%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO535^1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 08:50:23 AM UTC 2026
% Result : Theorem 2.22s 0.58s
% Output : Refutation 2.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO535^1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n015.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Tue Sep 29 17:16:49 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.24 Running first-order model finding
% 0.08/0.24 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
% 2.22/0.58 % (3833356)Will run a generic schedule for satisfiability detection.
% 2.22/0.58 % (3833361)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2076536924_2999 on theBenchmark for (2999ds/0Mi)
% 2.22/0.58 % Exception at run slice level
% 2.22/0.58 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.22/0.58 % (3833362)% WARNING: option uhcvi not known.
% 2.22/0.58 % (3833362)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3187826474:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.22/0.58 % (3833363)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=707050571:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.22/0.58 % (3833364)dis+10_1_sil=32000:sp=arity:random_seed=1181804898:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.22/0.58 % (3833362)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.22/0.58 % (3833362)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 2.22/0.58 % (3833366)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1070151928:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.22/0.58 % (3833369)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=867752797:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.22/0.58 % Exception at run slice level
% 2.22/0.58 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.22/0.58 % (3833365)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=777717149:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.22/0.58 % (3833365)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.22/0.58 % (3833367)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3606209984:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.22/0.58 % (3833375)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=359507175:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.22/0.58 % (3833364)Instruction limit reached!
% 2.22/0.58 % (3833364)------------------------------
% 2.22/0.58 % (3833364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.58 % (3833364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.58 % (3833364)CaDiCaL version: 2.1.3
% 2.22/0.58 % (3833364)Termination reason: Instruction limit
% 2.22/0.58 % (3833364)Termination phase: Saturation
% 2.22/0.58 % (3833364)Time elapsed: 0.053 s
% 2.22/0.58 % (3833364)Peak memory usage: 12 MB
% 2.22/0.58 % (3833364)Instructions burned: 103 (million)
% 2.22/0.58 % (3833375)Instruction limit reached!
% 2.22/0.58 % (3833375)------------------------------
% 2.22/0.58 % (3833375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.58 % (3833375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.58 % (3833375)CaDiCaL version: 2.1.3
% 2.22/0.58 % (3833375)Termination reason: Instruction limit
% 2.22/0.58 % (3833375)Termination phase: Saturation
% 2.22/0.58 % (3833375)Time elapsed: 0.038 s
% 2.22/0.58 % (3833375)Peak memory usage: 13 MB
% 2.22/0.58 % (3833375)Instructions burned: 133 (million)
% 2.22/0.58 % (3833380)ott-21_1_sil=16000:fs=off:random_seed=2531785500:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 2.22/0.58 % (3833366)Instruction limit reached!
% 2.22/0.58 % (3833366)------------------------------
% 2.22/0.58 % (3833366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.58 % (3833366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.58 % (3833366)CaDiCaL version: 2.1.3
% 2.22/0.58 % (3833366)Termination reason: Instruction limit
% 2.22/0.58 % (3833366)Termination phase: Saturation
% 2.22/0.58 % (3833366)Time elapsed: 0.069 s
% 2.22/0.58 % (3833366)Peak memory usage: 13 MB
% 2.22/0.58 % (3833366)Instructions burned: 132 (million)
% 2.22/0.58 % (3833379)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=1988038383:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 2.22/0.58 % (3833379)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.22/0.58 % (3833379)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 2.22/0.58 % (3833383)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2851043312:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.22/0.58 % (3833365)Instruction limit reached!
% 2.22/0.58 % (3833365)------------------------------
% 2.22/0.58 % (3833365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.58 % (3833365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.58 % (3833365)CaDiCaL version: 2.1.3
% 2.22/0.58 % (3833365)Termination reason: Instruction limit
% 2.22/0.58 % (3833365)Termination phase: Saturation
% 2.22/0.58 % (3833365)Time elapsed: 0.100 s
% 2.22/0.58 % (3833365)Peak memory usage: 12 MB
% 2.22/0.58 % (3833365)Instructions burned: 116 (million)
% 2.22/0.58 % (3833380)Instruction limit reached!
% 2.22/0.58 % (3833380)------------------------------
% 2.22/0.58 % (3833380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.58 % (3833380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.58 % (3833380)CaDiCaL version: 2.1.3
% 2.22/0.58 % (3833380)Termination reason: Instruction limit
% 2.22/0.58 % (3833380)Termination phase: Saturation
% 2.22/0.58 % (3833380)Time elapsed: 0.058 s
% 2.22/0.58 % (3833380)Peak memory usage: 13 MB
% 2.22/0.58 % (3833380)Instructions burned: 180 (million)
% 2.22/0.58 % (3833385)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1308369541:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 2.22/0.58 % Exception at run slice level
% 2.22/0.58 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.22/0.58 % (3833388)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3890970220:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 2.22/0.58 % Exception at run slice level
% 2.22/0.58 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 2.22/0.58 % (3833387)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1350590353:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 2.22/0.58 % (3833390)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=694682620: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)
% 2.22/0.58 % (3833390)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.22/0.58 % (3833367)Instruction limit reached!
% 2.22/0.58 % (3833367)------------------------------
% 2.22/0.58 % (3833367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.58 % (3833367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.58 % (3833367)CaDiCaL version: 2.1.3
% 2.22/0.58 % (3833367)Termination reason: Instruction limit
% 2.22/0.58 % (3833367)Termination phase: Saturation
% 2.22/0.58 % (3833367)Time elapsed: 0.140 s
% 2.22/0.58 % (3833367)Peak memory usage: 13 MB
% 2.22/0.58 % (3833367)Instructions burned: 161 (million)
% 2.22/0.58 % (3833393)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=691736806:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 2.22/0.58 % (3833393)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 2.22/0.58 % (3833387) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3833356-3833387"...
