%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN116-10 : TPTP v9.3.1. Released v7.5.0.
% 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 : Tue Sep 29 02:06:48 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.36s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 51 ( 51 unt; 0 def)
% Number of atoms : 51 ( 50 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 4 con; 0-4 aty)
% Number of variables : 61 ( 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f37,axiom,
! [X0,X1] : m0(X0,d,X1) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
fof(f38,plain,
! [X0,X1] : true = m0(X0,d,X1),
inference(reorient_equations,[],[f37]) ).
fof(f39,axiom,
l0(a) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
fof(f40,plain,
true = l0(a),
inference(reorient_equations,[],[f39]) ).
fof(f73,axiom,
n0(b,a) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_37) ).
fof(f74,plain,
true = n0(b,a),
inference(reorient_equations,[],[f73]) ).
fof(f79,axiom,
! [X0,X1] : ifeq(n0(X0,X1),true,l1(X1,X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_002) ).
fof(f80,plain,
! [X0,X1] : true = ifeq(n0(X0,X1),true,l1(X1,X1),true),
inference(reorient_equations,[],[f79]) ).
fof(f247,axiom,
ifeq(l0(a),true,p1(a,a,a),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_088) ).
fof(f248,plain,
true = ifeq(l0(a),true,p1(a,a,a),true),
inference(reorient_equations,[],[f247]) ).
fof(f291,axiom,
! [X2,X0,X1] : ifeq(m0(X0,X1,X2),true,q1(X2,X2,X2),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_110) ).
fof(f292,plain,
! [X2,X0,X1] : true = ifeq(m0(X0,X1,X2),true,q1(X2,X2,X2),true),
inference(reorient_equations,[],[f291]) ).
fof(f343,axiom,
! [X2,X0,X1] : ifeq(p1(X0,X1,X2),true,n2(X2),true) = true,
file('/export/starexec/sandbox/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(f377,axiom,
! [X0] : ifeq(q1(X0,X0,X0),true,p2(X0,X0,X0),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_154) ).
fof(f378,plain,
! [X0] : true = ifeq(q1(X0,X0,X0),true,p2(X0,X0,X0),true),
inference(reorient_equations,[],[f377]) ).
fof(f553,axiom,
! [X0] : ifeq(n2(X0),true,p3(X0,X0,X0),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_244) ).
fof(f554,plain,
! [X0] : true = ifeq(n2(X0),true,p3(X0,X0,X0),true),
inference(reorient_equations,[],[f553]) ).
fof(f599,axiom,
! [X2,X0,X1] : ifeq(p2(X0,X1,X2),true,r3(X0,X2,X0),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_267) ).
fof(f600,plain,
! [X2,X0,X1] : true = ifeq(p2(X0,X1,X2),true,r3(X0,X2,X0),true),
inference(reorient_equations,[],[f599]) ).
fof(f659,axiom,
! [X2,X3,X0,X1] : ifeq(p3(X0,X1,X2),true,ifeq(l1(X3,X1),true,s4(X3),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_299) ).
fof(f660,plain,
! [X2,X3,X0,X1] : true = ifeq(p3(X0,X1,X2),true,ifeq(l1(X3,X1),true,s4(X3),true),true),
inference(reorient_equations,[],[f659]) ).
fof(f661,axiom,
! [X2,X0,X1] : ifeq(s4(X0),true,ifeq(r3(X1,X2,X2),true,k5(X2),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_300) ).
fof(f662,plain,
! [X2,X0,X1] : true = ifeq(s4(X0),true,ifeq(r3(X1,X2,X2),true,k5(X2),true),true),
inference(reorient_equations,[],[f661]) ).
fof(f723,negated_conjecture,
k5(b) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f724,plain,
true != k5(b),
inference(reorient_equations,[],[f723]) ).
fof(f768,plain,
true = ifeq(true,true,l1(a,a),true),
inference(superposition,[],[f80,f74]) ).
fof(f771,plain,
true = l1(a,a),
inference(forward_demodulation,[],[f768,f1]) ).
fof(f820,plain,
true = ifeq(true,true,p1(a,a,a),true),
inference(forward_demodulation,[],[f248,f40]) ).
fof(f821,plain,
true = p1(a,a,a),
inference(forward_demodulation,[],[f820,f1]) ).
fof(f846,plain,
true = ifeq(true,true,n2(a),true),
inference(superposition,[],[f344,f821]) ).
fof(f847,plain,
true = n2(a),
inference(forward_demodulation,[],[f846,f1]) ).
fof(f927,plain,
true = ifeq(true,true,p3(a,a,a),true),
inference(superposition,[],[f554,f847]) ).
fof(f932,plain,
true = p3(a,a,a),
inference(forward_demodulation,[],[f927,f1]) ).
fof(f1469,plain,
! [X1] : true = ifeq(true,true,q1(X1,X1,X1),true),
inference(superposition,[],[f292,f38]) ).
