%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP555-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 10:18:05 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.50s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 29 ( 29 unt; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(X0,inverse(divide(X1,divide(X0,X2)))),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f4,plain,
divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))),
inference(definition_unfolding,[],[f3,f2,f2,f2,f2]) ).
fof(f5,plain,
! [X2,X3,X0,X1] : divide(divide(divide(X1,inverse(divide(X0,divide(X1,X2)))),inverse(divide(X3,X0))),X2) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f13,plain,
! [X2,X0] : divide(X0,inverse(divide(X2,X0))) = X2,
inference(superposition,[],[f5,f1]) ).
fof(f18,plain,
! [X0,X1] : divide(inverse(divide(X0,X1)),inverse(X0)) = X1,
inference(superposition,[],[f13,f13]) ).
fof(f24,plain,
! [X0,X1] : inverse(divide(X0,X1)) = divide(inverse(X0),inverse(X1)),
inference(superposition,[],[f18,f13]) ).
fof(f30,plain,
! [X0,X1] : inverse(divide(divide(X1,X0),X1)) = X0,
inference(superposition,[],[f24,f18]) ).
fof(f31,plain,
! [X0,X1] : inverse(divide(X1,divide(X0,inverse(X1)))) = X0,
inference(superposition,[],[f24,f13]) ).
fof(f55,plain,
! [X2,X0,X1] : divide(divide(X1,X2),X0) = divide(divide(X1,X0),X2),
inference(superposition,[],[f1,f30]) ).
fof(f68,plain,
! [X0,X1] : divide(divide(X0,X0),inverse(X1)) = X1,
inference(superposition,[],[f1,f31]) ).
fof(f69,plain,
! [X0,X1] : divide(divide(X0,inverse(X1)),X0) = X1,
inference(superposition,[],[f13,f31]) ).
fof(f87,plain,
! [X2,X0,X1] : divide(divide(divide(X1,X1),inverse(divide(X2,X0))),inverse(X0)) = X2,
inference(superposition,[],[f1,f68]) ).
fof(f88,plain,
! [X2,X0] : divide(divide(X2,X0),inverse(X0)) = X2,
inference(forward_demodulation,[],[f87,f68]) ).
fof(f235,plain,
! [X0,X1] : divide(X0,inverse(X1)) = divide(X1,inverse(X0)),
inference(superposition,[],[f88,f69]) ).
fof(f251,plain,
! [X0,X1] : divide(X0,X1) = inverse(divide(X1,X0)),
inference(superposition,[],[f31,f88]) ).
fof(f765,plain,
divide(a3,inverse(divide(b3,inverse(c3)))) != divide(c3,inverse(divide(a3,inverse(b3)))),
inference(superposition,[],[f4,f235]) ).
fof(f791,plain,
! [X0,X1] : inverse(divide(X0,inverse(X1))) = divide(inverse(X0),X1),
inference(superposition,[],[f251,f235]) ).
fof(f804,plain,
! [X0,X1] : divide(inverse(X1),X0) = divide(inverse(X0),X1),
inference(forward_demodulation,[],[f791,f251]) ).
fof(f827,plain,
divide(a3,inverse(divide(b3,inverse(c3)))) != divide(c3,divide(inverse(b3),a3)),
inference(forward_demodulation,[],[f765,f251]) ).
fof(f904,plain,
divide(c3,divide(inverse(b3),a3)) != divide(a3,divide(inverse(c3),b3)),
inference(forward_demodulation,[],[f827,f251]) ).
fof(f1508,plain,
! [X2,X0,X1] : divide(X0,X2) = divide(X1,inverse(divide(divide(X0,X1),X2))),
inference(superposition,[],[f13,f55]) ).
fof(f1543,plain,
! [X2,X0,X1] : divide(X0,X2) = divide(X1,divide(X2,divide(X0,X1))),
inference(forward_demodulation,[],[f1508,f251]) ).
fof(f1844,plain,
! [X2,X0,X1] : divide(X1,divide(X0,X2)) = inverse(divide(divide(X0,X1),X2)),
inference(superposition,[],[f30,f1543]) ).
fof(f1864,plain,
! [X2,X0,X1] : divide(X1,divide(X0,X2)) = divide(X2,divide(X0,X1)),
inference(forward_demodulation,[],[f1844,f251]) ).
fof(f2401,plain,
divide(a3,divide(inverse(c3),b3)) != divide(a3,divide(inverse(b3),c3)),
inference(superposition,[],[f904,f1864]) ).
fof(f2475,plain,
divide(a3,divide(inverse(b3),c3)) != divide(a3,divide(inverse(b3),c3)),
inference(forward_demodulation,[],[f2401,f804]) ).
fof(f2476,plain,
$false,
inference(trivial_inequality_removal,[],[f2475]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP555-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n013.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 10:06:36 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.40 Running first-order model finding
% 0.16/0.40 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
% 0.17/0.50 % (4178960)Will run a generic schedule for satisfiability detection.
% 0.17/0.50 % (4178981)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1416821175:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.50 % (4178976)% WARNING: option uhcvi not known.
% 0.17/0.50 % (4178975)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=657168587_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.50 % (4178976)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3321717825:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.50 % (4178979)dis+10_1_sil=32000:sp=arity:random_seed=606465207:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.50 % (4178978)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2981143412:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.50 % (4178980)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1255824005:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.50 % (4178982)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2581172393:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.50 % TRYING [1]
% 0.17/0.50 % TRYING [2]
% 0.17/0.50 % TRYING [3]
% 0.17/0.50 % TRYING [4]
% 0.17/0.50 % (4178981)Instruction limit reached!
% 0.17/0.50 % (4178981)------------------------------
% 0.17/0.50 % (4178981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.50 % (4178981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.50 % (4178981)CaDiCaL version: 2.1.3
% 0.17/0.50 % (4178981)Termination reason: Instruction limit
% 0.17/0.50 % (4178981)Termination phase: Saturation
% 0.17/0.50 % (4178981)Time elapsed: 0.041 s
% 0.17/0.50 % (4178981)Peak memory usage: 13 MB
% 0.17/0.50 % (4178981)Instructions burned: 131 (million)
% 0.17/0.50 % (4178978) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4178960-4178978"...
% 0.17/0.50 % (4178978)...printing done.
% 0.17/0.50 % (4178978)Refutation found. Thanks to Tanya!
% 0.17/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.50 % (4178978)------------------------------
% 0.17/0.50 % (4178978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.50 % (4178978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.50 % (4178978)CaDiCaL version: 2.1.3
% 0.17/0.50 % (4178978)Termination reason: Refutation
% 0.17/0.50 % (4178978)Time elapsed: 0.048 s
% 0.17/0.50 % (4178978)Peak memory usage: 12 MB
% 0.17/0.50 % (4178978)Instructions burned: 85 (million)
% 0.17/0.50 % (4178960)Success in time 0.087 s
% 0.17/0.50 % Vampire exiting
%------------------------------------------------------------------------------