%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL191-3 : 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 : 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 11:51:29 AM UTC 2026
% Result : Unsatisfiable 8.57s 2.18s
% Output : Refutation 8.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 16 unt; 0 def)
% Number of atoms : 24 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 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 : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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,or(q,r)),or(or(p,q),r))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
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,or(q,r))),or(or(p,q),r))),
inference(definition_unfolding,[],[f9,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(f18,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(unit_resulting_resolution,[],[f7,f13]) ).
fof(f19,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(unit_resulting_resolution,[],[f7,f12]) ).
fof(f25,plain,
! [X2,X3,X0,X1] : theorem(or(not(or(X0,or(X1,or(X2,X3)))),or(X0,or(X2,or(X1,X3))))),
inference(unit_resulting_resolution,[],[f15,f18,f17]) ).
fof(f26,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(f49,plain,
~ theorem(or(not(or(p,or(q,r))),or(r,or(p,q)))),
inference(unit_resulting_resolution,[],[f15,f16,f26]) ).
fof(f425,plain,
$false,
inference(unit_resulting_resolution,[],[f15,f26,f25,f49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL191-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n003.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 15:27:26 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 6.52/1.99 % (704038)Input is clausal, will run a generic CNF schedule.
% 6.52/1.99 % (704046)lrs+10_1_sil=8000:sp=occurrence:random_seed=737554626:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.52/1.99 % (704046)Instruction limit reached!
% 6.52/1.99 % (704046)------------------------------
% 6.52/1.99 % (704046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.99 % (704046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.99 % (704046)CaDiCaL version: 2.1.3
% 6.52/1.99 % (704046)Termination reason: Instruction limit
% 6.52/1.99 % (704046)Termination phase: Saturation
% 6.52/1.99 % (704046)Time elapsed: 0.038 s
% 6.52/1.99 % (704046)Peak memory usage: 89 MB
% 6.52/1.99 % (704046)Instructions burned: 107 (million)
% 6.52/1.99 % (704044)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2999888037:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.52/1.99 % (704048)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2923491902:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.52/1.99 % (704047)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2949809354:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.52/1.99 % (704045)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2018745432:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.52/1.99 % (704043)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=4153255381:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.52/1.99 % (704049)dis-21_1_sil=8000:lcm=predicate:random_seed=3251552271: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)
% 6.52/1.99 % (704047)Instruction limit reached!
% 6.52/1.99 % (704047)------------------------------
% 6.52/1.99 % (704047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.99 % (704047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.99 % (704047)CaDiCaL version: 2.1.3
% 6.52/1.99 % (704047)Termination reason: Instruction limit
% 6.52/1.99 % (704047)Termination phase: Saturation
% 6.52/1.99 % (704047)Time elapsed: 0.064 s
% 6.52/1.99 % (704047)Peak memory usage: 87 MB
% 6.52/1.99 % (704047)Instructions burned: 114 (million)
% 6.52/1.99 % (704049)Instruction limit reached!
% 6.52/1.99 % (704049)------------------------------
% 6.52/1.99 % (704049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.99 % (704049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.99 % (704049)CaDiCaL version: 2.1.3
% 6.52/1.99 % (704049)Termination reason: Instruction limit
% 6.52/1.99 % (704049)Termination phase: Saturation
% 6.52/1.99 % (704049)Time elapsed: 0.059 s
% 6.52/1.99 % (704049)Peak memory usage: 87 MB
% 6.52/1.99 % (704049)Instructions burned: 119 (million)
% 6.52/1.99 % (704056)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=3973742951:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.52/1.99 % (704056)Refutation not found, incomplete strategy
% 6.52/1.99 % (704056)------------------------------
% 6.52/1.99 % (704056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.99 % (704056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.99 % (704056)CaDiCaL version: 2.1.3
% 6.52/1.99 % (704056)Termination reason: Refutation not found, incomplete strategy
% 6.52/1.99 % (704056)Time elapsed: 0.001 s
% 6.52/1.99 % (704056)Peak memory usage: 88 MB
% 6.52/1.99 % (704048)Instruction limit reached!
% 6.52/1.99 % (704048)------------------------------
% 6.52/1.99 % (704048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.52/1.99 % (704048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.99 % (704048)CaDiCaL version: 2.1.3
% 6.52/1.99 % (704048)Termination reason: Instruction limit
% 6.52/1.99 % (704048)Termination phase: Saturation
% 6.52/1.99 % (704048)Time elapsed: 0.118 s
% 6.52/1.99 % (704048)Peak memory usage: 89 MB
% 6.52/1.99 % (704048)Instructions burned: 181 (million)
% 6.52/1.99 % (704058)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3038259819: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)
% 8.57/2.18 % (704058)Refutation not found, incomplete strategy
% 8.57/2.18 % (704058)------------------------------
% 8.57/2.18 % (704058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.57/2.18 % (704058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.57/2.18 % (704058)CaDiCaL version: 2.1.3
% 8.57/2.18 % (704058)Termination reason: Refutation not found, incomplete strategy
% 8.57/2.18 % (704058)Time elapsed: 0.001 s
% 8.57/2.18 % (704058)Peak memory usage: 87 MB
% 8.57/2.18 % (704059)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1152939969:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.57/2.18 % (704059)Refutation not found, incomplete strategy
% 8.57/2.18 % (704059)------------------------------
% 8.57/2.18 % (704059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.57/2.18 % (704059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.57/2.18 % (704059)CaDiCaL version: 2.1.3
% 8.57/2.18 % (704059)Termination reason: Refutation not found, incomplete strategy
% 8.57/2.18 % (704059)Time elapsed: 0.001 s
% 8.57/2.18 % (704059)Peak memory usage: 87 MB
% 8.57/2.18 % (704056)------------------------------
% 8.57/2.18 % (704056)------------------------------
% 8.57/2.18 % (704061)lrs+10_64_to=lpo:sil=8000:random_seed=1769426716:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 8.57/2.18 % (704061)Instruction limit reached!
