%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL208-1 : 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 : n019.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 8.32s 2.21s
% Output : Refutation 8.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 16 ( 13 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 12 ~; 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).
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(p,q)),or(not(not(p)),q))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f10,plain,
~ theorem(or(not(or(q,p)),or(not(not(p)),q))),
inference(unit_resulting_resolution,[],[f8,f3,f9]) ).
fof(f27,plain,
~ theorem(or(not(not(p)),or(not(or(q,p)),q))),
inference(unit_resulting_resolution,[],[f7,f4,f10]) ).
fof(f89,plain,
! [X0] : ~ theorem(or(not(or(X0,not(p))),or(not(or(q,p)),q))),
inference(unit_resulting_resolution,[],[f8,f2,f27]) ).
fof(f317,plain,
! [X0] : ~ theorem(or(not(or(not(p),X0)),or(not(or(q,p)),q))),
inference(unit_resulting_resolution,[],[f8,f3,f89]) ).
fof(f903,plain,
! [X0,X1] : ~ theorem(or(not(or(not(or(X0,p)),or(X0,X1))),or(not(or(q,p)),q))),
inference(unit_resulting_resolution,[],[f8,f5,f317]) ).
fof(f3851,plain,
! [X0] : ~ theorem(or(not(or(q,X0)),q)),
inference(unit_resulting_resolution,[],[f7,f5,f903]) ).
fof(f3861,plain,
$false,
inference(unit_resulting_resolution,[],[f6,f1,f3851]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL208-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 15:27:03 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
% 8.32/2.21 % (3205239)Input is clausal, will run a generic CNF schedule.
% 8.32/2.21 % (3205295)dis-21_1_sil=8000:lcm=predicate:random_seed=104229867: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)
% 8.32/2.21 % (3205295)Instruction limit reached!
% 8.32/2.21 % (3205295)------------------------------
% 8.32/2.21 % (3205295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/2.21 % (3205295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/2.21 % (3205295)CaDiCaL version: 2.1.3
% 8.32/2.21 % (3205295)Termination reason: Instruction limit
% 8.32/2.21 % (3205295)Termination phase: Saturation
% 8.32/2.21 % (3205295)Time elapsed: 0.065 s
% 8.32/2.21 % (3205295)Peak memory usage: 88 MB
% 8.32/2.21 % (3205295)Instructions burned: 118 (million)
% 8.32/2.21 % (3205292)lrs+10_1_sil=8000:sp=occurrence:random_seed=3245014233:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.32/2.21 % (3205289)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=2444737554:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.32/2.21 % (3205290)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3974328697:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.32/2.21 % (3205293)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3760164655:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.32/2.21 % (3205291)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4290038948:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.32/2.21 % (3205294)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=243909362:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.32/2.21 % (3205292)Instruction limit reached!
% 8.32/2.21 % (3205292)------------------------------
% 8.32/2.21 % (3205292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/2.21 % (3205292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/2.21 % (3205292)CaDiCaL version: 2.1.3
% 8.32/2.21 % (3205292)Termination reason: Instruction limit
% 8.32/2.21 % (3205292)Termination phase: Saturation
% 8.32/2.21 % (3205292)Time elapsed: 0.107 s
% 8.32/2.21 % (3205292)Peak memory usage: 88 MB
% 8.32/2.21 % (3205292)Instructions burned: 107 (million)
% 8.32/2.21 % (3205293)Instruction limit reached!
% 8.32/2.21 % (3205293)------------------------------
% 8.32/2.21 % (3205293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/2.21 % (3205293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/2.21 % (3205293)CaDiCaL version: 2.1.3
% 8.32/2.21 % (3205293)Termination reason: Instruction limit
% 8.32/2.21 % (3205293)Termination phase: Saturation
% 8.32/2.21 % (3205293)Time elapsed: 0.115 s
% 8.32/2.21 % (3205293)Peak memory usage: 88 MB
% 8.32/2.21 % (3205293)Instructions burned: 115 (million)
% 8.32/2.21 % (3205294)Instruction limit reached!
