%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD022-3 : 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 : n015.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 09:49:03 AM UTC 2026
% Result : Unsatisfiable 4.10s 1.37s
% Output : Refutation 4.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 21 ( 8 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 69 ( 40 ~; 29 |; 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 : 41 ( 41 !; 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/sandbox2/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/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(f4,axiom,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f5,axiom,
! [X2,X0,X1] :
( sum(X0,X1,X2)
| ~ sum(X1,X0,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(f29,axiom,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).
fof(f31,negated_conjecture,
sum(a,c,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_5) ).
fof(f32,negated_conjecture,
sum(b,c,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_6) ).
fof(f33,negated_conjecture,
~ sum(additive_identity,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_7) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ sum(X0,X2,b)
| ~ sum(X1,a,X2)
| ~ sum(X0,X1,additive_identity) ),
inference(resolution,[],[f2,f33]) ).
fof(f65,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X4,X5,b)
| ~ sum(X2,X0,additive_identity)
| ~ sum(X2,X3,X4)
| ~ sum(X3,X5,X1)
| ~ sum(X0,a,X1) ),
inference(resolution,[],[f47,f1]) ).
fof(f240,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X0,X2,additive_identity)
| ~ sum(X2,b,X3)
| ~ sum(X1,a,X3)
| ~ defined(b) ),
inference(resolution,[],[f65,f3]) ).
fof(f247,plain,
! [X2,X3,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X0,X2,additive_identity)
| ~ sum(X2,b,X3)
| ~ sum(X1,a,X3) ),
inference(forward_subsumption_resolution,[],[f240,f28]) ).
fof(f916,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,additive_identity)
| ~ sum(X1,b,X2)
| ~ sum(X1,a,X2) ),
inference(factoring,[],[f247]) ).
fof(f1089,plain,
! [X0,X1] :
( ~ sum(X0,a,X1)
| ~ sum(X0,b,X1)
| ~ defined(X0) ),
inference(resolution,[],[f916,f4]) ).
fof(f1224,plain,
! [X0,X1] :
( ~ sum(a,X0,X1)
| ~ defined(X0)
| ~ sum(X0,b,X1) ),
inference(resolution,[],[f1089,f5]) ).
fof(f1279,plain,
( ~ defined(c)
| ~ sum(c,b,u) ),
inference(resolution,[],[f1224,f31]) ).
fof(f1281,plain,
~ sum(c,b,u),
inference(forward_subsumption_resolution,[],[f1279,f29]) ).
fof(f1288,plain,
~ sum(b,c,u),
inference(resolution,[],[f1281,f5]) ).
fof(f1289,plain,
$false,
inference(forward_subsumption_resolution,[],[f1288,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD022-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n015.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 00:26:33 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 4.10/1.37 % (3195850)Input is clausal, will run a generic CNF schedule.
% 4.10/1.37 % (3195856)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3764688318:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.10/1.37 % (3195857)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2555378966:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.10/1.37 % (3195858)lrs+10_1_sil=8000:sp=occurrence:random_seed=2804029810:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.10/1.37 % (3195859)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3086969052:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.10/1.37 % (3195855)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=30356857:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.10/1.37 % (3195860)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1805730003:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.10/1.37 % (3195858)Refutation not found, incomplete strategy
% 4.10/1.37 % (3195858)------------------------------
% 4.10/1.37 % (3195858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.37 % (3195858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.37 % (3195858)CaDiCaL version: 2.1.3
% 4.10/1.37 % (3195858)Termination reason: Refutation not found, incomplete strategy
% 4.10/1.37 % (3195858)Time elapsed: 0.003 s
% 4.10/1.37 % (3195858)Peak memory usage: 87 MB
% 4.10/1.37 % (3195858)Instructions burned: 4 (million)
% 4.10/1.37 % (3195861)dis-21_1_sil=8000:lcm=predicate:random_seed=3510623364: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)
% 4.10/1.37 % (3195860)First to succeed.
% 4.10/1.37 % (3195860)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3195850"
% 4.10/1.37 % (3195859)Instruction limit reached!
% 4.10/1.37 % (3195859)------------------------------
% 4.10/1.37 % (3195859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.37 % (3195859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.37 % (3195859)CaDiCaL version: 2.1.3
% 4.10/1.37 % (3195859)Termination reason: Instruction limit
% 4.10/1.37 % (3195859)Termination phase: Saturation
% 4.10/1.37 % (3195859)Time elapsed: 0.065 s
% 4.10/1.37 % (3195859)Peak memory usage: 87 MB
% 4.10/1.37 % (3195859)Instructions burned: 116 (million)
% 4.10/1.37 % (3195861)Instruction limit reached!
% 4.10/1.37 % (3195861)------------------------------
% 4.10/1.37 % (3195861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.37 % (3195861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.37 % (3195861)CaDiCaL version: 2.1.3
% 4.10/1.37 % (3195861)Termination reason: Instruction limit
% 4.10/1.37 % (3195861)Termination phase: Saturation
% 4.10/1.37 % (3195861)Time elapsed: 0.075 s
% 4.10/1.37 % (3195861)Peak memory usage: 89 MB
% 4.10/1.37 % (3195861)Instructions burned: 117 (million)
% 4.10/1.37 % (3195869)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=3161329402:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.10/1.37 % (3195870)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2062674699: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)
% 4.10/1.37 % (3195858)------------------------------
% 4.10/1.37 % (3195858)------------------------------
% 4.10/1.37 % (3195869)Instruction limit reached!
% 4.10/1.37 % (3195869)------------------------------
% 4.10/1.37 % (3195869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.37 % (3195869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.37 % (3195869)CaDiCaL version: 2.1.3
% 4.10/1.37 % (3195869)Termination reason: Instruction limit
% 4.10/1.37 % (3195869)Termination phase: Saturation
% 4.10/1.37 % (3195869)Time elapsed: 0.091 s
% 4.10/1.37 % (3195869)Peak memory usage: 89 MB
% 4.10/1.37 % (3195869)Instructions burned: 143 (million)
% 4.10/1.37 % (3195870)Instruction limit reached!
% 4.10/1.37 % (3195870)------------------------------
% 4.10/1.37 % (3195870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.37 % (3195870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.37 % (3195870)CaDiCaL version: 2.1.3
% 4.10/1.37 % (3195870)Termination reason: Instruction limit
% 4.10/1.37 % (3195870)Termination phase: Saturation
% 4.10/1.37 % (3195870)Time elapsed: 0.095 s
% 4.10/1.37 % (3195870)Peak memory usage: 93 MB
% 4.10/1.37 % (3195870)Instructions burned: 190 (million)
% 4.10/1.37 % (3195856)Also succeeded, but the first one will report.
% 4.10/1.37 % (3195860)Refutation found. Thanks to Tanya!
% 4.10/1.37 % SZS status Unsatisfiable for theBenchmark
% 4.10/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 4.10/1.37 % (3195860)------------------------------
% 4.10/1.37 % (3195860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.37 % (3195860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.37 % (3195860)CaDiCaL version: 2.1.3
% 4.10/1.37 % (3195860)Termination reason: Refutation
% 4.10/1.37 % (3195860)Time elapsed: 0.062 s
% 4.10/1.37 % (3195860)Peak memory usage: 89 MB
% 4.10/1.37 % (3195860)Instructions burned: 107 (million)
% 4.10/1.37 % (3195860)------------------------------
% 4.10/1.37 % (3195860)------------------------------
% 4.10/1.37 % (3195850)Success in time 0.493 s
% 4.10/1.37 % Vampire exiting
%------------------------------------------------------------------------------