% 2.22/0.58 % (3833387)...printing done.
% 2.22/0.58 % (3833387)Refutation found. Thanks to Tanya!
% 2.22/0.58 % SZS status Theorem for theBenchmark
% 2.22/0.58 % SZS output start Proof for theBenchmark
% 2.22/0.58 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 2.22/0.58 thf(func_def_0, type, eps: (($i > $o) > $i)).
% 2.22/0.58 thf(func_def_2, type, epsii: ((($i > $i) > $o) > $i > $i)).
% 2.22/0.58 thf(func_def_3, type, epsa: (($i > ($i > $i) > $o) > $i)).
% 2.22/0.58 thf(func_def_4, type, epsb: (($i > ($i > $i) > $o) > $i > $i)).
% 2.22/0.58 thf(func_def_7, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.22/0.58 thf(func_def_8, type, db2: !>[X0: $tType]:(X0)).
% 2.22/0.58 thf(func_def_9, type, db1: !>[X0: $tType]:(X0)).
% 2.22/0.58 thf(func_def_10, type, db0: !>[X0: $tType]:(X0)).
% 2.22/0.58 thf(func_def_11, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 2.22/0.58 thf(func_def_12, type, sK0: ($i > ($i > $i) > $o)).
% 2.22/0.58 thf(func_def_14, type, sK2: ($i > $i)).
% 2.22/0.58 thf(func_def_16, type, sF4: $o).
% 2.22/0.58 thf(func_def_17, type, sF5: $o).
% 2.22/0.58 thf(func_def_18, type, vNOT: ($o > $o)).
% 2.22/0.58 thf(func_def_20, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.22/0.58 thf(func_def_21, type, sK7: ($i > $i)).
% 2.22/0.58 thf(func_def_22, type, sK8: ($i > ($i > $i > $i) > $i)).
% 2.22/0.58 thf(func_def_23, type, sK9: ($i > $i)).
% 2.22/0.58 thf(func_def_24, type, sK10: (($i > $o) > $i)).
% 2.22/0.58 thf(func_def_25, type, sK11: (($i > $i > $i) > ($i > $i) > $i)).
% 2.22/0.58 thf(func_def_26, type, sK12: (($i > $o) > $i)).
% 2.22/0.58 thf(func_def_27, type, sK13: ((($i > $i) > $i > $i) > (($i > $i) > $i) > $i)).
% 2.22/0.58 thf(func_def_29, type, sK15: ($i > $i)).
% 2.22/0.58 thf(func_def_30, type, sK16: (($i > $i > $i) > ($i > $i) > $i)).
% 2.22/0.58 thf(func_def_31, type, sK17: ((($i > $i) > $i > $i) > ($i > $i) > $i)).
% 2.22/0.58 thf(func_def_32, type, sK18: ((($i > $i) > $i > $i) > (($i > $i) > $i) > $i)).
% 2.22/0.58 thf(func_def_33, type, sK19: ($i > $i)).
% 2.22/0.58 thf(func_def_34, type, sK20: ((($i > $i) > $i > $i) > (($i > $i) > $i) > $i)).
% 2.22/0.58 thf(func_def_35, type, sK21: ((($i > $i) > $i > $i) > ($i > $i) > $i)).
% 2.22/0.58 thf(f1,axiom,(
% 2.22/0.58 ! [X0 : ($i > $o)] : (? [X1 : $i] : (X0 @ X1) => (X0 @ (eps @ X0)))),
% 2.22/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',choiceax)).
% 2.22/0.58 thf(f2,axiom,(
% 2.22/0.58 ! [X0 : (($i > $i) > $o)] : (? [X1 : ($i > $i)] : (X0 @ X1) => (X0 @ (epsii @ X0)))),
% 2.22/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',choiceaxii)).
% 2.22/0.58 thf(f3,axiom,(
% 2.22/0.58 (epsa = (^[X0 : ($i > ($i > $i) > $o)] : ((eps @ (^[X1 : $i] : (? [X2 : ($i > $i)] : (X0 @ X1 @ X2)))))))),
% 2.22/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',epsad)).
% 2.22/0.58 thf(f4,axiom,(
% 2.22/0.58 (epsb = (^[X0 : ($i > ($i > $i) > $o)] : ((epsii @ (^[X1 : ($i > $i)] : ((X0 @ (epsa @ X0) @ X1)))))))),
% 2.22/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',epsbd)).
% 2.22/0.58 thf(f5,conjecture,(
% 2.22/0.58 ! [X0 : ($i > ($i > $i) > $o)] : (? [X1 : $i,X2 : ($i > $i)] : (X0 @ X1 @ X2) => (X0 @ (epsa @ X0) @ (epsb @ X0)))),
% 2.22/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 2.22/0.58 thf(f6,negated_conjecture,(
% 2.22/0.58 ~ ! [X0 : ($i > ($i > $i) > $o)] : (? [X1 : $i,X2 : ($i > $i)] : (X0 @ X1 @ X2) => (X0 @ (epsa @ X0) @ (epsb @ X0)))),
% 2.22/0.58 inference(negated_conjecture,[status(cth)],[f5])).
