%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN214-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 : Tue Sep 29 02:07:02 PM UTC 2026
% Result : Unsatisfiable 1.04s 0.46s
% Output : Refutation 1.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 18
% Syntax : Number of formulae : 69 ( 69 unt; 0 def)
% Number of atoms : 69 ( 68 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 5 con; 0-4 aty)
% Number of variables : 103 ( 103 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f27,axiom,
! [X0] : p0(b,X0) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(f28,plain,
! [X0] : true = p0(b,X0),
inference(reorient_equations,[],[f27]) ).
fof(f29,axiom,
n0(a,b) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
fof(f30,plain,
true = n0(a,b),
inference(reorient_equations,[],[f29]) ).
fof(f35,axiom,
p0(c,b) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(f36,plain,
true = p0(c,b),
inference(reorient_equations,[],[f35]) ).
fof(f37,axiom,
! [X0,X1] : m0(X0,d,X1) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f38,plain,
! [X0,X1] : true = m0(X0,d,X1),
inference(reorient_equations,[],[f37]) ).
fof(f63,axiom,
k0(b) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_32) ).
fof(f64,plain,
true = k0(b),
inference(reorient_equations,[],[f63]) ).
fof(f87,axiom,
! [X0,X1] : ifeq(m0(X0,X0,X1),true,m1(X1,X1,X1),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_006) ).
fof(f88,plain,
! [X0,X1] : true = ifeq(m0(X0,X0,X1),true,m1(X1,X1,X1),true),
inference(reorient_equations,[],[f87]) ).
fof(f241,axiom,
! [X0,X1] : ifeq(p0(X0,X1),true,p1(X1,X1,X1),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_085) ).
fof(f242,plain,
! [X0,X1] : true = ifeq(p0(X0,X1),true,p1(X1,X1,X1),true),
inference(reorient_equations,[],[f241]) ).
fof(f343,axiom,
! [X2,X0,X1] : ifeq(p1(X0,X1,X2),true,n2(X2),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_137) ).
fof(f344,plain,
! [X2,X0,X1] : true = ifeq(p1(X0,X1,X2),true,n2(X2),true),
inference(reorient_equations,[],[f343]) ).
fof(f369,axiom,
! [X0,X1] : ifeq(m1(X0,X0,X1),true,p2(X1,X1,X1),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_150) ).
fof(f370,plain,
! [X0,X1] : true = ifeq(m1(X0,X0,X1),true,p2(X1,X1,X1),true),
inference(reorient_equations,[],[f369]) ).
fof(f423,axiom,
! [X0,X1] : ifeq(p1(X0,X0,X0),true,ifeq(k0(X1),true,q2(X0,X1,X1),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_177) ).
fof(f424,plain,
! [X0,X1] : true = ifeq(p1(X0,X0,X0),true,ifeq(k0(X1),true,q2(X0,X1,X1),true),true),
inference(reorient_equations,[],[f423]) ).
fof(f545,axiom,
! [X2,X0,X1] : ifeq(p2(X0,X1,X2),true,n3(X2),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_240) ).
fof(f546,plain,
! [X2,X0,X1] : true = ifeq(p2(X0,X1,X2),true,n3(X2),true),
inference(reorient_equations,[],[f545]) ).
fof(f553,axiom,
! [X0] : ifeq(n2(X0),true,p3(X0,X0,X0),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_244) ).
fof(f554,plain,
! [X0] : true = ifeq(n2(X0),true,p3(X0,X0,X0),true),
inference(reorient_equations,[],[f553]) ).
fof(f575,axiom,
! [X2,X0,X1] : ifeq(q2(X0,X1,X2),true,ifeq(n0(X0,X1),true,q3(X1,X2),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_255) ).
fof(f576,plain,
! [X2,X0,X1] : true = ifeq(q2(X0,X1,X2),true,ifeq(n0(X0,X1),true,q3(X1,X2),true),true),
inference(reorient_equations,[],[f575]) ).
