%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : BOO010-1 : 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 : n018.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 09:36:08 AM UTC 2026
% Result : Unsatisfiable 2.28s 0.58s
% Output : Refutation 2.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 33 ( 17 unt; 0 def)
% Number of atoms : 66 ( 6 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 68 ( 35 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 78 ( 78 !; 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(f2,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',closure_of_multiplication) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',commutativity_of_multiplication) ).
fof(f5,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',additive_identity1) ).
fof(f6,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',additive_identity2) ).
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,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(f13,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X0,X5,X6)
| ~ sum(X0,X3,X4)
| ~ product(X1,X3,X5)
| ~ sum(X0,X1,X2)
| product(X2,X4,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',distributivity5) ).
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(f22,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox/benchmark/Axioms/BOO002-0.ax',multiplication_is_well_defined) ).
fof(f23,negated_conjecture,
~ sum(x,multiply(x,y),x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equations) ).
fof(f30,plain,
! [X0,X1] : product(X0,X1,multiply(X1,X0)),
inference(resolution,[],[f4,f2]) ).
fof(f37,plain,
! [X0,X1] :
( ~ sum(X0,additive_identity,X1)
| X0 = X1 ),
inference(resolution,[],[f21,f6]) ).
fof(f114,plain,
! [X0,X1] :
( ~ product(multiplicative_identity,X0,X1)
| X0 = X1 ),
inference(resolution,[],[f22,f7]) ).
fof(f192,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(f193,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X3,X1,inverse(X0))
| ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| sum(X4,X2,additive_identity) ),
inference(resolution,[],[f9,f20]) ).
fof(f220,plain,
! [X2,X0,X1] :
( ~ product(X1,X0,X2)
| ~ sum(multiplicative_identity,X0,multiplicative_identity)
| sum(X1,X2,X1) ),
inference(resolution,[],[f192,f8]) ).
fof(f224,plain,
! [X0,X1] :
( sum(X1,multiply(X1,X0),X1)
| ~ sum(multiplicative_identity,X0,multiplicative_identity) ),
inference(resolution,[],[f220,f2]) ).
fof(f371,plain,
~ sum(multiplicative_identity,y,multiplicative_identity),
inference(resolution,[],[f224,f23]) ).
fof(f437,plain,
! [X2,X0,X1] :
( ~ product(X0,inverse(X0),X1)
| ~ product(X0,additive_identity,X2)
| sum(X2,X1,additive_identity) ),
inference(resolution,[],[f193,f5]) ).
fof(f460,plain,
! [X0,X1] :
( ~ product(X0,additive_identity,X1)
| sum(X1,additive_identity,additive_identity) ),
inference(resolution,[],[f437,f20]) ).
fof(f566,plain,
! [X0] : sum(multiply(X0,additive_identity),additive_identity,additive_identity),
inference(resolution,[],[f460,f2]) ).
fof(f578,plain,
! [X0] : additive_identity = multiply(X0,additive_identity),
inference(resolution,[],[f566,f37]) ).
fof(f595,plain,
! [X0] : product(additive_identity,X0,additive_identity),
inference(superposition,[],[f30,f578]) ).
fof(f4945,plain,
! [X2,X3,X0,X1,X4] :
( ~ sum(X0,X3,X4)
| ~ product(X3,X1,additive_identity)
| ~ sum(X0,X1,X2)
| product(X4,X2,X0) ),
inference(resolution,[],[f13,f6]) ).
fof(f10961,plain,
! [X2,X0,X1] :
( ~ product(additive_identity,X0,additive_identity)
| ~ sum(X1,X0,X2)
| product(X1,X2,X1) ),
inference(resolution,[],[f4945,f6]) ).
fof(f10997,plain,
! [X2,X0,X1] :
( ~ sum(X1,X0,X2)
| product(X1,X2,X1) ),
inference(forward_subsumption_resolution,[],[f10961,f595]) ).
fof(f11028,plain,
! [X0,X1] : product(X0,add(X0,X1),X0),
inference(resolution,[],[f10997,f1]) ).
fof(f11106,plain,
! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
inference(resolution,[],[f11028,f114]) ).
fof(f11283,plain,
! [X0] : sum(multiplicative_identity,X0,multiplicative_identity),
inference(superposition,[],[f1,f11106]) ).
fof(f11453,plain,
$false,
inference(resolution,[],[f11283,f371]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO010-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n018.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 21:05:55 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
% 2.28/0.58 % (3785066)Will run a generic schedule for satisfiability detection.
% 2.28/0.58 % (3785073)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2468883720:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.28/0.58 % (3785072)% WARNING: option uhcvi not known.
% 2.28/0.58 % (3785075)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2189155810:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.28/0.58 % (3785071)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3949310949_2999 on theBenchmark for (2999ds/0Mi)
% 2.28/0.58 % (3785072)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3189935247:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.28/0.58 % (3785074)dis+10_1_sil=32000:sp=arity:random_seed=3591762120:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.28/0.58 % TRYING [1]
% 2.28/0.58 % TRYING [2]
% 2.28/0.58 % TRYING [3]
% 2.28/0.58 % (3785076)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2192009346:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.28/0.58 % (3785077)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1402861222:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.28/0.58 % TRYING [4]
% 2.28/0.58 % TRYING [5]
% 2.28/0.58 % (3785075)Instruction limit reached!