% 2.22/0.58 thf(f7,plain,(
% 2.22/0.58 ! [X0 : ($i > $o)] : (? [X1 : $i] : (X0 @ X1) => (X0 @ (eps @ X0)))),
% 2.22/0.58 inference(rectify,[],[f1])).
% 2.22/0.58 thf(f8,plain,(
% 2.22/0.58 ! [X0 : ($i > $o)] : (? [X1 : $i] : (((X0 @ X1)) = $true) => (((X0 @ (eps @ X0))) = $true))),
% 2.22/0.58 inference(fool_elimination,[],[f7])).
% 2.22/0.58 thf(f9,plain,(
% 2.22/0.58 ! [X0 : (($i > $i) > $o)] : (? [X1 : ($i > $i)] : (X0 @ X1) => (X0 @ (epsii @ X0)))),
% 2.22/0.58 inference(rectify,[],[f2])).
% 2.22/0.58 thf(f10,plain,(
% 2.22/0.58 ! [X0 : (($i > $i) > $o)] : (? [X1 : ($i > $i)] : (((X0 @ X1)) = $true) => (((X0 @ (epsii @ X0))) = $true))),
% 2.22/0.58 inference(fool_elimination,[],[f9])).
% 2.22/0.58 thf(f11,plain,(
% 2.22/0.58 (epsa = (^[X0 : ($i > ($i > $i) > $o)] : ((eps @ (^[X1 : $i] : (? [X2 : ($i > $i)] : (X0 @ X1 @ X2)))))))),
% 2.22/0.58 inference(rectify,[],[f3])).
% 2.22/0.58 thf(f12,plain,(
% 2.22/0.58 (epsa = (^[Y0 : $i > ($i > $i) > $o]: (eps @ (^[Y1 : $i]: (?? @ ($i > $i) @ (^[Y2 : $i > $i]: (Y0 @ Y1 @ Y2)))))))),
% 2.22/0.58 inference(fool_elimination,[],[f11])).
% 2.22/0.58 thf(f13,plain,(
% 2.22/0.58 (epsb = (^[X0 : ($i > ($i > $i) > $o)] : ((epsii @ (^[X1 : ($i > $i)] : ((X0 @ (epsa @ X0) @ X1)))))))),
% 2.22/0.58 inference(rectify,[],[f4])).
% 2.22/0.58 thf(f14,plain,(
% 2.22/0.58 (epsb = (^[Y0 : $i > ($i > $i) > $o]: (epsii @ (^[Y1 : $i > $i]: (Y0 @ (epsa @ Y0) @ Y1)))))),
% 2.22/0.58 inference(fool_elimination,[],[f13])).
% 2.22/0.58 thf(f15,plain,(
% 2.22/0.58 ~ ! [X0 : ($i > ($i > $i) > $o)] : (? [X1 : $i,X2 : ($i > $i)] : (X0 @ X1 @ X2) => (X0 @ (epsa @ X0) @ (epsb @ X0)))),
% 2.22/0.58 inference(rectify,[],[f6])).
% 2.22/0.58 thf(f16,plain,(
% 2.22/0.58 ~ ! [X0 : ($i > ($i > $i) > $o)] : (? [X1 : $i,X2 : ($i > $i)] : (((X0 @ X1 @ X2)) = $true) => (((X0 @ (epsa @ X0) @ (epsb @ X0))) = $true))),
% 2.22/0.58 inference(fool_elimination,[],[f15])).
% 2.22/0.58 thf(f17,plain,(
% 2.22/0.58 ! [X0 : ($i > $o)] : ((((X0 @ (eps @ X0))) = $true) | ! [X1 : $i] : (((X0 @ X1)) != $true))),
% 2.22/0.58 inference(ennf_transformation,[],[f8])).
% 2.22/0.58 thf(f18,plain,(
% 2.22/0.58 ! [X0 : (($i > $i) > $o)] : ((((X0 @ (epsii @ X0))) = $true) | ! [X1 : ($i > $i)] : (((X0 @ X1)) != $true))),
% 2.22/0.58 inference(ennf_transformation,[],[f10])).
% 2.22/0.58 thf(f19,plain,(
% 2.22/0.58 ? [X0 : ($i > ($i > $i) > $o)] : ((((X0 @ (epsa @ X0) @ (epsb @ X0))) != $true) & ? [X1 : $i,X2 : ($i > $i)] : (((X0 @ X1 @ X2)) = $true))),
% 2.22/0.58 inference(ennf_transformation,[],[f16])).
% 2.22/0.58 thf(f20,plain,(
% 2.22/0.58 ($true != ((sK0 @ (epsa @ sK0) @ (epsb @ sK0)))) & ($true = ((sK0 @ sK1 @ sK2)))),
% 2.22/0.58 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f19])).
% 2.22/0.58 thf(f21,plain,(
% 2.22/0.58 ( ! [X0 : ($i > $o),X1 : $i] : ((((X0 @ X1)) != $true) | (((X0 @ (eps @ X0))) = $true)) )),
% 2.22/0.58 inference(cnf_transformation,[],[f17])).
% 2.22/0.58 thf(f22,plain,(
% 2.22/0.58 ( ! [X0 : (($i > $i) > $o),X1 : ($i > $i)] : ((((X0 @ X1)) != $true) | (((X0 @ (epsii @ X0))) = $true)) )),
% 2.22/0.58 inference(cnf_transformation,[],[f18])).
