%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP447-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 10:17:51 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.79s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 4
% Syntax : Number of formulae : 40 ( 40 unt; 0 def)
% Number of atoms : 40 ( 39 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 74 ( 74 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(divide(divide(X0,X0),X0),X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f5,plain,
! [X0,X1] : inverse(X1) = divide(inverse(divide(X0,X0)),X1),
inference(superposition,[],[f3,f3]) ).
fof(f6,plain,
! [X0,X1] : inverse(X1) = divide(inverse(inverse(divide(X0,X0))),X1),
inference(superposition,[],[f5,f3]) ).
fof(f14,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f3]) ).
fof(f16,plain,
multiply(a3,multiply(b3,c3)) != divide(multiply(a3,b3),inverse(c3)),
inference(superposition,[],[f4,f14]) ).
fof(f17,plain,
multiply(a3,multiply(b3,c3)) != divide(divide(a3,inverse(b3)),inverse(c3)),
inference(forward_demodulation,[],[f16,f14]) ).
fof(f19,plain,
divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(multiply(b3,c3))),
inference(forward_demodulation,[],[f17,f14]) ).
fof(f21,plain,
divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))),
inference(forward_demodulation,[],[f19,f14]) ).
fof(f78,plain,
! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X0,X0),X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f79,plain,
! [X2,X0,X1] : divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[],[f78,f3]) ).
fof(f96,plain,
! [X0,X1] : divide(X0,inverse(divide(inverse(X0),inverse(X1)))) = X1,
inference(superposition,[],[f79,f3]) ).
fof(f105,plain,
! [X2,X0,X1] : inverse(divide(divide(inverse(X0),X1),divide(inverse(divide(X2,X2)),X1))) = X0,
inference(superposition,[],[f3,f79]) ).
fof(f119,plain,
! [X0,X1] : inverse(divide(divide(inverse(X0),X1),inverse(X1))) = X0,
inference(forward_demodulation,[],[f105,f5]) ).
fof(f151,plain,
! [X0,X1] : inverse(inverse(divide(inverse(inverse(divide(X1,X1))),inverse(X0)))) = X0,
inference(superposition,[],[f5,f96]) ).
fof(f165,plain,
! [X0] : inverse(inverse(inverse(inverse(X0)))) = X0,
inference(forward_demodulation,[],[f151,f6]) ).
fof(f197,plain,
! [X0,X1] : divide(X1,X1) = inverse(divide(inverse(X0),inverse(X0))),
inference(superposition,[],[f119,f5]) ).
fof(f226,plain,
! [X0,X1] : divide(X1,X1) = inverse(divide(X0,X0)),
inference(superposition,[],[f197,f165]) ).
fof(f259,plain,
! [X0,X1] : divide(X1,divide(X0,X0)) = X1,
inference(superposition,[],[f96,f197]) ).
fof(f434,plain,
! [X0,X1] : divide(X1,divide(inverse(X0),inverse(X1))) = X0,
inference(superposition,[],[f79,f259]) ).
fof(f666,plain,
! [X2,X0,X1] : inverse(divide(divide(inverse(X1),divide(X2,X2)),divide(X0,X0))) = X1,
inference(superposition,[],[f119,f226]) ).
fof(f668,plain,
! [X2,X1] : inverse(divide(inverse(X1),divide(X2,X2))) = X1,
inference(forward_demodulation,[],[f666,f259]) ).
fof(f697,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(forward_demodulation,[],[f668,f259]) ).
fof(f1011,plain,
! [X0,X1] : inverse(X0) = divide(X1,divide(X0,inverse(X1))),
inference(superposition,[],[f434,f697]) ).
fof(f1017,plain,
! [X0,X1] : divide(inverse(X0),divide(inverse(X1),X0)) = X1,
inference(superposition,[],[f434,f697]) ).
fof(f1022,plain,
! [X0,X1] : divide(divide(inverse(inverse(X1)),inverse(X0)),X0) = X1,
inference(superposition,[],[f434,f96]) ).
fof(f1084,plain,
! [X0,X1] : divide(divide(X1,inverse(X0)),X0) = X1,
inference(forward_demodulation,[],[f1022,f697]) ).
fof(f1237,plain,
! [X0,X1] : divide(X1,X0) = inverse(divide(X0,inverse(inverse(X1)))),
inference(superposition,[],[f1011,f1084]) ).
fof(f1297,plain,
! [X0,X1] : divide(X1,X0) = inverse(divide(X0,X1)),
inference(forward_demodulation,[],[f1237,f697]) ).
fof(f1432,plain,
! [X2,X0,X1] : divide(inverse(divide(divide(inverse(X0),X1),divide(inverse(inverse(X2)),X1))),X0) = X2,
inference(superposition,[],[f1017,f79]) ).
fof(f1485,plain,
! [X2,X0,X1] : divide(divide(divide(inverse(inverse(X2)),X1),divide(inverse(X0),X1)),X0) = X2,
inference(forward_demodulation,[],[f1432,f1297]) ).
fof(f1524,plain,
! [X2,X0,X1] : divide(divide(divide(X2,X1),divide(inverse(X0),X1)),X0) = X2,
inference(forward_demodulation,[],[f1485,f697]) ).
fof(f2449,plain,
! [X2,X0,X1] : divide(X0,X2) = divide(divide(X0,X1),divide(inverse(inverse(X2)),X1)),
inference(superposition,[],[f1084,f1524]) ).
fof(f2450,plain,
! [X2,X0,X1] : divide(X0,X2) = divide(divide(X0,X1),divide(X2,X1)),
inference(forward_demodulation,[],[f2449,f697]) ).
fof(f2523,plain,
! [X2,X0,X1] : divide(X0,divide(X2,X1)) = divide(divide(X0,inverse(X1)),X2),
inference(superposition,[],[f2450,f1084]) ).
