%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP729-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 10:18:40 AM UTC 2026
% Result : Unsatisfiable 2.12s 1.01s
% Output : Refutation 2.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 20 ( 20 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
fof(f5,axiom,
! [X0] : mult(i(X0),X0) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
fof(f6,plain,
! [X0] : unit = mult(i(X0),X0),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X0,X1] : i(mult(X0,X1)) = mult(i(X0),i(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
fof(f8,axiom,
! [X0,X1] : mult(i(X0),mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
fof(f12,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(mult(X0,mult(X1,X2)),asoc(X0,X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10) ).
fof(f13,axiom,
! [X0,X1] : mult(X0,X1) = mult(mult(X1,X0),op_k(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c11) ).
fof(f25,axiom,
! [X2,X3,X0,X1,X4] : asoc(X0,X1,asoc(X2,X3,X4)) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c22) ).
fof(f26,plain,
! [X2,X3,X0,X1,X4] : unit = asoc(X0,X1,asoc(X2,X3,X4)),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
asoc(a,b,op_k(c,d)) != unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f28,plain,
unit != asoc(a,b,op_k(c,d)),
inference(reorient_equations,[],[f27]) ).
fof(f284,plain,
! [X0,X1] : op_k(X0,X1) = mult(i(mult(X1,X0)),mult(X0,X1)),
inference(superposition,[],[f8,f13]) ).
fof(f521,plain,
! [X0,X1] : mult(mult(i(mult(X0,X1)),X0),X1) = mult(unit,asoc(i(mult(X0,X1)),X0,X1)),
inference(superposition,[],[f12,f6]) ).
fof(f539,plain,
! [X0,X1] : mult(mult(i(mult(X0,X1)),X0),X1) = asoc(i(mult(X0,X1)),X0,X1),
inference(forward_demodulation,[],[f521,f1]) ).
fof(f7635,plain,
! [X0,X1] : mult(mult(i(X0),i(X1)),mult(X1,X0)) = asoc(i(X0),i(X1),mult(X1,X0)),
inference(superposition,[],[f539,f8]) ).
fof(f7734,plain,
! [X0,X1] : mult(i(mult(X0,X1)),mult(X1,X0)) = asoc(i(X0),i(X1),mult(X1,X0)),
inference(forward_demodulation,[],[f7635,f7]) ).
fof(f7769,plain,
! [X0,X1] : op_k(X1,X0) = asoc(i(X0),i(X1),mult(X1,X0)),
inference(forward_demodulation,[],[f7734,f284]) ).
fof(f8512,plain,
! [X2,X3,X0,X1] : unit = asoc(X2,X3,op_k(X0,X1)),
inference(superposition,[],[f26,f7769]) ).
fof(f8616,plain,
unit != unit,
inference(superposition,[],[f28,f8512]) ).
fof(f8617,plain,
$false,
inference(trivial_inequality_removal,[],[f8616]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP729-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.19/0.45 % Computer : n017.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sun Sep 27 10:36:49 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.25/0.51 Running first-order model finding
% 0.25/0.51 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
% 2.12/1.01 % (2355583)Will run a generic schedule for satisfiability detection.
% 2.12/1.01 % (2355588)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4243928688_2999 on theBenchmark for (2999ds/0Mi)
% 2.12/1.01 % TRYING [1]
% 2.12/1.01 % TRYING [2]
% 2.12/1.01 % TRYING [3]
% 2.12/1.01 % (2355594)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=664293849:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.12/1.01 % (2355593)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3931799234:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.12/1.01 % (2355590)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=101729821:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.12/1.01 % (2355591)dis+10_1_sil=32000:sp=arity:random_seed=1617127527:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.12/1.01 % (2355592)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4121149978:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.12/1.01 % (2355589)% WARNING: option uhcvi not known.
% 2.12/1.01 % (2355589)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=584250573:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.12/1.01 % TRYING [4]
% 2.12/1.01 % (2355591)Instruction limit reached!
% 2.12/1.01 % (2355591)------------------------------
% 2.12/1.01 % (2355591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.12/1.01 % (2355591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/1.01 % (2355591)CaDiCaL version: 2.1.3
% 2.12/1.01 % (2355591)Termination reason: Instruction limit
% 2.12/1.01 % (2355591)Termination phase: Saturation
% 2.12/1.01 % (2355591)Time elapsed: 0.093 s
% 2.12/1.01 % (2355591)Peak memory usage: 12 MB
% 2.12/1.01 % (2355591)Instructions burned: 103 (million)
% 2.12/1.01 % (2355592)Instruction limit reached!
