%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD061-1 : 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 : n001.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 09:49:46 AM UTC 2026
% Result : Unsatisfiable 0.52s 0.36s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 12 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 50 ( 17 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 29 ( 29 !; 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(f17,axiom,
! [X2,X0,X1] :
( less_or_equal(X0,X1)
| ~ less_or_equal(X0,X2)
| ~ less_or_equal(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',transitivity_of_order_relation) ).
fof(f19,axiom,
! [X2,X0,X1] :
( less_or_equal(add(X0,X1),add(X2,X1))
| ~ defined(X1)
| ~ less_or_equal(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_order_relation_and_addition) ).
fof(f26,axiom,
! [X2,X0,X1] :
( less_or_equal(X0,X1)
| ~ less_or_equal(X2,X1)
| ~ equalish(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_order_relation) ).
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(f32,negated_conjecture,
less_or_equal(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_5) ).
fof(f33,negated_conjecture,
less_or_equal(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_6) ).
fof(f34,negated_conjecture,
~ less_or_equal(add(a,c),add(d,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_7) ).
fof(f38,plain,
! [X0,X1] :
( ~ equalish(add(X0,X1),add(X1,X0))
| defined(X0)
| defined(X1) ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ less_or_equal(X0,X1)
| less_or_equal(X0,X2)
| less_or_equal(X2,X1) ),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ less_or_equal(add(X0,X1),add(X2,X1))
| defined(X1)
| less_or_equal(X0,X2) ),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ less_or_equal(X0,X1)
| less_or_equal(X2,X1)
| equalish(X2,X0) ),
inference(consistent_polarity_flipping,[],[f26]) ).
fof(f63,plain,
~ defined(b),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f64,plain,
~ defined(c),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f66,plain,
~ less_or_equal(a,b),
inference(consistent_polarity_flipping,[],[f32]) ).
fof(f67,plain,
~ less_or_equal(c,d),
inference(consistent_polarity_flipping,[],[f33]) ).
fof(f68,plain,
less_or_equal(add(a,c),add(d,b)),
inference(consistent_polarity_flipping,[],[f34]) ).
fof(f83,plain,
! [X0] :
( less_or_equal(add(a,c),X0)
| less_or_equal(X0,add(d,b)) ),
inference(resolution,[],[f51,f68]) ).
fof(f145,plain,
! [X0] :
( defined(c)
| less_or_equal(a,X0)
| less_or_equal(add(X0,c),add(d,b)) ),
inference(resolution,[],[f53,f83]) ).
fof(f153,plain,
! [X0] :
( less_or_equal(add(X0,c),add(d,b))
| less_or_equal(a,X0) ),
inference(forward_subsumption_resolution,[],[f145,f64]) ).
fof(f181,plain,
! [X0,X1] :
( less_or_equal(X1,add(d,b))
| equalish(X1,add(X0,c))
| less_or_equal(a,X0) ),
inference(resolution,[],[f153,f60]) ).
fof(f650,plain,
! [X0] :
( less_or_equal(add(c,X0),add(d,b))
| less_or_equal(a,X0)
| defined(c)
| defined(X0) ),
inference(resolution,[],[f181,f38]) ).
fof(f657,plain,
! [X0] :
( less_or_equal(add(c,X0),add(d,b))
| less_or_equal(a,X0)
| defined(X0) ),
inference(forward_subsumption_resolution,[],[f650,f64]) ).
fof(f4707,plain,
( less_or_equal(a,b)
| defined(b)
| defined(b)
| less_or_equal(c,d) ),
inference(resolution,[],[f657,f53]) ).
fof(f4713,plain,
( less_or_equal(a,b)
| defined(b)
| less_or_equal(c,d) ),
inference(duplicate_literal_removal,[],[f4707]) ).
fof(f4715,plain,
( defined(b)
| less_or_equal(c,d) ),
inference(forward_subsumption_resolution,[],[f4713,f66]) ).
fof(f4716,plain,
less_or_equal(c,d),
inference(forward_subsumption_resolution,[],[f4715,f63]) ).
fof(f4717,plain,
$false,
inference(forward_subsumption_resolution,[],[f4716,f67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD061-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n001.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 00:53:17 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.52/0.36 % (912735)Will run a generic schedule for satisfiability detection.
