%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP530-1 : 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 : n016.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 10:18:02 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.44s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 18 unt; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(X0,divide(X1,X2)),divide(X0,X1)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f4,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f5,plain,
a2 != multiply(multiply(inverse(b2),b2),a2),
inference(reorient_equations,[],[f4]) ).
fof(f6,plain,
! [X2,X0,X1] : divide(divide(X2,X2),X1) = divide(divide(X0,X0),X1),
inference(superposition,[],[f3,f3]) ).
fof(f9,plain,
! [X2,X0,X1] : divide(divide(X1,inverse(X0)),divide(X1,divide(X2,X2))) = X0,
inference(superposition,[],[f1,f3]) ).
fof(f12,plain,
! [X2,X0,X1] : divide(X0,divide(divide(X1,divide(X2,X0)),X1)) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f16,plain,
! [X0,X1] : divide(X1,inverse(X0)) = multiply(X1,X0),
inference(superposition,[],[f2,f3]) ).
fof(f20,plain,
! [X0] : a2 != divide(multiply(inverse(b2),b2),divide(divide(X0,X0),a2)),
inference(superposition,[],[f5,f2]) ).
fof(f47,plain,
! [X0] : a2 != divide(divide(inverse(b2),inverse(b2)),divide(divide(X0,X0),a2)),
inference(superposition,[],[f20,f16]) ).
fof(f88,plain,
! [X2,X0,X1] : divide(divide(X0,X0),divide(divide(X1,X2),X1)) = X2,
inference(superposition,[],[f1,f6]) ).
fof(f130,plain,
! [X2,X3,X0,X1] : divide(divide(X3,X3),divide(divide(X2,divide(X0,divide(X1,X1))),X2)) = X0,
inference(superposition,[],[f6,f12]) ).
fof(f131,plain,
! [X0,X1] : divide(X0,divide(X1,X1)) = X0,
inference(forward_demodulation,[],[f130,f88]) ).
fof(f201,plain,
! [X2,X0,X1] : divide(divide(X2,X2),divide(inverse(X0),divide(X1,X1))) = X0,
inference(superposition,[],[f6,f9]) ).
fof(f211,plain,
! [X2,X0] : divide(divide(X2,X2),inverse(X0)) = X0,
inference(forward_demodulation,[],[f201,f131]) ).
fof(f233,plain,
a2 != divide(divide(inverse(b2),inverse(b2)),inverse(a2)),
inference(superposition,[],[f47,f3]) ).
fof(f237,plain,
$false,
inference(forward_subsumption_resolution,[],[f233,f211]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP530-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n016.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 10:11:32 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 Running first-order model finding
% 0.13/0.41 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
% 0.13/0.44 % (2399587)Will run a generic schedule for satisfiability detection.
% 0.13/0.44 % (2399597)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3271690611:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.13/0.44 % (2399597) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2399587-2399597"...
% 0.13/0.44 % (2399597)...printing done.
% 0.13/0.44 % (2399597)Refutation found. Thanks to Tanya!
% 0.13/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.44 % (2399597)------------------------------
% 0.13/0.44 % (2399597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.44 % (2399597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.44 % (2399597)CaDiCaL version: 2.1.3
% 0.13/0.44 % (2399597)Termination reason: Refutation
% 0.13/0.44 % (2399597)Time elapsed: 0.005 s
% 0.13/0.44 % (2399597)Peak memory usage: 11 MB
% 0.13/0.44 % (2399597)Instructions burned: 12 (million)
% 0.13/0.44 % (2399587)Success in time 0.02 s
% 0.13/0.44 % Vampire exiting
%------------------------------------------------------------------------------