%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP450-1 : 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 : n015.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 0.41s 0.55s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 4
% Syntax : Number of formulae : 51 ( 51 unt; 0 def)
% Number of atoms : 51 ( 50 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 115 ( 115 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X1,X1),X1),X2),divide(divide(divide(X1,X1),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,plain,
! [X0,X1] : divide(divide(X1,X1),X0) = inverse(X0),
inference(reorient_equations,[],[f3]) ).
fof(f5,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f6,plain,
! [X0,X1] : inverse(X1) = divide(inverse(divide(X0,X0)),X1),
inference(superposition,[],[f4,f4]) ).
fof(f15,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f2,f4]) ).
fof(f150,plain,
! [X2,X0,X1] : divide(X0,divide(divide(divide(divide(X1,X1),X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[],[f1,f4]) ).
fof(f151,plain,
! [X2,X0,X1] : divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2))) = X1,
inference(forward_demodulation,[],[f150,f4]) ).
fof(f168,plain,
! [X2,X0,X1] : divide(X0,divide(divide(inverse(X2),inverse(X1)),multiply(inverse(X0),X1))) = X2,
inference(superposition,[],[f151,f15]) ).
fof(f170,plain,
! [X0,X1] : divide(X0,inverse(divide(inverse(X0),inverse(X1)))) = X1,
inference(superposition,[],[f151,f4]) ).
fof(f180,plain,
! [X2,X0,X1] : inverse(divide(divide(inverse(X0),X2),divide(inverse(divide(X1,X1)),X2))) = X0,
inference(superposition,[],[f4,f151]) ).
fof(f195,plain,
! [X2,X0] : inverse(divide(divide(inverse(X0),X2),inverse(X2))) = X0,
inference(forward_demodulation,[],[f180,f6]) ).
fof(f203,plain,
! [X0,X1] : multiply(X0,divide(inverse(X0),inverse(X1))) = X1,
inference(forward_demodulation,[],[f170,f15]) ).
fof(f204,plain,
! [X2,X0,X1] : divide(X0,divide(multiply(inverse(X2),X1),multiply(inverse(X0),X1))) = X2,
inference(forward_demodulation,[],[f168,f15]) ).
fof(f219,plain,
! [X2,X0] : inverse(multiply(divide(inverse(X0),X2),X2)) = X0,
inference(forward_demodulation,[],[f195,f15]) ).
fof(f227,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f203,f15]) ).
fof(f240,plain,
! [X0,X1] : multiply(inverse(inverse(X1)),X0) = multiply(X1,X0),
inference(superposition,[],[f227,f227]) ).
fof(f284,plain,
! [X0,X1] : divide(X1,X1) = inverse(multiply(inverse(X0),X0)),
inference(superposition,[],[f219,f6]) ).
fof(f323,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(superposition,[],[f227,f240]) ).
fof(f392,plain,
! [X0,X1] : divide(X1,X1) = divide(X0,X0),
inference(superposition,[],[f284,f284]) ).
fof(f515,plain,
! [X0,X1] : divide(X1,divide(X0,X0)) = X1,
inference(superposition,[],[f151,f392]) ).
fof(f577,plain,
! [X0,X1] : divide(X1,inverse(divide(X0,X0))) = X1,
inference(superposition,[],[f515,f4]) ).
fof(f612,plain,
! [X0,X1] : divide(X1,divide(inverse(X0),inverse(X1))) = X0,
inference(superposition,[],[f151,f515]) ).
fof(f628,plain,
! [X0,X1] : divide(X1,multiply(inverse(X0),X1)) = X0,
inference(forward_demodulation,[],[f612,f15]) ).
fof(f638,plain,
! [X0,X1] : multiply(X1,divide(X0,X0)) = X1,
inference(forward_demodulation,[],[f577,f15]) ).
fof(f680,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(X0,divide(X1,X1)),
inference(superposition,[],[f240,f638]) ).
fof(f684,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f680,f638]) ).
fof(f710,plain,
! [X0,X1] : divide(X1,X0) = multiply(X1,inverse(X0)),
inference(superposition,[],[f15,f684]) ).
fof(f1393,plain,
! [X0,X1] : inverse(X0) = divide(X1,multiply(X0,X1)),
inference(superposition,[],[f628,f240]) ).
