%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD070-3 : 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 : n006.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 09:49:49 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.34s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 10 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 56 ( 24 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
fof(f19,axiom,
! [X0,X1] :
( sum(X0,X1,add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',totality_of_addition) ).
fof(f22,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/FLD002-0.ax',transitivity_of_order_relation) ).
fof(f24,axiom,
! [X2,X3,X0,X1,X4] :
( less_or_equal(X0,X1)
| ~ less_or_equal(X2,X3)
| ~ sum(X2,X4,X0)
| ~ sum(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).
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,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_3) ).
fof(f30,negated_conjecture,
less_or_equal(additive_identity,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_4) ).
fof(f31,negated_conjecture,
~ less_or_equal(additive_identity,add(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_5) ).
fof(f34,plain,
! [X0] :
( ~ sum(additive_identity,X0,X0)
| ~ defined(X0) ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f41,plain,
! [X0,X1] :
( ~ sum(X0,X1,add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ less_or_equal(X0,X1)
| less_or_equal(X0,X2)
| less_or_equal(X2,X1) ),
inference(consistent_polarity_flipping,[],[f22]) ).
fof(f45,plain,
! [X2,X3,X0,X1,X4] :
( ~ less_or_equal(X0,X1)
| less_or_equal(X2,X3)
| sum(X2,X4,X0)
| sum(X3,X4,X1) ),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f48,plain,
~ less_or_equal(additive_identity,a),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f49,plain,
~ less_or_equal(additive_identity,b),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f50,plain,
less_or_equal(additive_identity,add(a,b)),
inference(consistent_polarity_flipping,[],[f31]) ).
fof(f53,plain,
! [X0] :
( less_or_equal(X0,add(a,b))
| less_or_equal(additive_identity,X0) ),
inference(resolution,[],[f43,f50]) ).
fof(f98,plain,
! [X2,X3,X0,X1] :
( less_or_equal(X0,X1)
| sum(X0,X2,X3)
| sum(X1,X2,add(a,b))
| less_or_equal(additive_identity,X3) ),
inference(resolution,[],[f45,f53]) ).
fof(f446,plain,
! [X0,X1] :
( less_or_equal(X0,a)
| sum(X0,b,X1)
| less_or_equal(additive_identity,X1)
| ~ defined(a)
| ~ defined(b) ),
inference(resolution,[],[f98,f41]) ).
fof(f452,plain,
! [X0,X1] :
( less_or_equal(X0,a)
| sum(X0,b,X1)
| less_or_equal(additive_identity,X1)
| ~ defined(b) ),
inference(forward_subsumption_resolution,[],[f446,f27]) ).
fof(f454,plain,
! [X0,X1] :
( sum(X0,b,X1)
| less_or_equal(X0,a)
| less_or_equal(additive_identity,X1) ),
inference(forward_subsumption_resolution,[],[f452,f28]) ).
fof(f3138,plain,
( less_or_equal(additive_identity,a)
| less_or_equal(additive_identity,b)
| ~ defined(b) ),
inference(resolution,[],[f454,f34]) ).
fof(f3150,plain,
( less_or_equal(additive_identity,b)
| ~ defined(b) ),
inference(forward_subsumption_resolution,[],[f3138,f48]) ).
fof(f3151,plain,
~ defined(b),
inference(forward_subsumption_resolution,[],[f3150,f49]) ).
fof(f3152,plain,
$false,
inference(forward_subsumption_resolution,[],[f3151,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD070-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n006.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 00:48:40 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.18/0.34 % (367245)Will run a generic schedule for satisfiability detection.
% 0.18/0.34 % (367252)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3874834664:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.34 % (367251)% WARNING: option uhcvi not known.
% 0.18/0.34 % (367250)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1342021931_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.34 % (367251)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1876394151:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.34 % (367253)dis+10_1_sil=32000:sp=arity:random_seed=3552159280:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.34 % (367254)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=794019255:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.34 % (367256)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=926912685:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.34 % (367255)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4074637948:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.34 % TRYING [1]
% 0.18/0.34 % TRYING [2]
% 0.18/0.34 % TRYING [3]
% 0.18/0.34 % TRYING [4]
% 0.18/0.34 % TRYING [5]
% 0.18/0.34 % (367256)Instruction limit reached!
% 0.18/0.34 % (367256)------------------------------
% 0.18/0.34 % (367256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.34 % (367256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.34 % (367256)CaDiCaL version: 2.1.3
% 0.18/0.34 % (367256)Termination reason: Instruction limit
% 0.18/0.34 % (367256)Termination phase: Saturation
% 0.18/0.34 % (367256)Time elapsed: 0.053 s
% 0.18/0.34 % (367256)Peak memory usage: 11 MB
% 0.18/0.34 % (367256)Instructions burned: 162 (million)
% 0.18/0.34 % (367253)Instruction limit reached!
% 0.18/0.34 % (367253)------------------------------
% 0.18/0.34 % (367253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.34 % (367253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.34 % (367253)CaDiCaL version: 2.1.3
% 0.18/0.34 % (367253)Termination reason: Instruction limit
% 0.18/0.34 % (367253)Termination phase: Saturation
% 0.18/0.34 % (367253)Time elapsed: 0.059 s
% 0.18/0.34 % (367253)Peak memory usage: 11 MB
% 0.18/0.34 % (367253)Instructions burned: 103 (million)
% 0.18/0.34 % (367254)Instruction limit reached!
% 0.18/0.34 % (367254)------------------------------
% 0.18/0.34 % (367254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.34 % (367254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.34 % (367254)CaDiCaL version: 2.1.3
% 0.18/0.34 % (367254)Termination reason: Instruction limit
% 0.18/0.34 % (367254)Termination phase: Saturation
% 0.18/0.34 % (367254)Time elapsed: 0.063 s
% 0.18/0.34 % (367254)Peak memory usage: 12 MB
% 0.18/0.34 % (367254)Instructions burned: 117 (million)
% 0.18/0.34 % (367264)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2539899151:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.18/0.34 % TRYING [1]
% 0.18/0.34 % TRYING [2]
% 0.18/0.34 % TRYING [3]
% 0.18/0.34 % (367255)Instruction limit reached!
% 0.18/0.34 % (367255)------------------------------
% 0.18/0.34 % (367255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.34 % (367255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.34 % (367255)CaDiCaL version: 2.1.3
% 0.18/0.34 % (367255)Termination reason: Instruction limit
% 0.18/0.34 % (367255)Termination phase: Saturation
% 0.18/0.34 % (367255)Time elapsed: 0.077 s
% 0.18/0.34 % (367255)Peak memory usage: 14 MB
% 0.18/0.34 % (367255)Instructions burned: 133 (million)
% 0.18/0.34 % (367265)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2361108371:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.34 % TRYING [4]
% 0.18/0.34 % (367266)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=1952503845:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.18/0.34 % (367251) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-367245-367251"...
% 0.18/0.34 % (367251)...printing done.
% 0.18/0.34 % (367251)Refutation found. Thanks to Tanya!
% 0.18/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.34 % (367251)------------------------------
% 0.18/0.34 % (367251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.34 % (367251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.34 % (367251)CaDiCaL version: 2.1.3
% 0.18/0.34 % (367251)Termination reason: Refutation
% 0.18/0.34 % (367251)Time elapsed: 0.085 s
% 0.18/0.34 % (367251)Peak memory usage: 12 MB
% 0.18/0.34 % (367251)Instructions burned: 154 (million)
% 0.18/0.34 % (367245)Success in time 0.122 s
% 0.18/0.34 % Vampire exiting
%------------------------------------------------------------------------------