%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD013-5 : 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 : n011.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 3.57s 1.06s
% Output : Refutation 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 22 ( 12 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 33 ( 17 ~; 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 : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X4,X5,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X3,X5,X1)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition_1) ).
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/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(f5,axiom,
! [X2,X0,X1] :
( ~ sum(X1,X0,X2)
| sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f33,negated_conjecture,
sum(additive_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_7) ).
fof(f34,negated_conjecture,
sum(additive_identity,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_8) ).
fof(f35,negated_conjecture,
sum(a,c,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_9) ).
fof(f36,negated_conjecture,
sum(d,b,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_10) ).
fof(f37,negated_conjecture,
~ sum(additive_identity,u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_11) ).
fof(f38,plain,
sum(a,additive_identity,b),
inference(resolution,[],[f5,f33]) ).
fof(f40,plain,
! [X0] :
( sum(X0,additive_identity,X0)
| ~ defined(X0) ),
inference(resolution,[],[f5,f3]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ sum(X1,c,X2)
| ~ sum(X0,X1,a)
| sum(X0,X2,u) ),
inference(resolution,[],[f1,f35]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ sum(X0,b,X2)
| sum(X1,additive_identity,X2)
| ~ sum(X0,a,X1) ),
inference(resolution,[],[f2,f38]) ).
fof(f75,plain,
! [X0] :
( ~ sum(X0,additive_identity,a)
| sum(X0,d,u) ),
inference(resolution,[],[f47,f34]) ).
fof(f147,plain,
( sum(a,d,u)
| ~ defined(a) ),
inference(resolution,[],[f75,f40]) ).
fof(f148,plain,
sum(a,d,u),
inference(forward_subsumption_resolution,[],[f147,f27]) ).
fof(f153,plain,
sum(d,a,u),
inference(resolution,[],[f148,f5]) ).
fof(f319,plain,
! [X0] :
( ~ sum(d,a,X0)
| sum(X0,additive_identity,v) ),
inference(resolution,[],[f56,f36]) ).
fof(f448,plain,
sum(u,additive_identity,v),
inference(resolution,[],[f319,f153]) ).
fof(f458,plain,
sum(additive_identity,u,v),
inference(resolution,[],[f448,f5]) ).
fof(f459,plain,
$false,
inference(forward_subsumption_resolution,[],[f458,f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD013-5 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n011.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 00:26:07 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 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
% 3.57/1.06 % (3948872)Input is clausal, will run a generic CNF schedule.
% 3.57/1.06 % (3948882)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2112323250:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.57/1.06 % (3948881)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1963415876:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.57/1.06 % (3948879)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=898550437:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.57/1.06 % (3948878)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1587656871:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.57/1.06 % (3948880)lrs+10_1_sil=8000:sp=occurrence:random_seed=2485317961:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.57/1.06 % (3948883)dis-21_1_sil=8000:lcm=predicate:random_seed=2708083272: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)
% 3.57/1.06 % (3948877)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=3167843041:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.57/1.06 % (3948880)First to succeed.
% 3.57/1.06 % (3948880)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3948872"
% 3.57/1.06 % (3948882)Instruction limit reached!
% 3.57/1.06 % (3948882)------------------------------
% 3.57/1.06 % (3948882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.06 % (3948882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.06 % (3948882)CaDiCaL version: 2.1.3
% 3.57/1.06 % (3948882)Termination reason: Instruction limit
% 3.57/1.06 % (3948882)Termination phase: Saturation
% 3.57/1.06 % (3948882)Time elapsed: 0.057 s
% 3.57/1.06 % (3948882)Peak memory usage: 89 MB
% 3.57/1.06 % (3948882)Instructions burned: 180 (million)
% 3.57/1.06 % (3948881)Also succeeded, but the first one will report.
% 3.57/1.06 % (3948883)Instruction limit reached!
% 3.57/1.06 % (3948883)------------------------------
% 3.57/1.06 % (3948883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.06 % (3948883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.06 % (3948883)CaDiCaL version: 2.1.3
% 3.57/1.06 % (3948883)Termination reason: Instruction limit
% 3.57/1.06 % (3948883)Termination phase: Saturation
% 3.57/1.06 % (3948883)Time elapsed: 0.074 s
% 3.57/1.06 % (3948883)Peak memory usage: 89 MB
% 3.57/1.06 % (3948883)Instructions burned: 118 (million)
% 3.57/1.06 % (3948891)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=3614266142:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.57/1.06 % (3948891)Instruction limit reached!
% 3.57/1.06 % (3948891)------------------------------
% 3.57/1.06 % (3948891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.06 % (3948891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.06 % (3948891)CaDiCaL version: 2.1.3
% 3.57/1.06 % (3948891)Termination reason: Instruction limit
% 3.57/1.06 % (3948891)Termination phase: Saturation
% 3.57/1.06 % (3948891)Time elapsed: 0.040 s
% 3.57/1.06 % (3948891)Peak memory usage: 88 MB
% 3.57/1.06 % (3948891)Instructions burned: 143 (million)
% 3.57/1.06 % (3948892)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1109441819: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)
% 3.57/1.06 % (3948892)Also succeeded, but the first one will report.
% 3.57/1.06 % (3948880)Refutation found. Thanks to Tanya!
% 3.57/1.06 % SZS status Unsatisfiable for theBenchmark
% 3.57/1.06 % SZS output start Proof for theBenchmark
% See solution above
% 3.57/1.06 % (3948880)------------------------------
% 3.57/1.06 % (3948880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.06 % (3948880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.06 % (3948880)CaDiCaL version: 2.1.3
% 3.57/1.06 % (3948880)Termination reason: Refutation
% 3.57/1.06 % (3948880)Time elapsed: 0.008 s
% 3.57/1.06 % (3948880)Peak memory usage: 88 MB
% 3.57/1.06 % (3948880)Instructions burned: 13 (million)
% 3.57/1.06 % (3948880)------------------------------
% 3.57/1.06 % (3948880)------------------------------
% 3.57/1.06 % (3948872)Success in time 0.444 s
% 3.57/1.06 % Vampire exiting
%------------------------------------------------------------------------------