%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : BOO021-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 09:36:12 AM UTC 2026
% Result : Unsatisfiable 0.24s 0.34s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : multiply(add(X0,X1),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_add) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X1,X0),multiply(X2,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_add_property) ).
fof(f4,axiom,
! [X0,X1] : add(multiply(X0,X1),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_multiply) ).
fof(f7,negated_conjecture,
multiply(b,a) != multiply(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_commutativity_of_multiply) ).
fof(f10,plain,
! [X0] : add(X0,X0) = X0,
inference(superposition,[],[f4,f1]) ).
fof(f20,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,add(X0,X0)),
inference(superposition,[],[f2,f10]) ).
fof(f21,plain,
! [X0,X1] : multiply(X1,X0) = multiply(X0,X1),
inference(forward_demodulation,[],[f20,f10]) ).
fof(f379,plain,
multiply(b,a) != multiply(b,a),
inference(superposition,[],[f7,f21]) ).
fof(f380,plain,
$false,
inference(trivial_inequality_removal,[],[f379]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : BOO021-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.23 % Computer : n013.cluster.edu
% 0.11/0.23 % Model : x86_64 x86_64
% 0.11/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.23 % Memory : 8046.5625MB
% 0.11/0.23 % OS : Linux 6.8.0-71-generic
% 0.11/0.24 % CPULimit : 300
% 0.11/0.24 % WCLimit : 300
% 0.11/0.24 % DateTime : Mon Sep 28 21:03:52 UTC 2026
% 0.11/0.24 % CPUTime :
% 0.11/0.24 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.29 Running first-order model finding
% 0.24/0.29 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
% 0.24/0.34 % (1579232)Will run a generic schedule for satisfiability detection.
% 0.24/0.34 % (1579240)dis+10_1_sil=32000:sp=arity:random_seed=1944786926:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.24/0.34 % (1579241)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3846831164:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.24/0.34 % (1579238)% WARNING: option uhcvi not known.
% 0.24/0.34 % (1579237)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3947670565_3000 on theBenchmark for (3000ds/0Mi)
% 0.24/0.34 % (1579243)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1274191853:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.24/0.34 % (1579239)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2040282246:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.24/0.34 % (1579238)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2656242340:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.24/0.34 % (1579241) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1579232-1579241"...
% 0.24/0.34 % (1579242)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=349520469:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.24/0.34 % TRYING [1]
% 0.24/0.34 % TRYING [2]
% 0.24/0.34 % (1579241)...printing done.
% 0.24/0.34 % TRYING [3]
% 0.24/0.34 % (1579241)Refutation found. Thanks to Tanya!
% 0.24/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.24/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.34 % (1579241)------------------------------
% 0.24/0.34 % (1579241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.34 % (1579241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.34 % (1579241)CaDiCaL version: 2.1.3
% 0.24/0.34 % (1579241)Termination reason: Refutation
% 0.24/0.34 % (1579241)Time elapsed: 0.011 s
% 0.24/0.34 % (1579241)Peak memory usage: 12 MB
% 0.24/0.34 % (1579241)Instructions burned: 14 (million)
% 0.24/0.34 % (1579232)Success in time 0.038 s
% 0.24/0.34 % Vampire exiting
%------------------------------------------------------------------------------