% 2.22/0.58 thf(f23,plain,(
% 2.22/0.58 (epsa = (^[Y0 : $i > ($i > $i) > $o]: (eps @ (^[Y1 : $i]: (?? @ ($i > $i) @ (^[Y2 : $i > $i]: (Y0 @ Y1 @ Y2)))))))),
% 2.22/0.58 inference(cnf_transformation,[],[f12])).
% 2.22/0.58 thf(f24,plain,(
% 2.22/0.58 (epsb = (^[Y0 : $i > ($i > $i) > $o]: (epsii @ (^[Y1 : $i > $i]: (Y0 @ (epsa @ Y0) @ Y1)))))),
% 2.22/0.58 inference(cnf_transformation,[],[f14])).
% 2.22/0.58 thf(f25,plain,(
% 2.22/0.58 ($true = ((sK0 @ sK1 @ sK2)))),
% 2.22/0.58 inference(cnf_transformation,[],[f20])).
% 2.22/0.58 thf(f26,plain,(
% 2.22/0.58 ($true != ((sK0 @ (epsa @ sK0) @ (epsb @ sK0))))),
% 2.22/0.58 inference(cnf_transformation,[],[f20])).
% 2.22/0.58 thf(f28,definition,(
% 2.22/0.58 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 2.22/0.58 introduced(theory,[fool_exhaustiveness_axiom])).
% 2.22/0.58 thf(f29,plain,(
% 2.22/0.58 (epsb = (^[Y0 : $i > ($i > $i) > $o]: (epsii @ (^[Y1 : $i > $i]: (Y0 @ ((^[Y2 : $i > ($i > $i) > $o]: (eps @ (^[Y3 : $i]: (?? @ ($i > $i) @ (^[Y4 : $i > $i]: (Y2 @ Y3 @ Y4)))))) @ Y0) @ Y1)))))),
% 2.22/0.58 inference(definition_unfolding,[],[f24,f23])).
% 2.22/0.58 thf(f30,plain,(
% 2.22/0.58 ($true != ((sK0 @ ((^[Y0 : $i > ($i > $i) > $o]: (eps @ (^[Y1 : $i]: (?? @ ($i > $i) @ (^[Y2 : $i > $i]: (Y0 @ Y1 @ Y2)))))) @ sK0) @ ((^[Y0 : $i > ($i > $i) > $o]: (epsii @ (^[Y1 : $i > $i]: (Y0 @ ((^[Y2 : $i > ($i > $i) > $o]: (eps @ (^[Y3 : $i]: (?? @ ($i > $i) @ (^[Y4 : $i > $i]: (Y2 @ Y3 @ Y4)))))) @ Y0) @ Y1)))) @ sK0))))),
% 2.22/0.58 inference(definition_unfolding,[],[f26,f23,f29])).
% 2.22/0.58 thf(f31,definition,(
% 2.22/0.58 (sF3 = (((^[Y0 : $i > ($i > $i) > $o]: (eps @ (^[Y1 : $i]: (?? @ ($i > $i) @ (^[Y2 : $i > $i]: (Y0 @ Y1 @ Y2)))))) @ sK0)))),
% 2.22/0.58 introduced(definition,[new_symbols(definition,[sF3])],[function_definition])).
% 2.22/0.58 thf(f32,plain,(
% 2.22/0.58 ((((^[Y0 : $i > ($i > $i) > $o]: (eps @ (^[Y1 : $i]: (?? @ ($i > $i) @ (^[Y2 : $i > $i]: (Y0 @ Y1 @ Y2)))))) @ sK0)) = sF3)),
% 2.22/0.58 inference(reorient_equations,[],[f31])).
% 2.22/0.58 thf(f33,definition,(
% 2.22/0.58 (sF4 = ((sK0 @ sF3 @ ((^[Y0 : $i > ($i > $i) > $o]: (epsii @ (^[Y1 : $i > $i]: (Y0 @ ((^[Y2 : $i > ($i > $i) > $o]: (eps @ (^[Y3 : $i]: (?? @ ($i > $i) @ (^[Y4 : $i > $i]: (Y2 @ Y3 @ Y4)))))) @ Y0) @ Y1)))) @ sK0))))),
% 2.22/0.58 introduced(definition,[new_symbols(definition,[sF4])],[function_definition])).
% 2.22/0.58 thf(f34,plain,(
% 2.22/0.58 (((sK0 @ sF3 @ ((^[Y0 : $i > ($i > $i) > $o]: (epsii @ (^[Y1 : $i > $i]: (Y0 @ ((^[Y2 : $i > ($i > $i) > $o]: (eps @ (^[Y3 : $i]: (?? @ ($i > $i) @ (^[Y4 : $i > $i]: (Y2 @ Y3 @ Y4)))))) @ Y0) @ Y1)))) @ sK0))) = sF4)),
% 2.22/0.58 inference(reorient_equations,[],[f33])).
% 2.22/0.58 thf(f35,plain,(
% 2.22/0.58 ($true != sF4)),
% 2.22/0.58 inference(definition_folding,[],[f30,f34,f32])).
% 2.22/0.58 thf(f36,definition,(
% 2.22/0.58 (sF5 = ((sK0 @ sK1 @ sK2)))),
% 2.22/0.58 introduced(definition,[new_symbols(definition,[sF5])],[function_definition])).
% 2.22/0.58 thf(f37,plain,(
% 2.22/0.58 (((sK0 @ sK1 @ sK2)) = sF5)),
% 2.22/0.58 inference(reorient_equations,[],[f36])).
