%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD013-2 : 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 : n003.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 09:49:32 AM UTC 2026
% Result : Unsatisfiable 3.49s 0.78s
% Output : Refutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 14 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 14 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( equalish(add(X0,X1),add(X1,X0))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',commutativity_addition) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',symmetry_of_equality) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X0,X2)
| equalish(X0,X1)
| ~ equalish(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',transitivity_of_equality) ).
fof(f24,axiom,
! [X2,X0,X1] :
( equalish(add(X0,X1),add(X2,X1))
| ~ defined(X1)
| ~ equalish(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_addition) ).
fof(f29,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f30,axiom,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).
fof(f33,negated_conjecture,
equalish(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_b_6) ).
fof(f34,negated_conjecture,
equalish(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_equals_d_7) ).
fof(f35,negated_conjecture,
equalish(add(a,c),u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_equals_u_8) ).
fof(f36,negated_conjecture,
~ equalish(add(d,b),u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_not_equal_to_u_9) ).
fof(f40,plain,
! [X0,X1] :
( equalish(add(X0,X1),add(X1,X0))
| defined(X0)
| defined(X1) ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ equalish(X0,X2)
| defined(X1)
| equalish(add(X0,X1),add(X2,X1)) ),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f58,plain,
~ defined(b),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f59,plain,
~ defined(c),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f63,plain,
equalish(u,add(a,c)),
inference(resolution,[],[f22,f35]) ).
fof(f91,plain,
! [X0] :
( ~ equalish(add(a,c),X0)
| equalish(u,X0) ),
inference(resolution,[],[f23,f63]) ).
fof(f101,plain,
! [X0] :
( equalish(add(a,X0),add(b,X0))
| defined(X0) ),
inference(resolution,[],[f55,f33]) ).
fof(f103,plain,
! [X0] :
( equalish(add(c,X0),add(d,X0))
| defined(X0) ),
inference(resolution,[],[f55,f34]) ).
fof(f287,plain,
( equalish(u,add(b,c))
| defined(c) ),
inference(resolution,[],[f91,f101]) ).
fof(f310,plain,
equalish(u,add(b,c)),
inference(forward_subsumption_resolution,[],[f287,f59]) ).
fof(f322,plain,
! [X0] :
( ~ equalish(add(b,c),X0)
| equalish(u,X0) ),
inference(resolution,[],[f310,f23]) ).
fof(f366,plain,
( equalish(u,add(c,b))
| defined(b)
| defined(c) ),
inference(resolution,[],[f322,f40]) ).
fof(f386,plain,
( equalish(u,add(c,b))
| defined(c) ),
inference(forward_subsumption_resolution,[],[f366,f58]) ).
fof(f387,plain,
equalish(u,add(c,b)),
inference(forward_subsumption_resolution,[],[f386,f59]) ).
fof(f390,plain,
! [X0] :
( ~ equalish(add(c,b),X0)
| equalish(u,X0) ),
inference(resolution,[],[f387,f23]) ).
fof(f547,plain,
( equalish(u,add(d,b))
| defined(b) ),
inference(resolution,[],[f390,f103]) ).
fof(f568,plain,
equalish(u,add(d,b)),
inference(forward_subsumption_resolution,[],[f547,f58]) ).
fof(f574,plain,
equalish(add(d,b),u),
inference(resolution,[],[f568,f22]) ).
fof(f575,plain,
$false,
inference(forward_subsumption_resolution,[],[f574,f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD013-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17 % Computer : n003.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 00:26:58 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 Running first-order model finding
% 0.08/0.20 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
% 3.49/0.78 % (2180330)Will run a generic schedule for satisfiability detection.
% 3.49/0.78 % (2180336)% WARNING: option uhcvi not known.
