),
% 5.78/1.18 inference(beta-eta_normalization,[],[f464])).
% 5.78/1.18 thf(f482,plain,(
% 5.78/1.18 ( ! [X0 : $i,X1 : $i] : (($true = ((cHALF @ ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) @ X0 @ X1) @ X0))) | ($true != ((cDOUBLE @ X0 @ X1))) | ($true != ((cHALF @ ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) @ (cS @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ Y0)))))) @ (cS @ (cS @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ Y0)))))))) @ (cS @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ Y0)))))))))) )),
% 5.78/1.18 inference(equality_resolution,[],[f130])).
% 5.78/1.18 thf(f485,plain,(
% 5.78/1.18 ( ! [X0 : $i,X1 : $i] : (($true = ((cHALF @ X1 @ X0))) | ($true != ((cDOUBLE @ X0 @ X1))) | ($true != ((cHALF @ (cS @ (cS @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))))) @ (cS @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))))))))) )),
% 5.78/1.18 inference(beta-eta_normalization,[],[f482])).
% 5.78/1.18 thf(f1546,definition,(
% 5.78/1.18 spl4_21 <=> ($true = ((cHALF @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))) @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))))))),
% 5.78/1.18 introduced(definition,[new_symbols(definition,[spl4_21])],[avatar_definition])).
% 5.78/1.18 thf(f1548,plain,(
% 5.78/1.18 ($true = ((cHALF @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))) @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))))))) | ~spl4_21),
% 5.78/1.18 inference(avatar_component_clause,[],[f1546])).
% 5.78/1.18 thf(f1550,definition,(
% 5.78/1.18 spl4_22 <=> ! [X0 : $i,X1 : $i] : (($true = ((cHALF @ X1 @ X0))) | ($true != ((cDOUBLE @ X0 @ X1))))),
% 5.78/1.18 introduced(definition,[new_symbols(definition,[spl4_22])],[avatar_definition])).
% 5.78/1.18 thf(f1551,plain,(
% 5.78/1.18 ( ! [X0 : $i,X1 : $i] : (($true != ((cDOUBLE @ X0 @ X1))) | ($true = ((cHALF @ X1 @ X0)))) ) | ~spl4_22),
% 5.78/1.18 inference(avatar_component_clause,[],[f1550])).
% 5.78/1.18 thf(f1552,plain,(
% 5.78/1.18 spl4_21 | spl4_22),
% 5.78/1.18 inference(avatar_split_clause,[],[f467,f1550,f1546])).
% 5.78/1.18 thf(f2421,definition,(
% 5.78/1.18 spl4_26 <=> ($true = ((cHALF @ (cS @ (cS @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))))) @ (cS @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))))))))),
% 5.78/1.18 introduced(definition,[new_symbols(definition,[spl4_26])],[avatar_definition])).
% 5.78/1.18 thf(f2423,plain,(
% 5.78/1.18 ($true != ((cHALF @ (cS @ (cS @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))))) @ (cS @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))))))) | spl4_26),
% 5.78/1.18 inference(avatar_component_clause,[],[f2421])).
% 5.78/1.18 thf(f2424,plain,(
% 5.78/1.18 ~spl4_26 | spl4_22),
% 5.78/1.18 inference(avatar_split_clause,[],[f485,f1550,f2421])).
% 5.78/1.18 thf(f2728,plain,(
% 5.78/1.18 ($true != $true) | ($false = ((cHALF @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))) @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))))))) | spl4_26),
% 5.78/1.18 inference(constrained_superposition,[],[f2423,f30])).
% 5.78/1.18 thf(f2752,plain,(
% 5.78/1.18 ($false = ((cHALF @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))) @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))))))) | spl4_26),
% 5.78/1.18 inference(trivial_inequality_removal,[],[f2728])).
% 5.78/1.18 thf(f4392,plain,(
% 5.78/1.18 ($true = $false) | (~spl4_21 | spl4_26)),
% 5.78/1.18 inference(constrained_superposition,[],[f2752,f1548])).
% 5.78/1.18 thf(f4476,plain,(
% 5.78/1.18 $false | (~spl4_21 | spl4_26)),
% 5.78/1.18 inference(trivial_inequality_removal,[],[f4392])).
% 5.78/1.18 thf(f4477,plain,(
% 5.78/1.18 ~spl4_21 | spl4_26),
% 5.78/1.18 inference(avatar_contradiction_clause,[],[f4476])).
% 5.78/1.18 thf(f4479,plain,(
% 5.78/1.18 ($true != $true) | ($true = ((cHALF @ sK1 @ sK0))) | ~spl4_22),
% 5.78/1.18 inference(constrained_superposition,[],[f1551,f14])).
% 5.78/1.18 thf(f4504,plain,(
% 5.78/1.18 ($true = ((cHALF @ sK1 @ sK0))) | ~spl4_22),
% 5.78/1.18 inference(trivial_inequality_removal,[],[f4479])).
% 5.78/1.18 thf(f4505,plain,(
% 5.78/1.18 $false | ~spl4_22),
% 5.78/1.18 inference(forward_subsumption_resolution,[],[f4504,f15])).
% 5.78/1.18 thf(f4506,plain,(
% 5.78/1.18 ~spl4_22),
% 5.78/1.18 inference(avatar_contradiction_clause,[],[f4505])).
% 5.78/1.18 cnf(s14, plain, spl4_21 | spl4_22, inference(sat_conversion,[],[f1552])).
% 5.78/1.18 cnf(s17, plain, spl4_22 | ~spl4_26, inference(sat_conversion,[],[f2424])).
% 5.78/1.18 cnf(s20, plain, ~spl4_21 | spl4_26, inference(sat_conversion,[],[f4477])).
% 5.78/1.18 cnf(s21, plain, ~spl4_22, inference(sat_conversion,[],[f4506])).
% 5.78/1.18 cnf(s22, plain, ~spl4_26, inference(rat,[],[s17,s21])).
% 5.78/1.18 cnf(s23, plain, ~spl4_21, inference(rat,[],[s20,s22])).
% 5.78/1.18 cnf(s24, plain, $false, inference(rat,[],[s14,s21,s23])).
% 5.78/1.18 thf(f4507,plain,(
% 5.78/1.18 $false),
% 5.78/1.18 inference(avatar_sat_refutation,[],[s24])).
% 5.78/1.18 % SZS output end Proof for theBenchmark
% 5.78/1.18 % (603773)------------------------------
% 5.78/1.18 % (603773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.78/1.18 % (603773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.18 % (603773)CaDiCaL version: 2.1.3
% 5.78/1.18 % (603773)Termination reason: Refutation
% 5.78/1.18 % (603773)Time elapsed: 0.394 s
% 5.78/1.18 % (603773)Peak memory usage: 15 MB
% 5.78/1.18 % (603773)Instructions burned: 930 (million)
% 5.78/1.18 % (603719)Success in time 0.859 s
% 5.78/1.18 % Vampire exiting
%------------------------------------------------------------------------------