%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP658-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 : Tue Sep 29 10:18:27 AM UTC 2026
% Result : Unsatisfiable 0.15s 5.78s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 46 ( 46 unt; 4 def)
% Number of atoms : 46 ( 45 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 0 con; 1-2 aty)
% Number of variables : 99 ( 99 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X2,X0,X1] : mult(mult(X0,mult(X1,X1)),X2) = mult(mult(X0,X1),mult(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f6,negated_conjecture,
! [X0] : tuple(mult(X0,x1(X0)),mult(x1_2(X0),X0)) != tuple(x1(X0),x1_2(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f7,definition,
! [X0] : sF0(X0) = mult(X0,x1(X0)),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f8,plain,
! [X0] : mult(X0,x1(X0)) = sF0(X0),
inference(reorient_equations,[],[f7]) ).
fof(f9,definition,
! [X0] : sF1(X0) = mult(x1_2(X0),X0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f10,plain,
! [X0] : mult(x1_2(X0),X0) = sF1(X0),
inference(reorient_equations,[],[f9]) ).
fof(f11,definition,
! [X0] : sF2(X0) = tuple(sF0(X0),sF1(X0)),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f12,plain,
! [X0] : tuple(sF0(X0),sF1(X0)) = sF2(X0),
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
! [X0] : sF3(X0) = tuple(x1(X0),x1_2(X0)),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f14,plain,
! [X0] : tuple(x1(X0),x1_2(X0)) = sF3(X0),
inference(reorient_equations,[],[f13]) ).
fof(f15,plain,
! [X0] : sF2(X0) != sF3(X0),
inference(definition_folding,[],[f6,f14,f12,f10,f8]) ).
fof(f16,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(superposition,[],[f2,f3]) ).
fof(f17,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f19,plain,
! [X0] : x1(X0) = ld(X0,sF0(X0)),
inference(superposition,[],[f2,f8]) ).
fof(f21,plain,
! [X0] : x1_2(X0) = rd(sF1(X0),X0),
inference(superposition,[],[f4,f10]) ).
fof(f29,plain,
! [X2,X0,X1] : mult(mult(rd(X0,mult(X1,X1)),X1),mult(X1,X2)) = mult(X0,X2),
inference(superposition,[],[f5,f3]) ).
fof(f33,plain,
! [X2,X0,X1] : mult(X0,mult(X1,X1)) = rd(mult(mult(X0,X1),mult(X1,X2)),X2),
inference(superposition,[],[f4,f5]) ).
fof(f35,plain,
! [X2,X0,X1] : mult(mult(X0,X1),mult(X1,ld(mult(X0,mult(X1,X1)),X2))) = X2,
inference(superposition,[],[f1,f5]) ).
fof(f42,plain,
! [X0] : sF3(X0) = tuple(ld(X0,sF0(X0)),x1_2(X0)),
inference(superposition,[],[f14,f19]) ).
fof(f44,plain,
! [X0] : sF3(X0) = tuple(ld(X0,sF0(X0)),rd(sF1(X0),X0)),
inference(forward_demodulation,[],[f42,f21]) ).
fof(f53,plain,
! [X2,X0,X1] : mult(X1,ld(X2,X0)) = mult(mult(rd(X1,mult(X2,X2)),X2),X0),
inference(superposition,[],[f29,f1]) ).
fof(f57,plain,
! [X2,X0,X1] : mult(X1,X2) = mult(mult(rd(X1,mult(rd(X0,X2),rd(X0,X2))),rd(X0,X2)),X0),
inference(superposition,[],[f29,f3]) ).
fof(f72,plain,
! [X2,X0,X1] : mult(rd(X0,X1),mult(X1,X1)) = rd(mult(X0,mult(X1,X2)),X2),
inference(superposition,[],[f33,f3]) ).