fof(f617,axiom,
! [X2,X0,X1] : ifeq(p3(X0,X1,X2),true,l4(X2),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_277) ).
fof(f618,plain,
! [X2,X0,X1] : true = ifeq(p3(X0,X1,X2),true,l4(X2),true),
inference(reorient_equations,[],[f617]) ).
fof(f657,axiom,
! [X2,X3,X0,X1] : ifeq(q3(X0,X1),true,ifeq(n3(X2),true,ifeq(p0(X3,X2),true,r4(X2),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_298) ).
fof(f658,plain,
! [X2,X3,X0,X1] : true = ifeq(q3(X0,X1),true,ifeq(n3(X2),true,ifeq(p0(X3,X2),true,r4(X2),true),true),true),
inference(reorient_equations,[],[f657]) ).
fof(f719,axiom,
! [X0,X1] : ifeq(r4(X0),true,ifeq(l4(X1),true,s5(X1),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_329) ).
fof(f720,plain,
! [X0,X1] : true = ifeq(r4(X0),true,ifeq(l4(X1),true,s5(X1),true),true),
inference(reorient_equations,[],[f719]) ).
fof(f723,negated_conjecture,
s5(c) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f724,plain,
true != s5(c),
inference(reorient_equations,[],[f723]) ).
fof(f1125,plain,
! [X0] : true = ifeq(true,true,p1(X0,X0,X0),true),
inference(superposition,[],[f242,f28]) ).
fof(f1134,plain,
! [X0] : true = p1(X0,X0,X0),
inference(forward_demodulation,[],[f1125,f1]) ).
fof(f1141,plain,
! [X0] : true = ifeq(true,true,n2(X0),true),
inference(superposition,[],[f344,f1134]) ).
fof(f1147,plain,
! [X0] : true = n2(X0),
inference(forward_demodulation,[],[f1141,f1]) ).
fof(f1148,plain,
! [X0] : true = ifeq(true,true,p3(X0,X0,X0),true),
inference(superposition,[],[f554,f1147]) ).
fof(f1154,plain,
! [X0] : true = p3(X0,X0,X0),
inference(forward_demodulation,[],[f1148,f1]) ).
fof(f1163,plain,
! [X0] : true = ifeq(true,true,l4(X0),true),
inference(superposition,[],[f618,f1154]) ).
fof(f1169,plain,
! [X0] : true = l4(X0),
inference(forward_demodulation,[],[f1163,f1]) ).
fof(f1403,plain,
! [X0] : true = ifeq(true,true,m1(X0,X0,X0),true),
inference(superposition,[],[f88,f38]) ).
fof(f1414,plain,
! [X0] : true = m1(X0,X0,X0),
inference(forward_demodulation,[],[f1403,f1]) ).
fof(f1534,plain,
! [X0] : true = ifeq(true,true,p2(X0,X0,X0),true),
inference(superposition,[],[f370,f1414]) ).
fof(f1550,plain,
! [X0] : true = p2(X0,X0,X0),
inference(forward_demodulation,[],[f1534,f1]) ).
fof(f1556,plain,
! [X0] : true = ifeq(true,true,n3(X0),true),
inference(superposition,[],[f546,f1550]) ).
fof(f1563,plain,
! [X0] : true = n3(X0),
inference(forward_demodulation,[],[f1556,f1]) ).
fof(f1752,plain,
! [X0,X1] : true = ifeq(r4(X0),true,ifeq(true,true,s5(X1),true),true),
inference(forward_demodulation,[],[f720,f1169]) ).
fof(f1753,plain,
! [X0,X1] : true = ifeq(r4(X0),true,s5(X1),true),
inference(forward_demodulation,[],[f1752,f1]) ).
fof(f4525,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(k0(X1),true,q2(X0,X1,X1),true),true),
inference(forward_demodulation,[],[f424,f1134]) ).
