%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : BOO001-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 09:36:04 AM UTC 2026
% Result : Unsatisfiable 0.20s 0.31s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 11 unt; 0 def)
% Number of atoms : 11 ( 10 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-3 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X4] : multiply(multiply(X0,X1,X2),X3,multiply(X0,X1,X4)) = multiply(X0,X1,multiply(X2,X3,X4)),
file('/export/starexec/sandbox/benchmark/Axioms/BOO001-0.ax',associativity) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/BOO001-0.ax',ternary_multiply_1) ).
fof(f5,axiom,
! [X0,X1] : multiply(X0,X1,inverse(X1)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/BOO001-0.ax',right_inverse) ).
fof(f6,negated_conjecture,
inverse(inverse(a)) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse_is_self_cancelling) ).
fof(f7,plain,
a != inverse(inverse(a)),
inference(reorient_equations,[],[f6]) ).
fof(f8,plain,
! [X2,X3,X0,X1] : multiply(X1,X0,multiply(X0,X2,X3)) = multiply(X0,X2,multiply(X1,X0,X3)),
inference(superposition,[],[f1,f2]) ).
fof(f33,plain,
! [X2,X0,X1] : multiply(X1,X2,X0) = multiply(X2,X0,multiply(X1,X2,X0)),
inference(superposition,[],[f8,f2]) ).
fof(f166,plain,
! [X0,X1] : multiply(X1,inverse(X1),X0) = X0,
inference(superposition,[],[f33,f5]) ).
fof(f230,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f166,f5]) ).
fof(f255,plain,
a != a,
inference(superposition,[],[f7,f230]) ).
fof(f260,plain,
$false,
inference(trivial_inequality_removal,[],[f255]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 % Computer : n010.cluster.edu
% 0.10/0.23 % Model : x86_64 x86_64
% 0.10/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23 % Memory : 8046.5625MB
% 0.10/0.23 % OS : Linux 6.8.0-71-generic
% 0.10/0.23 % CPULimit : 300
% 0.10/0.23 % WCLimit : 300
% 0.10/0.23 % DateTime : Mon Sep 28 21:03:03 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.20/0.27 Running first-order model finding
% 0.20/0.27 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
% 0.20/0.31 % (2330748)Will run a generic schedule for satisfiability detection.
% 0.20/0.31 % (2330756)dis+10_1_sil=32000:sp=arity:random_seed=4102787740:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.31 % (2330754)% WARNING: option uhcvi not known.
% 0.20/0.31 % (2330756) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2330748-2330756"...
% 0.20/0.31 % (2330756)...printing done.
% 0.20/0.31 % (2330756)Refutation found. Thanks to Tanya!
% 0.20/0.31 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.31 % (2330756)------------------------------
% 0.20/0.31 % (2330756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.31 % (2330756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.31 % (2330756)CaDiCaL version: 2.1.3
% 0.20/0.31 % (2330756)Termination reason: Refutation
% 0.20/0.31 % (2330756)Time elapsed: 0.005 s
% 0.20/0.31 % (2330756)Peak memory usage: 11 MB
% 0.20/0.31 % (2330756)Instructions burned: 12 (million)
% 0.20/0.31 % (2330748)Success in time 0.031 s
% 0.20/0.31 % Vampire exiting
%------------------------------------------------------------------------------