%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : BOO013-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 09:36:09 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.15s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 26 unt; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',commutativity_of_add) ).
fof(f3,axiom,
! [X2,X0,X1] : add(multiply(X0,X1),X2) = multiply(add(X0,X2),add(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',distributivity1) ).
fof(f14,axiom,
! [X0] : multiply(multiplicative_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',multiplicative_id2) ).
fof(f15,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',additive_id1) ).
fof(f17,axiom,
add(a,b) = multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_and_multiplicative_identity) ).
fof(f18,plain,
multiplicative_identity = add(a,b),
inference(reorient_equations,[],[f17]) ).
fof(f19,axiom,
add(a,c) = multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_and_multiplicative_identity) ).
fof(f20,plain,
multiplicative_identity = add(a,c),
inference(reorient_equations,[],[f19]) ).
fof(f21,axiom,
multiply(a,b) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_a_additive_identity) ).
fof(f22,plain,
additive_identity = multiply(a,b),
inference(reorient_equations,[],[f21]) ).
fof(f23,axiom,
multiply(a,c) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_a_additive_identity) ).
fof(f24,plain,
additive_identity = multiply(a,c),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
b != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_is_a) ).
fof(f72,plain,
! [X0] : add(multiply(a,X0),b) = multiply(multiplicative_identity,add(X0,b)),
inference(superposition,[],[f3,f18]) ).
fof(f73,plain,
! [X0] : add(multiply(a,X0),c) = multiply(multiplicative_identity,add(X0,c)),
inference(superposition,[],[f3,f20]) ).
fof(f92,plain,
! [X0] : add(multiply(a,X0),c) = add(X0,c),
inference(forward_demodulation,[],[f73,f14]) ).
fof(f93,plain,
! [X0] : add(multiply(a,X0),b) = add(X0,b),
inference(forward_demodulation,[],[f72,f14]) ).
fof(f101,plain,
! [X0] : add(X0,c) = add(c,multiply(a,X0)),
inference(forward_demodulation,[],[f92,f1]) ).
fof(f102,plain,
! [X0] : add(X0,b) = add(b,multiply(a,X0)),
inference(forward_demodulation,[],[f93,f1]) ).
fof(f153,plain,
add(c,additive_identity) = add(b,c),
inference(superposition,[],[f101,f22]) ).
fof(f165,plain,
c = add(b,c),
inference(forward_demodulation,[],[f153,f15]) ).
fof(f179,plain,
add(b,additive_identity) = add(c,b),
inference(superposition,[],[f102,f24]) ).
fof(f189,plain,
add(b,additive_identity) = add(b,c),
inference(forward_demodulation,[],[f179,f1]) ).
fof(f193,plain,
c = add(b,additive_identity),
inference(forward_demodulation,[],[f189,f165]) ).
fof(f194,plain,
b = c,
inference(forward_demodulation,[],[f193,f15]) ).
fof(f195,plain,
$false,
inference(forward_subsumption_resolution,[],[f194,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : BOO013-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % 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/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.13 Running first-order model finding
% 0.09/0.13 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
% 0.09/0.15 % (3763879)Will run a generic schedule for satisfiability detection.
% 0.09/0.15 % (3763885)% WARNING: option uhcvi not known.
% 0.09/0.15 % (3763884)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2882450823_3000 on theBenchmark for (3000ds/0Mi)
% 0.09/0.15 % (3763885)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1587184140:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.09/0.15 % (3763886)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2777983999:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.09/0.15 % (3763887)dis+10_1_sil=32000:sp=arity:random_seed=3977101412:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.09/0.15 % (3763888)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=636607319:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.09/0.15 % (3763889)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3507712122:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.09/0.15 % (3763890)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=391997734:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.09/0.15 % TRYING [1]
% 0.09/0.15 % TRYING [2]
% 0.09/0.15 % TRYING [3]
% 0.09/0.15 % (3763886) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3763879-3763886"...
% 0.09/0.15 % (3763886)...printing done.
% 0.09/0.15 % TRYING [4]
% 0.09/0.15 % (3763886)Refutation found. Thanks to Tanya!
% 0.09/0.15 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.15 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.15 % (3763886)------------------------------
% 0.09/0.15 % (3763886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.15 % (3763886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.15 % (3763886)CaDiCaL version: 2.1.3
% 0.09/0.15 % (3763886)Termination reason: Refutation
% 0.09/0.15 % (3763886)Time elapsed: 0.003 s
% 0.09/0.15 % (3763886)Peak memory usage: 11 MB
% 0.09/0.15 % (3763886)Instructions burned: 8 (million)
% 0.09/0.15 % (3763879)Success in time 0.015 s
% 0.09/0.15 % Vampire exiting
%------------------------------------------------------------------------------