% 2.28/0.58 % (3785075)------------------------------
% 2.28/0.58 % (3785075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.58 % (3785075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.58 % (3785075)CaDiCaL version: 2.1.3
% 2.28/0.58 % (3785075)Termination reason: Instruction limit
% 2.28/0.58 % (3785075)Termination phase: Saturation
% 2.28/0.58 % (3785075)Time elapsed: 0.064 s
% 2.28/0.58 % (3785075)Peak memory usage: 11 MB
% 2.28/0.58 % (3785075)Instructions burned: 117 (million)
% 2.28/0.58 % (3785074)Instruction limit reached!
% 2.28/0.58 % (3785074)------------------------------
% 2.28/0.58 % (3785074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.58 % (3785074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.58 % (3785074)CaDiCaL version: 2.1.3
% 2.28/0.58 % (3785074)Termination reason: Instruction limit
% 2.28/0.58 % (3785074)Termination phase: Saturation
% 2.28/0.58 % (3785074)Time elapsed: 0.066 s
% 2.28/0.58 % (3785074)Peak memory usage: 11 MB
% 2.28/0.58 % (3785074)Instructions burned: 103 (million)
% 2.28/0.58 % (3785076)Instruction limit reached!
% 2.28/0.58 % (3785076)------------------------------
% 2.28/0.58 % (3785076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.58 % (3785076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.58 % (3785076)CaDiCaL version: 2.1.3
% 2.28/0.58 % (3785076)Termination reason: Instruction limit
% 2.28/0.58 % (3785076)Termination phase: Saturation
% 2.28/0.58 % (3785076)Time elapsed: 0.087 s
% 2.28/0.58 % (3785076)Peak memory usage: 12 MB
% 2.28/0.58 % (3785076)Instructions burned: 131 (million)
% 2.28/0.58 % (3785085)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4118328806:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 2.28/0.58 % (3785086)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1040710287:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.28/0.58 % TRYING [1]
% 2.28/0.58 % TRYING [2]
% 2.28/0.58 % TRYING [3]
% 2.28/0.58 % (3785077)Instruction limit reached!
% 2.28/0.58 % (3785077)------------------------------
% 2.28/0.58 % (3785077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.58 % (3785077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.58 % (3785077)CaDiCaL version: 2.1.3
% 2.28/0.58 % (3785077)Termination reason: Instruction limit
% 2.28/0.58 % (3785077)Termination phase: Saturation
% 2.28/0.58 % (3785077)Time elapsed: 0.103 s
% 2.28/0.58 % (3785077)Peak memory usage: 12 MB
% 2.28/0.58 % (3785077)Instructions burned: 160 (million)
% 2.28/0.58 % (3785087)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1734146378:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.28/0.58 % TRYING [4]
% 2.28/0.58 % (3785090)ott-21_1_sil=16000:fs=off:random_seed=1129982022:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.28/0.58 % TRYING [5]
% 2.28/0.58 % TRYING [6]
% 2.28/0.58 % (3785086)Instruction limit reached!
% 2.28/0.58 % (3785086)------------------------------
% 2.28/0.58 % (3785086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.58 % (3785086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.58 % (3785086)CaDiCaL version: 2.1.3
% 2.28/0.58 % (3785086)Termination reason: Instruction limit
% 2.28/0.58 % (3785086)Termination phase: Saturation
% 2.28/0.58 % (3785086)Time elapsed: 0.084 s
% 2.28/0.58 % (3785086)Peak memory usage: 12 MB
% 2.28/0.58 % (3785086)Instructions burned: 132 (million)
% 2.28/0.58 % (3785111)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=361525553:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.28/0.58 % (3785090)Instruction limit reached!
% 2.28/0.58 % (3785090)------------------------------
% 2.28/0.58 % (3785090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.58 % (3785090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.58 % (3785090)CaDiCaL version: 2.1.3
% 2.28/0.58 % (3785090)Termination reason: Instruction limit
% 2.28/0.58 % (3785090)Termination phase: Saturation
% 2.28/0.58 % (3785090)Time elapsed: 0.089 s
% 2.28/0.58 % (3785090)Peak memory usage: 12 MB
% 2.28/0.58 % (3785090)Instructions burned: 180 (million)
% 2.28/0.58 % (3785124)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1446739375:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.28/0.58 % TRYING [1]
% 2.28/0.58 % TRYING [2]
% 2.28/0.58 % TRYING [3]
% 2.28/0.58 % TRYING [4]
% 2.28/0.58 % TRYING [6]
% 2.28/0.58 % (3785087) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3785066-3785087"...
% 2.28/0.58 % (3785087)...printing done.
% 2.28/0.58 % (3785087)Refutation found. Thanks to Tanya!
% 2.28/0.58 % SZS status Unsatisfiable for theBenchmark
% 2.28/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 2.28/0.58 % (3785087)------------------------------
% 2.28/0.58 % (3785087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.58 % (3785087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.58 % (3785087)CaDiCaL version: 2.1.3
% 2.28/0.58 % (3785087)Termination reason: Refutation
% 2.28/0.58 % (3785087)Time elapsed: 0.193 s
% 2.28/0.58 % (3785087)Peak memory usage: 14 MB
% 2.28/0.58 % (3785087)Instructions burned: 311 (million)
% 2.28/0.58 % (3785066)Success in time 0.353 s
% 2.28/0.58 % Vampire exiting
%------------------------------------------------------------------------------