%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL208-3 : 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 : n014.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 11:51:34 AM UTC 2026
% Result : Unsatisfiable 5.82s 1.79s
% Output : Refutation 5.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 27 unt; 0 def)
% Number of atoms : 35 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 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 : 55 ( 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',axiom_1_6) ).
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(implies(or(p,q),implies(not(p),q))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f10,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f11,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f12,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,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,
! [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(f15,plain,
! [X0,X1] :
( ~ theorem(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f16,plain,
~ theorem(or(not(or(p,q)),or(not(not(p)),q))),
inference(definition_unfolding,[],[f9,f6,f6]) ).
fof(f17,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(unit_resulting_resolution,[],[f7,f14]) ).
fof(f19,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(unit_resulting_resolution,[],[f7,f12]) ).
fof(f23,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X0,or(X2,X1)))),
inference(unit_resulting_resolution,[],[f15,f19,f17]) ).
fof(f35,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(unit_resulting_resolution,[],[f7,f11]) ).
fof(f46,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(unit_resulting_resolution,[],[f7,f13]) ).
fof(f47,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),or(X0,X2)))),
inference(unit_resulting_resolution,[],[f15,f17,f46]) ).
fof(f60,plain,
! [X2,X0,X1] : theorem(or(not(or(not(or(X0,X1)),X2)),or(not(or(X1,X0)),X2))),
inference(unit_resulting_resolution,[],[f15,f19,f47]) ).
fof(f72,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(unit_resulting_resolution,[],[f7,f10]) ).
fof(f75,plain,
! [X0,X1] : theorem(or(not(or(X0,or(X1,X1))),or(X0,X1))),
inference(unit_resulting_resolution,[],[f15,f17,f72]) ).
fof(f100,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(unit_resulting_resolution,[],[f15,f35,f75]) ).
fof(f163,plain,
~ theorem(or(not(or(q,p)),or(not(not(p)),q))),
inference(unit_resulting_resolution,[],[f15,f16,f60]) ).
fof(f193,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(unit_resulting_resolution,[],[f15,f19,f100]) ).
fof(f588,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X0,not(not(X1))))),
inference(unit_resulting_resolution,[],[f15,f17,f193]) ).
fof(f630,plain,
$false,
inference(unit_resulting_resolution,[],[f15,f163,f23,f588]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL208-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n014.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 15:26:46 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 5.82/1.79 % (940583)Input is clausal, will run a generic CNF schedule.
% 5.82/1.79 % (940589)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3903579568:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.82/1.79 % (940588)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=2917874120:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.82/1.79 % (940590)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2253155574:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.82/1.79 % (940591)lrs+10_1_sil=8000:sp=occurrence:random_seed=1526833205:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.82/1.79 % (940592)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2283022578:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.82/1.79 % (940594)dis-21_1_sil=8000:lcm=predicate:random_seed=1326216341: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)
% 5.82/1.79 % (940593)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=820823761:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.82/1.79 % (940594)Instruction limit reached!
% 5.82/1.79 % (940594)------------------------------
% 5.82/1.79 % (940594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.79 % (940594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.79 % (940594)CaDiCaL version: 2.1.3
% 5.82/1.79 % (940594)Termination reason: Instruction limit
% 5.82/1.79 % (940594)Termination phase: Saturation
% 5.82/1.79 % (940594)Time elapsed: 0.058 s
% 5.82/1.79 % (940594)Peak memory usage: 87 MB
% 5.82/1.79 % (940594)Instructions burned: 117 (million)
% 5.82/1.79 % (940592)Instruction limit reached!
% 5.82/1.79 % (940592)------------------------------
% 5.82/1.79 % (940592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.79 % (940592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.79 % (940592)CaDiCaL version: 2.1.3
% 5.82/1.79 % (940592)Termination reason: Instruction limit
% 5.82/1.79 % (940592)Termination phase: Saturation
% 5.82/1.79 % (940592)Time elapsed: 0.062 s
% 5.82/1.79 % (940592)Peak memory usage: 87 MB
% 5.82/1.79 % (940592)Instructions burned: 115 (million)
% 5.82/1.79 % (940591)Instruction limit reached!
% 5.82/1.79 % (940591)------------------------------
% 5.82/1.79 % (940591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.79 % (940591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.79 % (940591)CaDiCaL version: 2.1.3
% 5.82/1.79 % (940591)Termination reason: Instruction limit
% 5.82/1.79 % (940591)Termination phase: Saturation
% 5.82/1.79 % (940591)Time elapsed: 0.069 s
% 5.82/1.79 % (940591)Peak memory usage: 89 MB
% 5.82/1.79 % (940591)Instructions burned: 107 (million)
% 5.82/1.79 % (940593)Instruction limit reached!
