%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD070-1 : 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 : n020.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 09:49:20 AM UTC 2026
% Result : Unsatisfiable 0.20s 1.30s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 44 ( 26 ~; 18 |; 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 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,X1)
| ~ less_or_equal(X0,X2)
| ~ 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(X0,X1)
| ~ less_or_equal(X2,X1)
| ~ equalish(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_order_relation) ).
fof(f29,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f30,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_3) ).
fof(f31,negated_conjecture,
less_or_equal(additive_identity,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_4) ).
fof(f32,negated_conjecture,
~ less_or_equal(additive_identity,add(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_5) ).
fof(f50,plain,
! [X0] :
( ~ less_or_equal(X0,add(a,b))
| ~ less_or_equal(additive_identity,X0) ),
inference(resolution,[],[f17,f32]) ).
fof(f104,plain,
! [X0,X1] :
( ~ less_or_equal(X1,add(a,b))
| ~ less_or_equal(additive_identity,X0)
| ~ equalish(X1,X0) ),
inference(resolution,[],[f50,f26]) ).
fof(f230,plain,
! [X0,X1] :
( ~ less_or_equal(additive_identity,X0)
| ~ equalish(add(X1,b),X0)
| ~ defined(b)
| ~ less_or_equal(X1,a) ),
inference(resolution,[],[f104,f19]) ).
fof(f238,plain,
! [X0,X1] :
( ~ equalish(add(X1,b),X0)
| ~ less_or_equal(additive_identity,X0)
| ~ less_or_equal(X1,a) ),
inference(forward_subsumption_resolution,[],[f230,f29]) ).
fof(f978,plain,
( ~ less_or_equal(additive_identity,b)
| ~ less_or_equal(additive_identity,a)
| ~ defined(b) ),
inference(resolution,[],[f238,f2]) ).
fof(f997,plain,
( ~ less_or_equal(additive_identity,a)
| ~ defined(b) ),
inference(forward_subsumption_resolution,[],[f978,f31]) ).
fof(f998,plain,
~ defined(b),
inference(forward_subsumption_resolution,[],[f997,f30]) ).
fof(f999,plain,
$false,
inference(forward_subsumption_resolution,[],[f998,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD070-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n020.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 00:49:50 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 0.20/1.30 % (739316)Input is clausal, will run a generic CNF schedule.
% 0.20/1.30 % (739327)dis-21_1_sil=8000:lcm=predicate:random_seed=875250911: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)
% 0.20/1.30 % (739327)Instruction limit reached!
% 0.20/1.30 % (739327)------------------------------
% 0.20/1.30 % (739327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.30 % (739327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.30 % (739327)CaDiCaL version: 2.1.3
% 0.20/1.30 % (739327)Termination reason: Instruction limit
% 0.20/1.30 % (739327)Termination phase: Saturation
% 0.20/1.30 % (739327)Time elapsed: 0.028 s
% 0.20/1.30 % (739327)Peak memory usage: 88 MB
% 0.20/1.30 % (739327)Instructions burned: 118 (million)
% 0.20/1.30 % (739326)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=144566853:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.20/1.30 % (739325)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=769701751:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.20/1.30 % (739322)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1116988253:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.20/1.30 % (739321)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=2974553712:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.20/1.30 % (739324)lrs+10_1_sil=8000:sp=occurrence:random_seed=1027621896:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.20/1.30 % (739323)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2304144290:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.20/1.30 % (739325)First to succeed.
% 0.20/1.30 % (739325)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-739316"
% 0.20/1.30 % (739326)Also succeeded, but the first one will report.
% 0.20/1.30 % (739324)Instruction limit reached!
% 0.20/1.30 % (739324)------------------------------
% 0.20/1.30 % (739324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.30 % (739324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.30 % (739324)CaDiCaL version: 2.1.3
% 0.20/1.30 % (739324)Termination reason: Instruction limit
% 0.20/1.30 % (739324)Termination phase: Saturation
% 0.20/1.30 % (739324)Time elapsed: 0.068 s
% 0.20/1.30 % (739324)Peak memory usage: 89 MB
% 0.20/1.30 % (739324)Instructions burned: 108 (million)
% 0.20/1.30 % (739335)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=3989576022:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 0.20/1.30 % (739335)Instruction limit reached!
% 0.20/1.30 % (739335)------------------------------
% 0.20/1.30 % (739335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.30 % (739335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.30 % (739335)CaDiCaL version: 2.1.3
% 0.20/1.30 % (739335)Termination reason: Instruction limit
% 0.20/1.30 % (739335)Termination phase: Saturation
% 0.20/1.30 % (739335)Time elapsed: 0.045 s
% 0.20/1.30 % (739335)Peak memory usage: 89 MB
% 0.20/1.30 % (739335)Instructions burned: 146 (million)
% 0.20/1.30 % (739336)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1087225268: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)
% 0.20/1.30 % (739336)Also succeeded, but the first one will report.
% 0.20/1.30 % (739325)Refutation found. Thanks to Tanya!
% 0.20/1.30 % SZS status Unsatisfiable for theBenchmark
% 0.20/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.30 % (739325)------------------------------
% 0.20/1.30 % (739325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.30 % (739325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.30 % (739325)CaDiCaL version: 2.1.3
% 0.20/1.30 % (739325)Termination reason: Refutation
% 0.20/1.30 % (739325)Time elapsed: 0.017 s
% 0.20/1.30 % (739325)Peak memory usage: 88 MB
% 0.20/1.30 % (739325)Instructions burned: 23 (million)
% 0.20/1.30 % (739325)------------------------------
% 0.20/1.30 % (739325)------------------------------
% 0.20/1.30 % (739316)Success in time 0.45 s
% 0.20/1.30 % Vampire exiting
%------------------------------------------------------------------------------