fof(f1399,plain,
! [X0,X1] : divide(multiply(X1,X0),X0) = X1,
inference(superposition,[],[f628,f323]) ).
fof(f2027,plain,
! [X0,X1] : inverse(X0) = divide(inverse(X1),divide(X0,X1)),
inference(superposition,[],[f1393,f710]) ).
fof(f2028,plain,
! [X0,X1] : divide(divide(X0,X1),inverse(X1)) = X0,
inference(superposition,[],[f1399,f710]) ).
fof(f2079,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(forward_demodulation,[],[f2028,f15]) ).
fof(f2128,plain,
! [X0,X1] : divide(X1,X0) = inverse(divide(X0,X1)),
inference(superposition,[],[f1393,f2079]) ).
fof(f2181,plain,
! [X2,X0,X1] : multiply(X2,divide(X1,X0)) = divide(X2,divide(X0,X1)),
inference(superposition,[],[f15,f2128]) ).
fof(f2668,plain,
! [X2,X0,X1] : divide(X1,divide(X0,multiply(inverse(X1),multiply(inverse(inverse(X2)),X0)))) = X2,
inference(superposition,[],[f204,f227]) ).
fof(f2782,plain,
! [X2,X0,X1] : divide(X1,divide(X0,multiply(inverse(X1),multiply(X2,X0)))) = X2,
inference(forward_demodulation,[],[f2668,f240]) ).
fof(f2959,plain,
! [X0,X1] : divide(inverse(X1),X0) = inverse(multiply(X0,X1)),
inference(superposition,[],[f2027,f1399]) ).
fof(f4571,plain,
! [X2,X0,X1] : inverse(multiply(X0,divide(X2,multiply(inverse(inverse(X1)),multiply(X0,X2))))) = X1,
inference(superposition,[],[f219,f2782]) ).
fof(f4590,plain,
! [X2,X0,X1] : divide(inverse(divide(X2,multiply(inverse(inverse(X1)),multiply(X0,X2)))),X0) = X1,
inference(forward_demodulation,[],[f4571,f2959]) ).
fof(f4664,plain,
! [X2,X0,X1] : divide(divide(multiply(inverse(inverse(X1)),multiply(X0,X2)),X2),X0) = X1,
inference(forward_demodulation,[],[f4590,f2128]) ).
fof(f4717,plain,
! [X2,X0,X1] : divide(divide(multiply(X1,multiply(X0,X2)),X2),X0) = X1,
inference(forward_demodulation,[],[f4664,f240]) ).
fof(f4826,plain,
! [X2,X0,X1] : divide(multiply(multiply(X0,multiply(X1,inverse(X2))),X2),X1) = X0,
inference(superposition,[],[f4717,f15]) ).
fof(f4857,plain,
! [X2,X0,X1] : divide(multiply(multiply(X0,divide(X1,X2)),X2),X1) = X0,
inference(forward_demodulation,[],[f4826,f710]) ).
fof(f4911,plain,
! [X2,X0,X1] : divide(multiply(divide(X0,divide(X2,X1)),X2),X1) = X0,
inference(forward_demodulation,[],[f4857,f2181]) ).
fof(f5265,plain,
! [X2,X0,X1] : multiply(multiply(divide(X0,divide(X1,inverse(X2))),X1),X2) = X0,
inference(superposition,[],[f15,f4911]) ).
fof(f5266,plain,
! [X2,X0,X1] : multiply(multiply(divide(X0,multiply(X1,X2)),X1),X2) = X0,
inference(forward_demodulation,[],[f5265,f15]) ).
fof(f5421,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(superposition,[],[f5266,f1399]) ).
fof(f6498,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f5,f5421]) ).
fof(f6531,plain,
$false,
inference(trivial_inequality_removal,[],[f6498]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP450-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n015.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 10:08:30 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 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
% 0.41/0.55 % (1424757)Will run a generic schedule for satisfiability detection.