fof(f1494,plain,
! [X1] : true = q1(X1,X1,X1),
inference(forward_demodulation,[],[f1469,f1]) ).
fof(f1556,plain,
! [X0] : true = ifeq(true,true,p2(X0,X0,X0),true),
inference(forward_demodulation,[],[f378,f1494]) ).
fof(f1557,plain,
! [X0] : true = p2(X0,X0,X0),
inference(forward_demodulation,[],[f1556,f1]) ).
fof(f1676,plain,
! [X0] : true = ifeq(true,true,r3(X0,X0,X0),true),
inference(superposition,[],[f600,f1557]) ).
fof(f1691,plain,
! [X0] : true = r3(X0,X0,X0),
inference(forward_demodulation,[],[f1676,f1]) ).
fof(f2271,plain,
! [X0,X1] : true = ifeq(s4(X0),true,ifeq(true,true,k5(X1),true),true),
inference(superposition,[],[f662,f1691]) ).
fof(f2272,plain,
! [X0,X1] : true = ifeq(s4(X0),true,k5(X1),true),
inference(forward_demodulation,[],[f2271,f1]) ).
fof(f2902,plain,
! [X0] : true = ifeq(true,true,ifeq(l1(X0,a),true,s4(X0),true),true),
inference(superposition,[],[f660,f932]) ).
fof(f2917,plain,
! [X0] : true = ifeq(l1(X0,a),true,s4(X0),true),
inference(forward_demodulation,[],[f2902,f1]) ).
fof(f2921,plain,
true = ifeq(true,true,s4(a),true),
inference(superposition,[],[f2917,f771]) ).
fof(f2923,plain,
true = s4(a),
inference(forward_demodulation,[],[f2921,f1]) ).
fof(f2935,plain,
! [X0] : true = ifeq(true,true,k5(X0),true),
inference(superposition,[],[f2272,f2923]) ).
fof(f2937,plain,
! [X0] : true = k5(X0),
inference(forward_demodulation,[],[f2935,f1]) ).
fof(f2947,plain,
true != true,
inference(superposition,[],[f724,f2937]) ).
fof(f2950,plain,
$false,
inference(trivial_inequality_removal,[],[f2947]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN116-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n006.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 15:34:25 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.20/0.36 % (4058525)Will run a generic schedule for satisfiability detection.
% 0.20/0.36 % (4058534)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1345129532:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.36 % (4058531)% WARNING: option uhcvi not known.
% 0.20/0.36 % (4058531)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2179664566:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.36 % (4058532)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1970823469:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.36 % (4058530)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2683520328_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.36 % (4058533)dis+10_1_sil=32000:sp=arity:random_seed=1551960864:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.36 % (4058536)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1603230109:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.36 % (4058535)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=205730493:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.36 % (4058534)Instruction limit reached!
% 0.20/0.36 % (4058534)------------------------------
% 0.20/0.36 % (4058534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (4058534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (4058534)CaDiCaL version: 2.1.3
% 0.20/0.36 % (4058534)Termination reason: Instruction limit
% 0.20/0.36 % (4058534)Termination phase: Saturation
% 0.20/0.36 % (4058534)Time elapsed: 0.035 s
% 0.20/0.36 % (4058534)Peak memory usage: 13 MB
% 0.20/0.36 % (4058534)Instructions burned: 119 (million)
% 0.20/0.36 % (4058544)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4082715900:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.36 % (4058533)Instruction limit reached!
% 0.20/0.36 % (4058533)------------------------------
% 0.20/0.36 % (4058533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (4058533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (4058533)CaDiCaL version: 2.1.3
% 0.20/0.36 % (4058533)Termination reason: Instruction limit
% 0.20/0.36 % (4058533)Termination phase: Saturation
% 0.20/0.36 % (4058533)Time elapsed: 0.061 s
% 0.20/0.36 % (4058533)Peak memory usage: 12 MB
% 0.20/0.36 % (4058533)Instructions burned: 104 (million)
% 0.20/0.36 % (4058532) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4058525-4058532"...
% 0.20/0.36 % (4058532)...printing done.
% 0.20/0.36 % (4058532)Refutation found. Thanks to Tanya!
% 0.20/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.36 % (4058532)------------------------------
% 0.20/0.36 % (4058532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (4058532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (4058532)CaDiCaL version: 2.1.3
% 0.20/0.36 % (4058532)Termination reason: Refutation
% 0.20/0.36 % (4058532)Time elapsed: 0.077 s
% 0.20/0.36 % (4058532)Peak memory usage: 13 MB
% 0.20/0.36 % (4058532)Instructions burned: 138 (million)
% 0.20/0.36 % (4058525)Success in time 0.128 s
% 0.20/0.36 % Vampire exiting
%------------------------------------------------------------------------------