%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD059-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 09:49:16 AM UTC 2026
% Result : Unsatisfiable 3.47s 1.17s
% Output : Refutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 41 ( 23 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] :
( equalish(add(additive_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ less_or_equal(X0,X2)
| less_or_equal(X0,X1)
| ~ less_or_equal(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).
fof(f26,axiom,
! [X2,X0,X1] :
( ~ less_or_equal(X2,X1)
| less_or_equal(X0,X1)
| ~ equalish(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_order_relation) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f29,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_2) ).
fof(f30,negated_conjecture,
~ less_or_equal(additive_identity,add(a,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_3) ).
fof(f44,plain,
! [X0] :
( ~ less_or_equal(a,X0)
| less_or_equal(additive_identity,X0) ),
inference(resolution,[],[f17,f29]) ).
fof(f71,plain,
! [X2,X3,X0,X1] :
( less_or_equal(X3,add(X2,X0))
| ~ less_or_equal(X1,X2)
| ~ defined(X0)
| ~ equalish(add(X1,X0),X3) ),
inference(resolution,[],[f19,f26]) ).
fof(f239,plain,
! [X2,X0,X1] :
( less_or_equal(additive_identity,add(X1,X2))
| ~ defined(X2)
| ~ equalish(add(X0,X2),a)
| ~ less_or_equal(X0,X1) ),
inference(resolution,[],[f71,f44]) ).
fof(f264,plain,
! [X0] :
( ~ defined(a)
| ~ equalish(add(X0,a),a)
| ~ less_or_equal(X0,a) ),
inference(resolution,[],[f239,f30]) ).
fof(f268,plain,
! [X0] :
( ~ equalish(add(X0,a),a)
| ~ less_or_equal(X0,a) ),
inference(forward_subsumption_resolution,[],[f264,f28]) ).
fof(f271,plain,
( ~ less_or_equal(additive_identity,a)
| ~ defined(a) ),
inference(resolution,[],[f268,f2]) ).
fof(f274,plain,
~ defined(a),
inference(forward_subsumption_resolution,[],[f271,f29]) ).
fof(f275,plain,
$false,
inference(forward_subsumption_resolution,[],[f274,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD059-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n009.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 00:43:46 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.47/1.17 % (3661278)Input is clausal, will run a generic CNF schedule.
% 3.47/1.17 % (3661284)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2701458260:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.47/1.17 % (3661287)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1652741069:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.47/1.17 % (3661286)lrs+10_1_sil=8000:sp=occurrence:random_seed=4054580506:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.47/1.17 % (3661289)dis-21_1_sil=8000:lcm=predicate:random_seed=3964174425:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.47/1.17 % (3661288)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1080724583:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.47/1.17 % (3661283)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3602219926:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.47/1.17 % (3661285)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3816028261:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.47/1.17 % (3661288)First to succeed.
% 3.47/1.17 % (3661288)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3661278"
% 3.47/1.17 % (3661287)Also succeeded, but the first one will report.
% 3.47/1.17 % (3661289)Instruction limit reached!
% 3.47/1.17 % (3661289)------------------------------
% 3.47/1.17 % (3661289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.17 % (3661289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.17 % (3661289)CaDiCaL version: 2.1.3
% 3.47/1.17 % (3661289)Termination reason: Instruction limit
% 3.47/1.17 % (3661289)Termination phase: Saturation
% 3.47/1.17 % (3661289)Time elapsed: 0.052 s
% 3.47/1.17 % (3661289)Peak memory usage: 88 MB
% 3.47/1.17 % (3661289)Instructions burned: 118 (million)
% 3.47/1.17 % (3661286)Instruction limit reached!
% 3.47/1.17 % (3661286)------------------------------
% 3.47/1.17 % (3661286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.17 % (3661286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.17 % (3661286)CaDiCaL version: 2.1.3
% 3.47/1.17 % (3661286)Termination reason: Instruction limit
% 3.47/1.17 % (3661286)Termination phase: Saturation
% 3.47/1.17 % (3661286)Time elapsed: 0.068 s
% 3.47/1.17 % (3661286)Peak memory usage: 89 MB
% 3.47/1.17 % (3661286)Instructions burned: 108 (million)
% 3.47/1.17 % (3661297)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3286702905:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.47/1.17 % (3661298)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3238991197:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.47/1.17 % (3661298)Also succeeded, but the first one will report.
% 3.47/1.17 % (3661288)Refutation found. Thanks to Tanya!
% 3.47/1.17 % SZS status Unsatisfiable for theBenchmark
% 3.47/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 3.47/1.18 % (3661288)------------------------------
% 3.47/1.18 % (3661288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.18 % (3661288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.18 % (3661288)CaDiCaL version: 2.1.3
% 3.47/1.18 % (3661288)Termination reason: Refutation
% 3.47/1.18 % (3661288)Time elapsed: 0.007 s
% 3.47/1.18 % (3661288)Peak memory usage: 88 MB
% 3.47/1.18 % (3661288)Instructions burned: 8 (million)
% 3.47/1.18 % (3661288)------------------------------
% 3.47/1.18 % (3661288)------------------------------
% 3.47/1.18 % (3661278)Success in time 0.413 s
% 3.47/1.18 % Vampire exiting
%------------------------------------------------------------------------------