%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD022-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 09:49:35 AM UTC 2026
% Result : Unsatisfiable 3.97s 0.82s
% Output : Refutation 3.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 27 ( 16 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 37 ( 19 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X3,X4)
| sum(X0,X1,X2)
| ~ sum(X3,X5,X1)
| ~ sum(X4,X5,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X3,X4,X0)
| sum(X0,X1,X2)
| ~ sum(X4,X1,X5)
| ~ sum(X3,X5,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_addition_2) ).
fof(f3,axiom,
! [X0] :
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
fof(f4,axiom,
! [X0] :
( ~ defined(X0)
| sum(additive_inverse(X0),X0,additive_identity) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ sum(X1,X0,X2)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f29,axiom,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).
fof(f31,negated_conjecture,
sum(a,c,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_5) ).
fof(f32,negated_conjecture,
sum(b,c,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_6) ).
fof(f33,negated_conjecture,
~ sum(additive_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_7) ).
fof(f42,plain,
sum(additive_identity,a,a),
inference(resolution,[],[f3,f27]) ).
fof(f43,plain,
sum(additive_identity,b,b),
inference(resolution,[],[f3,f28]) ).
fof(f70,plain,
sum(a,additive_identity,a),
inference(resolution,[],[f5,f42]) ).
fof(f71,plain,
sum(b,additive_identity,b),
inference(resolution,[],[f5,f43]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ~ sum(b,X2,X0)
| sum(additive_identity,X0,X1)
| ~ sum(b,X2,X1) ),
inference(resolution,[],[f1,f43]) ).
fof(f89,plain,
! [X2,X0,X1] :
( ~ sum(c,X2,X0)
| sum(b,X0,X1)
| ~ sum(u,X2,X1) ),
inference(resolution,[],[f1,f32]) ).
fof(f104,plain,
! [X2,X0,X1] :
( ~ sum(c,X0,X2)
| sum(u,X0,X1)
| ~ sum(a,X2,X1) ),
inference(resolution,[],[f2,f31]) ).
fof(f273,plain,
sum(additive_inverse(c),c,additive_identity),
inference(resolution,[],[f4,f29]) ).
fof(f283,plain,
sum(c,additive_inverse(c),additive_identity),
inference(resolution,[],[f273,f5]) ).
fof(f398,plain,
! [X0] :
( ~ sum(a,additive_identity,X0)
| sum(u,additive_inverse(c),X0) ),
inference(resolution,[],[f283,f104]) ).
fof(f399,plain,
! [X0] :
( ~ sum(u,additive_inverse(c),X0)
| sum(b,additive_identity,X0) ),
inference(resolution,[],[f283,f89]) ).
fof(f417,plain,
sum(u,additive_inverse(c),a),
inference(resolution,[],[f398,f70]) ).
fof(f442,plain,
sum(b,additive_identity,a),
inference(resolution,[],[f399,f417]) ).
fof(f446,plain,
! [X0] :
( ~ sum(b,additive_identity,X0)
| sum(additive_identity,a,X0) ),
inference(resolution,[],[f442,f86]) ).
fof(f472,plain,
sum(additive_identity,a,b),
inference(resolution,[],[f446,f71]) ).
fof(f474,plain,
$false,
inference(forward_subsumption_resolution,[],[f472,f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD022-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n017.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 00:20:26 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 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
% 3.97/0.82 % (7337)Will run a generic schedule for satisfiability detection.
% 3.97/0.82 % (7346)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3334492556:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.97/0.82 % (7343)% WARNING: option uhcvi not known.
% 3.97/0.82 % (7344)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=742863273:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.97/0.82 % (7342)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2537205170_2999 on theBenchmark for (2999ds/0Mi)
% 3.97/0.82 % (7343)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1886917705:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.97/0.82 % (7345)dis+10_1_sil=32000:sp=arity:random_seed=2704844673:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.97/0.82 % (7347)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3883499418:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.97/0.82 % (7348)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2676953184:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.97/0.82 % TRYING [1]
% 3.97/0.82 % TRYING [2]
% 3.97/0.82 % TRYING [3]
% 3.97/0.82 % TRYING [4]
% 3.97/0.82 % (7346)Instruction limit reached!
