%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD017-3 : 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 : n005.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 09:49:02 AM UTC 2026
% Result : Unsatisfiable 0.27s 1.80s
% Output : Refutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 11 ( 6 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 23 ( 14 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( sum(X0,X1,X2)
| ~ sum(X3,X4,X0)
| ~ sum(X4,X1,X5)
| ~ sum(X3,X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition_2) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f29,axiom,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).
fof(f31,negated_conjecture,
sum(additive_identity,a,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_5) ).
fof(f32,negated_conjecture,
sum(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_6) ).
fof(f33,negated_conjecture,
~ sum(x,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_7) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ sum(X0,X2,c)
| ~ sum(X1,b,X2)
| ~ sum(X0,X1,x) ),
inference(resolution,[],[f2,f33]) ).
fof(f55,plain,
! [X0] :
( ~ sum(X0,b,c)
| ~ sum(additive_identity,X0,x)
| ~ defined(c) ),
inference(resolution,[],[f48,f3]) ).
fof(f57,plain,
! [X0] :
( ~ sum(X0,b,c)
| ~ sum(additive_identity,X0,x) ),
inference(forward_subsumption_resolution,[],[f55,f29]) ).
fof(f70,plain,
~ sum(additive_identity,a,x),
inference(resolution,[],[f57,f32]) ).
fof(f71,plain,
$false,
inference(forward_subsumption_resolution,[],[f70,f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD017-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 % Computer : n005.cluster.edu
% 0.10/0.23 % Model : x86_64 x86_64
% 0.10/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23 % Memory : 8046.5625MB
% 0.10/0.23 % OS : Linux 6.8.0-71-generic
% 0.10/0.23 % CPULimit : 300
% 0.10/0.23 % WCLimit : 300
% 0.10/0.23 % DateTime : Tue Sep 29 00:27:31 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.29 Running first-order theorem proving
% 0.25/0.29 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
% 0.27/1.80 % (1329218)Input is clausal, will run a generic CNF schedule.
% 0.27/1.80 % (1329223)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=3992386761:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.27/1.80 % (1329228)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4154274839:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.27/1.80 % (1329228)First to succeed.
% 0.27/1.80 % (1329228)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1329218"
% 0.27/1.80 % (1329224)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1420124158:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.27/1.80 % (1329225)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3862659659:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.27/1.80 % (1329226)lrs+10_1_sil=8000:sp=occurrence:random_seed=2918541817:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.27/1.80 % (1329226)Also succeeded, but the first one will report.
% 0.27/1.80 % (1329227)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1542611190:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.27/1.80 % (1329229)dis-21_1_sil=8000:lcm=predicate:random_seed=2564490201: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)
% 0.27/1.80 % (1329227)Also succeeded, but the first one will report.
% 0.27/1.80 % (1329229)Instruction limit reached!
% 0.27/1.80 % (1329229)------------------------------
% 0.27/1.80 % (1329229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.27/1.80 % (1329229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/1.80 % (1329229)CaDiCaL version: 2.1.3
% 0.27/1.80 % (1329229)Termination reason: Instruction limit
% 0.27/1.80 % (1329229)Termination phase: Saturation
% 0.27/1.80 % (1329229)Time elapsed: 0.104 s
% 0.27/1.80 % (1329229)Peak memory usage: 89 MB
% 0.27/1.80 % (1329229)Instructions burned: 118 (million)
% 0.27/1.80 % (1329237)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=2119172229:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 0.27/1.80 % (1329237)Also succeeded, but the first one will report.
% 0.27/1.80 % (1329228)Refutation found. Thanks to Tanya!
% 0.27/1.80 % SZS status Unsatisfiable for theBenchmark
% 0.27/1.80 % SZS output start Proof for theBenchmark
% See solution above
% 0.27/1.80 % (1329228)------------------------------
% 0.27/1.80 % (1329228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.27/1.80 % (1329228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/1.80 % (1329228)CaDiCaL version: 2.1.3
% 0.27/1.80 % (1329228)Termination reason: Refutation
% 0.27/1.80 % (1329228)Time elapsed: 0.005 s
% 0.27/1.80 % (1329228)Peak memory usage: 88 MB
% 0.27/1.80 % (1329228)Instructions burned: 3 (million)
% 0.27/1.80 % (1329228)------------------------------
% 0.27/1.80 % (1329228)------------------------------
% 0.27/1.80 % (1329218)Success in time 0.637 s
% 0.27/1.80 % Vampire exiting
%------------------------------------------------------------------------------