%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL248-3 : 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 : n003.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 11:51:45 AM UTC 2026
% Result : Unsatisfiable 6.82s 2.48s
% Output : Refutation 6.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 38 ( 22 unt; 0 def)
% Number of atoms : 60 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 52 ( 30 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 63 ( 63 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_4) ).
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] :
( theorem(X0)
| ~ axiom(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,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_defn) ).
fof(f10,negated_conjecture,
~ theorem(implies(and(p,q),implies(p,q))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f11,plain,
~ theorem(or(not(not(or(not(p),not(q)))),or(not(p),q))),
inference(definition_unfolding,[],[f10,f6,f9,f6]) ).
fof(f12,plain,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f5,f6,f6,f6]) ).
fof(f13,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f14,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f15,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f16,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f17,plain,
! [X0,X1] :
( ~ theorem(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f19,plain,
! [X0,X1] :
( ~ axiom(or(not(X1),X0))
| ~ theorem(X1)
| theorem(X0) ),
inference(resolution,[],[f17,f7]) ).
fof(f20,plain,
! [X0,X1] :
( theorem(or(X1,X0))
| ~ theorem(X0) ),
inference(resolution,[],[f19,f15]) ).
fof(f21,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f19,f16]) ).
fof(f22,plain,
! [X0,X1] :
( theorem(or(X1,X0))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f19,f14]) ).
fof(f23,plain,
! [X2,X0,X1] :
( theorem(or(X1,or(X0,X2)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f19,f13]) ).
fof(f24,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X2,X0)),or(X2,X1)))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f12,f19]) ).
fof(f36,plain,
~ theorem(or(not(p),or(not(not(or(not(p),not(q)))),q))),
inference(resolution,[],[f23,f11]) ).
fof(f38,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(or(X0,X1),X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f23,f21]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ theorem(or(not(X0),X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f24,f17]) ).
fof(f48,plain,
~ theorem(or(not(not(or(not(p),not(q)))),q)),
inference(resolution,[],[f36,f20]) ).
fof(f64,plain,
! [X0,X1] :
( ~ axiom(or(X0,or(or(X0,X1),X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f38,f7]) ).
fof(f72,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,not(X2)))
| ~ theorem(or(X0,X2))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f39,f22]) ).
fof(f75,plain,
! [X2,X0,X1] :
( ~ axiom(or(not(X2),X1))
| ~ theorem(or(X0,X2))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f39,f7]) ).
fof(f77,plain,
~ theorem(or(q,not(not(or(not(p),not(q)))))),
inference(resolution,[],[f48,f22]) ).
fof(f151,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f64,f15]) ).
fof(f176,plain,
! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f72,f151]) ).
fof(f179,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X2,X1)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f75,f15]) ).
fof(f1960,plain,
~ theorem(or(q,or(not(p),not(q)))),
inference(resolution,[],[f176,f77]) ).
fof(f3218,plain,
~ theorem(or(q,not(q))),
inference(resolution,[],[f1960,f179]) ).
fof(f3322,plain,
~ theorem(or(not(q),q)),
inference(resolution,[],[f3218,f22]) ).
fof(f3325,plain,
$false,
inference(forward_subsumption_resolution,[],[f3322,f151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL248-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.48 % Computer : n003.cluster.edu
% 0.20/0.48 % Model : x86_64 x86_64
% 0.20/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.48 % Memory : 8046.5625MB
% 0.20/0.48 % OS : Linux 6.8.0-71-generic
% 0.20/0.48 % CPULimit : 300
% 0.20/0.48 % WCLimit : 300
% 0.20/0.48 % DateTime : Sun Sep 27 15:32:26 UTC 2026
% 0.20/0.48 % CPUTime :
% 0.20/0.48 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.54 Running first-order theorem proving
% 0.25/0.54 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
% 6.82/2.48 % (714113)Input is clausal, will run a generic CNF schedule.
% 6.82/2.48 % (714118)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=1992893174:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.82/2.48 % (714119)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=425365629:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.82/2.48 % (714120)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3321503358:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.82/2.48 % (714123)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1192315609:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.82/2.48 % (714122)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=368932750:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.82/2.48 % (714121)lrs+10_1_sil=8000:sp=occurrence:random_seed=3005358854:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.82/2.48 % (714124)dis-21_1_sil=8000:lcm=predicate:random_seed=2769131204: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)
% 6.82/2.48 % (714124)Instruction limit reached!
