%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD013-1 : 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 09:49:32 AM UTC 2026
% Result : Unsatisfiable 0.20s 0.36s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 12 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 43 ( 14 ~; 29 |; 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( equalish(add(X0,X1),add(X1,X0))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',commutativity_addition) ).
fof(f23,axiom,
! [X2,X0,X1] :
( equalish(X0,X1)
| ~ equalish(X0,X2)
| ~ equalish(X2,X1) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_addition) ).
fof(f29,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f30,axiom,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).
fof(f32,negated_conjecture,
equalish(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_b_5) ).
fof(f33,negated_conjecture,
equalish(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_equals_d_6) ).
fof(f34,negated_conjecture,
~ equalish(add(a,c),add(d,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_not_equal_to_add_7) ).
fof(f38,plain,
! [X0,X1] :
( ~ equalish(add(X0,X1),add(X1,X0))
| defined(X0)
| defined(X1) ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ equalish(X0,X1)
| equalish(X0,X2)
| equalish(X2,X1) ),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ equalish(add(X0,X1),add(X2,X1))
| defined(X1)
| equalish(X0,X2) ),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f63,plain,
~ defined(b),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f64,plain,
~ defined(c),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f66,plain,
~ equalish(a,b),
inference(consistent_polarity_flipping,[],[f32]) ).
fof(f67,plain,
~ equalish(c,d),
inference(consistent_polarity_flipping,[],[f33]) ).
fof(f68,plain,
equalish(add(a,c),add(d,b)),
inference(consistent_polarity_flipping,[],[f34]) ).
fof(f97,plain,
! [X0] :
( equalish(add(a,c),X0)
| equalish(X0,add(d,b)) ),
inference(resolution,[],[f57,f68]) ).
fof(f143,plain,
! [X0] :
( equalish(add(a,c),add(X0,b))
| defined(b)
| equalish(X0,d) ),
inference(resolution,[],[f97,f58]) ).
fof(f148,plain,
! [X0] :
( equalish(add(a,c),add(X0,b))
| equalish(X0,d) ),
inference(forward_subsumption_resolution,[],[f143,f63]) ).
fof(f293,plain,
! [X0,X1] :
( equalish(add(a,c),X1)
| equalish(X1,add(X0,b))
| equalish(X0,d) ),
inference(resolution,[],[f148,f57]) ).
fof(f805,plain,
! [X0] :
( equalish(add(a,c),add(b,X0))
| equalish(X0,d)
| defined(b)
| defined(X0) ),
inference(resolution,[],[f293,f38]) ).
fof(f812,plain,
! [X0] :
( equalish(add(a,c),add(b,X0))
| equalish(X0,d)
| defined(X0) ),
inference(forward_subsumption_resolution,[],[f805,f63]) ).
fof(f5508,plain,
( equalish(c,d)
| defined(c)
| defined(c)
| equalish(a,b) ),
inference(resolution,[],[f812,f58]) ).
fof(f5512,plain,
( equalish(c,d)
| defined(c)
| equalish(a,b) ),
inference(duplicate_literal_removal,[],[f5508]) ).
fof(f5513,plain,
( defined(c)
| equalish(a,b) ),
inference(forward_subsumption_resolution,[],[f5512,f67]) ).
fof(f5514,plain,
equalish(a,b),
inference(forward_subsumption_resolution,[],[f5513,f64]) ).
fof(f5515,plain,
$false,
inference(forward_subsumption_resolution,[],[f5514,f66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD013-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n017.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 : Tue Sep 29 00:20:36 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.20/0.36 % (7776)Will run a generic schedule for satisfiability detection.
% 0.20/0.36 % (7785)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3092010651:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.36 % (7782)% WARNING: option uhcvi not known.
% 0.20/0.36 % (7781)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3998928219_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.36 % (7782)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=190958005:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.36 % (7783)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2560812189:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.36 % (7784)dis+10_1_sil=32000:sp=arity:random_seed=3534977632:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.36 % (7786)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4219966076:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.36 % (7787)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3290629065:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.36 % TRYING [1]
% 0.20/0.36 % TRYING [2]
% 0.20/0.36 % TRYING [3]
% 0.20/0.36 % TRYING [4]
% 0.20/0.36 % (7785)Instruction limit reached!
% 0.20/0.36 % (7785)------------------------------
% 0.20/0.36 % (7785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (7785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (7785)CaDiCaL version: 2.1.3
% 0.20/0.36 % (7785)Termination reason: Instruction limit
% 0.20/0.36 % (7785)Termination phase: Saturation
% 0.20/0.36 % (7785)Time elapsed: 0.035 s
% 0.20/0.36 % (7785)Peak memory usage: 12 MB
% 0.20/0.36 % (7785)Instructions burned: 117 (million)
% 0.20/0.36 % (7795)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2681061485:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.36 % TRYING [1]
% 0.20/0.36 % TRYING [2]
% 0.20/0.36 % TRYING [3]
% 0.20/0.36 % TRYING [4]
% 0.20/0.36 % (7784)Instruction limit reached!
% 0.20/0.36 % (7784)------------------------------
% 0.20/0.36 % (7784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (7784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (7784)CaDiCaL version: 2.1.3
% 0.20/0.36 % (7784)Termination reason: Instruction limit
% 0.20/0.36 % (7784)Termination phase: Saturation
% 0.20/0.36 % (7784)Time elapsed: 0.065 s
% 0.20/0.36 % (7784)Peak memory usage: 12 MB
% 0.20/0.36 % (7784)Instructions burned: 103 (million)
% 0.20/0.36 % (7786)Instruction limit reached!
% 0.20/0.36 % (7786)------------------------------
% 0.20/0.36 % (7786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (7786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (7786)CaDiCaL version: 2.1.3
% 0.20/0.36 % (7786)Termination reason: Instruction limit
% 0.20/0.36 % (7786)Termination phase: Saturation
% 0.20/0.36 % (7786)Time elapsed: 0.077 s
% 0.20/0.36 % (7786)Peak memory usage: 16 MB
% 0.20/0.36 % (7786)Instructions burned: 136 (million)
% 0.20/0.36 % (7797)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2538588924:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.36 % TRYING [5]
% 0.20/0.36 % (7798)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=3166408386:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.20/0.36 % (7787)Instruction limit reached!
% 0.20/0.36 % (7787)------------------------------
% 0.20/0.36 % (7787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (7787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (7787)CaDiCaL version: 2.1.3
% 0.20/0.36 % (7787)Termination reason: Instruction limit
% 0.20/0.36 % (7787)Termination phase: Saturation
% 0.20/0.36 % (7787)Time elapsed: 0.102 s
% 0.20/0.36 % (7787)Peak memory usage: 14 MB
% 0.20/0.36 % (7787)Instructions burned: 159 (million)
% 0.20/0.36 % (7782) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-7776-7782"...
% 0.20/0.36 % (7782)...printing done.
% 0.20/0.36 % TRYING [5]
% 0.20/0.36 % (7782)Refutation found. Thanks to Tanya!
% 0.20/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.36 % (7782)------------------------------
% 0.20/0.36 % (7782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (7782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (7782)CaDiCaL version: 2.1.3
% 0.20/0.36 % (7782)Termination reason: Refutation
% 0.20/0.36 % (7782)Time elapsed: 0.104 s
% 0.20/0.36 % (7782)Peak memory usage: 13 MB
% 0.20/0.36 % (7782)Instructions burned: 161 (million)
% 0.20/0.36 % (7776)Success in time 0.139 s
% 0.20/0.36 % Vampire exiting
%------------------------------------------------------------------------------