%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL211-3 : 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 : n010.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 11:51:35 AM UTC 2026
% Result : Unsatisfiable 10.32s 2.79s
% Output : Refutation 10.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 33 ( 20 unt; 0 def)
% Number of atoms : 51 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 52 ( 34 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 7 ( 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 : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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] :
( ~ axiom(X0)
| theorem(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,negated_conjecture,
~ theorem(implies(not(q),implies(or(p,q),p))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
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(X0)
| ~ theorem(or(not(X1),X0))
| ~ theorem(X1) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f16,plain,
~ theorem(or(not(not(q)),or(not(or(p,q)),p))),
inference(definition_unfolding,[],[f9,f6,f6]) ).
fof(f18,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f11,f7]) ).
fof(f19,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f12,f7]) ).
fof(f20,plain,
! [X0] :
( ~ theorem(or(not(X0),or(not(not(q)),or(not(or(p,q)),p))))
| ~ theorem(X0) ),
inference(resolution,[],[f15,f16]) ).
fof(f40,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f13,f7]) ).
fof(f79,plain,
! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[],[f14,f7]) ).
fof(f171,plain,
~ theorem(or(not(or(p,q)),or(not(not(q)),p))),
inference(resolution,[],[f40,f20]) ).
fof(f197,plain,
! [X0] :
( ~ theorem(or(not(X0),or(not(or(p,q)),or(not(not(q)),p))))
| ~ theorem(X0) ),
inference(resolution,[],[f171,f15]) ).
fof(f404,plain,
! [X0,X1] :
( ~ theorem(or(not(X1),or(not(X0),or(not(or(p,q)),or(not(not(q)),p)))))
| ~ theorem(X0)
| ~ theorem(X1) ),
inference(resolution,[],[f197,f15]) ).
fof(f733,plain,
! [X0] :
( ~ theorem(or(not(or(p,q)),X0))
| ~ theorem(or(not(X0),or(not(not(q)),p))) ),
inference(resolution,[],[f404,f79]) ).
fof(f809,plain,
! [X0,X1] :
( ~ theorem(or(not(X0),or(not(not(q)),p)))
| ~ theorem(or(not(X1),or(not(or(p,q)),X0)))
| ~ theorem(X1) ),
inference(resolution,[],[f733,f15]) ).
fof(f2922,plain,
! [X0] :
( ~ theorem(or(not(X0),or(not(or(p,q)),or(p,not(not(q))))))
| ~ theorem(X0) ),
inference(resolution,[],[f809,f19]) ).
fof(f2929,plain,
~ theorem(or(not(q),not(not(q)))),
inference(resolution,[],[f2922,f79]) ).
fof(f2932,plain,
! [X0] :
( ~ theorem(or(not(X0),or(not(q),not(not(q)))))
| ~ theorem(X0) ),
inference(resolution,[],[f2929,f15]) ).
fof(f2935,plain,
~ theorem(or(not(not(q)),not(q))),
inference(resolution,[],[f2932,f19]) ).
fof(f2939,plain,
! [X0] :
( ~ theorem(or(not(X0),or(not(not(q)),not(q))))
| ~ theorem(X0) ),
inference(resolution,[],[f2935,f15]) ).
fof(f2943,plain,
! [X0,X1] :
( ~ theorem(or(not(X1),or(not(X0),or(not(not(q)),not(q)))))
| ~ theorem(X0)
| ~ theorem(X1) ),
inference(resolution,[],[f2939,f15]) ).
fof(f2993,plain,
! [X0] :
( ~ theorem(X0)
| ~ theorem(or(not(not(q)),or(not(X0),not(q)))) ),
inference(resolution,[],[f2943,f40]) ).
fof(f2998,plain,
! [X0] : ~ theorem(X0),
inference(forward_subsumption_resolution,[],[f2993,f18]) ).
fof(f3003,plain,
$false,
inference(resolution,[],[f2998,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL211-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n010.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
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 15:27:01 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.45 Running first-order theorem proving
% 0.11/0.45 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
% 10.32/2.79 % (1094560)Input is clausal, will run a generic CNF schedule.
% 10.32/2.79 % (1094568)lrs+10_1_sil=8000:sp=occurrence:random_seed=1608490600:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.32/2.79 % (1094566)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1746073999:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.32/2.79 % (1094565)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=4077121272:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.32/2.79 % (1094568)Instruction limit reached!
% 10.32/2.79 % (1094568)------------------------------
% 10.32/2.79 % (1094568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.32/2.79 % (1094568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.79 % (1094568)CaDiCaL version: 2.1.3
% 10.32/2.79 % (1094568)Termination reason: Instruction limit
% 10.32/2.79 % (1094568)Termination phase: Saturation
% 10.32/2.79 % (1094568)Time elapsed: 0.063 s
% 10.32/2.79 % (1094568)Peak memory usage: 89 MB
% 10.32/2.79 % (1094568)Instructions burned: 108 (million)
% 10.32/2.79 % (1094567)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=361275124:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.32/2.79 % (1094570)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3969979181:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.32/2.79 % (1094569)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=579769295:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.32/2.79 % (1094571)dis-21_1_sil=8000:lcm=predicate:random_seed=231000454: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)
% 10.32/2.79 % (1094569)Instruction limit reached!
% 10.32/2.79 % (1094569)------------------------------
% 10.32/2.79 % (1094569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.32/2.79 % (1094569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.79 % (1094569)CaDiCaL version: 2.1.3
% 10.32/2.79 % (1094569)Termination reason: Instruction limit
% 10.32/2.79 % (1094569)Termination phase: Saturation
% 10.32/2.79 % (1094569)Time elapsed: 0.104 s
% 10.32/2.79 % (1094569)Peak memory usage: 87 MB
% 10.32/2.79 % (1094569)Instructions burned: 115 (million)
% 10.32/2.79 % (1094571)Instruction limit reached!
