%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD027-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 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 09:49:37 AM UTC 2026
% Result : Unsatisfiable 0.95s 0.46s
% Output : Refutation 0.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 26 ( 11 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 63 ( 30 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X5,X2)
| ~ product(X0,X3,X4)
| ~ product(X3,X5,X1)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_1) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).
fof(f9,axiom,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_multiplication) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ product(X1,X0,X2)
| product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f29,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_3) ).
fof(f30,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_4) ).
fof(f31,negated_conjecture,
product(multiplicative_identity,multiplicative_inverse(a),multiplicative_inverse(b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_5) ).
fof(f32,negated_conjecture,
~ product(multiplicative_identity,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_6) ).
fof(f36,plain,
product(multiplicative_inverse(a),multiplicative_identity,multiplicative_inverse(b)),
inference(resolution,[],[f10,f31]) ).
fof(f113,plain,
! [X0] :
( product(X0,multiplicative_inverse(X0),multiplicative_identity)
| ~ defined(X0)
| sum(additive_identity,X0,additive_identity) ),
inference(resolution,[],[f9,f10]) ).
fof(f145,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,multiplicative_identity)
| ~ product(X1,X2,X3)
| product(X0,X3,X2)
| ~ defined(X2) ),
inference(resolution,[],[f6,f8]) ).
fof(f147,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,multiplicative_inverse(X2))
| ~ product(X1,X2,X3)
| product(X0,X3,multiplicative_identity)
| sum(additive_identity,X2,additive_identity)
| ~ defined(X2) ),
inference(resolution,[],[f6,f9]) ).
fof(f411,plain,
! [X2,X0,X1] :
( ~ defined(X0)
| product(X0,X2,X1)
| ~ defined(X1)
| ~ product(multiplicative_inverse(X0),X1,X2)
| sum(additive_identity,X0,additive_identity) ),
inference(resolution,[],[f145,f113]) ).
fof(f608,plain,
! [X0] :
( ~ product(multiplicative_identity,b,X0)
| product(multiplicative_inverse(a),X0,multiplicative_identity)
| sum(additive_identity,b,additive_identity)
| ~ defined(b) ),
inference(resolution,[],[f147,f36]) ).
fof(f611,plain,
! [X0] :
( ~ product(multiplicative_identity,b,X0)
| product(multiplicative_inverse(a),X0,multiplicative_identity)
| ~ defined(b) ),
inference(forward_subsumption_resolution,[],[f608,f30]) ).
fof(f614,plain,
! [X0] :
( ~ product(multiplicative_identity,b,X0)
| product(multiplicative_inverse(a),X0,multiplicative_identity) ),
inference(forward_subsumption_resolution,[],[f611,f28]) ).
fof(f701,plain,
( product(multiplicative_inverse(a),b,multiplicative_identity)
| ~ defined(b) ),
inference(resolution,[],[f614,f8]) ).
fof(f706,plain,
product(multiplicative_inverse(a),b,multiplicative_identity),
inference(forward_subsumption_resolution,[],[f701,f28]) ).
fof(f3530,plain,
! [X0,X1] :
( product(a,X0,X1)
| ~ defined(X1)
| ~ product(multiplicative_inverse(a),X1,X0)
| sum(additive_identity,a,additive_identity) ),
inference(resolution,[],[f411,f27]) ).
fof(f3533,plain,
! [X0,X1] :
( ~ product(multiplicative_inverse(a),X1,X0)
| ~ defined(X1)
| product(a,X0,X1) ),
inference(forward_subsumption_resolution,[],[f3530,f29]) ).
fof(f10776,plain,
( ~ defined(b)
| product(a,multiplicative_identity,b) ),
inference(resolution,[],[f3533,f706]) ).
fof(f10787,plain,
product(a,multiplicative_identity,b),
inference(forward_subsumption_resolution,[],[f10776,f28]) ).
fof(f10943,plain,
product(multiplicative_identity,a,b),
inference(resolution,[],[f10787,f10]) ).
fof(f10952,plain,
$false,
inference(forward_subsumption_resolution,[],[f10943,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD027-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n026.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 00:31:42 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 0.95/0.46 % (247391)Will run a generic schedule for satisfiability detection.
% 0.95/0.46 % (247396)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3451901614_2999 on theBenchmark for (2999ds/0Mi)
% 0.95/0.46 % TRYING [1]
% 0.95/0.46 % TRYING [2]
% 0.95/0.46 % TRYING [3]
% 0.95/0.46 % (247397)% WARNING: option uhcvi not known.