fof(f150,plain,
! [X2,X0,X1] : mult(X2,ld(mult(X1,mult(X2,X2)),X0)) = ld(mult(X1,X2),X0),
inference(superposition,[],[f2,f35]) ).
fof(f1089,plain,
! [X2,X3,X0,X1] : mult(X1,ld(rd(mult(X0,mult(X1,X2)),X2),X3)) = ld(mult(rd(X0,X1),X1),X3),
inference(superposition,[],[f150,f72]) ).
fof(f1159,plain,
! [X2,X3,X0,X1] : ld(X0,X3) = mult(X1,ld(rd(mult(X0,mult(X1,X2)),X2),X3)),
inference(forward_demodulation,[],[f1089,f3]) ).
fof(f1275,plain,
! [X2,X3,X0,X1] : mult(mult(X0,X1),mult(X2,ld(mult(mult(rd(X0,mult(rd(X2,X1),rd(X2,X1))),rd(X2,X1)),mult(X2,X2)),X3))) = X3,
inference(superposition,[],[f35,f57]) ).
fof(f1288,plain,
! [X2,X3,X0,X1] : mult(X2,ld(mult(X0,X1),X3)) = ld(mult(mult(rd(X0,mult(rd(mult(X2,X2),X1),rd(mult(X2,X2),X1))),rd(mult(X2,X2),X1)),X2),X3),
inference(superposition,[],[f150,f57]) ).
fof(f1295,plain,
! [X2,X3,X0,X1] : mult(X2,ld(mult(X0,X1),X3)) = ld(mult(X0,ld(rd(mult(X2,X2),X1),X2)),X3),
inference(forward_demodulation,[],[f1288,f53]) ).
fof(f1307,plain,
! [X2,X3,X0,X1] : mult(mult(X0,X1),ld(mult(mult(rd(X0,mult(rd(X2,X1),rd(X2,X1))),rd(X2,X1)),X2),X3)) = X3,
inference(forward_demodulation,[],[f1275,f150]) ).
fof(f1332,plain,
! [X2,X3,X0,X1] : mult(mult(X0,X1),ld(mult(X0,ld(rd(X2,X1),X2)),X3)) = X3,
inference(forward_demodulation,[],[f1307,f53]) ).
fof(f1348,plain,
! [X2,X3,X0,X1] : ld(mult(X0,ld(rd(mult(mult(X0,X1),mult(X0,X1)),ld(rd(X2,X1),X2)),mult(X0,X1))),X3) = X3,
inference(forward_demodulation,[],[f1332,f1295]) ).
fof(f1357,plain,
! [X3,X0,X1] : ld(mult(X0,ld(rd(mult(mult(X0,X1),mult(X0,X1)),X1),mult(X0,X1))),X3) = X3,
inference(forward_demodulation,[],[f1348,f16]) ).
fof(f1360,plain,
! [X3,X0,X1] : ld(ld(mult(X0,X1),mult(X0,X1)),X3) = X3,
inference(forward_demodulation,[],[f1357,f1159]) ).
fof(f1372,plain,
! [X2,X0] : ld(ld(X0,X0),X2) = X2,
inference(superposition,[],[f1360,f3]) ).
fof(f1610,plain,
! [X0,X1] : ld(X1,X1) = rd(X0,X0),
inference(superposition,[],[f17,f1372]) ).
fof(f1796,plain,
! [X0,X1] : rd(X1,rd(X0,X0)) = X1,
inference(superposition,[],[f17,f1610]) ).
fof(f1803,plain,
! [X3,X0] : ld(rd(X0,X0),X3) = X3,
inference(superposition,[],[f1360,f1610]) ).
fof(f3178,plain,
! [X0] : sF3(rd(X0,X0)) = tuple(ld(rd(X0,X0),sF0(rd(X0,X0))),sF1(rd(X0,X0))),
inference(superposition,[],[f44,f1796]) ).