% 3.97/0.82 % (7346)------------------------------
% 3.97/0.82 % (7346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.97/0.82 % (7346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/0.82 % (7346)CaDiCaL version: 2.1.3
% 3.97/0.82 % (7346)Termination reason: Instruction limit
% 3.97/0.82 % (7346)Termination phase: Saturation
% 3.97/0.82 % (7346)Time elapsed: 0.035 s
% 3.97/0.82 % (7346)Peak memory usage: 12 MB
% 3.97/0.82 % (7346)Instructions burned: 118 (million)
% 3.97/0.82 % (7356)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3037152144:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.97/0.82 % TRYING [1]
% 3.97/0.82 % TRYING [2]
% 3.97/0.82 % TRYING [3]
% 3.97/0.82 % TRYING [4]
% 3.97/0.82 % TRYING [5]
% 3.97/0.82 % (7345)Instruction limit reached!
% 3.97/0.82 % (7345)------------------------------
% 3.97/0.82 % (7345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.97/0.82 % (7345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/0.82 % (7345)CaDiCaL version: 2.1.3
% 3.97/0.82 % (7345)Termination reason: Instruction limit
% 3.97/0.82 % (7345)Termination phase: Saturation
% 3.97/0.82 % (7345)Time elapsed: 0.066 s
% 3.97/0.82 % (7345)Peak memory usage: 12 MB
% 3.97/0.82 % (7345)Instructions burned: 104 (million)
% 3.97/0.82 % TRYING [5]
% 3.97/0.82 % (7347)Instruction limit reached!
% 3.97/0.82 % (7347)------------------------------
% 3.97/0.82 % (7347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.97/0.82 % (7347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/0.82 % (7347)CaDiCaL version: 2.1.3
% 3.97/0.82 % (7347)Termination reason: Instruction limit
% 3.97/0.82 % (7347)Termination phase: Saturation
% 3.97/0.82 % (7347)Time elapsed: 0.077 s
% 3.97/0.82 % (7347)Peak memory usage: 15 MB
% 3.97/0.82 % (7347)Instructions burned: 132 (million)
% 3.97/0.82 % (7358)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1281169187:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 3.97/0.82 % (7348)Instruction limit reached!
% 3.97/0.82 % (7348)------------------------------
% 3.97/0.82 % (7348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.97/0.82 % (7348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/0.82 % (7348)CaDiCaL version: 2.1.3
% 3.97/0.82 % (7348)Termination reason: Instruction limit
% 3.97/0.82 % (7348)Termination phase: Saturation
% 3.97/0.82 % (7348)Time elapsed: 0.093 s
% 3.97/0.82 % (7348)Peak memory usage: 13 MB
% 3.97/0.82 % (7348)Instructions burned: 160 (million)
% 3.97/0.82 % (7359)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=696518645:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 3.97/0.82 % (7361)ott-21_1_sil=16000:fs=off:random_seed=3009944233:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 3.97/0.82 % (7358)Instruction limit reached!
% 3.97/0.82 % (7358)------------------------------
% 3.97/0.82 % (7358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.97/0.82 % (7358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/0.82 % (7358)CaDiCaL version: 2.1.3
% 3.97/0.82 % (7358)Termination reason: Instruction limit
% 3.97/0.82 % (7358)Termination phase: Saturation
% 3.97/0.82 % (7358)Time elapsed: 0.078 s
% 3.97/0.82 % (7358)Peak memory usage: 15 MB
% 3.97/0.82 % (7358)Instructions burned: 131 (million)
% 3.97/0.82 % (7364)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1137190842:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 3.97/0.82 % (7361)Instruction limit reached!
