%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL982+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 11:57:24 AM UTC 2026
% Result : Theorem 5.41s 1.94s
% Output : Refutation 5.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 12 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 12 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 70 ( 67 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X0,X1,X2,X3,X4] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X2,implies(X3,X4)),implies(X1,implies(not(X3),not(X0)))),implies(X0,X3)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a5) ).
fof(f3,conjecture,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_1) ).
fof(f4,negated_conjecture,
~ ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
? [X0,X1,X2] : ~ is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(ennf_transformation,[],[f4]) ).
fof(f6,plain,
~ is_a_theorem(implies(implies(sK0,sK1),implies(implies(sK1,sK2),implies(sK0,sK2)))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f5]) ).
fof(f7,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f8,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X2,implies(X3,X4)),implies(X1,implies(not(X3),not(X0)))),implies(X0,X3)))),
inference(cnf_transformation,[],[f2]) ).
fof(f9,plain,
~ is_a_theorem(implies(implies(sK0,sK1),implies(implies(sK1,sK2),implies(sK0,sK2)))),
inference(cnf_transformation,[],[f6]) ).
fof(f10,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(implies(X2,implies(X3,X4)),implies(X1,implies(not(X3),not(X0)))),implies(X0,X3))) ),
inference(resolution,[],[f8,f7]) ).
fof(f11,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(implies(implies(implies(X3,implies(X4,X5)),implies(X6,implies(not(X4),not(X7)))),implies(X7,X4)),implies(not(X1),not(implies(X7,X6))))),implies(implies(X7,X6),X1))),
inference(resolution,[],[f10,f8]) ).
fof(f12,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(implies(implies(X3,X4),X5),implies(not(X1),not(implies(implies(X6,implies(X5,X7)),implies(implies(implies(implies(X8,implies(X9,X10)),implies(X4,implies(not(X9),not(X3)))),implies(X3,X9)),implies(not(X5),not(implies(X3,X4))))))))),implies(implies(implies(X6,implies(X5,X7)),implies(implies(implies(implies(X8,implies(X9,X10)),implies(X4,implies(not(X9),not(X3)))),implies(X3,X9)),implies(not(X5),not(implies(X3,X4))))),X1))),
inference(resolution,[],[f11,f10]) ).
fof(f13,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(implies(implies(X3,implies(X4,X5)),implies(X6,implies(not(X4),not(X7)))),implies(X7,X4)),implies(not(X1),not(implies(X7,X6))))))
| is_a_theorem(implies(implies(X7,X6),X1)) ),
inference(resolution,[],[f11,f7]) ).
fof(f17,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(implies(implies(implies(implies(implies(X0,implies(X1,X2)),implies(X3,implies(not(X1),not(X4)))),implies(X4,X1)),X5),implies(implies(X4,X3),X5))),
inference(resolution,[],[f12,f13]) ).
fof(f21,plain,
! [X2,X3,X0,X1,X4,X5] :
( is_a_theorem(implies(implies(X4,X3),X5))
| ~ is_a_theorem(implies(implies(implies(implies(X0,implies(X1,X2)),implies(X3,implies(not(X1),not(X4)))),implies(X4,X1)),X5)) ),
inference(resolution,[],[f17,f7]) ).
fof(f24,plain,
! [X2,X0,X1] : ~ is_a_theorem(implies(implies(implies(implies(X0,implies(X1,X2)),implies(sK1,implies(not(X1),not(sK0)))),implies(sK0,X1)),implies(implies(sK1,sK2),implies(sK0,sK2)))),
inference(resolution,[],[f21,f9]) ).
fof(f33,plain,
$false,
inference(resolution,[],[f24,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL982+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 % Computer : n026.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 27 17:13:11 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.49 Running first-order theorem proving
% 0.24/0.49 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
% 5.41/1.94 % (3076323)Detected formulas, will run a generic FOF schedule.
% 5.41/1.94 % (3076334)dis-21_1_sil=8000:lcm=predicate:random_seed=1019585369:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.41/1.94 % (3076328)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=628936570:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.41/1.94 % (3076329)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2789347221:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.41/1.94 % (3076330)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3848779814:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.41/1.94 % (3076332)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3790157761:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.41/1.94 % (3076331)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=725747020:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.41/1.94 % (3076333)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3028332949:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.41/1.94 % (3076331)Refutation not found, incomplete strategy
% 5.41/1.94 % (3076331)------------------------------
% 5.41/1.94 % (3076331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.94 % (3076332)Refutation not found, incomplete strategy
% 5.41/1.94 % (3076332)------------------------------
% 5.41/1.94 % (3076332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.94 % (3076331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.94 % (3076332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.94 % (3076331)CaDiCaL version: 2.1.3
% 5.41/1.94 % (3076332)CaDiCaL version: 2.1.3
% 5.41/1.94 % (3076332)Termination reason: Refutation not found, incomplete strategy
% 5.41/1.94 % (3076332)Time elapsed: 0.001 s
% 5.41/1.94 % (3076331)Termination reason: Refutation not found, incomplete strategy
% 5.41/1.94 % (3076331)Time elapsed: 0.001 s
% 5.41/1.94 % (3076331)Peak memory usage: 87 MB
% 5.41/1.94 % (3076332)Peak memory usage: 87 MB
% 5.41/1.94 % (3076333)First to succeed.
% 5.41/1.94 % (3076333)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3076323"
% 5.41/1.94 % (3076334)Instruction limit reached!
% 5.41/1.94 % (3076334)------------------------------
% 5.41/1.94 % (3076334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.94 % (3076334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.94 % (3076334)CaDiCaL version: 2.1.3
% 5.41/1.94 % (3076334)Termination reason: Instruction limit
% 5.41/1.94 % (3076334)Termination phase: Saturation
% 5.41/1.94 % (3076334)Time elapsed: 0.084 s
% 5.41/1.94 % (3076334)Peak memory usage: 88 MB
% 5.41/1.94 % (3076334)Instructions burned: 129 (million)
% 5.41/1.94 % (3076342)lrs+10_1_sil=8000:sp=occurrence:random_seed=1097242265:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.41/1.94 % (3076342)Also succeeded, but the first one will report.
% 5.41/1.94 % (3076331)------------------------------
% 5.41/1.94 % (3076331)------------------------------
% 5.41/1.94 % (3076332)------------------------------
% 5.41/1.94 % (3076332)------------------------------
% 5.41/1.94 % (3076333)Refutation found. Thanks to Tanya!
% 5.41/1.94 % SZS status Theorem for theBenchmark
% 5.41/1.94 % SZS output start Proof for theBenchmark
% See solution above
% 5.41/1.94 % (3076333)------------------------------
% 5.41/1.94 % (3076333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.94 % (3076333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.94 % (3076333)CaDiCaL version: 2.1.3
% 5.41/1.94 % (3076333)Termination reason: Refutation
% 5.41/1.94 % (3076333)Time elapsed: 0.006 s
% 5.41/1.94 % (3076333)Peak memory usage: 88 MB
% 5.41/1.94 % (3076333)Instructions burned: 4 (million)
% 5.41/1.94 % (3076333)------------------------------
% 5.41/1.94 % (3076333)------------------------------
% 5.41/1.94 % (3076323)Success in time 0.646 s
% 5.41/1.94 % Vampire exiting
%------------------------------------------------------------------------------