% 2.22/0.58 thf(f38,plain,(
% 2.22/0.58 ($true = sF5)),
% 2.22/0.58 inference(definition_folding,[],[f25,f37])).
% 2.22/0.58 thf(f39,plain,(
% 2.22/0.58 (sF3 = ((eps @ (^[Y0 : $i]: (?? @ ($i > $i) @ (sK0 @ Y0))))))),
% 2.22/0.58 inference(beta-eta_normalization,[],[f32])).
% 2.22/0.58 thf(f41,plain,(
% 2.22/0.58 ($false = ((sK0 @ sF3 @ ((^[Y0 : $i > ($i > $i) > $o]: (epsii @ (^[Y1 : $i > $i]: (Y0 @ ((^[Y2 : $i > ($i > $i) > $o]: (eps @ (^[Y3 : $i]: (?? @ ($i > $i) @ (^[Y4 : $i > $i]: (Y2 @ Y3 @ Y4)))))) @ Y0) @ Y1)))) @ sK0)))) | ($true = sF4)),
% 2.22/0.58 inference(iff_proxy_clausification,[],[f34])).
% 2.22/0.58 thf(f42,plain,(
% 2.22/0.58 ($false = ((sK0 @ sF3 @ (epsii @ (sK0 @ (eps @ (^[Y0 : $i]: (?? @ ($i > $i) @ (sK0 @ Y0))))))))) | ($true = sF4)),
% 2.22/0.58 inference(beta-eta_normalization,[],[f41])).
% 2.22/0.58 thf(f44,plain,(
% 2.22/0.58 ($true = ((sK0 @ sK1 @ sK2))) | ($false = sF5)),
% 2.22/0.58 inference(iff_proxy_clausification,[],[f37])).
% 2.22/0.58 thf(f46,plain,(
% 2.22/0.58 ($false = ((sK0 @ sF3 @ (epsii @ (sK0 @ (eps @ (^[Y0 : $i]: (?? @ ($i > $i) @ (sK0 @ Y0)))))))))),
% 2.22/0.58 inference(forward_subsumption_resolution,[],[f42,f35])).
% 2.22/0.58 thf(f48,plain,(
% 2.22/0.58 ($true = $false) | ($true = ((sK0 @ sK1 @ sK2)))),
% 2.22/0.58 inference(forward_demodulation,[],[f44,f38])).
% 2.22/0.58 thf(f49,plain,(
% 2.22/0.58 ($true = ((sK0 @ sK1 @ sK2)))),
% 2.22/0.58 inference(trivial_inequality_removal,[],[f48])).
% 2.22/0.58 thf(f50,plain,(
% 2.22/0.58 ($false = ((sK0 @ sF3 @ (epsii @ (sK0 @ sF3)))))),
% 2.22/0.58 inference(forward_demodulation,[],[f46,f39])).
% 2.22/0.58 thf(f82,plain,(
% 2.22/0.58 ( ! [X0 : ($i > $o),X1 : $i] : (($true != $true) | (((X0 @ (eps @ X0))) = $true) | (((X0 @ X1)) = $false)) )),
% 2.22/0.58 inference(constrained_superposition,[],[f21,f28])).
% 2.22/0.58 thf(f84,plain,(
% 2.22/0.58 ( ! [X2 : ($i > $i > $i),X0 : ($i > $i),X1 : $i] : (($true != $true) | ($true = (((^[Y0 : $i]: (sK0 @ (X0 @ Y0) @ ((^[Y1 : $i]: ((^[Y2 : $i]: (sK2 @ (X2 @ Y1 @ Y2))))) @ Y0))) @ (eps @ (^[Y0 : $i]: (sK0 @ (X0 @ Y0) @ ((^[Y1 : $i]: ((^[Y2 : $i]: (sK2 @ (X2 @ Y1 @ Y2))))) @ Y0))))))) | (((X2 @ X1)) != (^[Y0 : $i]: (Y0))) | (sK1 != ((X0 @ X1)))) )),
% 2.22/0.58 inference(constrained_superposition,[],[f21,f49])).
% 2.22/0.58 thf(f98,plain,(
% 2.22/0.58 ( ! [X2 : ($i > $i > $i),X0 : ($i > $i),X1 : $i] : (($true = (((^[Y0 : $i]: (sK0 @ (X0 @ Y0) @ ((^[Y1 : $i]: ((^[Y2 : $i]: (sK2 @ (X2 @ Y1 @ Y2))))) @ Y0))) @ (eps @ (^[Y0 : $i]: (sK0 @ (X0 @ Y0) @ ((^[Y1 : $i]: ((^[Y2 : $i]: (sK2 @ (X2 @ Y1 @ Y2))))) @ Y0))))))) | (((X2 @ X1)) != (^[Y0 : $i]: (Y0))) | (sK1 != ((X0 @ X1)))) )),
% 2.22/0.58 inference(trivial_inequality_removal,[],[f84])).
