%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD016-3 : 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 09:49:01 AM UTC 2026
% Result : Unsatisfiable 4.20s 1.33s
% Output : Refutation 4.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 18 ( 7 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 61 ( 35 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X3,X5,X1)
| ~ sum(X4,X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition_1) ).
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(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f30,axiom,
defined(v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_is_defined) ).
fof(f31,negated_conjecture,
sum(a,u,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_5) ).
fof(f32,negated_conjecture,
sum(a,v,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_6) ).
fof(f33,negated_conjecture,
~ sum(additive_identity,u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_7) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ sum(X0,X2,v)
| ~ sum(X1,u,X2)
| ~ sum(X0,X1,additive_identity) ),
inference(resolution,[],[f2,f33]) ).
fof(f64,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X4,X5,v)
| ~ sum(X2,X0,additive_identity)
| ~ sum(X2,X3,X4)
| ~ sum(X3,X5,X1)
| ~ sum(X0,u,X1) ),
inference(resolution,[],[f47,f1]) ).
fof(f219,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X0,X2,additive_identity)
| ~ sum(X2,v,X3)
| ~ sum(X1,u,X3)
| ~ defined(v) ),
inference(resolution,[],[f64,f3]) ).
fof(f223,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X0,X2,additive_identity)
| ~ sum(X2,v,X3)
| ~ sum(X1,u,X3) ),
inference(forward_subsumption_resolution,[],[f219,f30]) ).
fof(f957,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X1,v,X2)
| ~ sum(X1,u,X2) ),
inference(factoring,[],[f223]) ).
fof(f1438,plain,
! [X0,X1] :
( ~ sum(X0,v,X1)
| ~ sum(X0,u,X1)
| ~ defined(X0) ),
inference(resolution,[],[f957,f4]) ).
fof(f1553,plain,
( ~ sum(a,u,b)
| ~ defined(a) ),
inference(resolution,[],[f1438,f32]) ).
fof(f1555,plain,
~ defined(a),
inference(forward_subsumption_resolution,[],[f1553,f31]) ).
fof(f1557,plain,
$false,
inference(forward_subsumption_resolution,[],[f1555,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD016-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n009.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Tue Sep 29 00:27:30 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 Running first-order theorem proving
% 0.07/0.20 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
% 4.20/1.33 % (3652367)Input is clausal, will run a generic CNF schedule.
% 4.20/1.33 % (3652373)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2242602492:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.20/1.33 % (3652374)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1568151498:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.20/1.33 % (3652372)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=2578261287:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.20/1.33 % (3652378)dis-21_1_sil=8000:lcm=predicate:random_seed=1375630421: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)
% 4.20/1.33 % (3652375)lrs+10_1_sil=8000:sp=occurrence:random_seed=400744254:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.20/1.33 % (3652377)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2116704432:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.20/1.33 % (3652376)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=998570102:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.20/1.33 % (3652375)Refutation not found, incomplete strategy
% 4.20/1.33 % (3652375)------------------------------
% 4.20/1.33 % (3652375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.33 % (3652375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.33 % (3652375)CaDiCaL version: 2.1.3
% 4.20/1.33 % (3652375)Termination reason: Refutation not found, incomplete strategy
% 4.20/1.33 % (3652375)Time elapsed: 0.003 s
% 4.20/1.33 % (3652375)Peak memory usage: 87 MB
% 4.20/1.33 % (3652375)Instructions burned: 4 (million)
% 4.20/1.33 % (3652376)Instruction limit reached!
% 4.20/1.33 % (3652376)------------------------------
% 4.20/1.33 % (3652376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.33 % (3652376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.33 % (3652376)CaDiCaL version: 2.1.3
% 4.20/1.33 % (3652376)Termination reason: Instruction limit
% 4.20/1.33 % (3652376)Termination phase: Saturation
% 4.20/1.33 % (3652376)Time elapsed: 0.064 s
% 4.20/1.33 % (3652376)Peak memory usage: 87 MB
% 4.20/1.33 % (3652376)Instructions burned: 115 (million)
% 4.20/1.33 % (3652377)First to succeed.
% 4.20/1.33 % (3652377)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3652367"
% 4.20/1.33 % (3652378)Instruction limit reached!
% 4.20/1.33 % (3652378)------------------------------
% 4.20/1.33 % (3652378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.33 % (3652378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.33 % (3652378)CaDiCaL version: 2.1.3
% 4.20/1.33 % (3652378)Termination reason: Instruction limit
% 4.20/1.33 % (3652378)Termination phase: Saturation
% 4.20/1.33 % (3652378)Time elapsed: 0.076 s
% 4.20/1.33 % (3652378)Peak memory usage: 89 MB
% 4.20/1.33 % (3652378)Instructions burned: 118 (million)
% 4.20/1.33 % (3652386)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=2672726662:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.20/1.33 % (3652375)------------------------------
% 4.20/1.33 % (3652375)------------------------------
% 4.20/1.33 % (3652387)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3400576092: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)
% 4.20/1.33 % (3652386)Instruction limit reached!
% 4.20/1.33 % (3652386)------------------------------
% 4.20/1.33 % (3652386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.33 % (3652386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.33 % (3652386)CaDiCaL version: 2.1.3
% 4.20/1.33 % (3652386)Termination reason: Instruction limit
% 4.20/1.33 % (3652386)Termination phase: Saturation
% 4.20/1.33 % (3652386)Time elapsed: 0.082 s
% 4.20/1.33 % (3652386)Peak memory usage: 89 MB
% 4.20/1.33 % (3652386)Instructions burned: 143 (million)
% 4.20/1.33 % (3652377)Refutation found. Thanks to Tanya!
% 4.20/1.33 % SZS status Unsatisfiable for theBenchmark
% 4.20/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 4.20/1.33 % (3652377)------------------------------
% 4.20/1.33 % (3652377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.33 % (3652377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.33 % (3652377)CaDiCaL version: 2.1.3
% 4.20/1.33 % (3652377)Termination reason: Refutation
% 4.20/1.33 % (3652377)Time elapsed: 0.071 s
% 4.20/1.33 % (3652377)Peak memory usage: 89 MB
% 4.20/1.33 % (3652377)Instructions burned: 122 (million)
% 4.20/1.33 % (3652377)------------------------------
% 4.20/1.33 % (3652377)------------------------------
% 4.20/1.33 % (3652367)Success in time 0.504 s
% 4.20/1.33 % Vampire exiting
%------------------------------------------------------------------------------