%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : BOO009-2 : 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 : n026.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 09:36:07 AM UTC 2026
% Result : Unsatisfiable 0.21s 0.28s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 29 ( 29 unt; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 42 ( 42 !; 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(f2,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/BOO003-0.ax',distributivity1) ).
fof(f4,axiom,
! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',distributivity2) ).
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(f8,axiom,
! [X0] : add(inverse(X0),X0) = multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',additive_inverse2) ).
fof(f9,plain,
! [X0] : multiplicative_identity = add(inverse(X0),X0),
inference(reorient_equations,[],[f8]) ).
fof(f10,axiom,
! [X0] : multiply(X0,inverse(X0)) = additive_identity,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',multiplicative_inverse1) ).
fof(f13,axiom,
! [X0] : multiply(X0,multiplicative_identity) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/BOO003-0.ax',multiplicative_id1) ).
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,negated_conjecture,
multiply(a,add(a,b)) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_operation) ).
fof(f18,plain,
a != multiply(a,add(a,b)),
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(f88,plain,
! [X0] : add(X0,additive_identity) = add(X0,X0),
inference(superposition,[],[f82,f10]) ).
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(f102,plain,
! [X0] : add(X0,X0) = X0,
inference(forward_demodulation,[],[f88,f15]) ).
fof(f161,plain,
! [X0,X1] : multiply(add(multiplicative_identity,X1),X0) = add(X0,multiply(X1,X0)),
inference(superposition,[],[f5,f14]) ).
fof(f182,plain,
! [X0,X1] : multiply(multiplicative_identity,X0) = add(X0,multiply(X1,X0)),
inference(forward_demodulation,[],[f161,f100]) ).
fof(f189,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = X0,
inference(forward_demodulation,[],[f182,f14]) ).
fof(f194,plain,
! [X0,X1] : multiply(add(X0,X1),X0) = add(X0,multiply(X1,X0)),
inference(superposition,[],[f4,f102]) ).
fof(f201,plain,
! [X0,X1] : multiply(add(X0,X1),X0) = X0,
inference(forward_demodulation,[],[f194,f189]) ).
fof(f203,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = X0,
inference(forward_demodulation,[],[f201,f2]) ).
fof(f483,plain,
a != a,
inference(superposition,[],[f18,f203]) ).
fof(f484,plain,
$false,
inference(trivial_inequality_removal,[],[f483]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO009-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n026.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 21:06:27 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24 Running first-order model finding
% 0.09/0.24 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
% 0.21/0.28 % (74065)Will run a generic schedule for satisfiability detection.
% 0.21/0.28 % (74080)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3026782054:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.28 % (74075)% WARNING: option uhcvi not known.
% 0.21/0.28 % (74074)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2497960411_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.28 % (74075)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=40772237:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.28 % (74076)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2685949848:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.28 % (74078)dis+10_1_sil=32000:sp=arity:random_seed=3707949806:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.28 % (74079)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=228190038:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.28 % (74081)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=221261087:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.28 % TRYING [1]
% 0.21/0.28 % TRYING [2]
% 0.21/0.28 % TRYING [3]
% 0.21/0.28 % TRYING [4]
% 0.21/0.28 % (74079) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-74065-74079"...
% 0.21/0.28 % (74079)...printing done.
% 0.21/0.28 % (74079)Refutation found. Thanks to Tanya!
% 0.21/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.28 % (74079)------------------------------
% 0.21/0.28 % (74079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (74079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (74079)CaDiCaL version: 2.1.3
% 0.21/0.28 % (74079)Termination reason: Refutation
% 0.21/0.28 % (74079)Time elapsed: 0.011 s
% 0.21/0.28 % (74079)Peak memory usage: 11 MB
% 0.21/0.28 % (74079)Instructions burned: 17 (million)
% 0.21/0.28 % (74065)Success in time 0.037 s
% 0.21/0.28 % Vampire exiting
%------------------------------------------------------------------------------