%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD059-3 : 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 2.65s 1.18s
% Output : Refutation 2.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 58 ( 33 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f19,axiom,
! [X0,X1] :
( sum(X0,X1,add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',transitivity_of_order_relation) ).
fof(f24,axiom,
! [X2,X3,X0,X1,X4] :
( ~ sum(X3,X4,X1)
| ~ less_or_equal(X2,X3)
| ~ sum(X2,X4,X0)
| less_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_2) ).
fof(f29,negated_conjecture,
~ less_or_equal(additive_identity,add(a,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_3) ).
fof(f30,plain,
! [X0] :
( ~ less_or_equal(X0,add(a,a))
| ~ less_or_equal(additive_identity,X0) ),
inference(resolution,[],[f22,f29]) ).
fof(f62,plain,
! [X2,X3,X0,X1] :
( less_or_equal(X3,add(X1,X2))
| ~ sum(X0,X2,X3)
| ~ less_or_equal(X0,X1)
| ~ defined(X1)
| ~ defined(X2) ),
inference(resolution,[],[f24,f19]) ).
fof(f209,plain,
! [X0,X1] :
( ~ sum(X0,a,X1)
| ~ less_or_equal(X0,a)
| ~ defined(a)
| ~ defined(a)
| ~ less_or_equal(additive_identity,X1) ),
inference(resolution,[],[f62,f30]) ).
fof(f222,plain,
! [X0,X1] :
( ~ sum(X0,a,X1)
| ~ less_or_equal(X0,a)
| ~ defined(a)
| ~ less_or_equal(additive_identity,X1) ),
inference(duplicate_literal_removal,[],[f209]) ).
fof(f230,plain,
! [X0,X1] :
( ~ sum(X0,a,X1)
| ~ less_or_equal(X0,a)
| ~ less_or_equal(additive_identity,X1) ),
inference(forward_subsumption_resolution,[],[f222,f27]) ).
fof(f293,plain,
( ~ less_or_equal(additive_identity,a)
| ~ less_or_equal(additive_identity,a)
| ~ defined(a) ),
inference(resolution,[],[f230,f3]) ).
fof(f299,plain,
( ~ less_or_equal(additive_identity,a)
| ~ defined(a) ),
inference(duplicate_literal_removal,[],[f293]) ).
fof(f302,plain,
~ defined(a),
inference(forward_subsumption_resolution,[],[f299,f28]) ).
fof(f303,plain,
$false,
inference(forward_subsumption_resolution,[],[f302,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD059-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n009.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 00:44:00 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 2.65/1.18 % (3661841)Input is clausal, will run a generic CNF schedule.
% 2.65/1.18 % (3661960)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=954400247:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.65/1.18 % (3661960)First to succeed.
% 2.65/1.18 % (3661960)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3661841"
% 2.65/1.18 % (3661959)lrs+10_1_sil=8000:sp=occurrence:random_seed=3526891098:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.65/1.18 % (3661957)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=995249022:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.65/1.18 % (3661956)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1277331990:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.65/1.18 % (3661961)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3040423637:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.65/1.18 % (3661962)dis-21_1_sil=8000:lcm=predicate:random_seed=1485698345: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)
% 2.65/1.18 % (3661955)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=3257608175:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.65/1.18 % (3661961)Also succeeded, but the first one will report.
% 2.65/1.18 % (3661959)Instruction limit reached!
% 2.65/1.18 % (3661959)------------------------------
% 2.65/1.18 % (3661959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.18 % (3661959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.18 % (3661959)CaDiCaL version: 2.1.3
% 2.65/1.18 % (3661959)Termination reason: Instruction limit
% 2.65/1.18 % (3661959)Termination phase: Saturation
% 2.65/1.18 % (3661959)Time elapsed: 0.048 s
% 2.65/1.18 % (3661959)Peak memory usage: 87 MB
% 2.65/1.18 % (3661959)Instructions burned: 108 (million)
% 2.65/1.18 % (3661960)Refutation found. Thanks to Tanya!
% 2.65/1.18 % SZS status Unsatisfiable for theBenchmark
% 2.65/1.18 % SZS output start Proof for theBenchmark
% See solution above
% 2.65/1.18 % (3661960)------------------------------
% 2.65/1.18 % (3661960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.18 % (3661960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.18 % (3661960)CaDiCaL version: 2.1.3
% 2.65/1.18 % (3661960)Termination reason: Refutation
% 2.65/1.18 % (3661960)Time elapsed: 0.005 s
% 2.65/1.18 % (3661960)Peak memory usage: 88 MB
% 2.65/1.18 % (3661960)Instructions burned: 12 (million)
% 2.65/1.18 % (3661960)------------------------------
% 2.65/1.18 % (3661960)------------------------------
% 2.65/1.18 % (3661841)Success in time 0.294 s
% 2.65/1.18 % Vampire exiting
%------------------------------------------------------------------------------