% 2.22/0.58 thf(f99,plain,(
% 2.22/0.58 ( ! [X2 : ($i > $i > $i),X0 : ($i > $i),X1 : $i] : ((((X2 @ X1)) != (^[Y0 : $i]: (Y0))) | ($true = ((sK0 @ (X0 @ (eps @ (^[Y0 : $i]: (sK0 @ (X0 @ Y0) @ (^[Y1 : $i]: (sK2 @ (X2 @ Y0 @ Y1))))))) @ (^[Y0 : $i]: (sK2 @ (X2 @ (eps @ (^[Y1 : $i]: (sK0 @ (X0 @ Y1) @ (^[Y2 : $i]: (sK2 @ (X2 @ Y1 @ Y2)))))) @ Y0)))))) | (sK1 != ((X0 @ X1)))) )),
% 2.22/0.58 inference(beta-eta_normalization,[],[f98])).
% 2.22/0.58 thf(f102,plain,(
% 2.22/0.58 ( ! [X0 : ($i > $o),X1 : $i] : ((((X0 @ (eps @ X0))) = $true) | (((X0 @ X1)) = $false)) )),
% 2.22/0.58 inference(trivial_inequality_removal,[],[f82])).
% 2.22/0.58 thf(f114,plain,(
% 2.22/0.58 ( ! [X0 : (($i > $i) > $o),X1 : ($i > $i)] : (($true != $true) | (((X0 @ (epsii @ X0))) = $true) | (((X0 @ X1)) = $false)) )),
% 2.22/0.58 inference(constrained_superposition,[],[f22,f28])).
% 2.22/0.58 thf(f134,plain,(
% 2.22/0.58 ( ! [X0 : (($i > $i) > $o),X1 : ($i > $i)] : ((((X0 @ (epsii @ X0))) = $true) | (((X0 @ X1)) = $false)) )),
% 2.22/0.58 inference(trivial_inequality_removal,[],[f114])).
% 2.22/0.58 thf(f141,plain,(
% 2.22/0.58 ( ! [X0 : ($i > $i),X1 : $i] : (($true = ((sK0 @ (X0 @ (eps @ (^[Y0 : $i]: (sK0 @ (X0 @ Y0) @ (^[Y1 : $i]: (sK2 @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1))))))) @ (^[Y0 : $i]: (sK2 @ ((^[Y1 : $i]: ((^[Y2 : $i]: (Y2)))) @ (eps @ (^[Y1 : $i]: (sK0 @ (X0 @ Y1) @ (^[Y2 : $i]: (sK2 @ ((^[Y3 : $i]: ((^[Y4 : $i]: (Y4)))) @ Y1 @ Y2)))))) @ Y0)))))) | (sK1 != ((X0 @ X1)))) )),
% 2.22/0.58 inference(equality_resolution,[],[f99])).
% 2.22/0.58 thf(f142,plain,(
% 2.22/0.58 ( ! [X0 : ($i > $i),X1 : $i] : ((sK1 != ((X0 @ X1))) | ($true = ((sK0 @ (X0 @ (eps @ (^[Y0 : $i]: (sK0 @ (X0 @ Y0) @ sK2)))) @ sK2)))) )),
% 2.22/0.58 inference(beta-eta_normalization,[],[f141])).
% 2.22/0.58 thf(f148,plain,(
% 2.22/0.58 ($true = ((sK0 @ ((^[Y0 : $i]: (Y0)) @ (eps @ (^[Y0 : $i]: (sK0 @ ((^[Y1 : $i]: (Y1)) @ Y0) @ sK2)))) @ sK2)))),
% 2.22/0.58 inference(equality_resolution,[],[f142])).
% 2.22/0.58 thf(f151,plain,(
% 2.22/0.58 ($true = ((sK0 @ (eps @ (^[Y0 : $i]: (sK0 @ Y0 @ sK2))) @ sK2)))),
% 2.22/0.58 inference(beta-eta_normalization,[],[f148])).
% 2.22/0.58 thf(f171,plain,(
% 2.22/0.58 ( ! [X0 : $i] : (($true = (((^[Y0 : $i]: (?? @ ($i > $i) @ (sK0 @ Y0))) @ sF3))) | ($false = (((^[Y0 : $i]: (?? @ ($i > $i) @ (sK0 @ Y0))) @ X0)))) )),
% 2.22/0.58 inference(constrained_superposition,[],[f102,f39])).
% 2.22/0.58 thf(f260,plain,(
% 2.22/0.58 ( ! [X0 : $i] : (($true = ((?? @ ($i > $i) @ (sK0 @ sF3)))) | ($false = ((?? @ ($i > $i) @ (sK0 @ X0))))) )),
% 2.22/0.58 inference(beta-eta_normalization,[],[f171])).
% 2.22/0.58 thf(f261,plain,(
% 2.22/0.58 ( ! [X0 : $i] : (($true = ((sK0 @ sF3 @ sK9))) | ($false = ((?? @ ($i > $i) @ (sK0 @ X0))))) )),
% 2.22/0.58 inference(sigma_proxy_clausification,[],[f260])).
% 2.22/0.58 thf(f262,plain,(
% 2.22/0.58 ( ! [X0 : $i,X1 : ($i > $i)] : (($true = ((sK0 @ sF3 @ sK9))) | ($false = ((sK0 @ X0 @ X1)))) )),
% 2.22/0.58 inference(pi_proxy_clausification,[],[f261])).
% 2.22/0.58 thf(f276,definition,(
% 2.22/0.58 spl6_5 <=> ! [X0 : $i,X1 : ($i > $i)] : ($false = ((sK0 @ X0 @ X1)))),
% 2.22/0.58 introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition])).
% 2.22/0.58 thf(f277,plain,(
% 2.22/0.58 ( ! [X0 : $i,X1 : ($i > $i)] : (($false = ((sK0 @ X0 @ X1)))) ) | ~spl6_5),
% 2.22/0.58 inference(avatar_component_clause,[],[f276])).
