%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL195-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 11:51:30 AM UTC 2026
% Result : Unsatisfiable 4.98s 1.57s
% Output : Refutation 4.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 13 ( 10 unt; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 11 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(or(not(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(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f6,axiom,
! [X0] :
( theorem(X0)
| ~ axiom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ axiom(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).
fof(f8,axiom,
! [X2,X0,X1] :
( theorem(or(not(X0),X1))
| ~ axiom(or(not(X0),X2))
| ~ theorem(or(not(X2),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_3) ).
fof(f9,negated_conjecture,
~ theorem(or(not(or(not(q),r)),or(not(or(q,p)),or(r,p)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f14,plain,
~ theorem(or(not(or(q,p)),or(not(or(not(q),r)),or(r,p)))),
inference(unit_resulting_resolution,[],[f7,f4,f9]) ).
fof(f38,plain,
~ theorem(or(not(or(p,q)),or(not(or(not(q),r)),or(r,p)))),
inference(unit_resulting_resolution,[],[f8,f3,f14]) ).
fof(f155,plain,
~ theorem(or(not(or(not(q),r)),or(not(or(p,q)),or(r,p)))),
inference(unit_resulting_resolution,[],[f7,f4,f38]) ).
fof(f572,plain,
! [X0] : ~ theorem(or(not(or(not(or(X0,q)),or(X0,r))),or(not(or(p,q)),or(r,p)))),
inference(unit_resulting_resolution,[],[f8,f5,f155]) ).
fof(f2415,plain,
~ theorem(or(not(or(p,r)),or(r,p))),
inference(unit_resulting_resolution,[],[f7,f5,f572]) ).
fof(f2423,plain,
$false,
inference(unit_resulting_resolution,[],[f6,f3,f2415]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL195-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 15:26:08 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 4.98/1.57 % (3666416)Input is clausal, will run a generic CNF schedule.
% 4.98/1.57 % (3666421)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=819797618:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.98/1.57 % (3666423)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4147874287:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.98/1.57 % (3666427)dis-21_1_sil=8000:lcm=predicate:random_seed=354691190: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)
% 4.98/1.57 % (3666424)lrs+10_1_sil=8000:sp=occurrence:random_seed=710412840:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.98/1.57 % (3666422)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3114417307:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.98/1.57 % (3666425)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3111455522:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.98/1.57 % (3666426)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4224965698:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.98/1.57 % (3666424)Instruction limit reached!
% 4.98/1.57 % (3666424)------------------------------
% 4.98/1.57 % (3666424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.98/1.57 % (3666424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.57 % (3666424)CaDiCaL version: 2.1.3
% 4.98/1.57 % (3666424)Termination reason: Instruction limit
% 4.98/1.57 % (3666424)Termination phase: Saturation
% 4.98/1.57 % (3666424)Time elapsed: 0.066 s
% 4.98/1.57 % (3666424)Peak memory usage: 88 MB
% 4.98/1.57 % (3666424)Instructions burned: 108 (million)
% 4.98/1.57 % (3666425)Instruction limit reached!
% 4.98/1.57 % (3666425)------------------------------
% 4.98/1.57 % (3666425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.98/1.57 % (3666425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.57 % (3666425)CaDiCaL version: 2.1.3
% 4.98/1.57 % (3666425)Termination reason: Instruction limit
% 4.98/1.57 % (3666425)Termination phase: Saturation
% 4.98/1.57 % (3666425)Time elapsed: 0.071 s
% 4.98/1.57 % (3666425)Peak memory usage: 88 MB
% 4.98/1.57 % (3666425)Instructions burned: 115 (million)
% 4.98/1.57 % (3666427)Instruction limit reached!
% 4.98/1.57 % (3666427)------------------------------
% 4.98/1.57 % (3666427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.98/1.57 % (3666427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.57 % (3666427)CaDiCaL version: 2.1.3
% 4.98/1.57 % (3666427)Termination reason: Instruction limit
% 4.98/1.57 % (3666427)Termination phase: Saturation
% 4.98/1.57 % (3666427)Time elapsed: 0.071 s
% 4.98/1.57 % (3666427)Peak memory usage: 88 MB
% 4.98/1.57 % (3666427)Instructions burned: 118 (million)
% 4.98/1.57 % (3666426)Instruction limit reached!
