%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL231-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 11:51:41 AM UTC 2026
% Result : Unsatisfiable 6.59s 2.42s
% Output : Refutation 6.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 18 unt; 0 def)
% Number of atoms : 37 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 20 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).
fof(f9,negated_conjecture,
~ theorem(implies(implies(implies(p,q),implies(p,r)),implies(p,implies(q,r)))),
file('/export/starexec/sandbox/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,implies(implies(implies(p,q),implies(p,r)),implies(p,implies(q,r)))))
| ~ theorem(X0) ),
inference(resolution,[],[f8,f9]) ).
fof(f22,plain,
! [X0,X1] :
( ~ theorem(implies(X1,implies(X0,implies(implies(implies(p,q),implies(p,r)),implies(p,implies(q,r))))))
| ~ theorem(X0)
| ~ theorem(X1) ),
inference(resolution,[],[f20,f8]) ).
fof(f23,plain,
! [X2,X0,X1] : theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(resolution,[],[f4,f7]) ).
fof(f34,plain,
! [X2,X0,X1] : theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(resolution,[],[f5,f7]) ).
fof(f59,plain,
! [X2,X0,X1] : theorem(implies(or(X1,or(not(X0),X2)),implies(X0,or(X1,X2)))),
inference(superposition,[],[f23,f6]) ).
fof(f60,plain,
! [X2,X0,X1] : theorem(implies(or(X1,implies(X0,X2)),implies(X0,or(X1,X2)))),
inference(forward_demodulation,[],[f59,f6]) ).
fof(f87,plain,
! [X2,X0,X1] : theorem(implies(implies(X2,X1),implies(or(not(X0),X2),implies(X0,X1)))),
inference(superposition,[],[f34,f6]) ).
fof(f88,plain,
! [X2,X0,X1] : theorem(implies(implies(X2,X1),implies(implies(X0,X2),implies(X0,X1)))),
inference(forward_demodulation,[],[f87,f6]) ).
fof(f137,plain,
! [X2,X0,X1] : theorem(implies(or(not(X0),implies(X2,X1)),implies(X2,implies(X0,X1)))),
inference(superposition,[],[f60,f6]) ).
fof(f138,plain,
! [X2,X0,X1] : theorem(implies(implies(X0,implies(X2,X1)),implies(X2,implies(X0,X1)))),
inference(forward_demodulation,[],[f137,f6]) ).
fof(f174,plain,
! [X0] :
( ~ theorem(implies(X0,implies(p,implies(q,r))))
| ~ theorem(implies(implies(implies(p,q),implies(p,r)),X0)) ),
inference(resolution,[],[f88,f22]) ).
fof(f216,plain,
~ theorem(implies(implies(implies(p,q),implies(p,r)),implies(q,implies(p,r)))),
inference(resolution,[],[f138,f174]) ).
fof(f234,plain,
! [X0] :
( ~ theorem(implies(X0,implies(implies(implies(p,q),implies(p,r)),implies(q,implies(p,r)))))
| ~ theorem(X0) ),
inference(resolution,[],[f216,f8]) ).
fof(f321,plain,
! [X0,X1] :
( ~ theorem(implies(X1,implies(X0,implies(implies(implies(p,q),implies(p,r)),implies(q,implies(p,r))))))
| ~ theorem(X0)
| ~ theorem(X1) ),
inference(resolution,[],[f234,f8]) ).
fof(f600,plain,
! [X0] :
( ~ theorem(implies(implies(implies(p,q),implies(p,r)),implies(X0,implies(q,implies(p,r)))))
| ~ theorem(X0) ),
inference(resolution,[],[f321,f138]) ).
fof(f1149,plain,
~ theorem(implies(q,implies(p,q))),
inference(resolution,[],[f600,f88]) ).
fof(f1151,plain,
$false,
inference(forward_subsumption_resolution,[],[f1149,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL231-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.50 % Computer : n016.cluster.edu
% 0.24/0.50 % Model : x86_64 x86_64
% 0.24/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.50 % Memory : 8046.5625MB
% 0.24/0.50 % OS : Linux 6.8.0-71-generic
% 0.24/0.50 % CPULimit : 300
% 0.24/0.50 % WCLimit : 300
% 0.24/0.50 % DateTime : Sun Sep 27 15:33:32 UTC 2026
% 0.24/0.50 % CPUTime :
% 0.24/0.50 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.57 Running first-order theorem proving
% 0.24/0.57 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
% 6.59/2.42 % (2787793)Input is clausal, will run a generic CNF schedule.
% 6.59/2.42 % (2787804)dis-21_1_sil=8000:lcm=predicate:random_seed=3081225875: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)
% 6.59/2.42 % (2787798)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=3639306717:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.59/2.42 % (2787800)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=776545585:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.59/2.42 % (2787799)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1836342019:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.59/2.42 % (2787804)Instruction limit reached!