% 0.52/0.36 % (912741)% WARNING: option uhcvi not known.
% 0.52/0.36 % (912740)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2043500736_2999 on theBenchmark for (2999ds/0Mi)
% 0.52/0.36 % (912742)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1295612565:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.52/0.36 % (912744)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2617295586:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.52/0.36 % (912741)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=87818585:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.52/0.36 % (912743)dis+10_1_sil=32000:sp=arity:random_seed=2505456796:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.52/0.36 % TRYING [1]
% 0.52/0.36 % TRYING [2]
% 0.52/0.36 % (912745)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2798947093:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.52/0.36 % TRYING [3]
% 0.52/0.36 % TRYING [4]
% 0.52/0.36 % (912746)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3911967448:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.52/0.36 % TRYING [5]
% 0.52/0.36 % (912746)Instruction limit reached!
% 0.52/0.36 % (912746)------------------------------
% 0.52/0.36 % (912746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.36 % (912746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.36 % (912746)CaDiCaL version: 2.1.3
% 0.52/0.36 % (912746)Termination reason: Instruction limit
% 0.52/0.36 % (912746)Termination phase: Saturation
% 0.52/0.36 % (912746)Time elapsed: 0.052 s
% 0.52/0.36 % (912746)Peak memory usage: 10 MB
% 0.52/0.36 % (912746)Instructions burned: 159 (million)
% 0.52/0.36 % (912744)Instruction limit reached!
% 0.52/0.36 % (912744)------------------------------
% 0.52/0.36 % (912744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.36 % (912744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.36 % (912744)CaDiCaL version: 2.1.3
% 0.52/0.36 % (912744)Termination reason: Instruction limit
% 0.52/0.36 % (912744)Termination phase: Saturation
% 0.52/0.36 % (912744)Time elapsed: 0.065 s
% 0.52/0.36 % (912744)Peak memory usage: 12 MB
% 0.52/0.36 % (912744)Instructions burned: 116 (million)
% 0.52/0.36 % (912743)Instruction limit reached!
% 0.52/0.36 % (912743)------------------------------
% 0.52/0.36 % (912743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.36 % (912743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.36 % (912743)CaDiCaL version: 2.1.3
% 0.52/0.36 % (912743)Termination reason: Instruction limit
% 0.52/0.36 % (912743)Termination phase: Saturation
% 0.52/0.36 % (912743)Time elapsed: 0.066 s
% 0.52/0.36 % (912743)Peak memory usage: 12 MB
% 0.52/0.36 % (912743)Instructions burned: 104 (million)
% 0.52/0.36 % (912745)Instruction limit reached!
% 0.52/0.36 % (912745)------------------------------
% 0.52/0.36 % (912745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.36 % (912745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.36 % (912745)CaDiCaL version: 2.1.3
% 0.52/0.36 % (912745)Termination reason: Instruction limit
% 0.52/0.36 % (912745)Termination phase: Saturation
% 0.52/0.36 % (912745)Time elapsed: 0.076 s
% 0.52/0.36 % (912745)Peak memory usage: 15 MB
% 0.52/0.36 % (912745)Instructions burned: 131 (million)
% 0.52/0.36 % (912769)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1595696953:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.52/0.36 % TRYING [1]
% 0.52/0.36 % TRYING [2]
% 0.52/0.36 % TRYING [3]
% 0.52/0.36 % (912772)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2178412699:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.52/0.36 % (912773)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=881999634:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.52/0.36 % TRYING [4]
% 0.52/0.36 % (912741) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-912735-912741"...
% 0.52/0.36 % (912741)...printing done.
% 0.52/0.36 % (912741)Refutation found. Thanks to Tanya!
% 0.52/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.52/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.52/0.36 % (912741)------------------------------
% 0.52/0.36 % (912741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.52/0.36 % (912741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.52/0.36 % (912741)CaDiCaL version: 2.1.3
% 0.52/0.36 % (912741)Termination reason: Refutation
% 0.52/0.36 % (912741)Time elapsed: 0.092 s
% 0.52/0.36 % (912741)Peak memory usage: 13 MB
% 0.52/0.36 % (912741)Instructions burned: 147 (million)
% 0.52/0.36 % (912735)Success in time 0.131 s
% 0.52/0.36 % Vampire exiting
%------------------------------------------------------------------------------