fof(f4526,plain,
! [X0,X1] : true = ifeq(k0(X1),true,q2(X0,X1,X1),true),
inference(forward_demodulation,[],[f4525,f1]) ).
fof(f4528,plain,
! [X0] : true = ifeq(true,true,q2(X0,b,b),true),
inference(superposition,[],[f4526,f64]) ).
fof(f4535,plain,
! [X0] : true = q2(X0,b,b),
inference(forward_demodulation,[],[f4528,f1]) ).
fof(f4709,plain,
! [X0] : true = ifeq(true,true,ifeq(n0(X0,b),true,q3(b,b),true),true),
inference(superposition,[],[f576,f4535]) ).
fof(f4738,plain,
! [X0] : true = ifeq(n0(X0,b),true,q3(b,b),true),
inference(forward_demodulation,[],[f4709,f1]) ).
fof(f4752,plain,
true = ifeq(true,true,q3(b,b),true),
inference(superposition,[],[f4738,f30]) ).
fof(f4754,plain,
true = q3(b,b),
inference(forward_demodulation,[],[f4752,f1]) ).
fof(f7323,plain,
! [X2,X3,X0,X1] : true = ifeq(q3(X0,X1),true,ifeq(true,true,ifeq(p0(X3,X2),true,r4(X2),true),true),true),
inference(forward_demodulation,[],[f658,f1563]) ).
fof(f7324,plain,
! [X2,X3,X0,X1] : true = ifeq(q3(X0,X1),true,ifeq(p0(X3,X2),true,r4(X2),true),true),
inference(forward_demodulation,[],[f7323,f1]) ).
fof(f7329,plain,
! [X0,X1] : true = ifeq(q3(X0,X1),true,ifeq(true,true,r4(b),true),true),
inference(superposition,[],[f7324,f36]) ).
fof(f7330,plain,
! [X0,X1] : true = ifeq(q3(X0,X1),true,r4(b),true),
inference(forward_demodulation,[],[f7329,f1]) ).
fof(f7336,plain,
true = ifeq(true,true,r4(b),true),
inference(superposition,[],[f7330,f4754]) ).
fof(f7337,plain,
true = r4(b),
inference(forward_demodulation,[],[f7336,f1]) ).
fof(f7341,plain,
! [X0] : true = ifeq(true,true,s5(X0),true),
inference(superposition,[],[f1753,f7337]) ).
fof(f7344,plain,
! [X0] : true = s5(X0),
inference(forward_demodulation,[],[f7341,f1]) ).
fof(f7346,plain,
true != true,
inference(superposition,[],[f724,f7344]) ).
fof(f7348,plain,
$false,
inference(trivial_inequality_removal,[],[f7346]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN214-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17 % Computer : n007.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 15:36:10 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 1.04/0.46 % (2501054)Will run a generic schedule for satisfiability detection.
% 1.04/0.46 % (2501080)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1453472474:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.04/0.46 % (2501077)% WARNING: option uhcvi not known.
% 1.04/0.46 % (2501076)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=702712789_2999 on theBenchmark for (2999ds/0Mi)
% 1.04/0.46 % (2501078)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2141577436:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.04/0.46 % (2501079)dis+10_1_sil=32000:sp=arity:random_seed=3647690090:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.04/0.46 % (2501082)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2577363955:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.04/0.46 % (2501077)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1251992215:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.04/0.46 % (2501081)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3245767228:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.04/0.46 % (2501080)Instruction limit reached!
% 1.04/0.46 % (2501080)------------------------------
% 1.04/0.46 % (2501080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.46 % (2501080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.46 % (2501080)CaDiCaL version: 2.1.3
% 1.04/0.46 % (2501080)Termination reason: Instruction limit
% 1.04/0.46 % (2501080)Termination phase: Saturation
% 1.04/0.46 % (2501080)Time elapsed: 0.035 s
% 1.04/0.46 % (2501080)Peak memory usage: 13 MB
% 1.04/0.46 % (2501080)Instructions burned: 116 (million)
% 1.04/0.46 % (2501097)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3064768489:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.04/0.46 % (2501079)Instruction limit reached!