% 6.82/2.48 % (714124)------------------------------
% 6.82/2.48 % (714124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/2.48 % (714124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/2.48 % (714124)CaDiCaL version: 2.1.3
% 6.82/2.48 % (714124)Termination reason: Instruction limit
% 6.82/2.48 % (714124)Termination phase: Saturation
% 6.82/2.48 % (714124)Time elapsed: 0.090 s
% 6.82/2.48 % (714124)Peak memory usage: 87 MB
% 6.82/2.48 % (714124)Instructions burned: 117 (million)
% 6.82/2.48 % (714122)First to succeed.
% 6.82/2.48 % (714122)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-714113"
% 6.82/2.48 % (714121)Instruction limit reached!
% 6.82/2.48 % (714121)------------------------------
% 6.82/2.48 % (714121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/2.48 % (714121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/2.48 % (714121)CaDiCaL version: 2.1.3
% 6.82/2.48 % (714121)Termination reason: Instruction limit
% 6.82/2.48 % (714121)Termination phase: Saturation
% 6.82/2.48 % (714121)Time elapsed: 0.114 s
% 6.82/2.48 % (714121)Peak memory usage: 89 MB
% 6.82/2.48 % (714121)Instructions burned: 108 (million)
% 6.82/2.48 % (714123)Instruction limit reached!
% 6.82/2.48 % (714123)------------------------------
% 6.82/2.48 % (714123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/2.48 % (714123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/2.48 % (714123)CaDiCaL version: 2.1.3
% 6.82/2.48 % (714123)Termination reason: Instruction limit
% 6.82/2.48 % (714123)Termination phase: Saturation
% 6.82/2.48 % (714123)Time elapsed: 0.176 s
% 6.82/2.48 % (714123)Peak memory usage: 89 MB
% 6.82/2.48 % (714123)Instructions burned: 181 (million)
% 6.82/2.48 % (714132)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=1044537821:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 6.82/2.48 % (714132)Refutation not found, incomplete strategy
% 6.82/2.48 % (714132)------------------------------
% 6.82/2.48 % (714132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/2.48 % (714132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/2.48 % (714132)CaDiCaL version: 2.1.3
% 6.82/2.48 % (714132)Termination reason: Refutation not found, incomplete strategy
% 6.82/2.48 % (714132)Time elapsed: 0.002 s
% 6.82/2.48 % (714132)Peak memory usage: 88 MB
% 6.82/2.48 % (714133)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4016917796:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 6.82/2.48 % (714133)Refutation not found, incomplete strategy
% 6.82/2.48 % (714133)------------------------------
% 6.82/2.48 % (714133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/2.48 % (714133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/2.48 % (714133)CaDiCaL version: 2.1.3
% 6.82/2.48 % (714133)Termination reason: Refutation not found, incomplete strategy
% 6.82/2.48 % (714133)Time elapsed: 0.002 s
% 6.82/2.48 % (714133)Peak memory usage: 87 MB
% 6.82/2.48 % (714134)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2812808449:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 6.82/2.48 % (714134)Refutation not found, incomplete strategy
% 6.82/2.48 % (714134)------------------------------
% 6.82/2.48 % (714134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/2.48 % (714134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/2.48 % (714134)CaDiCaL version: 2.1.3
% 6.82/2.48 % (714134)Termination reason: Refutation not found, incomplete strategy
% 6.82/2.48 % (714134)Time elapsed: 0.002 s
% 6.82/2.48 % (714134)Peak memory usage: 88 MB
% 6.82/2.48 % (714122)Refutation found. Thanks to Tanya!
% 6.82/2.48 % SZS status Unsatisfiable for theBenchmark
% 6.82/2.48 % SZS output start Proof for theBenchmark
% See solution above
% 6.82/2.48 % (714122)------------------------------
% 6.82/2.48 % (714122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/2.48 % (714122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/2.48 % (714122)CaDiCaL version: 2.1.3
% 6.82/2.48 % (714122)Termination reason: Refutation
% 6.82/2.48 % (714122)Time elapsed: 0.107 s
% 6.82/2.48 % (714122)Peak memory usage: 89 MB
% 6.82/2.48 % (714122)Instructions burned: 113 (million)
% 6.82/2.48 % (714122)------------------------------
% 6.82/2.48 % (714122)------------------------------
% 6.82/2.48 % (714113)Success in time 0.815 s
% 6.82/2.48 % Vampire exiting
%------------------------------------------------------------------------------