%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL188-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 11:51:28 AM UTC 2026
% Result : Unsatisfiable 2.55s 1.33s
% Output : Refutation 2.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 16 unt; 0 def)
% Number of atoms : 30 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 15 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).
fof(f9,negated_conjecture,
~ theorem(or(p,implies(or(p,q),q))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f11,plain,
! [X0,X1] : theorem(implies(X0,or(X1,X0))),
inference(resolution,[],[f2,f7]) ).
fof(f15,plain,
! [X0,X1] : theorem(implies(X1,implies(X0,X1))),
inference(superposition,[],[f11,f6]) ).
fof(f20,plain,
! [X0] :
( ~ theorem(implies(X0,or(p,implies(or(p,q),q))))
| ~ theorem(X0) ),
inference(resolution,[],[f8,f9]) ).
fof(f24,plain,
! [X2,X0,X1] : theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(resolution,[],[f4,f7]) ).
fof(f59,plain,
! [X2,X0,X1] : theorem(implies(or(not(X0),or(X2,X1)),or(X2,implies(X0,X1)))),
inference(superposition,[],[f24,f6]) ).
fof(f60,plain,
! [X2,X0,X1] : theorem(implies(or(X1,or(not(X0),X2)),implies(X0,or(X1,X2)))),
inference(superposition,[],[f24,f6]) ).
fof(f61,plain,
! [X2,X0,X1] : theorem(implies(or(X1,implies(X0,X2)),implies(X0,or(X1,X2)))),
inference(forward_demodulation,[],[f60,f6]) ).
fof(f62,plain,
! [X2,X0,X1] : theorem(implies(implies(X0,or(X2,X1)),or(X2,implies(X0,X1)))),
inference(forward_demodulation,[],[f59,f6]) ).
fof(f135,plain,
! [X2,X0,X1] : theorem(implies(or(not(X0),implies(X2,X1)),implies(X2,implies(X0,X1)))),
inference(superposition,[],[f61,f6]) ).
fof(f136,plain,
! [X2,X0,X1] : theorem(implies(implies(X0,implies(X2,X1)),implies(X2,implies(X0,X1)))),
inference(forward_demodulation,[],[f135,f6]) ).
fof(f139,plain,
~ theorem(implies(or(p,q),or(p,q))),
inference(resolution,[],[f62,f20]) ).
fof(f144,plain,
! [X0] :
( ~ theorem(implies(X0,implies(or(p,q),or(p,q))))
| ~ theorem(X0) ),
inference(resolution,[],[f139,f8]) ).
fof(f190,plain,
! [X0,X1] :
( ~ theorem(implies(X1,implies(X0,implies(or(p,q),or(p,q)))))
| ~ theorem(X0)
| ~ theorem(X1) ),
inference(resolution,[],[f144,f8]) ).
fof(f348,plain,
! [X0] :
( ~ theorem(X0)
| ~ theorem(implies(or(p,q),implies(X0,or(p,q)))) ),
inference(resolution,[],[f190,f136]) ).
fof(f350,plain,
! [X0] : ~ theorem(X0),
inference(forward_subsumption_resolution,[],[f348,f15]) ).
fof(f364,plain,
$false,
inference(resolution,[],[f350,f62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL188-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n008.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 15:26:25 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 2.55/1.33 % (1378970)Input is clausal, will run a generic CNF schedule.
% 2.55/1.33 % (1378995)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2475722206:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.55/1.33 % (1378995)First to succeed.
% 2.55/1.33 % (1378995)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1378970"
% 2.55/1.33 % (1378996)dis-21_1_sil=8000:lcm=predicate:random_seed=4036300362: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)
% 2.55/1.33 % (1378994)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3183670341:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.55/1.33 % (1378991)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3861369539:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.55/1.33 % (1378990)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=344537597:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.55/1.33 % (1378992)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4084134686:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.55/1.33 % (1378993)lrs+10_1_sil=8000:sp=occurrence:random_seed=1520409961:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.55/1.33 % (1378993)Also succeeded, but the first one will report.
% 2.55/1.33 % (1378996)Instruction limit reached!
% 2.55/1.33 % (1378996)------------------------------
% 2.55/1.33 % (1378996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.33 % (1378996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.33 % (1378996)CaDiCaL version: 2.1.3
% 2.55/1.33 % (1378996)Termination reason: Instruction limit
% 2.55/1.33 % (1378996)Termination phase: Saturation
% 2.55/1.33 % (1378996)Time elapsed: 0.059 s
% 2.55/1.33 % (1378996)Peak memory usage: 87 MB
% 2.55/1.33 % (1378996)Instructions burned: 117 (million)
% 2.55/1.33 % (1378994)Instruction limit reached!
% 2.55/1.33 % (1378994)------------------------------
% 2.55/1.33 % (1378994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.33 % (1378994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.33 % (1378994)CaDiCaL version: 2.1.3
% 2.55/1.33 % (1378994)Termination reason: Instruction limit
% 2.55/1.33 % (1378994)Termination phase: Saturation
% 2.55/1.33 % (1378994)Time elapsed: 0.070 s
% 2.55/1.33 % (1378994)Peak memory usage: 88 MB
% 2.55/1.33 % (1378994)Instructions burned: 116 (million)
% 2.55/1.33 % (1378995)Refutation found. Thanks to Tanya!
% 2.55/1.33 % SZS status Unsatisfiable for theBenchmark
% 2.55/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 2.55/1.33 % (1378995)------------------------------
% 2.55/1.33 % (1378995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.33 % (1378995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.33 % (1378995)CaDiCaL version: 2.1.3
% 2.55/1.33 % (1378995)Termination reason: Refutation
% 2.55/1.33 % (1378995)Time elapsed: 0.009 s
% 2.55/1.33 % (1378995)Peak memory usage: 88 MB
% 2.55/1.33 % (1378995)Instructions burned: 23 (million)
% 2.55/1.33 % (1378995)------------------------------
% 2.55/1.33 % (1378995)------------------------------
% 2.55/1.33 % (1378970)Success in time 0.272 s
% 2.55/1.33 % Vampire exiting
%------------------------------------------------------------------------------