% 6.59/2.42 % (2787804)------------------------------
% 6.59/2.42 % (2787804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.59/2.42 % (2787804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/2.42 % (2787804)CaDiCaL version: 2.1.3
% 6.59/2.42 % (2787804)Termination reason: Instruction limit
% 6.59/2.42 % (2787804)Termination phase: Saturation
% 6.59/2.42 % (2787804)Time elapsed: 0.051 s
% 6.59/2.42 % (2787804)Peak memory usage: 87 MB
% 6.59/2.42 % (2787804)Instructions burned: 118 (million)
% 6.59/2.42 % (2787803)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4244701295:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.59/2.42 % (2787802)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2776297432:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.59/2.42 % (2787801)lrs+10_1_sil=8000:sp=occurrence:random_seed=964482869:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.59/2.42 % (2787802)Instruction limit reached!
% 6.59/2.42 % (2787802)------------------------------
% 6.59/2.42 % (2787802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.59/2.42 % (2787802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/2.42 % (2787802)CaDiCaL version: 2.1.3
% 6.59/2.42 % (2787802)Termination reason: Instruction limit
% 6.59/2.42 % (2787802)Termination phase: Saturation
% 6.59/2.42 % (2787802)Time elapsed: 0.097 s
% 6.59/2.42 % (2787802)Peak memory usage: 87 MB
% 6.59/2.42 % (2787802)Instructions burned: 114 (million)
% 6.59/2.42 % (2787803)First to succeed.
% 6.59/2.42 % (2787803)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2787793"
% 6.59/2.42 % (2787801)Instruction limit reached!
% 6.59/2.42 % (2787801)------------------------------
% 6.59/2.42 % (2787801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.59/2.42 % (2787801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/2.42 % (2787801)CaDiCaL version: 2.1.3
% 6.59/2.42 % (2787801)Termination reason: Instruction limit
% 6.59/2.42 % (2787801)Termination phase: Saturation
% 6.59/2.42 % (2787801)Time elapsed: 0.112 s
% 6.59/2.42 % (2787801)Peak memory usage: 89 MB
% 6.59/2.42 % (2787801)Instructions burned: 108 (million)
% 6.59/2.42 % (2787812)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=4227341574:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.59/2.42 % (2787812)Refutation not found, incomplete strategy
% 6.59/2.42 % (2787812)------------------------------
% 6.59/2.42 % (2787812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.59/2.42 % (2787812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/2.42 % (2787812)CaDiCaL version: 2.1.3
% 6.59/2.42 % (2787812)Termination reason: Refutation not found, incomplete strategy
% 6.59/2.42 % (2787812)Time elapsed: 0.001 s
% 6.59/2.42 % (2787812)Peak memory usage: 88 MB
% 6.59/2.42 % (2787813)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1317742681:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 6.59/2.42 % (2787813)Refutation not found, incomplete strategy
% 6.59/2.42 % (2787813)------------------------------
% 6.59/2.42 % (2787813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.59/2.42 % (2787813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/2.42 % (2787813)CaDiCaL version: 2.1.3
% 6.59/2.42 % (2787813)Termination reason: Refutation not found, incomplete strategy
% 6.59/2.42 % (2787813)Time elapsed: 0.002 s
% 6.59/2.42 % (2787813)Peak memory usage: 87 MB
% 6.59/2.42 % (2787814)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1151969596:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 6.59/2.42 % (2787814)Refutation not found, incomplete strategy
% 6.59/2.42 % (2787814)------------------------------
% 6.59/2.42 % (2787814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.59/2.42 % (2787814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/2.42 % (2787814)CaDiCaL version: 2.1.3
% 6.59/2.42 % (2787814)Termination reason: Refutation not found, incomplete strategy
% 6.59/2.42 % (2787814)Time elapsed: 0.001 s
% 6.59/2.42 % (2787814)Peak memory usage: 87 MB
% 6.59/2.42 % (2787812)------------------------------
% 6.59/2.42 % (2787812)------------------------------
% 6.59/2.42 % (2787803)Refutation found. Thanks to Tanya!
% 6.59/2.42 % SZS status Unsatisfiable for theBenchmark
% 6.59/2.42 % SZS output start Proof for theBenchmark
% See solution above
% 6.59/2.42 % (2787803)------------------------------
% 6.59/2.42 % (2787803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.59/2.42 % (2787803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/2.42 % (2787803)CaDiCaL version: 2.1.3
% 6.59/2.42 % (2787803)Termination reason: Refutation
% 6.59/2.42 % (2787803)Time elapsed: 0.105 s
% 6.59/2.42 % (2787803)Peak memory usage: 89 MB
% 6.59/2.42 % (2787803)Instructions burned: 102 (million)
% 6.59/2.42 % (2787803)------------------------------
% 6.59/2.42 % (2787803)------------------------------
% 6.59/2.42 % (2787793)Success in time 0.772 s
% 6.59/2.42 % Vampire exiting
%------------------------------------------------------------------------------