%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : BOO012-2 : 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 : n012.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 09:36:08 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.16s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 36 ( 36 unt; 0 def)
% Number of atoms : 36 ( 35 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 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 : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',commutativity_of_add) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',commutativity_of_multiply) ).
fof(f3,axiom,
! [X2,X0,X1] : add(multiply(X0,X1),X2) = multiply(add(X0,X2),add(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',distributivity1) ).
fof(f5,axiom,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',distributivity3) ).
fof(f7,axiom,
! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',additive_inverse1) ).
fof(f8,axiom,
! [X0] : add(inverse(X0),X0) = multiplicative_identity,
file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',additive_inverse2) ).
fof(f9,plain,
! [X0] : multiplicative_identity = add(inverse(X0),X0),
inference(reorient_equations,[],[f8]) ).
fof(f11,axiom,
! [X0] : multiply(inverse(X0),X0) = additive_identity,
file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',multiplicative_inverse2) ).
fof(f12,plain,
! [X0] : additive_identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f11]) ).
fof(f13,axiom,
! [X0] : multiply(X0,multiplicative_identity) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',multiplicative_id1) ).
fof(f14,axiom,
! [X0] : multiply(multiplicative_identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',multiplicative_id2) ).
fof(f15,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',additive_id1) ).
fof(f17,negated_conjecture,
inverse(inverse(x)) != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse_is_an_involution) ).
fof(f18,plain,
x != inverse(inverse(x)),
inference(reorient_equations,[],[f17]) ).
fof(f70,plain,
! [X0,X1] : add(multiply(X0,inverse(X1)),X1) = multiply(add(X0,X1),multiplicative_identity),
inference(superposition,[],[f3,f9]) ).
fof(f75,plain,
! [X0,X1] : add(X0,X1) = add(multiply(X0,inverse(X1)),X1),
inference(forward_demodulation,[],[f70,f13]) ).
fof(f82,plain,
! [X0,X1] : add(X0,X1) = add(X1,multiply(X0,inverse(X1))),
inference(forward_demodulation,[],[f75,f1]) ).
fof(f91,plain,
! [X0] : add(X0,additive_identity) = add(inverse(inverse(X0)),X0),
inference(superposition,[],[f82,f12]) ).
fof(f92,plain,
! [X0] : add(X0,inverse(X0)) = add(multiplicative_identity,X0),
inference(superposition,[],[f82,f14]) ).
fof(f100,plain,
! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
inference(forward_demodulation,[],[f92,f7]) ).
fof(f101,plain,
! [X0] : add(X0,additive_identity) = add(X0,inverse(inverse(X0))),
inference(forward_demodulation,[],[f91,f1]) ).
fof(f106,plain,
! [X0] : add(X0,inverse(inverse(X0))) = X0,
inference(forward_demodulation,[],[f101,f15]) ).
fof(f161,plain,
! [X0,X1] : multiply(add(multiplicative_identity,X1),X0) = add(X0,multiply(X1,X0)),
inference(superposition,[],[f5,f14]) ).
fof(f168,plain,
! [X0,X1] : add(multiply(X0,X1),additive_identity) = multiply(add(X0,inverse(X1)),X1),
inference(superposition,[],[f5,f12]) ).
fof(f179,plain,
! [X0,X1] : add(multiply(X0,X1),additive_identity) = multiply(X1,add(X0,inverse(X1))),
inference(forward_demodulation,[],[f168,f2]) ).
fof(f182,plain,
! [X0,X1] : multiply(multiplicative_identity,X0) = add(X0,multiply(X1,X0)),
inference(forward_demodulation,[],[f161,f100]) ).
fof(f187,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,add(X0,inverse(X1))),
inference(forward_demodulation,[],[f179,f15]) ).
fof(f189,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = X0,
inference(forward_demodulation,[],[f182,f14]) ).
fof(f508,plain,
! [X0] : multiply(X0,multiplicative_identity) = multiply(inverse(inverse(X0)),X0),
inference(superposition,[],[f187,f9]) ).
fof(f538,plain,
! [X0] : multiply(X0,multiplicative_identity) = multiply(X0,inverse(inverse(X0))),
inference(forward_demodulation,[],[f508,f2]) ).
fof(f547,plain,
! [X0] : multiply(X0,inverse(inverse(X0))) = X0,
inference(forward_demodulation,[],[f538,f13]) ).
fof(f644,plain,
! [X0] : inverse(inverse(X0)) = add(inverse(inverse(X0)),X0),
inference(superposition,[],[f189,f547]) ).
fof(f652,plain,
! [X0] : inverse(inverse(X0)) = add(X0,inverse(inverse(X0))),
inference(forward_demodulation,[],[f644,f1]) ).
fof(f660,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f652,f106]) ).
fof(f784,plain,
x != x,
inference(superposition,[],[f18,f660]) ).
fof(f798,plain,
$false,
inference(trivial_inequality_removal,[],[f784]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : BOO012-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 21:03:34 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.12 Running first-order model finding
% 0.09/0.12 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
% 0.09/0.16 % (3763840)Will run a generic schedule for satisfiability detection.
% 0.09/0.16 % (3763852)% WARNING: option uhcvi not known.
% 0.09/0.16 % (3763852)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2707567670:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.16 % (3763851)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2815999124_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.16 % (3763854)dis+10_1_sil=32000:sp=arity:random_seed=1645321555:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.16 % (3763856)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=734553921:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.16 % TRYING [1]
% 0.09/0.16 % (3763855)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=294232898:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.16 % TRYING [2]
% 0.09/0.16 % TRYING [3]
% 0.09/0.16 % (3763857)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2058625384:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.16 % TRYING [4]
% 0.09/0.16 % (3763853)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4066498482:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.16 % (3763855) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3763840-3763855"...
% 0.09/0.16 % (3763856) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3763840-3763856"...
% 0.09/0.16 % (3763855)...printing done.
% 0.09/0.16 % (3763856)...printing done.
% 0.09/0.16 % (3763855)Refutation found. Thanks to Tanya!
% 0.09/0.16 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.16 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.16 % (3763855)------------------------------
% 0.09/0.16 % (3763855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.16 % (3763855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.16 % (3763855)CaDiCaL version: 2.1.3
% 0.09/0.16 % (3763855)Termination reason: Refutation
% 0.09/0.16 % (3763855)Time elapsed: 0.009 s
% 0.09/0.16 % (3763855)Peak memory usage: 11 MB
% 0.09/0.16 % (3763855)Instructions burned: 26 (million)
% 0.09/0.16 % (3763840)Success in time 0.032 s
% 0.09/0.16 % Vampire exiting
%------------------------------------------------------------------------------