fof(f3202,plain,
! [X0] : sF3(rd(X0,X0)) = tuple(sF0(rd(X0,X0)),sF1(rd(X0,X0))),
inference(forward_demodulation,[],[f3178,f1803]) ).
fof(f3209,plain,
! [X0] : sF3(rd(X0,X0)) = sF2(rd(X0,X0)),
inference(forward_demodulation,[],[f3202,f12]) ).
fof(f3212,plain,
$false,
inference(forward_subsumption_resolution,[],[f3209,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP658-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/5.39 % Computer : n016.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Sun Sep 27 10:37:38 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/5.42 Running first-order model finding
% 0.15/5.42 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
% 0.15/5.78 % (2427727)Will run a generic schedule for satisfiability detection.
% 0.15/5.78 % (2427736)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1134828713:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/5.78 % (2427733)% WARNING: option uhcvi not known.
% 0.15/5.78 % (2427732)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3793348974_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/5.78 % (2427733)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=300832863:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/5.78 % (2427734)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1196994205:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/5.78 % (2427735)dis+10_1_sil=32000:sp=arity:random_seed=661890874:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/5.78 % (2427737)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1242143082:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/5.78 % (2427738)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2741908268:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/5.78 % TRYING [1]
% 0.15/5.78 % TRYING [2]
% 0.15/5.78 % TRYING [3]
% 0.15/5.78 % TRYING [4]
% 0.15/5.78 % TRYING [5]
% 0.15/5.78 % (2427736)Instruction limit reached!
% 0.15/5.78 % (2427736)------------------------------
% 0.15/5.78 % (2427736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/5.78 % (2427736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/5.78 % (2427736)CaDiCaL version: 2.1.3
% 0.15/5.78 % (2427736)Termination reason: Instruction limit
% 0.15/5.78 % (2427736)Termination phase: Saturation
% 0.15/5.78 % (2427736)Time elapsed: 0.034 s
% 0.15/5.78 % (2427736)Peak memory usage: 12 MB
% 0.15/5.78 % (2427736)Instructions burned: 119 (million)
% 0.15/5.78 % (2427746)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2772917520:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.15/5.78 % TRYING [1]
% 0.15/5.78 % TRYING [2]
% 0.15/5.78 % TRYING [3]
% 0.15/5.78 % TRYING [4]
% 0.15/5.78 % TRYING [5]
% 0.15/5.78 % TRYING [6]
% 0.15/5.78 % (2427735)Instruction limit reached!
% 0.15/5.78 % (2427735)------------------------------
% 0.15/5.78 % (2427735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/5.78 % (2427735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/5.78 % (2427735)CaDiCaL version: 2.1.3
% 0.15/5.78 % (2427735)Termination reason: Instruction limit
% 0.15/5.78 % (2427735)Termination phase: Saturation
% 0.15/5.78 % (2427735)Time elapsed: 0.054 s
% 0.15/5.78 % (2427735)Peak memory usage: 12 MB
% 0.15/5.78 % (2427735)Instructions burned: 104 (million)
% 0.15/5.78 % (2427737)Instruction limit reached!
% 0.15/5.78 % (2427737)------------------------------
% 0.15/5.78 % (2427737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/5.78 % (2427737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/5.78 % (2427737)CaDiCaL version: 2.1.3
% 0.15/5.78 % (2427737)Termination reason: Instruction limit
% 0.15/5.78 % (2427737)Termination phase: Saturation
% 0.15/5.78 % (2427737)Time elapsed: 0.068 s
% 0.15/5.78 % (2427737)Peak memory usage: 12 MB
% 0.15/5.78 % (2427737)Instructions burned: 131 (million)
% 0.15/5.78 % TRYING [6]
% 0.15/5.78 % (2427748)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2140846850:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/5.78 % (2427749)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=422932151:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.15/5.78 % (2427738)Instruction limit reached!
