%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : BOO003-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 0.26s 0.35s
% Output : Refutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 16 unt; 0 def)
% Number of atoms : 16 ( 15 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 : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',commutativity_of_multiply) ).
fof(f5,axiom,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',distributivity3) ).
fof(f7,axiom,
! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',additive_inverse1) ).
fof(f11,axiom,
! [X0] : multiply(inverse(X0),X0) = additive_identity,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/BOO003-0.ax',multiplicative_id1) ).
fof(f15,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',additive_id1) ).
fof(f17,negated_conjecture,
multiply(a,a) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_times_a_is_a) ).
fof(f18,plain,
a != multiply(a,a),
inference(reorient_equations,[],[f17]) ).
fof(f166,plain,
! [X0,X1] : add(multiply(X0,X1),additive_identity) = multiply(add(X0,inverse(X1)),X1),
inference(superposition,[],[f5,f12]) ).
fof(f177,plain,
! [X0,X1] : add(multiply(X0,X1),additive_identity) = multiply(X1,add(X0,inverse(X1))),
inference(forward_demodulation,[],[f166,f2]) ).
fof(f184,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,add(X0,inverse(X1))),
inference(forward_demodulation,[],[f177,f15]) ).
fof(f370,plain,
! [X0] : multiply(X0,multiplicative_identity) = multiply(X0,X0),
inference(superposition,[],[f184,f7]) ).
fof(f397,plain,
! [X0] : multiply(X0,X0) = X0,
inference(forward_demodulation,[],[f370,f13]) ).
fof(f417,plain,
a != a,
inference(superposition,[],[f18,f397]) ).
fof(f418,plain,
$false,
inference(trivial_inequality_removal,[],[f417]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO003-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 % Computer : n007.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Mon Sep 28 21:00:55 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.28 Running first-order model finding
% 0.10/0.28 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
% 0.26/0.35 % (2818510)Will run a generic schedule for satisfiability detection.
% 0.26/0.35 % (2818515)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3355964400_2999 on theBenchmark for (2999ds/0Mi)
% 0.26/0.35 % TRYING [1]
% 0.26/0.35 % TRYING [2]
% 0.26/0.35 % TRYING [3]
% 0.26/0.35 % (2818521)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=7696907:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.26/0.35 % (2818516)% WARNING: option uhcvi not known.
% 0.26/0.35 % TRYING [4]
% 0.26/0.35 % (2818516)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1802132312:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.26/0.35 % (2818517)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3830305479:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.26/0.35 % (2818518)dis+10_1_sil=32000:sp=arity:random_seed=939860349:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.26/0.35 % (2818520)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1865488824:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.26/0.35 % (2818519)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3226127584:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.26/0.35 % TRYING [5]
% 0.26/0.35 % (2818518) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2818510-2818518"...
% 0.26/0.35 % (2818518)...printing done.
% 0.26/0.35 % (2818518)Refutation found. Thanks to Tanya!
% 0.26/0.35 % SZS status Unsatisfiable for theBenchmark
% 0.26/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.26/0.35 % (2818518)------------------------------
% 0.26/0.35 % (2818518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.26/0.35 % (2818518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/0.35 % (2818518)CaDiCaL version: 2.1.3
% 0.26/0.35 % (2818518)Termination reason: Refutation
% 0.26/0.35 % (2818518)Time elapsed: 0.017 s
% 0.26/0.35 % (2818518)Peak memory usage: 11 MB
% 0.26/0.35 % (2818518)Instructions burned: 16 (million)
% 0.26/0.35 % (2818510)Success in time 0.057 s
% 0.26/0.35 % Vampire exiting
%------------------------------------------------------------------------------