% 8.57/2.18 % (704061)------------------------------
% 8.57/2.18 % (704061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.57/2.18 % (704061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.57/2.18 % (704061)CaDiCaL version: 2.1.3
% 8.57/2.18 % (704061)Termination reason: Instruction limit
% 8.57/2.18 % (704061)Termination phase: Saturation
% 8.57/2.18 % (704061)Time elapsed: 0.074 s
% 8.57/2.18 % (704061)Peak memory usage: 89 MB
% 8.57/2.18 % (704061)Instructions burned: 127 (million)
% 8.57/2.18 % (704064)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=278117414:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 8.57/2.18 % (704064)Instruction limit reached!
% 8.57/2.18 % (704064)------------------------------
% 8.57/2.18 % (704064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.57/2.18 % (704064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.57/2.18 % (704064)CaDiCaL version: 2.1.3
% 8.57/2.18 % (704064)Termination reason: Instruction limit
% 8.57/2.18 % (704064)Termination phase: Saturation
% 8.57/2.18 % (704064)Time elapsed: 0.066 s
% 8.57/2.18 % (704064)Peak memory usage: 90 MB
% 8.57/2.18 % (704064)Instructions burned: 195 (million)
% 8.57/2.18 % (704058)------------------------------
% 8.57/2.18 % (704058)------------------------------
% 8.57/2.18 % (704059)------------------------------
% 8.57/2.18 % (704059)------------------------------
% 8.57/2.18 % (704066)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3569884710:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 8.57/2.18 % (704068)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2152375215:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 8.57/2.18 % (704066)Instruction limit reached!
% 8.57/2.18 % (704066)------------------------------
% 8.57/2.18 % (704066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.57/2.18 % (704066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.57/2.18 % (704066)CaDiCaL version: 2.1.3
% 8.57/2.18 % (704066)Termination reason: Instruction limit
% 8.57/2.18 % (704066)Termination phase: Saturation
% 8.57/2.18 % (704066)Time elapsed: 0.107 s
% 8.57/2.18 % (704066)Peak memory usage: 91 MB
% 8.57/2.18 % (704066)Instructions burned: 157 (million)
% 8.57/2.18 % (704069)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3195056049:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 8.57/2.18 % (704070)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=555134570:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 8.57/2.18 % (704070)Refutation not found, incomplete strategy
% 8.57/2.18 % (704070)------------------------------
% 8.57/2.18 % (704070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.57/2.18 % (704070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.57/2.18 % (704070)CaDiCaL version: 2.1.3
% 8.57/2.18 % (704070)Termination reason: Refutation not found, incomplete strategy
% 8.57/2.18 % (704070)Time elapsed: 0.001 s
% 8.57/2.18 % (704070)Peak memory usage: 87 MB
% 8.57/2.18 % (704069)Instruction limit reached!
% 8.57/2.18 % (704069)------------------------------
% 8.57/2.18 % (704069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.57/2.18 % (704069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.57/2.18 % (704069)CaDiCaL version: 2.1.3
% 8.57/2.18 % (704069)Termination reason: Instruction limit
% 8.57/2.18 % (704069)Termination phase: Saturation
% 8.57/2.18 % (704069)Time elapsed: 0.058 s
% 8.57/2.18 % (704069)Peak memory usage: 89 MB
% 8.57/2.18 % (704069)Instructions burned: 107 (million)
% 8.57/2.18 % (704044)First to succeed.
% 8.57/2.18 % (704044)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-704038"
% 8.57/2.18 % (704074)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3418023603:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 8.57/2.18 % (704076)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=701984429:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 8.57/2.18 % (704070)------------------------------
% 8.57/2.18 % (704070)------------------------------
% 8.57/2.18 % (704074)Instruction limit reached!
% 8.57/2.18 % (704074)------------------------------
% 8.57/2.18 % (704074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.57/2.18 % (704074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.57/2.18 % (704074)CaDiCaL version: 2.1.3
% 8.57/2.18 % (704074)Termination reason: Instruction limit
% 8.57/2.18 % (704074)Termination phase: Saturation
% 8.57/2.18 % (704074)Time elapsed: 0.148 s
% 8.57/2.18 % (704074)Peak memory usage: 89 MB
% 8.57/2.18 % (704074)Instructions burned: 243 (million)
% 8.57/2.18 % (704044)Refutation found. Thanks to Tanya!
% 8.57/2.18 % SZS status Unsatisfiable for theBenchmark
% 8.57/2.18 % SZS output start Proof for theBenchmark
% See solution above
% 8.57/2.18 % (704044)------------------------------
% 8.57/2.18 % (704044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.57/2.18 % (704044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.57/2.18 % (704044)CaDiCaL version: 2.1.3
% 8.57/2.18 % (704044)Termination reason: Refutation
% 8.57/2.18 % (704044)Time elapsed: 0.701 s
% 8.57/2.18 % (704044)Peak memory usage: 126 MB
% 8.57/2.18 % (704044)Instructions burned: 1057 (million)
% 8.57/2.18 % (704044)------------------------------
% 8.57/2.18 % (704044)------------------------------
% 8.57/2.18 % (704038)Success in time 1.131 s
% 8.57/2.18 % Vampire exiting
%------------------------------------------------------------------------------