% 8.32/2.21 % (3205294)------------------------------
% 8.32/2.21 % (3205294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/2.21 % (3205294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/2.21 % (3205294)CaDiCaL version: 2.1.3
% 8.32/2.21 % (3205294)Termination reason: Instruction limit
% 8.32/2.21 % (3205294)Termination phase: Saturation
% 8.32/2.21 % (3205294)Time elapsed: 0.132 s
% 8.32/2.21 % (3205294)Peak memory usage: 89 MB
% 8.32/2.21 % (3205294)Instructions burned: 181 (million)
% 8.32/2.21 % (3205297)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=519305213:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 8.32/2.21 % (3205297)Refutation not found, incomplete strategy
% 8.32/2.21 % (3205297)------------------------------
% 8.32/2.21 % (3205297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/2.21 % (3205297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/2.21 % (3205297)CaDiCaL version: 2.1.3
% 8.32/2.21 % (3205297)Termination reason: Refutation not found, incomplete strategy
% 8.32/2.21 % (3205297)Time elapsed: 0.001 s
% 8.32/2.21 % (3205297)Peak memory usage: 87 MB
% 8.32/2.21 % (3205307)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4060860943:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 8.32/2.21 % (3205306)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3775489734: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)
% 8.32/2.21 % (3205297)------------------------------
% 8.32/2.21 % (3205297)------------------------------
% 8.32/2.21 % (3205308)lrs+10_64_to=lpo:sil=8000:random_seed=1572876655:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 8.32/2.21 % (3205306)First to succeed.
% 8.32/2.21 % (3205306)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3205239"
% 8.32/2.21 % (3205308)Instruction limit reached!
% 8.32/2.21 % (3205308)------------------------------
% 8.32/2.21 % (3205308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/2.21 % (3205308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/2.21 % (3205308)CaDiCaL version: 2.1.3
% 8.32/2.21 % (3205308)Termination reason: Instruction limit
% 8.32/2.21 % (3205308)Termination phase: Saturation
% 8.32/2.21 % (3205308)Time elapsed: 0.134 s
% 8.32/2.21 % (3205308)Peak memory usage: 88 MB
% 8.32/2.21 % (3205308)Instructions burned: 126 (million)
% 8.32/2.21 % (3205307)Instruction limit reached!
% 8.32/2.21 % (3205307)------------------------------
% 8.32/2.21 % (3205307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/2.21 % (3205307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/2.21 % (3205307)CaDiCaL version: 2.1.3
% 8.32/2.21 % (3205307)Termination reason: Instruction limit
% 8.32/2.21 % (3205307)Termination phase: Saturation
% 8.32/2.21 % (3205307)Time elapsed: 0.201 s
% 8.32/2.21 % (3205307)Peak memory usage: 89 MB
% 8.32/2.21 % (3205307)Instructions burned: 219 (million)
% 8.32/2.21 % (3205319)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=624374916:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 8.32/2.21 % (3205323)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=504030215:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 8.32/2.21 % (3205322)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1457263801:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 8.32/2.21 % (3205306)Refutation found. Thanks to Tanya!
% 8.32/2.21 % SZS status Unsatisfiable for theBenchmark
% 8.32/2.21 % SZS output start Proof for theBenchmark
% See solution above
% 8.32/2.21 % (3205306)------------------------------
% 8.32/2.21 % (3205306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/2.21 % (3205306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/2.21 % (3205306)CaDiCaL version: 2.1.3
% 8.32/2.21 % (3205306)Termination reason: Refutation
% 8.32/2.21 % (3205306)Time elapsed: 0.133 s
% 8.32/2.21 % (3205306)Peak memory usage: 90 MB
% 8.32/2.21 % (3205306)Instructions burned: 146 (million)
% 8.32/2.21 % (3205306)------------------------------
% 8.32/2.21 % (3205306)------------------------------
% 8.32/2.21 % (3205239)Success in time 1.078 s
% 8.32/2.21 % Vampire exiting
%------------------------------------------------------------------------------