% 4.98/1.57 % (3666426)------------------------------
% 4.98/1.57 % (3666426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.98/1.57 % (3666426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.57 % (3666426)CaDiCaL version: 2.1.3
% 4.98/1.57 % (3666426)Termination reason: Instruction limit
% 4.98/1.57 % (3666426)Termination phase: Saturation
% 4.98/1.57 % (3666426)Time elapsed: 0.119 s
% 4.98/1.57 % (3666426)Peak memory usage: 89 MB
% 4.98/1.57 % (3666426)Instructions burned: 181 (million)
% 4.98/1.57 % (3666436)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2694374540: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)
% 4.98/1.57 % (3666435)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=2940487406:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.98/1.57 % (3666437)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3348827477:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.98/1.57 % (3666435)Refutation not found, incomplete strategy
% 4.98/1.57 % (3666435)------------------------------
% 4.98/1.57 % (3666435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.98/1.57 % (3666435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.57 % (3666435)CaDiCaL version: 2.1.3
% 4.98/1.57 % (3666435)Termination reason: Refutation not found, incomplete strategy
% 4.98/1.57 % (3666435)Time elapsed: 0.001 s
% 4.98/1.57 % (3666435)Peak memory usage: 87 MB
% 4.98/1.57 % (3666436)First to succeed.
% 4.98/1.57 % (3666436)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3666416"
% 4.98/1.57 % (3666438)lrs+10_64_to=lpo:sil=8000:random_seed=2394180221:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 4.98/1.57 % (3666437)Instruction limit reached!
% 4.98/1.57 % (3666437)------------------------------
% 4.98/1.57 % (3666437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.98/1.57 % (3666437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.57 % (3666437)CaDiCaL version: 2.1.3
% 4.98/1.57 % (3666437)Termination reason: Instruction limit
% 4.98/1.57 % (3666437)Termination phase: Saturation
% 4.98/1.57 % (3666437)Time elapsed: 0.125 s
% 4.98/1.57 % (3666437)Peak memory usage: 89 MB
% 4.98/1.57 % (3666437)Instructions burned: 220 (million)
% 4.98/1.57 % (3666438)Instruction limit reached!
% 4.98/1.57 % (3666438)------------------------------
% 4.98/1.57 % (3666438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.98/1.57 % (3666438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.57 % (3666438)CaDiCaL version: 2.1.3
% 4.98/1.57 % (3666438)Termination reason: Instruction limit
% 4.98/1.57 % (3666438)Termination phase: Saturation
% 4.98/1.57 % (3666438)Time elapsed: 0.081 s
% 4.98/1.57 % (3666438)Peak memory usage: 88 MB
% 4.98/1.57 % (3666438)Instructions burned: 126 (million)
% 4.98/1.57 % (3666435)------------------------------
% 4.98/1.57 % (3666435)------------------------------
% 4.98/1.57 % (3666443)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2116559287:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 4.98/1.57 % (3666444)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3580301082:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 4.98/1.57 % (3666436)Refutation found. Thanks to Tanya!
% 4.98/1.57 % SZS status Unsatisfiable for theBenchmark
% 4.98/1.57 % SZS output start Proof for theBenchmark
% See solution above
% 4.98/1.57 % (3666436)------------------------------
% 4.98/1.57 % (3666436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.98/1.57 % (3666436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.98/1.57 % (3666436)CaDiCaL version: 2.1.3
% 4.98/1.57 % (3666436)Termination reason: Refutation
% 4.98/1.57 % (3666436)Time elapsed: 0.059 s
% 4.98/1.57 % (3666436)Peak memory usage: 89 MB
% 4.98/1.57 % (3666436)Instructions burned: 95 (million)
% 4.98/1.57 % (3666436)------------------------------
% 4.98/1.57 % (3666436)------------------------------
% 4.98/1.57 % (3666416)Success in time 0.642 s
% 4.98/1.57 % Vampire exiting
%------------------------------------------------------------------------------