%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD013-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 09:49:00 AM UTC 2026
% Result : Unsatisfiable 3.59s 1.19s
% Output : Refutation 3.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 11 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 34 ( 18 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X4,X1,X5)
| ~ sum(X3,X4,X0)
| sum(X0,X1,X2)
| ~ sum(X3,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_addition_2) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ sum(X1,X0,X2)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f31,axiom,
defined(u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_is_defined) ).
fof(f32,negated_conjecture,
sum(additive_identity,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_6) ).
fof(f33,negated_conjecture,
sum(additive_identity,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_7) ).
fof(f34,negated_conjecture,
sum(a,c,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_8) ).
fof(f35,negated_conjecture,
~ sum(d,b,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_9) ).
fof(f37,plain,
sum(c,additive_identity,d),
inference(resolution,[],[f5,f33]) ).
fof(f50,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,additive_identity,X1)
| sum(X1,X2,X3)
| ~ sum(X0,X2,X3)
| ~ defined(X2) ),
inference(resolution,[],[f2,f3]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ sum(X0,u,X2)
| sum(X1,c,X2)
| ~ sum(X0,a,X1) ),
inference(resolution,[],[f2,f34]) ).
fof(f83,plain,
! [X0] :
( sum(X0,c,u)
| ~ sum(additive_identity,a,X0)
| ~ defined(u) ),
inference(resolution,[],[f51,f3]) ).
fof(f84,plain,
! [X0] :
( ~ sum(additive_identity,a,X0)
| sum(X0,c,u) ),
inference(forward_subsumption_resolution,[],[f83,f31]) ).
fof(f123,plain,
! [X0,X1] :
( ~ sum(c,X0,X1)
| sum(d,X0,X1)
| ~ defined(X0) ),
inference(resolution,[],[f50,f37]) ).
fof(f150,plain,
sum(b,c,u),
inference(resolution,[],[f84,f32]) ).
fof(f157,plain,
sum(c,b,u),
inference(resolution,[],[f150,f5]) ).
fof(f200,plain,
( sum(d,b,u)
| ~ defined(b) ),
inference(resolution,[],[f123,f157]) ).
fof(f202,plain,
~ defined(b),
inference(forward_subsumption_resolution,[],[f200,f35]) ).
fof(f203,plain,
$false,
inference(forward_subsumption_resolution,[],[f202,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD013-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n013.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 00:25:46 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.59/1.19 % (1741671)Input is clausal, will run a generic CNF schedule.
% 3.59/1.19 % (1741678)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2513807583:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.59/1.19 % (1741676)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=1310235796:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.59/1.19 % (1741677)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2679517647:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.59/1.19 % (1741679)lrs+10_1_sil=8000:sp=occurrence:random_seed=2906760739:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.59/1.19 % (1741682)dis-21_1_sil=8000:lcm=predicate:random_seed=194921653: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)
% 3.59/1.19 % (1741680)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2955196085:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.59/1.19 % (1741681)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1872817215:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.59/1.19 % (1741679)First to succeed.
% 3.59/1.19 % (1741679)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1741671"
% 3.59/1.19 % (1741680)Also succeeded, but the first one will report.
% 3.59/1.19 % (1741682)Instruction limit reached!
% 3.59/1.19 % (1741682)------------------------------
% 3.59/1.19 % (1741682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.19 % (1741682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.19 % (1741682)CaDiCaL version: 2.1.3
% 3.59/1.19 % (1741682)Termination reason: Instruction limit
% 3.59/1.19 % (1741682)Termination phase: Saturation
% 3.59/1.19 % (1741682)Time elapsed: 0.066 s
% 3.59/1.19 % (1741682)Peak memory usage: 88 MB
% 3.59/1.19 % (1741682)Instructions burned: 118 (million)
% 3.59/1.19 % (1741681)Instruction limit reached!
% 3.59/1.19 % (1741681)------------------------------
% 3.59/1.19 % (1741681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.19 % (1741681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.19 % (1741681)CaDiCaL version: 2.1.3
% 3.59/1.19 % (1741681)Termination reason: Instruction limit
% 3.59/1.19 % (1741681)Termination phase: Saturation
% 3.59/1.19 % (1741681)Time elapsed: 0.106 s
% 3.59/1.19 % (1741681)Peak memory usage: 88 MB
% 3.59/1.19 % (1741681)Instructions burned: 182 (million)
% 3.59/1.19 % (1741690)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=1056181185:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.59/1.19 % (1741679)Refutation found. Thanks to Tanya!
% 3.59/1.19 % SZS status Unsatisfiable for theBenchmark
% 3.59/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 3.59/1.19 % (1741679)------------------------------
% 3.59/1.19 % (1741679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.19 % (1741679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.19 % (1741679)CaDiCaL version: 2.1.3
% 3.59/1.19 % (1741679)Termination reason: Refutation
% 3.59/1.19 % (1741679)Time elapsed: 0.005 s
% 3.59/1.19 % (1741679)Peak memory usage: 87 MB
% 3.59/1.19 % (1741679)Instructions burned: 5 (million)
% 3.59/1.19 % (1741679)------------------------------
% 3.59/1.19 % (1741679)------------------------------
% 3.59/1.19 % (1741671)Success in time 0.434 s
% 3.59/1.19 % Vampire exiting
%------------------------------------------------------------------------------