% 3.49/0.78 % (2180336)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=25215129:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.49/0.78 % (2180340)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1093637647:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.49/0.78 % (2180335)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3073224784_2999 on theBenchmark for (2999ds/0Mi)
% 3.49/0.78 % (2180338)dis+10_1_sil=32000:sp=arity:random_seed=4013492284:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.49/0.78 % (2180337)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1108682213:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.49/0.78 % (2180339)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=794527911:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.49/0.78 % (2180341)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1070925117:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.49/0.78 % TRYING [1]
% 3.49/0.78 % TRYING [2]
% 3.49/0.78 % TRYING [3]
% 3.49/0.78 % TRYING [4]
% 3.49/0.78 % (2180338)Instruction limit reached!
% 3.49/0.78 % (2180338)------------------------------
% 3.49/0.78 % (2180338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.49/0.78 % (2180338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/0.78 % (2180338)CaDiCaL version: 2.1.3
% 3.49/0.78 % (2180338)Termination reason: Instruction limit
% 3.49/0.78 % (2180338)Termination phase: Saturation
% 3.49/0.78 % (2180338)Time elapsed: 0.064 s
% 3.49/0.78 % (2180338)Peak memory usage: 12 MB
% 3.49/0.78 % (2180338)Instructions burned: 103 (million)
% 3.49/0.78 % (2180339)Instruction limit reached!
% 3.49/0.78 % (2180339)------------------------------
% 3.49/0.78 % (2180339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.49/0.78 % (2180339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/0.78 % (2180339)CaDiCaL version: 2.1.3
% 3.49/0.78 % (2180339)Termination reason: Instruction limit
% 3.49/0.78 % (2180339)Termination phase: Saturation
% 3.49/0.78 % (2180339)Time elapsed: 0.065 s
% 3.49/0.78 % (2180339)Peak memory usage: 11 MB
% 3.49/0.78 % (2180339)Instructions burned: 116 (million)
% 3.49/0.78 % (2180340)Instruction limit reached!
% 3.49/0.78 % (2180340)------------------------------
% 3.49/0.78 % (2180340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.49/0.78 % (2180340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/0.78 % (2180340)CaDiCaL version: 2.1.3
% 3.49/0.78 % (2180340)Termination reason: Instruction limit
% 3.49/0.78 % (2180340)Termination phase: Saturation
% 3.49/0.78 % (2180340)Time elapsed: 0.071 s
% 3.49/0.78 % (2180340)Peak memory usage: 15 MB
% 3.49/0.78 % (2180340)Instructions burned: 131 (million)
% 3.49/0.78 % (2180349)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3818024212:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.49/0.78 % (2180350)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2460837278:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 3.49/0.78 % TRYING [1]
% 3.49/0.78 % TRYING [2]
% 3.49/0.78 % TRYING [3]
% 3.49/0.78 % (2180351)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=634629460:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 3.49/0.78 % TRYING [4]
% 3.49/0.78 % (2180341)Instruction limit reached!
% 3.49/0.78 % (2180341)------------------------------
% 3.49/0.78 % (2180341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.49/0.78 % (2180341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/0.78 % (2180341)CaDiCaL version: 2.1.3
% 3.49/0.78 % (2180341)Termination reason: Instruction limit
% 3.49/0.78 % (2180341)Termination phase: Saturation
% 3.49/0.78 % (2180341)Time elapsed: 0.109 s
% 3.49/0.78 % (2180341)Peak memory usage: 13 MB
% 3.49/0.78 % (2180341)Instructions burned: 160 (million)
% 3.49/0.78 % TRYING [5]
% 3.49/0.78 % (2180355)ott-21_1_sil=16000:fs=off:random_seed=2081652988:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 3.49/0.78 % (2180350)Instruction limit reached!
% 3.49/0.78 % (2180350)------------------------------
% 3.49/0.78 % (2180350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.49/0.78 % (2180350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/0.78 % (2180350)CaDiCaL version: 2.1.3
% 3.49/0.78 % (2180350)Termination reason: Instruction limit
% 3.49/0.78 % (2180350)Termination phase: Saturation
% 3.49/0.78 % (2180350)Time elapsed: 0.071 s
% 3.49/0.78 % (2180350)Peak memory usage: 15 MB
% 3.49/0.78 % (2180350)Instructions burned: 132 (million)
% 3.49/0.78 % (2180357)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=323298687:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 3.49/0.78 % TRYING [5]
% 3.49/0.78 % (2180355)Instruction limit reached!