% 2.22/0.58 thf(f279,definition,(
% 2.22/0.58 spl6_6 <=> ($true = ((sK0 @ sF3 @ sK9)))),
% 2.22/0.58 introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition])).
% 2.22/0.58 thf(f281,plain,(
% 2.22/0.58 ($true = ((sK0 @ sF3 @ sK9))) | ~spl6_6),
% 2.22/0.58 inference(avatar_component_clause,[],[f279])).
% 2.22/0.58 thf(f282,plain,(
% 2.22/0.58 spl6_5 | spl6_6),
% 2.22/0.58 inference(avatar_split_clause,[],[f262,f279,f276])).
% 2.22/0.58 thf(f359,plain,(
% 2.22/0.58 ( ! [X2 : ($i > $i),X0 : (($i > $i) > $i),X1 : (($i > $i) > $i > $i)] : (($true = $false) | ($false = (((^[Y0 : $i > $i]: (sK0 @ (X0 @ Y0) @ ((^[Y1 : $i > $i]: ((^[Y2 : $i]: (Y1 @ (X1 @ Y1 @ Y2))))) @ Y0))) @ X2))) | ((^[Y0 : $i]: ((^[Y1 : $i > $i]: ((^[Y2 : $i]: (Y2)))))) != (^[Y0 : $i]: (X1))) | ((^[Y0 : $i]: ((^[Y1 : $i > $i]: (sF3)))) != (^[Y0 : $i]: (X0))) | ((^[Y0 : $i]: (Y0)) != ((X1 @ (epsii @ (^[Y0 : $i > $i]: (sK0 @ (X0 @ Y0) @ (^[Y1 : $i]: (Y0 @ (X1 @ Y0 @ Y1))))))))) | (sF3 != ((X0 @ (epsii @ (^[Y0 : $i > $i]: (sK0 @ (X0 @ Y0) @ (^[Y1 : $i]: (Y0 @ (X1 @ Y0 @ Y1)))))))))) )),
% 2.22/0.58 inference(constrained_superposition,[],[f50,f134])).
% 2.22/0.58 thf(f428,plain,(
% 2.22/0.58 ( ! [X2 : ($i > $i),X0 : (($i > $i) > $i),X1 : (($i > $i) > $i > $i)] : (($false = (((^[Y0 : $i > $i]: (sK0 @ (X0 @ Y0) @ ((^[Y1 : $i > $i]: ((^[Y2 : $i]: (Y1 @ (X1 @ Y1 @ Y2))))) @ Y0))) @ X2))) | ((^[Y0 : $i]: ((^[Y1 : $i > $i]: ((^[Y2 : $i]: (Y2)))))) != (^[Y0 : $i]: (X1))) | ((^[Y0 : $i]: ((^[Y1 : $i > $i]: (sF3)))) != (^[Y0 : $i]: (X0))) | ((^[Y0 : $i]: (Y0)) != ((X1 @ (epsii @ (^[Y0 : $i > $i]: (sK0 @ (X0 @ Y0) @ (^[Y1 : $i]: (Y0 @ (X1 @ Y0 @ Y1))))))))) | (sF3 != ((X0 @ (epsii @ (^[Y0 : $i > $i]: (sK0 @ (X0 @ Y0) @ (^[Y1 : $i]: (Y0 @ (X1 @ Y0 @ Y1)))))))))) )),
% 2.22/0.58 inference(trivial_inequality_removal,[],[f359])).
% 2.22/0.58 thf(f429,plain,(
% 2.22/0.58 ( ! [X2 : ($i > $i),X0 : (($i > $i) > $i),X1 : (($i > $i) > $i > $i)] : (((^[Y0 : $i]: (Y0)) != ((X1 @ (epsii @ (^[Y0 : $i > $i]: (sK0 @ (X0 @ Y0) @ (^[Y1 : $i]: (Y0 @ (X1 @ Y0 @ Y1))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i > $i]: ((^[Y2 : $i]: (Y2)))))) != (^[Y0 : $i]: (X1))) | ((^[Y0 : $i]: ((^[Y1 : $i > $i]: (sF3)))) != (^[Y0 : $i]: (X0))) | ($false = ((sK0 @ (X0 @ X2) @ (^[Y0 : $i]: (X2 @ (X1 @ X2 @ Y0)))))) | (sF3 != ((X0 @ (epsii @ (^[Y0 : $i > $i]: (sK0 @ (X0 @ Y0) @ (^[Y1 : $i]: (Y0 @ (X1 @ Y0 @ Y1)))))))))) )),
% 2.22/0.58 inference(beta-eta_normalization,[],[f428])).
% 2.22/0.58 thf(f888,plain,(
% 2.22/0.58 ($true = $false) | ~spl6_5),
% 2.22/0.58 inference(constrained_superposition,[],[f277,f151])).
% 2.22/0.58 thf(f926,plain,(
% 2.22/0.58 $false | ~spl6_5),
% 2.22/0.58 inference(trivial_inequality_removal,[],[f888])).
% 2.22/0.58 thf(f927,plain,(
% 2.22/0.58 ~spl6_5),
% 2.22/0.58 inference(avatar_contradiction_clause,[],[f926])).