fof(f3580,plain,
divide(a3,inverse(divide(b3,inverse(c3)))) != divide(a3,divide(inverse(c3),b3)),
inference(superposition,[],[f21,f2523]) ).
fof(f3662,plain,
divide(a3,divide(inverse(c3),b3)) != divide(a3,divide(inverse(c3),b3)),
inference(forward_demodulation,[],[f3580,f1297]) ).
fof(f3663,plain,
$false,
inference(trivial_inequality_removal,[],[f3662]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP447-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.55 % Computer : n013.cluster.edu
% 0.13/0.55 % Model : x86_64 x86_64
% 0.13/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.55 % Memory : 8046.5625MB
% 0.13/0.55 % OS : Linux 6.8.0-71-generic
% 0.13/0.56 % CPULimit : 300
% 0.13/0.56 % WCLimit : 300
% 0.13/0.56 % DateTime : Sun Sep 27 10:04:21 UTC 2026
% 0.14/0.56 % CPUTime :
% 0.14/0.56 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.59 Running first-order model finding
% 0.14/0.59 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
% 0.15/0.79 % (4171976)Will run a generic schedule for satisfiability detection.
% 0.15/0.79 % (4171996)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1630053703:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.79 % (4171991)% WARNING: option uhcvi not known.
% 0.15/0.79 % (4171990)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2170860004_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.79 % (4171992)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=392469197:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.79 % (4171993)dis+10_1_sil=32000:sp=arity:random_seed=656435152:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.79 % (4171994)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4177017800:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.79 % (4171995)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4174074035:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.79 % (4171991)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2235552688:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.79 % TRYING [1]
% 0.15/0.79 % TRYING [2]
% 0.15/0.79 % TRYING [3]
% 0.15/0.79 % TRYING [4]
% 0.15/0.79 % TRYING [5]
% 0.15/0.79 % (4171996)Instruction limit reached!
% 0.15/0.79 % (4171996)------------------------------
% 0.15/0.79 % (4171996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.79 % (4171996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.79 % (4171996)CaDiCaL version: 2.1.3
% 0.15/0.79 % (4171996)Termination reason: Instruction limit
% 0.15/0.79 % (4171996)Termination phase: Saturation
% 0.15/0.79 % (4171996)Time elapsed: 0.051 s
% 0.15/0.79 % (4171996)Peak memory usage: 12 MB
% 0.15/0.79 % (4171996)Instructions burned: 160 (million)
% 0.15/0.79 % (4172022)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3339064499:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.15/0.79 % TRYING [1]
% 0.15/0.79 % TRYING [2]
% 0.15/0.79 % TRYING [3]
% 0.15/0.79 % (4171993)Instruction limit reached!
% 0.15/0.79 % (4171993)------------------------------
% 0.15/0.79 % (4171993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.79 % (4171993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.79 % (4171993)CaDiCaL version: 2.1.3
% 0.15/0.79 % (4171993)Termination reason: Instruction limit
% 0.15/0.79 % (4171993)Termination phase: Saturation
% 0.15/0.79 % (4171993)Time elapsed: 0.057 s
% 0.15/0.79 % (4171993)Peak memory usage: 12 MB
% 0.15/0.79 % (4171993)Instructions burned: 104 (million)
% 0.15/0.79 % TRYING [4]
% 0.15/0.79 % (4171994)Instruction limit reached!
% 0.15/0.79 % (4171994)------------------------------
% 0.15/0.79 % (4171994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.79 % (4171994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.79 % (4171994)CaDiCaL version: 2.1.3
% 0.15/0.79 % (4171994)Termination reason: Instruction limit
% 0.15/0.79 % (4171994)Termination phase: Saturation
% 0.15/0.79 % (4171994)Time elapsed: 0.063 s
% 0.15/0.79 % (4171994)Peak memory usage: 12 MB
% 0.15/0.79 % (4171994)Instructions burned: 117 (million)
% 0.15/0.79 % (4171995)Instruction limit reached!
% 0.15/0.79 % (4171995)------------------------------
% 0.15/0.79 % (4171995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.79 % (4171995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.79 % (4171995)CaDiCaL version: 2.1.3
% 0.15/0.79 % (4171995)Termination reason: Instruction limit
% 0.15/0.79 % (4171995)Termination phase: Saturation
% 0.15/0.79 % (4171995)Time elapsed: 0.075 s
% 0.15/0.79 % (4171995)Peak memory usage: 12 MB
% 0.15/0.79 % (4171995)Instructions burned: 131 (million)
% 0.15/0.79 % (4172026)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1732986469:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.15/0.79 % TRYING [5]
% 0.15/0.79 % (4172027)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=302843251:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.15/0.79 % (4172031)ott-21_1_sil=16000:fs=off:random_seed=1828680943:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.15/0.79 % (4172026) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4171976-4172026"...
% 0.15/0.79 % (4172027) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4171976-4172027"...
% 0.15/0.79 % (4172027)...printing done.
% 0.15/0.79 % (4172027)Refutation found. Thanks to Tanya!
% 0.15/0.79 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.79 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.79 % (4172027)------------------------------
% 0.15/0.79 % (4172027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.79 % (4172027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.79 % (4172027)CaDiCaL version: 2.1.3
% 0.15/0.79 % (4172027)Termination reason: Refutation
% 0.15/0.79 % (4172027)Time elapsed: 0.060 s
% 0.15/0.79 % (4172027)Peak memory usage: 13 MB
% 0.15/0.79 % (4172027)Instructions burned: 114 (million)
% 0.15/0.79 % (4171976)Success in time 0.193 s
% 0.15/0.79 % Vampire exiting
%------------------------------------------------------------------------------