% 0.95/0.46 % TRYING [4]
% 0.95/0.46 % (247397)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3210478516:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.95/0.46 % (247398)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2313928150:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.95/0.46 % (247399)dis+10_1_sil=32000:sp=arity:random_seed=2223866110:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.95/0.46 % (247401)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3428799650:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.95/0.46 % (247400)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2985946331:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.95/0.46 % (247402)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2205903299:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.95/0.46 % TRYING [5]
% 0.95/0.46 % TRYING [6]
% 0.95/0.46 % (247400)Instruction limit reached!
% 0.95/0.46 % (247400)------------------------------
% 0.95/0.46 % (247400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.95/0.46 % (247400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.95/0.46 % (247400)CaDiCaL version: 2.1.3
% 0.95/0.46 % (247400)Termination reason: Instruction limit
% 0.95/0.46 % (247400)Termination phase: Saturation
% 0.95/0.46 % (247400)Time elapsed: 0.062 s
% 0.95/0.46 % (247400)Peak memory usage: 11 MB
% 0.95/0.46 % (247400)Instructions burned: 116 (million)
% 0.95/0.46 % (247399)Instruction limit reached!
% 0.95/0.46 % (247399)------------------------------
% 0.95/0.46 % (247399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.95/0.46 % (247399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.95/0.46 % (247399)CaDiCaL version: 2.1.3
% 0.95/0.46 % (247399)Termination reason: Instruction limit
% 0.95/0.46 % (247399)Termination phase: Saturation
% 0.95/0.46 % (247399)Time elapsed: 0.066 s
% 0.95/0.46 % (247399)Peak memory usage: 12 MB
% 0.95/0.46 % (247399)Instructions burned: 103 (million)
% 0.95/0.46 % (247401)Instruction limit reached!
% 0.95/0.46 % (247401)------------------------------
% 0.95/0.46 % (247401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.95/0.46 % (247401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.95/0.46 % (247401)CaDiCaL version: 2.1.3
% 0.95/0.46 % (247401)Termination reason: Instruction limit
% 0.95/0.46 % (247401)Termination phase: Saturation
% 0.95/0.46 % (247401)Time elapsed: 0.077 s
% 0.95/0.46 % (247401)Peak memory usage: 15 MB
% 0.95/0.46 % (247401)Instructions burned: 132 (million)
% 0.95/0.46 % (247410)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2992453502:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.95/0.46 % TRYING [1]
% 0.95/0.46 % TRYING [2]
% 0.95/0.46 % (247411)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3131630362:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.95/0.46 % TRYING [3]
% 0.95/0.46 % TRYING [4]
% 0.95/0.46 % (247402)Instruction limit reached!
% 0.95/0.46 % (247402)------------------------------
% 0.95/0.46 % (247402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.95/0.46 % (247402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.95/0.46 % (247402)CaDiCaL version: 2.1.3
% 0.95/0.46 % (247402)Termination reason: Instruction limit
% 0.95/0.46 % (247402)Termination phase: Saturation
% 0.95/0.46 % (247402)Time elapsed: 0.091 s
% 0.95/0.46 % (247402)Peak memory usage: 13 MB
% 0.95/0.46 % (247402)Instructions burned: 160 (million)
% 0.95/0.46 % (247412)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=2306040760:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.95/0.46 % (247415)ott-21_1_sil=16000:fs=off:random_seed=4285070253:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.95/0.46 % TRYING [5]
% 0.95/0.46 % TRYING [7]
% 0.95/0.46 % (247411)Instruction limit reached!
% 0.95/0.46 % (247411)------------------------------
% 0.95/0.46 % (247411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.95/0.46 % (247411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.95/0.46 % (247411)CaDiCaL version: 2.1.3
% 0.95/0.46 % (247411)Termination reason: Instruction limit
% 0.95/0.46 % (247411)Termination phase: Saturation
% 0.95/0.46 % (247411)Time elapsed: 0.078 s
% 0.95/0.46 % (247411)Peak memory usage: 15 MB
% 0.95/0.46 % (247411)Instructions burned: 132 (million)
% 0.95/0.46 % (247418)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3737005489:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.95/0.46 % (247397) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-247391-247397"...
% 0.95/0.46 % (247397)...printing done.
% 0.95/0.46 % (247397)Refutation found. Thanks to Tanya!
% 0.95/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.95/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.95/0.46 % (247397)------------------------------
% 0.95/0.46 % (247397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.95/0.46 % (247397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.95/0.46 % (247397)CaDiCaL version: 2.1.3
% 0.95/0.46 % (247397)Termination reason: Refutation
% 0.95/0.46 % (247397)Time elapsed: 0.197 s
% 0.95/0.46 % (247397)Peak memory usage: 16 MB
% 0.95/0.46 % (247397)Instructions burned: 316 (million)
% 0.95/0.46 % (247391)Success in time 0.235 s
% 0.95/0.46 % Vampire exiting
%------------------------------------------------------------------------------