% 3.49/0.78 % (2180355)------------------------------
% 3.49/0.78 % (2180355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.49/0.78 % (2180355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/0.78 % (2180355)CaDiCaL version: 2.1.3
% 3.49/0.78 % (2180355)Termination reason: Instruction limit
% 3.49/0.78 % (2180355)Termination phase: Saturation
% 3.49/0.78 % (2180355)Time elapsed: 0.101 s
% 3.49/0.78 % (2180355)Peak memory usage: 12 MB
% 3.49/0.78 % (2180355)Instructions burned: 180 (million)
% 3.49/0.78 % (2180359)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3535660821:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 3.49/0.78 % TRYING [1]
% 3.49/0.78 % TRYING [2]
% 3.49/0.78 % TRYING [3]
% 3.49/0.78 % TRYING [4]
% 3.49/0.78 % TRYING [5]
% 3.49/0.78 % TRYING [6]
% 3.49/0.78 % (2180351)Instruction limit reached!
% 3.49/0.78 % (2180351)------------------------------
% 3.49/0.78 % (2180351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.49/0.78 % (2180351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/0.78 % (2180351)CaDiCaL version: 2.1.3
% 3.49/0.78 % (2180351)Termination reason: Instruction limit
% 3.49/0.78 % (2180351)Termination phase: Saturation
% 3.49/0.78 % (2180351)Time elapsed: 0.370 s
% 3.49/0.78 % (2180351)Peak memory usage: 19 MB
% 3.49/0.78 % (2180351)Instructions burned: 684 (million)
% 3.49/0.78 % (2180357)Instruction limit reached!
% 3.49/0.78 % (2180357)------------------------------
% 3.49/0.78 % (2180357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.49/0.78 % (2180357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/0.78 % (2180357)CaDiCaL version: 2.1.3
% 3.49/0.78 % (2180357)Termination reason: Instruction limit
% 3.49/0.78 % (2180357)Termination phase: Saturation
% 3.49/0.78 % (2180357)Time elapsed: 0.292 s
% 3.49/0.78 % (2180357)Peak memory usage: 14 MB
% 3.49/0.78 % (2180357)Instructions burned: 477 (million)
% 3.49/0.78 % (2180361)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=481276422:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 3.49/0.78 % TRYING [6]
% 3.49/0.78 % (2180362)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=426597227:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 3.49/0.78 % (2180349)Instruction limit reached!
% 3.49/0.78 % (2180349)------------------------------
% 3.49/0.78 % (2180349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.49/0.78 % (2180349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/0.78 % (2180349)CaDiCaL version: 2.1.3
% 3.49/0.78 % (2180349)Termination reason: Instruction limit
% 3.49/0.78 % (2180349)Termination phase: Finite model building constraint generation
% 3.49/0.78 % (2180349)Time elapsed: 0.412 s
% 3.49/0.78 % (2180349)Peak memory usage: 21 MB
% 3.49/0.78 % (2180349)Instructions burned: 715 (million)
% 3.49/0.78 % (2180365)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=273679356: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)
% 3.49/0.78 % (2180365) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2180330-2180365"...
% 3.49/0.78 % (2180365)...printing done.
% 3.49/0.78 % (2180365)Refutation found. Thanks to Tanya!
% 3.49/0.78 % SZS status Unsatisfiable for theBenchmark
% 3.49/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 3.49/0.78 % (2180365)------------------------------
% 3.49/0.78 % (2180365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.49/0.78 % (2180365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/0.78 % (2180365)CaDiCaL version: 2.1.3
% 3.49/0.78 % (2180365)Termination reason: Refutation
% 3.49/0.78 % (2180365)Time elapsed: 0.011 s
% 3.49/0.78 % (2180365)Peak memory usage: 12 MB
% 3.49/0.78 % (2180365)Instructions burned: 15 (million)
% 3.49/0.78 % (2180330)Success in time 0.572 s
% 3.49/0.78 % Vampire exiting
%------------------------------------------------------------------------------