%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : BOO003-1 : 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 : n008.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 0.75s 0.43s
% Output : Refutation 0.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 16 ( 10 unt; 0 def)
% Number of atoms : 29 ( 3 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 27 ( 14 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',closure_of_multiplication) ).
fof(f5,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',additive_identity1) ).
fof(f8,axiom,
! [X0] : product(X0,multiplicative_identity,X0),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',multiplicative_identity2) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X5,X6)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| ~ product(X0,X1,X2)
| sum(X2,X4,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',distributivity1) ).
fof(f17,axiom,
! [X0] : sum(inverse(X0),X0,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',additive_inverse1) ).
fof(f20,axiom,
! [X0] : product(X0,inverse(X0),additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',multiplicative_inverse2) ).
fof(f21,axiom,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,X3)
| ~ sum(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',addition_is_well_defined) ).
fof(f23,negated_conjecture,
~ product(x,x,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_both_equalities) ).
fof(f36,plain,
! [X0,X1] :
( ~ sum(additive_identity,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f21,f5]) ).
fof(f58,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X3,X4)
| ~ sum(X3,X1,multiplicative_identity)
| ~ product(X0,X1,X2)
| sum(X4,X2,X0) ),
inference(resolution,[],[f9,f8]) ).
fof(f203,plain,
! [X2,X0,X1] :
( ~ sum(inverse(X0),X1,multiplicative_identity)
| ~ product(X0,X1,X2)
| sum(additive_identity,X2,X0) ),
inference(resolution,[],[f58,f20]) ).
fof(f1405,plain,
! [X0,X1] :
( ~ product(X0,X0,X1)
| sum(additive_identity,X1,X0) ),
inference(resolution,[],[f203,f17]) ).
fof(f1978,plain,
! [X0] : sum(additive_identity,multiply(X0,X0),X0),
inference(resolution,[],[f1405,f2]) ).
fof(f2002,plain,
! [X0] : multiply(X0,X0) = X0,
inference(resolution,[],[f1978,f36]) ).
fof(f2033,plain,
! [X0] : product(X0,X0,X0),
inference(superposition,[],[f2,f2002]) ).
fof(f2117,plain,
$false,
inference(resolution,[],[f2033,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.25 % Computer : n008.cluster.edu
% 0.11/0.25 % Model : x86_64 x86_64
% 0.11/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.25 % Memory : 8046.5625MB
% 0.11/0.25 % OS : Linux 6.8.0-71-generic
% 0.11/0.25 % CPULimit : 300
% 0.11/0.25 % WCLimit : 300
% 0.11/0.25 % DateTime : Mon Sep 28 21:03:39 UTC 2026
% 0.11/0.25 % CPUTime :
% 0.11/0.25 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.26/0.29 Running first-order model finding
% 0.26/0.29 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
% 0.75/0.43 % (2646173)Will run a generic schedule for satisfiability detection.
% 0.75/0.43 % (2646179)% WARNING: option uhcvi not known.
% 0.75/0.43 % (2646179)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1644553905:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.75/0.43 % (2646184)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1225486815:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.75/0.43 % (2646182)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1187785319:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.75/0.43 % (2646181)dis+10_1_sil=32000:sp=arity:random_seed=3696233068:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.75/0.43 % (2646178)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=368895377_2999 on theBenchmark for (2999ds/0Mi)
% 0.75/0.43 % (2646183)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2844107798:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.75/0.43 % (2646180)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=845630834:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.75/0.43 % TRYING [1]
% 0.75/0.43 % TRYING [2]
% 0.75/0.43 % TRYING [3]
% 0.75/0.43 % TRYING [4]
% 0.75/0.43 % TRYING [5]
% 0.75/0.43 % (2646181) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2646173-2646181"...
% 0.75/0.43 % (2646181)...printing done.
% 0.75/0.43 % (2646181)Refutation found. Thanks to Tanya!
% 0.75/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.75/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.75/0.43 % (2646181)------------------------------
% 0.75/0.43 % (2646181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.43 % (2646181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.43 % (2646181)CaDiCaL version: 2.1.3
% 0.75/0.43 % (2646181)Termination reason: Refutation
% 0.75/0.43 % (2646181)Time elapsed: 0.085 s
% 0.75/0.43 % (2646181)Peak memory usage: 12 MB
% 0.75/0.43 % (2646181)Instructions burned: 87 (million)
% 0.75/0.43 % (2646173)Success in time 0.123 s
% 0.75/0.43 % Vampire exiting
%------------------------------------------------------------------------------