% 2.12/1.01 % (2355592)------------------------------
% 2.12/1.01 % (2355592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.12/1.01 % (2355592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/1.01 % (2355592)CaDiCaL version: 2.1.3
% 2.12/1.01 % (2355592)Termination reason: Instruction limit
% 2.12/1.01 % (2355592)Termination phase: Saturation
% 2.12/1.01 % (2355592)Time elapsed: 0.111 s
% 2.12/1.01 % (2355592)Peak memory usage: 12 MB
% 2.12/1.01 % (2355592)Instructions burned: 116 (million)
% 2.12/1.01 % (2355593)Instruction limit reached!
% 2.12/1.01 % (2355593)------------------------------
% 2.12/1.01 % (2355593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.12/1.01 % (2355593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/1.01 % (2355593)CaDiCaL version: 2.1.3
% 2.12/1.01 % (2355593)Termination reason: Instruction limit
% 2.12/1.01 % (2355593)Termination phase: Saturation
% 2.12/1.01 % (2355593)Time elapsed: 0.121 s
% 2.12/1.01 % (2355593)Peak memory usage: 13 MB
% 2.12/1.01 % (2355593)Instructions burned: 132 (million)
% 2.12/1.01 % (2355602)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1645014575:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 2.12/1.01 % (2355603)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3521511767:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.12/1.01 % TRYING [1]
% 2.12/1.01 % TRYING [2]
% 2.12/1.01 % (2355594)Instruction limit reached!
% 2.12/1.01 % (2355594)------------------------------
% 2.12/1.01 % (2355594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.12/1.01 % (2355594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/1.01 % (2355594)CaDiCaL version: 2.1.3
% 2.12/1.01 % (2355594)Termination reason: Instruction limit
% 2.12/1.01 % (2355594)Termination phase: Saturation
% 2.12/1.01 % (2355594)Time elapsed: 0.155 s
% 2.12/1.01 % (2355594)Peak memory usage: 12 MB
% 2.12/1.01 % (2355594)Instructions burned: 159 (million)
% 2.12/1.01 % (2355604)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=3109643077:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.12/1.01 % TRYING [3]
% 2.12/1.01 % (2355608)ott-21_1_sil=16000:fs=off:random_seed=1743880249:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 2.12/1.01 % TRYING [4]
% 2.12/1.01 % (2355603)Instruction limit reached!
% 2.12/1.01 % (2355603)------------------------------
% 2.12/1.01 % (2355603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.12/1.01 % (2355603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/1.01 % (2355603)CaDiCaL version: 2.1.3
% 2.12/1.01 % (2355603)Termination reason: Instruction limit
% 2.12/1.01 % (2355603)Termination phase: Saturation
% 2.12/1.01 % (2355603)Time elapsed: 0.140 s
% 2.12/1.01 % (2355603)Peak memory usage: 13 MB
% 2.12/1.01 % (2355603)Instructions burned: 131 (million)
% 2.12/1.01 % (2355610)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3996292165:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 2.12/1.01 % (2355608)Instruction limit reached!
% 2.12/1.01 % (2355608)------------------------------
% 2.12/1.01 % (2355608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.12/1.01 % (2355608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/1.01 % (2355608)CaDiCaL version: 2.1.3
% 2.12/1.01 % (2355608)Termination reason: Instruction limit
% 2.12/1.01 % (2355608)Termination phase: Saturation
% 2.12/1.01 % (2355608)Time elapsed: 0.168 s
% 2.12/1.01 % (2355608)Peak memory usage: 12 MB
% 2.12/1.01 % (2355608)Instructions burned: 180 (million)
% 2.12/1.01 % TRYING [5]
% 2.12/1.01 % (2355604) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2355583-2355604"...
% 2.12/1.01 % (2355604)...printing done.
% 2.12/1.01 % (2355604)Refutation found. Thanks to Tanya!
% 2.12/1.01 % SZS status Unsatisfiable for theBenchmark
% 2.12/1.01 % SZS output start Proof for theBenchmark
% See solution above
% 2.12/1.01 % (2355604)------------------------------
% 2.12/1.01 % (2355604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.12/1.01 % (2355604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/1.01 % (2355604)CaDiCaL version: 2.1.3
% 2.12/1.01 % (2355604)Termination reason: Refutation
% 2.12/1.01 % (2355604)Time elapsed: 0.258 s
% 2.12/1.01 % (2355604)Peak memory usage: 15 MB
% 2.12/1.01 % (2355604)Instructions burned: 289 (million)
% 2.12/1.01 % (2355583)Success in time 0.487 s
% 2.12/1.01 % Vampire exiting
%------------------------------------------------------------------------------