% 10.32/2.79 % (1094571)------------------------------
% 10.32/2.79 % (1094571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.32/2.79 % (1094571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.79 % (1094571)CaDiCaL version: 2.1.3
% 10.32/2.79 % (1094571)Termination reason: Instruction limit
% 10.32/2.79 % (1094571)Termination phase: Saturation
% 10.32/2.79 % (1094571)Time elapsed: 0.097 s
% 10.32/2.79 % (1094571)Peak memory usage: 87 MB
% 10.32/2.79 % (1094571)Instructions burned: 117 (million)
% 10.32/2.79 % (1094570)Instruction limit reached!
% 10.32/2.79 % (1094570)------------------------------
% 10.32/2.79 % (1094570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.32/2.79 % (1094570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.79 % (1094570)CaDiCaL version: 2.1.3
% 10.32/2.79 % (1094570)Termination reason: Instruction limit
% 10.32/2.79 % (1094570)Termination phase: Saturation
% 10.32/2.79 % (1094570)Time elapsed: 0.201 s
% 10.32/2.79 % (1094570)Peak memory usage: 89 MB
% 10.32/2.79 % (1094570)Instructions burned: 181 (million)
% 10.32/2.79 % (1094575)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=2509430064:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.32/2.79 % (1094575)Refutation not found, incomplete strategy
% 10.32/2.79 % (1094575)------------------------------
% 10.32/2.79 % (1094575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.32/2.79 % (1094575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.79 % (1094575)CaDiCaL version: 2.1.3
% 10.32/2.79 % (1094575)Termination reason: Refutation not found, incomplete strategy
% 10.32/2.79 % (1094575)Time elapsed: 0.001 s
% 10.32/2.79 % (1094575)Peak memory usage: 87 MB
% 10.32/2.79 % (1094580)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2216026212: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)
% 10.32/2.79 % (1094581)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=572080887:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 10.32/2.79 % (1094580)Refutation not found, incomplete strategy
% 10.32/2.79 % (1094580)------------------------------
% 10.32/2.79 % (1094580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.32/2.79 % (1094580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.79 % (1094580)CaDiCaL version: 2.1.3
% 10.32/2.79 % (1094580)Termination reason: Refutation not found, incomplete strategy
% 10.32/2.79 % (1094580)Time elapsed: 0.002 s
% 10.32/2.79 % (1094581)Refutation not found, incomplete strategy
% 10.32/2.79 % (1094581)------------------------------
% 10.32/2.79 % (1094581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.32/2.79 % (1094580)Peak memory usage: 87 MB
% 10.32/2.79 % (1094581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.79 % (1094581)CaDiCaL version: 2.1.3
% 10.32/2.79 % (1094581)Termination reason: Refutation not found, incomplete strategy
% 10.32/2.79 % (1094581)Time elapsed: 0.002 s
% 10.32/2.79 % (1094581)Peak memory usage: 87 MB
% 10.32/2.79 % (1094575)------------------------------
% 10.32/2.79 % (1094575)------------------------------
% 10.32/2.79 % (1094582)lrs+10_64_to=lpo:sil=8000:random_seed=3492624534:i=126:bd=preordered_2994 on theBenchmark for (2994ds/126Mi)
% 10.32/2.79 % (1094582)Instruction limit reached!
% 10.32/2.79 % (1094582)------------------------------
% 10.32/2.79 % (1094582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.32/2.79 % (1094582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.79 % (1094582)CaDiCaL version: 2.1.3
% 10.32/2.79 % (1094582)Termination reason: Instruction limit
% 10.32/2.79 % (1094582)Termination phase: Saturation
% 10.32/2.79 % (1094582)Time elapsed: 0.119 s
% 10.32/2.79 % (1094582)Peak memory usage: 89 MB
% 10.32/2.79 % (1094582)Instructions burned: 127 (million)
% 10.32/2.79 % (1094586)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4103123045:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 10.32/2.79 % (1094581)------------------------------
% 10.32/2.79 % (1094581)------------------------------
% 10.32/2.79 % (1094580)------------------------------
% 10.32/2.79 % (1094580)------------------------------
% 10.32/2.79 % (1094586)First to succeed.
% 10.32/2.79 % (1094586)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1094560"
% 10.32/2.79 % (1094588)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=35186231:i=157:gtg=all_2990 on theBenchmark for (2990ds/157Mi)
% 10.32/2.79 % (1094586)Refutation found. Thanks to Tanya!
% 10.32/2.79 % SZS status Unsatisfiable for theBenchmark
% 10.32/2.79 % SZS output start Proof for theBenchmark
% See solution above
% 10.32/2.79 % (1094586)------------------------------
% 10.32/2.79 % (1094586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.32/2.79 % (1094586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.79 % (1094586)CaDiCaL version: 2.1.3
% 10.32/2.79 % (1094586)Termination reason: Refutation
% 10.32/2.79 % (1094586)Time elapsed: 0.086 s
% 10.32/2.79 % (1094586)Peak memory usage: 90 MB
% 10.32/2.79 % (1094586)Instructions burned: 155 (million)
% 10.32/2.79 % (1094586)------------------------------
% 10.32/2.79 % (1094586)------------------------------
% 10.32/2.79 % (1094560)Success in time 1.352 s
% 10.32/2.79 % Vampire exiting
%------------------------------------------------------------------------------