%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP520-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 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 10:18:01 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.46s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,multiply(multiply(inverse(multiply(X0,X1)),X2),X1)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_4) ).
fof(f3,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(multiply(inverse(X0),X3),multiply(multiply(inverse(multiply(X1,X2)),X0),X2))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f4,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),X0),X3) = multiply(X1,multiply(X0,X2)),
inference(superposition,[],[f1,f1]) ).
fof(f11,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(superposition,[],[f3,f1]) ).
fof(f22,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X2)),multiply(X0,multiply(X1,X2))) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f50,plain,
! [X2,X0,X1] : multiply(X1,multiply(X0,X2)) = multiply(X0,multiply(X1,X2)),
inference(superposition,[],[f11,f22]) ).
fof(f65,plain,
! [X2,X0,X1] : multiply(X1,X0) = multiply(multiply(inverse(X2),X0),multiply(X1,X2)),
inference(superposition,[],[f50,f11]) ).
fof(f213,plain,
! [X2,X0,X1] : multiply(inverse(multiply(multiply(inverse(X2),X1),X2)),multiply(X0,X1)) = X0,
inference(superposition,[],[f22,f65]) ).
fof(f226,plain,
! [X0,X1] : multiply(inverse(X1),multiply(X0,X1)) = X0,
inference(forward_demodulation,[],[f213,f11]) ).
fof(f246,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X1),X1)) = X0,
inference(superposition,[],[f226,f50]) ).
fof(f299,plain,
! [X2,X0,X1] : multiply(X1,X0) = multiply(X0,multiply(X1,multiply(inverse(X2),X2))),
inference(superposition,[],[f50,f246]) ).
fof(f321,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[],[f299,f246]) ).
fof(f412,plain,
multiply(a,b) != multiply(a,b),
inference(superposition,[],[f2,f321]) ).
fof(f413,plain,
$false,
inference(trivial_inequality_removal,[],[f412]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP520-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n013.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 10:06:22 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.41 Running first-order model finding
% 0.15/0.41 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
% 0.15/0.46 % (4178082)Will run a generic schedule for satisfiability detection.
% 0.15/0.46 % (4178090)dis+10_1_sil=32000:sp=arity:random_seed=616237357:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.15/0.46 % (4178088)% WARNING: option uhcvi not known.
% 0.15/0.46 % (4178088)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2402256138:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.15/0.46 % (4178087)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=281427378_3000 on theBenchmark for (3000ds/0Mi)
% 0.15/0.46 % (4178091)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1757903903:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.15/0.46 % (4178092)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2507096346:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.15/0.46 % (4178093)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1623345903:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.15/0.46 % (4178089)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1177754071:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.15/0.46 % (4178090) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4178082-4178090"...
% 0.15/0.46 % TRYING [1]
% 0.15/0.46 % TRYING [2]
% 0.15/0.46 % TRYING [3]
% 0.15/0.46 % (4178090)...printing done.
% 0.15/0.46 % (4178090)Refutation found. Thanks to Tanya!
% 0.15/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.46 % (4178090)------------------------------
% 0.15/0.46 % (4178090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.46 % (4178090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.46 % (4178090)CaDiCaL version: 2.1.3
% 0.15/0.46 % (4178090)Termination reason: Refutation
% 0.15/0.46 % (4178090)Time elapsed: 0.011 s
% 0.15/0.46 % (4178090)Peak memory usage: 11 MB
% 0.15/0.46 % (4178090)Instructions burned: 20 (million)
% 0.15/0.46 % (4178082)Success in time 0.035 s
% 0.15/0.46 % Vampire exiting
%------------------------------------------------------------------------------