% 1.04/0.46 % (2501079)------------------------------
% 1.04/0.46 % (2501079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.46 % (2501079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.46 % (2501079)CaDiCaL version: 2.1.3
% 1.04/0.46 % (2501079)Termination reason: Instruction limit
% 1.04/0.46 % (2501079)Termination phase: Saturation
% 1.04/0.46 % (2501079)Time elapsed: 0.058 s
% 1.04/0.46 % (2501079)Peak memory usage: 12 MB
% 1.04/0.46 % (2501079)Instructions burned: 104 (million)
% 1.04/0.46 % (2501108)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1563002792:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.04/0.46 % (2501082)Instruction limit reached!
% 1.04/0.46 % (2501082)------------------------------
% 1.04/0.46 % (2501082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.46 % (2501082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.46 % (2501082)CaDiCaL version: 2.1.3
% 1.04/0.46 % (2501082)Termination reason: Instruction limit
% 1.04/0.46 % (2501082)Termination phase: Saturation
% 1.04/0.46 % (2501082)Time elapsed: 0.094 s
% 1.04/0.46 % (2501082)Peak memory usage: 12 MB
% 1.04/0.46 % (2501082)Instructions burned: 161 (million)
% 1.04/0.46 % TRYING [1]
% 1.04/0.46 % TRYING [2]
% 1.04/0.46 % (2501081)Instruction limit reached!
% 1.04/0.46 % (2501081)------------------------------
% 1.04/0.46 % (2501081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.46 % (2501081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.46 % (2501081)CaDiCaL version: 2.1.3
% 1.04/0.46 % (2501081)Termination reason: Instruction limit
% 1.04/0.46 % (2501081)Termination phase: Saturation
% 1.04/0.46 % (2501081)Time elapsed: 0.095 s
% 1.04/0.46 % (2501081)Peak memory usage: 14 MB
% 1.04/0.46 % (2501081)Instructions burned: 132 (million)
% 1.04/0.46 % TRYING [1]
% 1.04/0.46 % TRYING [2]
% 1.04/0.46 % (2501114)ott-21_1_sil=16000:fs=off:random_seed=3673440126:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.04/0.46 % (2501113)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=2911476725:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.04/0.46 % TRYING [3]
% 1.04/0.46 % (2501108)Instruction limit reached!
% 1.04/0.46 % (2501108)------------------------------
% 1.04/0.46 % (2501108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.46 % (2501108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.46 % (2501108)CaDiCaL version: 2.1.3
% 1.04/0.46 % (2501108)Termination reason: Instruction limit
% 1.04/0.46 % (2501108)Termination phase: Saturation
% 1.04/0.46 % (2501108)Time elapsed: 0.090 s
% 1.04/0.46 % (2501108)Peak memory usage: 13 MB
% 1.04/0.46 % (2501108)Instructions burned: 131 (million)
% 1.04/0.46 % (2501078) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2501054-2501078"...
% 1.04/0.46 % (2501078)...printing done.
% 1.04/0.46 % (2501078)Refutation found. Thanks to Tanya!
% 1.04/0.46 % SZS status Unsatisfiable for theBenchmark
% 1.04/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 1.04/0.46 % (2501078)------------------------------
% 1.04/0.46 % (2501078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.46 % (2501078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.46 % (2501078)CaDiCaL version: 2.1.3
% 1.04/0.46 % (2501078)Termination reason: Refutation
% 1.04/0.46 % (2501078)Time elapsed: 0.187 s
% 1.04/0.46 % (2501078)Peak memory usage: 15 MB
% 1.04/0.46 % (2501078)Instructions burned: 335 (million)
% 1.04/0.46 % (2501054)Success in time 0.242 s
% 1.04/0.46 % Vampire exiting
%------------------------------------------------------------------------------