% 3.97/0.82 % (7361)------------------------------
% 3.97/0.82 % (7361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.97/0.82 % (7361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/0.82 % (7361)CaDiCaL version: 2.1.3
% 3.97/0.82 % (7361)Termination reason: Instruction limit
% 3.97/0.82 % (7361)Termination phase: Saturation
% 3.97/0.82 % (7361)Time elapsed: 0.091 s
% 3.97/0.82 % (7361)Peak memory usage: 12 MB
% 3.97/0.82 % (7361)Instructions burned: 180 (million)
% 3.97/0.82 % TRYING [6]
% 3.97/0.82 % (7366)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2818299275:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 3.97/0.82 % TRYING [1]
% 3.97/0.82 % TRYING [2]
% 3.97/0.82 % TRYING [3]
% 3.97/0.82 % TRYING [4]
% 3.97/0.82 % (7356)Instruction limit reached!
% 3.97/0.82 % (7356)------------------------------
% 3.97/0.82 % (7356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.97/0.82 % (7356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/0.82 % (7356)CaDiCaL version: 2.1.3
% 3.97/0.82 % (7356)Termination reason: Instruction limit
% 3.97/0.82 % (7356)Termination phase: Finite model building constraint generation
% 3.97/0.82 % (7356)Time elapsed: 0.203 s
% 3.97/0.82 % (7356)Peak memory usage: 23 MB
% 3.97/0.82 % (7356)Instructions burned: 719 (million)
% 3.97/0.82 % (7368)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=467569815:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 3.97/0.82 % TRYING [5]
% 3.97/0.82 % TRYING [6]
% 3.97/0.82 % TRYING [6]
% 3.97/0.82 % (7364)Instruction limit reached!
% 3.97/0.82 % (7364)------------------------------
% 3.97/0.82 % (7364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.97/0.82 % (7364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/0.82 % (7364)CaDiCaL version: 2.1.3
% 3.97/0.82 % (7364)Termination reason: Instruction limit
% 3.97/0.82 % (7364)Termination phase: Saturation
% 3.97/0.82 % (7364)Time elapsed: 0.304 s
% 3.97/0.82 % (7364)Peak memory usage: 14 MB
% 3.97/0.82 % (7364)Instructions burned: 477 (million)
% 3.97/0.82 % (7370)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2739124725:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 3.97/0.82 % (7359)Instruction limit reached!
% 3.97/0.82 % (7359)------------------------------
% 3.97/0.82 % (7359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.97/0.82 % (7359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/0.82 % (7359)CaDiCaL version: 2.1.3
% 3.97/0.82 % (7359)Termination reason: Instruction limit
% 3.97/0.82 % (7359)Termination phase: Saturation
% 3.97/0.82 % (7359)Time elapsed: 0.416 s
% 3.97/0.82 % (7359)Peak memory usage: 20 MB
% 3.97/0.82 % (7359)Instructions burned: 684 (million)
% 3.97/0.82 % (7372)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3212665469:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 3.97/0.82 % (7372) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-7337-7372"...
% 3.97/0.82 % (7372)...printing done.
% 3.97/0.82 % (7372)Refutation found. Thanks to Tanya!
% 3.97/0.82 % SZS status Unsatisfiable for theBenchmark
% 3.97/0.82 % SZS output start Proof for theBenchmark
% See solution above
% 3.97/0.82 % (7372)------------------------------
% 3.97/0.82 % (7372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.97/0.82 % (7372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.97/0.82 % (7372)CaDiCaL version: 2.1.3
% 3.97/0.82 % (7372)Termination reason: Refutation
% 3.97/0.82 % (7372)Time elapsed: 0.012 s
% 3.97/0.82 % (7372)Peak memory usage: 12 MB
% 3.97/0.82 % (7372)Instructions burned: 18 (million)
% 3.97/0.82 % (7337)Success in time 0.594 s
% 3.97/0.82 % Vampire exiting
%------------------------------------------------------------------------------