% 0.41/0.55 % (1424762)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3898655258_2999 on theBenchmark for (2999ds/0Mi)
% 0.41/0.55 % TRYING [1]
% 0.41/0.55 % TRYING [2]
% 0.41/0.55 % TRYING [3]
% 0.41/0.55 % TRYING [4]
% 0.41/0.55 % (1424768)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3896788164:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.41/0.55 % (1424765)dis+10_1_sil=32000:sp=arity:random_seed=2012627150:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.41/0.55 % (1424764)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3025174141:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.41/0.55 % (1424766)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2427141778:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.41/0.55 % (1424767)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4245379484:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.41/0.55 % (1424763)% WARNING: option uhcvi not known.
% 0.41/0.55 % (1424763)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3111895437:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.41/0.55 % TRYING [5]
% 0.41/0.55 % (1424765)Instruction limit reached!
% 0.41/0.55 % (1424765)------------------------------
% 0.41/0.55 % (1424765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.55 % (1424765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.55 % (1424765)CaDiCaL version: 2.1.3
% 0.41/0.55 % (1424765)Termination reason: Instruction limit
% 0.41/0.55 % (1424765)Termination phase: Saturation
% 0.41/0.55 % (1424765)Time elapsed: 0.058 s
% 0.41/0.55 % (1424765)Peak memory usage: 12 MB
% 0.41/0.55 % (1424765)Instructions burned: 103 (million)
% 0.41/0.55 % (1424766)Instruction limit reached!
% 0.41/0.55 % (1424766)------------------------------
% 0.41/0.55 % (1424766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.55 % (1424766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.55 % (1424766)CaDiCaL version: 2.1.3
% 0.41/0.55 % (1424766)Termination reason: Instruction limit
% 0.41/0.55 % (1424766)Termination phase: Saturation
% 0.41/0.55 % (1424766)Time elapsed: 0.063 s
% 0.41/0.55 % (1424766)Peak memory usage: 12 MB
% 0.41/0.55 % (1424766)Instructions burned: 116 (million)
% 0.41/0.55 % (1424767)Instruction limit reached!
% 0.41/0.55 % (1424767)------------------------------
% 0.41/0.55 % (1424767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.55 % (1424767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.55 % (1424767)CaDiCaL version: 2.1.3
% 0.41/0.55 % (1424767)Termination reason: Instruction limit
% 0.41/0.55 % (1424767)Termination phase: Saturation
% 0.41/0.55 % (1424767)Time elapsed: 0.074 s
% 0.41/0.55 % (1424767)Peak memory usage: 13 MB
% 0.41/0.55 % (1424767)Instructions burned: 131 (million)
% 0.41/0.55 % (1424776)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=831063266:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.41/0.55 % TRYING [1]
% 0.41/0.55 % TRYING [2]
% 0.41/0.55 % TRYING [3]
% 0.41/0.55 % (1424777)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=924032273:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.41/0.55 % TRYING [6]
% 0.41/0.55 % TRYING [4]
% 0.41/0.55 % (1424768)Instruction limit reached!
% 0.41/0.55 % (1424768)------------------------------
% 0.41/0.55 % (1424768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.55 % (1424768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.55 % (1424768)CaDiCaL version: 2.1.3
% 0.41/0.55 % (1424768)Termination reason: Instruction limit
% 0.41/0.55 % (1424768)Termination phase: Saturation
% 0.41/0.55 % (1424768)Time elapsed: 0.092 s
% 0.41/0.55 % (1424768)Peak memory usage: 12 MB
% 0.41/0.55 % (1424768)Instructions burned: 160 (million)
% 0.41/0.55 % (1424778)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=407923702:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.41/0.55 % (1424764) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1424757-1424764"...
% 0.41/0.55 % (1424764)...printing done.
% 0.41/0.55 % (1424764)Refutation found. Thanks to Tanya!
% 0.41/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.41/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.41/0.55 % (1424764)------------------------------
% 0.41/0.55 % (1424764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.55 % (1424764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.55 % (1424764)CaDiCaL version: 2.1.3
% 0.41/0.55 % (1424764)Termination reason: Refutation
% 0.41/0.55 % (1424764)Time elapsed: 0.099 s
% 0.41/0.55 % (1424764)Peak memory usage: 13 MB
% 0.41/0.55 % (1424764)Instructions burned: 189 (million)
% 0.41/0.55 % (1424757)Success in time 0.141 s
% 0.41/0.55 % Vampire exiting
%------------------------------------------------------------------------------