%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP700-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 10:18:35 AM UTC 2026
% Result : Unsatisfiable 1.88s 0.83s
% Output : Refutation 1.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 22 unt; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(mult(mult(X0,X1),X0),mult(X0,X2)) = mult(X0,mult(mult(mult(X1,X0),X0),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).
fof(f9,negated_conjecture,
! [X0] : tuple(mult(X0,x0),mult(x0,X0)) != tuple(unit,unit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f15,plain,
! [X0] : tuple(unit,unit) != tuple(mult(ld(x0,X0),x0),X0),
inference(superposition,[],[f9,f1]) ).
fof(f26,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(superposition,[],[f2,f3]) ).
fof(f32,plain,
! [X0] : unit = rd(X0,X0),
inference(superposition,[],[f4,f6]) ).
fof(f54,plain,
! [X0,X1] : mult(X0,mult(mult(mult(X1,X0),X0),unit)) = mult(mult(mult(X0,X1),X0),X0),
inference(superposition,[],[f7,f5]) ).
fof(f62,plain,
! [X0,X1] : mult(mult(mult(X0,X1),X0),X0) = mult(X0,mult(mult(X1,X0),X0)),
inference(forward_demodulation,[],[f54,f5]) ).
fof(f75,plain,
! [X0,X1] : mult(X1,mult(mult(ld(X1,X0),X1),X1)) = mult(mult(X0,X1),X1),
inference(superposition,[],[f62,f1]) ).
fof(f1005,plain,
! [X0,X1] : rd(mult(mult(X0,X1),X1),mult(mult(ld(X1,X0),X1),X1)) = X1,
inference(superposition,[],[f4,f75]) ).
fof(f4743,plain,
! [X0] : rd(mult(X0,X0),mult(mult(ld(X0,unit),X0),X0)) = X0,
inference(superposition,[],[f1005,f6]) ).
fof(f5318,plain,
! [X0] : ld(X0,mult(X0,X0)) = mult(mult(ld(X0,unit),X0),X0),
inference(superposition,[],[f26,f4743]) ).
fof(f5321,plain,
! [X0] : mult(mult(ld(X0,unit),X0),X0) = X0,
inference(forward_demodulation,[],[f5318,f2]) ).
fof(f7919,plain,
! [X0] : rd(X0,X0) = mult(ld(X0,unit),X0),
inference(superposition,[],[f4,f5321]) ).
fof(f8194,plain,
! [X0] : unit = mult(ld(X0,unit),X0),
inference(forward_demodulation,[],[f7919,f32]) ).
fof(f9154,plain,
tuple(unit,unit) != tuple(unit,unit),
inference(superposition,[],[f15,f8194]) ).
fof(f9377,plain,
$false,
inference(trivial_inequality_removal,[],[f9154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP700-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.17/0.43 % Computer : n017.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 27 10:31:50 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.48 Running first-order model finding
% 0.22/0.48 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
% 1.88/0.83 % (2352136)Will run a generic schedule for satisfiability detection.
% 1.88/0.83 % (2352143)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3533026389:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 1.88/0.83 % (2352142)% WARNING: option uhcvi not known.
% 1.88/0.83 % (2352141)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1773850713_3000 on theBenchmark for (3000ds/0Mi)
% 1.88/0.83 % (2352142)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1231920168:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 1.88/0.83 % (2352144)dis+10_1_sil=32000:sp=arity:random_seed=3214757809:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 1.88/0.83 % (2352146)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1138197251:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 1.88/0.83 % (2352145)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3680541770:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 1.88/0.83 % (2352147)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2629406766:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 1.88/0.83 % TRYING [1]
% 1.88/0.83 % TRYING [2]
% 1.88/0.83 % TRYING [3]
% 1.88/0.83 % TRYING [4]
% 1.88/0.83 % TRYING [5]
% 1.88/0.83 % TRYING [6]
% 1.88/0.83 % (2352144)Instruction limit reached!
% 1.88/0.83 % (2352144)------------------------------
% 1.88/0.83 % (2352144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.88/0.83 % (2352144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.88/0.83 % (2352144)CaDiCaL version: 2.1.3
% 1.88/0.83 % (2352144)Termination reason: Instruction limit
% 1.88/0.83 % (2352144)Termination phase: Saturation
% 1.88/0.83 % (2352144)Time elapsed: 0.095 s
% 1.88/0.83 % (2352144)Peak memory usage: 12 MB
% 1.88/0.83 % (2352144)Instructions burned: 103 (million)
% 1.88/0.83 % (2352145)Instruction limit reached!