% 2.22/0.58 thf(f1275,plain,(
% 2.22/0.58 ( ! [X0 : (($i > $i) > $i),X1 : ($i > $i)] : (((^[Y0 : $i]: ((^[Y1 : $i > $i]: ((^[Y2 : $i]: (Y2)))))) != (^[Y0 : $i]: ((^[Y1 : $i > $i]: ((^[Y2 : $i]: (Y2))))))) | ((^[Y0 : $i]: ((^[Y1 : $i > $i]: (sF3)))) != (^[Y0 : $i]: (X0))) | ($false = ((sK0 @ (X0 @ X1) @ (^[Y0 : $i]: (X1 @ ((^[Y1 : $i > $i]: ((^[Y2 : $i]: (Y2)))) @ X1 @ Y0)))))) | (sF3 != ((X0 @ (epsii @ (^[Y0 : $i > $i]: (sK0 @ (X0 @ Y0) @ (^[Y1 : $i]: (Y0 @ ((^[Y2 : $i > $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1)))))))))) )),
% 2.22/0.58 inference(equality_resolution,[],[f429])).
% 2.22/0.58 thf(f1276,plain,(
% 2.22/0.58 ( ! [X0 : (($i > $i) > $i),X1 : ($i > $i)] : (((^[Y0 : $i]: ((^[Y1 : $i > $i]: (sF3)))) != (^[Y0 : $i]: (X0))) | ($false = ((sK0 @ (X0 @ X1) @ (^[Y0 : $i]: (X1 @ ((^[Y1 : $i > $i]: ((^[Y2 : $i]: (Y2)))) @ X1 @ Y0)))))) | (sF3 != ((X0 @ (epsii @ (^[Y0 : $i > $i]: (sK0 @ (X0 @ Y0) @ (^[Y1 : $i]: (Y0 @ ((^[Y2 : $i > $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1)))))))))) )),
% 2.22/0.58 inference(trivial_inequality_removal,[],[f1275])).
% 2.22/0.58 thf(f1277,plain,(
% 2.22/0.58 ( ! [X0 : (($i > $i) > $i),X1 : ($i > $i)] : ((sF3 != ((X0 @ (epsii @ (^[Y0 : $i > $i]: (sK0 @ (X0 @ Y0) @ Y0)))))) | ($false = ((sK0 @ (X0 @ X1) @ X1))) | ((^[Y0 : $i]: ((^[Y1 : $i > $i]: (sF3)))) != (^[Y0 : $i]: (X0)))) )),
% 2.22/0.58 inference(beta-eta_normalization,[],[f1276])).
% 2.22/0.58 thf(f1283,plain,(
% 2.22/0.58 ( ! [X0 : ($i > $i)] : (($false = ((sK0 @ ((^[Y0 : $i > $i]: (sF3)) @ X0) @ X0))) | ((^[Y0 : $i]: ((^[Y1 : $i > $i]: (sF3)))) != (^[Y0 : $i]: ((^[Y1 : $i > $i]: (sF3)))))) )),
% 2.22/0.58 inference(equality_resolution,[],[f1277])).
% 2.22/0.58 thf(f1284,plain,(
% 2.22/0.58 ( ! [X0 : ($i > $i)] : (($false = ((sK0 @ ((^[Y0 : $i > $i]: (sF3)) @ X0) @ X0)))) )),
% 2.22/0.58 inference(trivial_inequality_removal,[],[f1283])).
% 2.22/0.58 thf(f1285,plain,(
% 2.22/0.58 ( ! [X0 : ($i > $i)] : (($false = ((sK0 @ sF3 @ X0)))) )),
% 2.22/0.58 inference(beta-eta_normalization,[],[f1284])).
% 2.22/0.58 thf(f1306,plain,(
% 2.22/0.58 ($true = $false) | ~spl6_6),
% 2.22/0.58 inference(constrained_superposition,[],[f1285,f281])).
% 2.22/0.58 thf(f1357,plain,(
% 2.22/0.58 $false | ~spl6_6),
% 2.22/0.58 inference(trivial_inequality_removal,[],[f1306])).
% 2.22/0.58 thf(f1358,plain,(
% 2.22/0.58 ~spl6_6),
% 2.22/0.58 inference(avatar_contradiction_clause,[],[f1357])).
% 2.22/0.58 cnf(s4, plain, spl6_5 | spl6_6, inference(sat_conversion,[],[f282])).
% 2.22/0.58 cnf(s10, plain, ~spl6_5, inference(sat_conversion,[],[f927])).
% 2.22/0.58 cnf(s15, plain, ~spl6_6, inference(sat_conversion,[],[f1358])).
% 2.22/0.58 cnf(s17, plain, $false, inference(rat,[],[s4,s15,s10])).
% 2.22/0.58 thf(f1360,plain,(
% 2.22/0.58 $false),
% 2.22/0.58 inference(avatar_sat_refutation,[],[s17])).
% 2.22/0.58 % SZS output end Proof for theBenchmark
% 2.22/0.58 % (3833387)------------------------------
% 2.22/0.58 % (3833387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.58 % (3833387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.58 % (3833387)CaDiCaL version: 2.1.3
% 2.22/0.58 % (3833387)Termination reason: Refutation
% 2.22/0.58 % (3833387)Time elapsed: 0.135 s
% 2.22/0.58 % (3833387)Peak memory usage: 13 MB
% 2.22/0.58 % (3833387)Instructions burned: 156 (million)
% 2.22/0.58 % (3833356)Success in time 0.326 s
% 2.22/0.58 % Vampire exiting
%------------------------------------------------------------------------------