% 0.15/5.78 % (2427738)------------------------------
% 0.15/5.78 % (2427738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/5.78 % (2427738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/5.78 % (2427738)CaDiCaL version: 2.1.3
% 0.15/5.78 % (2427738)Termination reason: Instruction limit
% 0.15/5.78 % (2427738)Termination phase: Saturation
% 0.15/5.78 % (2427738)Time elapsed: 0.099 s
% 0.15/5.78 % (2427738)Peak memory usage: 13 MB
% 0.15/5.78 % (2427738)Instructions burned: 159 (million)
% 0.15/5.78 % (2427752)ott-21_1_sil=16000:fs=off:random_seed=1371633962:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.15/5.78 % (2427748)Instruction limit reached!
% 0.15/5.78 % (2427748)------------------------------
% 0.15/5.78 % (2427748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/5.78 % (2427748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/5.78 % (2427748)CaDiCaL version: 2.1.3
% 0.15/5.78 % (2427748)Termination reason: Instruction limit
% 0.15/5.78 % (2427748)Termination phase: Saturation
% 0.15/5.78 % (2427748)Time elapsed: 0.076 s
% 0.15/5.78 % (2427748)Peak memory usage: 13 MB
% 0.15/5.78 % (2427748)Instructions burned: 131 (million)
% 0.15/5.78 % (2427754)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3930060271:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.15/5.78 % (2427752)Instruction limit reached!
% 0.15/5.78 % (2427752)------------------------------
% 0.15/5.78 % (2427752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/5.78 % (2427752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/5.78 % (2427752)CaDiCaL version: 2.1.3
% 0.15/5.78 % (2427752)Termination reason: Instruction limit
% 0.15/5.78 % (2427752)Termination phase: Saturation
% 0.15/5.78 % (2427752)Time elapsed: 0.090 s
% 0.15/5.78 % (2427752)Peak memory usage: 12 MB
% 0.15/5.78 % (2427752)Instructions burned: 180 (million)
% 0.15/5.78 % TRYING [7]
% 0.15/5.78 % (2427756)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3265532468:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 0.15/5.78 % TRYING [1]
% 0.15/5.78 % TRYING [2]
% 0.15/5.78 % TRYING [3]
% 0.15/5.78 % TRYING [4]
% 0.15/5.78 % TRYING [7]
% 0.15/5.78 % (2427746)Instruction limit reached!
% 0.15/5.78 % (2427746)------------------------------
% 0.15/5.78 % (2427746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/5.78 % (2427746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/5.78 % (2427746)CaDiCaL version: 2.1.3
% 0.15/5.78 % (2427746)Termination reason: Instruction limit
% 0.15/5.78 % (2427746)Termination phase: Finite model building constraint generation
% 0.15/5.78 % (2427746)Time elapsed: 0.214 s
% 0.15/5.78 % (2427746)Peak memory usage: 19 MB
% 0.15/5.78 % (2427746)Instructions burned: 719 (million)
% 0.15/5.78 % TRYING [5]
% 0.15/5.78 % (2427758)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3658927719:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 0.15/5.78 % (2427758) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2427727-2427758"...
% 0.15/5.78 % (2427758)...printing done.
% 0.15/5.78 % TRYING [6]
% 0.15/5.78 % (2427758)Refutation found. Thanks to Tanya!
% 0.15/5.78 % SZS status Unsatisfiable for theBenchmark
% 0.15/5.78 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/5.78 % (2427758)------------------------------
% 0.15/5.78 % (2427758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/5.78 % (2427758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/5.78 % (2427758)CaDiCaL version: 2.1.3
% 0.15/5.78 % (2427758)Termination reason: Refutation
% 0.15/5.78 % (2427758)Time elapsed: 0.050 s
% 0.15/5.78 % (2427758)Peak memory usage: 13 MB
% 0.15/5.78 % (2427758)Instructions burned: 159 (million)
% 0.15/5.78 % (2427727)Success in time 0.35 s
% 0.15/5.78 % Vampire exiting
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