% 1.88/0.83 % (2352145)------------------------------
% 1.88/0.83 % (2352145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.88/0.83 % (2352145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.88/0.83 % (2352145)CaDiCaL version: 2.1.3
% 1.88/0.83 % (2352145)Termination reason: Instruction limit
% 1.88/0.83 % (2352145)Termination phase: Saturation
% 1.88/0.83 % (2352145)Time elapsed: 0.119 s
% 1.88/0.83 % (2352145)Peak memory usage: 12 MB
% 1.88/0.83 % (2352145)Instructions burned: 119 (million)
% 1.88/0.83 % (2352157)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3644995780:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.88/0.83 % TRYING [1]
% 1.88/0.83 % TRYING [2]
% 1.88/0.83 % TRYING [3]
% 1.88/0.83 % (2352146)Instruction limit reached!
% 1.88/0.83 % (2352146)------------------------------
% 1.88/0.83 % (2352146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.88/0.83 % (2352146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.88/0.83 % (2352146)CaDiCaL version: 2.1.3
% 1.88/0.83 % (2352146)Termination reason: Instruction limit
% 1.88/0.83 % (2352146)Termination phase: Saturation
% 1.88/0.83 % (2352146)Time elapsed: 0.130 s
% 1.88/0.83 % (2352146)Peak memory usage: 13 MB
% 1.88/0.83 % (2352146)Instructions burned: 132 (million)
% 1.88/0.83 % TRYING [4]
% 1.88/0.83 % (2352158)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=157587148:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.88/0.83 % (2352147)Instruction limit reached!
% 1.88/0.83 % (2352147)------------------------------
% 1.88/0.83 % (2352147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.88/0.83 % (2352147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.88/0.83 % (2352147)CaDiCaL version: 2.1.3
% 1.88/0.83 % (2352147)Termination reason: Instruction limit
% 1.88/0.83 % (2352147)Termination phase: Saturation
% 1.88/0.83 % (2352147)Time elapsed: 0.149 s
% 1.88/0.83 % (2352147)Peak memory usage: 13 MB
% 1.88/0.83 % (2352147)Instructions burned: 160 (million)
% 1.88/0.83 % TRYING [5]
% 1.88/0.83 % (2352160)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=268643354:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.88/0.83 % (2352163)ott-21_1_sil=16000:fs=off:random_seed=3948015696:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.88/0.83 % TRYING [7]
% 1.88/0.83 % TRYING [6]
% 1.88/0.83 % (2352158)Instruction limit reached!
% 1.88/0.83 % (2352158)------------------------------
% 1.88/0.83 % (2352158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.88/0.83 % (2352158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.88/0.83 % (2352158)CaDiCaL version: 2.1.3
% 1.88/0.83 % (2352158)Termination reason: Instruction limit
% 1.88/0.83 % (2352158)Termination phase: Saturation
% 1.88/0.83 % (2352158)Time elapsed: 0.100 s
% 1.88/0.83 % (2352158)Peak memory usage: 13 MB
% 1.88/0.83 % (2352158)Instructions burned: 132 (million)
% 1.88/0.83 % (2352167)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3015698458:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.88/0.83 % (2352143) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2352136-2352143"...
% 1.88/0.83 % (2352143)...printing done.
% 1.88/0.83 % (2352143)Refutation found. Thanks to Tanya!
% 1.88/0.83 % SZS status Unsatisfiable for theBenchmark
% 1.88/0.83 % SZS output start Proof for theBenchmark
% See solution above
% 1.88/0.83 % (2352143)------------------------------
% 1.88/0.83 % (2352143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.88/0.83 % (2352143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.88/0.83 % (2352143)CaDiCaL version: 2.1.3
% 1.88/0.83 % (2352143)Termination reason: Refutation
% 1.88/0.83 % (2352143)Time elapsed: 0.311 s
% 1.88/0.83 % (2352143)Peak memory usage: 16 MB
% 1.88/0.83 % (2352143)Instructions burned: 683 (million)
% 1.88/0.83 % (2352136)Success in time 0.337 s
% 1.88/0.83 % Vampire exiting
%------------------------------------------------------------------------------