%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : BOO005-1 : 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 : n005.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 09:36:05 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.34s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 12 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 57 ( 24 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 64 ( 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',closure_of_addition) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',commutativity_of_addition) ).
fof(f7,axiom,
! [X0] : product(multiplicative_identity,X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',multiplicative_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,X1,X2)
| ~ product(X0,X3,X4)
| ~ sum(X1,X3,X5)
| ~ product(X0,X5,X6)
| sum(X2,X4,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',distributivity1) ).
fof(f13,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| ~ product(X1,X3,X5)
| ~ sum(X0,X5,X6)
| product(X2,X4,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',distributivity5) ).
fof(f18,axiom,
! [X0] : sum(X0,inverse(X0),multiplicative_identity),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',additive_inverse2) ).
fof(f23,negated_conjecture,
~ sum(x,multiplicative_identity,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equations) ).
fof(f24,plain,
! [X0,X1] : ~ sum(X0,X1,add(X0,X1)),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f25,plain,
! [X2,X0,X1] :
( ~ sum(X1,X0,X2)
| sum(X0,X1,X2) ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f28,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X2,X4,X6)
| ~ product(X0,X3,X4)
| sum(X1,X3,X5)
| ~ product(X0,X5,X6)
| ~ product(X0,X1,X2) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f32,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X1,X3,X5)
| sum(X0,X3,X4)
| sum(X0,X1,X2)
| sum(X0,X5,X6)
| product(X2,X4,X6) ),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f37,plain,
! [X0] : ~ sum(X0,inverse(X0),multiplicative_identity),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f39,plain,
sum(x,multiplicative_identity,multiplicative_identity),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f46,plain,
sum(multiplicative_identity,x,multiplicative_identity),
inference(resolution,[],[f25,f39]) ).
fof(f73,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,X2,multiplicative_identity)
| sum(X2,X1,X3)
| ~ product(X0,X3,multiplicative_identity)
| ~ product(X0,X1,x) ),
inference(resolution,[],[f28,f46]) ).
fof(f96,plain,
! [X2,X3,X0,X1,X4] :
( sum(X0,multiplicative_identity,X1)
| sum(X0,X2,X3)
| sum(X0,X2,X4)
| product(X3,X1,X4) ),
inference(resolution,[],[f32,f8]) ).
fof(f231,plain,
! [X0,X1] :
( ~ product(multiplicative_identity,X0,x)
| ~ product(multiplicative_identity,X1,multiplicative_identity)
| sum(multiplicative_identity,X0,X1) ),
inference(resolution,[],[f73,f7]) ).
fof(f352,plain,
! [X0] :
( ~ product(multiplicative_identity,X0,multiplicative_identity)
| sum(multiplicative_identity,x,X0) ),
inference(resolution,[],[f231,f7]) ).
fof(f416,plain,
! [X2,X0,X1] :
( sum(multiplicative_identity,x,X0)
| sum(X1,multiplicative_identity,X0)
| sum(X1,X2,multiplicative_identity)
| sum(X1,X2,multiplicative_identity) ),
inference(resolution,[],[f352,f96]) ).
fof(f418,plain,
! [X2,X0,X1] :
( sum(multiplicative_identity,x,X0)
| sum(X1,multiplicative_identity,X0)
| sum(X1,X2,multiplicative_identity) ),
inference(duplicate_literal_removal,[],[f416]) ).
fof(f1625,plain,
! [X0,X1] :
( sum(multiplicative_identity,x,X1)
| sum(X0,multiplicative_identity,X1) ),
inference(resolution,[],[f418,f37]) ).
fof(f1639,plain,
! [X0] : sum(X0,multiplicative_identity,add(multiplicative_identity,x)),
inference(resolution,[],[f1625,f24]) ).
fof(f1652,plain,
! [X0] : sum(multiplicative_identity,X0,add(multiplicative_identity,x)),
inference(resolution,[],[f1639,f25]) ).
fof(f1698,plain,
$false,
inference(resolution,[],[f1652,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n005.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 21:03:01 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.18/0.34 % (1171352)Will run a generic schedule for satisfiability detection.
% 0.18/0.34 % (1171357)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1711426120_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.34 % TRYING [1]
% 0.18/0.34 % TRYING [2]
% 0.18/0.34 % TRYING [3]
% 0.18/0.34 % (1171358)% WARNING: option uhcvi not known.
% 0.18/0.34 % TRYING [4]
% 0.18/0.34 % (1171358)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1700358625:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.34 % (1171359)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4086517953:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.34 % (1171360)dis+10_1_sil=32000:sp=arity:random_seed=2468061134:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.34 % (1171361)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2372732309:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.34 % (1171362)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2032852663:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.34 % (1171363)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3358292179:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.34 % TRYING [5]
% 0.18/0.34 % (1171360)Instruction limit reached!
% 0.18/0.34 % (1171360)------------------------------
% 0.18/0.34 % (1171360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.34 % (1171360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.34 % (1171360)CaDiCaL version: 2.1.3
% 0.18/0.34 % (1171360)Termination reason: Instruction limit
% 0.18/0.34 % (1171360)Termination phase: Saturation
% 0.18/0.34 % (1171360)Time elapsed: 0.063 s
% 0.18/0.34 % (1171360)Peak memory usage: 12 MB
% 0.18/0.34 % (1171360)Instructions burned: 103 (million)
% 0.18/0.34 % (1171361)Instruction limit reached!
% 0.18/0.34 % (1171361)------------------------------
% 0.18/0.34 % (1171361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.34 % (1171361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.34 % (1171361)CaDiCaL version: 2.1.3
% 0.18/0.34 % (1171361)Termination reason: Instruction limit
% 0.18/0.34 % (1171361)Termination phase: Saturation
% 0.18/0.34 % (1171361)Time elapsed: 0.063 s
% 0.18/0.34 % (1171361)Peak memory usage: 12 MB
% 0.18/0.34 % (1171361)Instructions burned: 118 (million)
% 0.18/0.34 % TRYING [6]
% 0.18/0.34 % (1171362)Instruction limit reached!
% 0.18/0.34 % (1171362)------------------------------
% 0.18/0.34 % (1171362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.34 % (1171362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.34 % (1171362)CaDiCaL version: 2.1.3
% 0.18/0.34 % (1171362)Termination reason: Instruction limit
% 0.18/0.34 % (1171362)Termination phase: Saturation
% 0.18/0.34 % (1171362)Time elapsed: 0.080 s
% 0.18/0.34 % (1171362)Peak memory usage: 12 MB
% 0.18/0.34 % (1171362)Instructions burned: 131 (million)
% 0.18/0.34 % (1171358) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1171352-1171358"...
% 0.18/0.34 % (1171372)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1390674932:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.34 % (1171371)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2757322143:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.18/0.34 % (1171358)...printing done.
% 0.18/0.34 % (1171358)Refutation found. Thanks to Tanya!
% 0.18/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.34 % (1171358)------------------------------
% 0.18/0.34 % (1171358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.34 % (1171358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.34 % (1171358)CaDiCaL version: 2.1.3
% 0.18/0.34 % (1171358)Termination reason: Refutation
% 0.18/0.34 % (1171358)Time elapsed: 0.083 s
% 0.18/0.34 % (1171358)Peak memory usage: 12 MB
% 0.18/0.34 % (1171358)Instructions burned: 156 (million)
% 0.18/0.34 % (1171352)Success in time 0.118 s
% 0.18/0.34 % Vampire exiting
%------------------------------------------------------------------------------