%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP511-1 : 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 : n006.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 10:17:59 AM UTC 2026
% Result : Unsatisfiable 0.17s 5.67s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 15 unt; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : multiply(multiply(multiply(X0,X1),X2),inverse(multiply(X0,X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f3,plain,
! [X2,X3,X0,X1] : inverse(multiply(X1,X2)) = multiply(multiply(X0,X3),inverse(multiply(multiply(multiply(X1,X0),X2),X3))),
inference(superposition,[],[f1,f1]) ).
fof(f4,plain,
! [X2,X0,X1] : multiply(X0,inverse(multiply(multiply(X1,X0),inverse(multiply(X1,X2))))) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f22,plain,
! [X2,X0,X1] : inverse(multiply(X1,X2)) = multiply(multiply(X0,inverse(multiply(X1,X2))),inverse(X0)),
inference(superposition,[],[f3,f1]) ).
fof(f25,plain,
! [X2,X0,X1] : inverse(multiply(X1,multiply(X2,inverse(multiply(multiply(X1,X2),X0))))) = X0,
inference(superposition,[],[f3,f4]) ).
fof(f39,plain,
! [X2,X0,X1] : inverse(multiply(multiply(X0,X1),inverse(multiply(X0,multiply(X1,X2))))) = X2,
inference(superposition,[],[f25,f3]) ).
fof(f56,plain,
! [X3,X0] : multiply(multiply(X3,X0),inverse(X3)) = X0,
inference(superposition,[],[f22,f25]) ).
fof(f86,plain,
! [X0,X1] : multiply(X0,inverse(multiply(X1,inverse(X1)))) = X0,
inference(superposition,[],[f1,f56]) ).
fof(f163,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X1)),X0) = X0,
inference(superposition,[],[f86,f56]) ).
fof(f223,plain,
! [X2,X0,X1] : multiply(X1,inverse(multiply(multiply(multiply(X2,inverse(X2)),X1),inverse(X0)))) = X0,
inference(superposition,[],[f4,f163]) ).
fof(f243,plain,
! [X0,X1] : multiply(X1,inverse(multiply(X1,inverse(X0)))) = X0,
inference(forward_demodulation,[],[f223,f163]) ).
fof(f863,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),X0) = multiply(X1,multiply(X2,X0)),
inference(superposition,[],[f243,f39]) ).
fof(f2530,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f2,f863]) ).
fof(f2578,plain,
$false,
inference(trivial_inequality_removal,[],[f2530]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP511-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/5.53 % Computer : n006.cluster.edu
% 0.14/5.53 % Model : x86_64 x86_64
% 0.14/5.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/5.53 % Memory : 8046.5625MB
% 0.14/5.53 % OS : Linux 6.8.0-71-generic
% 0.14/5.53 % CPULimit : 300
% 0.14/5.53 % WCLimit : 300
% 0.14/5.53 % DateTime : Sun Sep 27 10:06:03 UTC 2026
% 0.14/5.54 % CPUTime :
% 0.14/5.54 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/5.57 Running first-order model finding
% 0.14/5.57 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
% 0.17/5.67 % (2753929)Will run a generic schedule for satisfiability detection.
% 0.17/5.67 % (2753938)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=389951746:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/5.67 % (2753935)% WARNING: option uhcvi not known.
% 0.17/5.67 % (2753934)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3548953179_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/5.67 % (2753939)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3307759203:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/5.67 % (2753936)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1071007066:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/5.67 % (2753937)dis+10_1_sil=32000:sp=arity:random_seed=1503670244:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/5.67 % (2753935)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2627100833:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/5.67 % (2753940)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2351233971:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/5.67 % TRYING [1]
% 0.17/5.67 % TRYING [2]
% 0.17/5.67 % TRYING [3]
% 0.17/5.67 % TRYING [4]
% 0.17/5.67 % TRYING [5]
% 0.17/5.67 % (2753938)Instruction limit reached!
% 0.17/5.67 % (2753938)------------------------------
% 0.17/5.67 % (2753938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/5.67 % (2753938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/5.67 % (2753938)CaDiCaL version: 2.1.3
% 0.17/5.67 % (2753938)Termination reason: Instruction limit
% 0.17/5.67 % (2753938)Termination phase: Saturation
% 0.17/5.67 % (2753938)Time elapsed: 0.039 s
% 0.17/5.67 % (2753938)Peak memory usage: 13 MB
% 0.17/5.67 % (2753938)Instructions burned: 119 (million)
% 0.17/5.67 % (2753948)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1987343115:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.17/5.67 % TRYING [1]
% 0.17/5.67 % TRYING [2]
% 0.17/5.67 % TRYING [3]
% 0.17/5.67 % TRYING [4]
% 0.17/5.67 % (2753936) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2753929-2753936"...
% 0.17/5.67 % (2753937)Instruction limit reached!
% 0.17/5.67 % (2753937)------------------------------
% 0.17/5.67 % (2753937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/5.67 % (2753937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/5.67 % (2753937)CaDiCaL version: 2.1.3
% 0.17/5.67 % (2753937)Termination reason: Instruction limit
% 0.17/5.67 % (2753937)Termination phase: Saturation
% 0.17/5.67 % (2753937)Time elapsed: 0.058 s
% 0.17/5.67 % (2753937)Peak memory usage: 12 MB
% 0.17/5.67 % (2753937)Instructions burned: 104 (million)
% 0.17/5.67 % (2753936)...printing done.
% 0.17/5.67 % (2753936)Refutation found. Thanks to Tanya!
% 0.17/5.67 % SZS status Unsatisfiable for theBenchmark
% 0.17/5.67 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/5.67 % (2753936)------------------------------
% 0.17/5.67 % (2753936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/5.67 % (2753936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/5.67 % (2753936)CaDiCaL version: 2.1.3
% 0.17/5.67 % (2753936)Termination reason: Refutation
% 0.17/5.67 % (2753936)Time elapsed: 0.058 s
% 0.17/5.67 % (2753936)Peak memory usage: 12 MB
% 0.17/5.67 % (2753936)Instructions burned: 101 (million)
% 0.17/5.67 % (2753929)Success in time 0.091 s
% 0.17/5.67 % Vampire exiting
%------------------------------------------------------------------------------