% 5.82/1.79 % (940593)------------------------------
% 5.82/1.79 % (940593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.79 % (940593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.79 % (940593)CaDiCaL version: 2.1.3
% 5.82/1.79 % (940593)Termination reason: Instruction limit
% 5.82/1.79 % (940593)Termination phase: Saturation
% 5.82/1.79 % (940593)Time elapsed: 0.121 s
% 5.82/1.79 % (940593)Peak memory usage: 89 MB
% 5.82/1.79 % (940593)Instructions burned: 180 (million)
% 5.82/1.79 % (940603)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=995589089: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)
% 5.82/1.79 % (940602)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=1108206635:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.82/1.79 % (940603)Refutation not found, incomplete strategy
% 5.82/1.79 % (940603)------------------------------
% 5.82/1.79 % (940603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.79 % (940602)Refutation not found, incomplete strategy
% 5.82/1.79 % (940602)------------------------------
% 5.82/1.79 % (940602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.79 % (940602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.79 % (940603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.79 % (940602)CaDiCaL version: 2.1.3
% 5.82/1.79 % (940603)CaDiCaL version: 2.1.3
% 5.82/1.79 % (940602)Termination reason: Refutation not found, incomplete strategy
% 5.82/1.79 % (940602)Time elapsed: 0.001 s
% 5.82/1.79 % (940602)Peak memory usage: 87 MB
% 5.82/1.79 % (940603)Termination reason: Refutation not found, incomplete strategy
% 5.82/1.79 % (940603)Time elapsed: 0.001 s
% 5.82/1.79 % (940603)Peak memory usage: 87 MB
% 5.82/1.79 % (940604)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2492353348:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.82/1.79 % (940604)Refutation not found, incomplete strategy
% 5.82/1.79 % (940604)------------------------------
% 5.82/1.79 % (940604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.79 % (940604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.79 % (940604)CaDiCaL version: 2.1.3
% 5.82/1.79 % (940604)Termination reason: Refutation not found, incomplete strategy
% 5.82/1.79 % (940604)Time elapsed: 0.001 s
% 5.82/1.79 % (940604)Peak memory usage: 88 MB
% 5.82/1.79 % (940605)lrs+10_64_to=lpo:sil=8000:random_seed=476709397:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 5.82/1.79 % (940605)Instruction limit reached!
% 5.82/1.79 % (940605)------------------------------
% 5.82/1.79 % (940605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.79 % (940605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.79 % (940605)CaDiCaL version: 2.1.3
% 5.82/1.79 % (940605)Termination reason: Instruction limit
% 5.82/1.79 % (940605)Termination phase: Saturation
% 5.82/1.79 % (940605)Time elapsed: 0.071 s
% 5.82/1.79 % (940605)Peak memory usage: 89 MB
% 5.82/1.79 % (940605)Instructions burned: 127 (million)
% 5.82/1.79 % (940589)First to succeed.
% 5.82/1.79 % (940589)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-940583"
% 5.82/1.79 % (940602)------------------------------
% 5.82/1.79 % (940602)------------------------------
% 5.82/1.79 % (940603)------------------------------
% 5.82/1.79 % (940603)------------------------------
% 5.82/1.79 % (940604)------------------------------
% 5.82/1.79 % (940604)------------------------------
% 5.82/1.79 % (940610)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1003143332:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 5.82/1.79 % (940589)Refutation found. Thanks to Tanya!
% 5.82/1.79 % SZS status Unsatisfiable for theBenchmark
% 5.82/1.79 % SZS output start Proof for theBenchmark
% See solution above
% 5.82/1.79 % (940589)------------------------------
% 5.82/1.79 % (940589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.82/1.79 % (940589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/1.79 % (940589)CaDiCaL version: 2.1.3
% 5.82/1.79 % (940589)Termination reason: Refutation
% 5.82/1.79 % (940589)Time elapsed: 0.462 s
% 5.82/1.79 % (940589)Peak memory usage: 129 MB
% 5.82/1.79 % (940589)Instructions burned: 1097 (million)
% 5.82/1.79 % (940589)------------------------------
% 5.82/1.79 % (940589)------------------------------
% 5.82/1.79 % (940583)Success in time 0.747 s
% 5.82/1.79 % Vampire exiting
%------------------------------------------------------------------------------