%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL198-1 : 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 : n005.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 11:51:31 AM UTC 2026
% Result : Unsatisfiable 5.61s 1.79s
% Output : Refutation 5.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 43 ( 26 unt; 5 def)
% Number of atoms : 63 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 42 ( 22 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 50 ( 50 !; 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] :
( ~ axiom(X0)
| theorem(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(X2),X1))
| ~ axiom(or(not(X0),X2))
| theorem(or(not(X0),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_3) ).
fof(f9,negated_conjecture,
~ theorem(or(not(or(not(p),or(not(p),q))),or(not(p),q))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f10,definition,
sF0 = not(p),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f11,plain,
not(p) = sF0,
inference(reorient_equations,[],[f10]) ).
fof(f12,definition,
sF1 = or(sF0,q),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f13,plain,
or(sF0,q) = sF1,
inference(reorient_equations,[],[f12]) ).
fof(f14,definition,
sF2 = or(sF0,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f15,plain,
or(sF0,sF1) = sF2,
inference(reorient_equations,[],[f14]) ).
fof(f16,definition,
sF3 = not(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f17,plain,
not(sF2) = sF3,
inference(reorient_equations,[],[f16]) ).
fof(f18,definition,
sF4 = or(sF3,sF1),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f19,plain,
or(sF3,sF1) = sF4,
inference(reorient_equations,[],[f18]) ).
fof(f20,plain,
~ theorem(sF4),
inference(definition_folding,[],[f9,f19,f13,f11,f17,f15,f13,f11,f11]) ).
fof(f23,plain,
! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) ),
inference(resolution,[],[f7,f2]) ).
fof(f24,plain,
! [X0,X1] :
( ~ theorem(or(X1,X0))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f3,f7]) ).
fof(f25,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f3,f6]) ).
fof(f55,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f1,f7]) ).
fof(f57,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X1)),or(X0,X2)))
| ~ theorem(or(not(X1),X2)) ),
inference(resolution,[],[f5,f7]) ).
fof(f68,plain,
! [X2,X0,X1] :
( ~ theorem(or(X1,or(X0,X2)))
| theorem(or(X0,or(X1,X2))) ),
inference(resolution,[],[f4,f7]) ).
fof(f73,plain,
! [X0] : axiom(or(not(or(sF3,or(X0,sF1))),or(X0,sF4))),
inference(superposition,[],[f4,f19]) ).
fof(f94,plain,
! [X2,X0,X1] :
( ~ axiom(or(not(X0),or(X1,X2)))
| theorem(or(not(X0),or(X2,X1))) ),
inference(resolution,[],[f8,f25]) ).
fof(f111,plain,
! [X2,X3,X0,X1] :
( ~ axiom(or(not(X2),or(X3,X0)))
| ~ theorem(or(not(X0),X1))
| theorem(or(not(X2),or(X3,X1))) ),
inference(resolution,[],[f57,f8]) ).
fof(f136,plain,
! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
inference(resolution,[],[f94,f2]) ).
fof(f153,plain,
theorem(or(not(sF0),sF1)),
inference(superposition,[],[f136,f13]) ).
fof(f198,plain,
! [X2,X0,X1] :
( theorem(or(not(or(X0,X2)),or(X2,X1)))
| ~ theorem(or(not(X0),X1)) ),
inference(resolution,[],[f111,f3]) ).
fof(f235,plain,
! [X0] :
( ~ theorem(or(sF3,or(X0,sF1)))
| theorem(or(X0,sF4)) ),
inference(resolution,[],[f73,f7]) ).
fof(f239,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X2,X1)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f23,f68]) ).
fof(f252,plain,
! [X0] :
( ~ theorem(or(X0,sF1))
| theorem(or(X0,sF4)) ),
inference(superposition,[],[f239,f19]) ).
fof(f308,plain,
! [X0] :
( theorem(or(not(sF2),or(sF1,X0)))
| ~ theorem(or(not(sF0),X0)) ),
inference(superposition,[],[f198,f15]) ).
fof(f313,plain,
! [X0] :
( theorem(or(sF3,or(sF1,X0)))
| ~ theorem(or(not(sF0),X0)) ),
inference(forward_demodulation,[],[f308,f17]) ).
fof(f314,plain,
( ~ theorem(or(not(sF0),sF1))
| theorem(or(sF1,sF4)) ),
inference(resolution,[],[f313,f235]) ).
fof(f317,plain,
theorem(or(sF1,sF4)),
inference(forward_subsumption_resolution,[],[f314,f153]) ).
fof(f318,plain,
theorem(or(sF4,sF1)),
inference(resolution,[],[f317,f24]) ).
fof(f320,plain,
theorem(or(sF4,sF4)),
inference(resolution,[],[f318,f252]) ).
fof(f322,plain,
theorem(sF4),
inference(resolution,[],[f320,f55]) ).
fof(f324,plain,
$false,
inference(forward_subsumption_resolution,[],[f322,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL198-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n005.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 15:25:47 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 4.15/1.59 % (4134488)Input is clausal, will run a generic CNF schedule.
% 4.15/1.59 % (4134579)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=17850136:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.15/1.59 % (4134590)dis-21_1_sil=8000:lcm=predicate:random_seed=1238284963: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)
% 4.15/1.59 % (4134585)lrs+10_1_sil=8000:sp=occurrence:random_seed=492989808:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.15/1.59 % (4134583)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3510796727:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.15/1.59 % (4134587)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1531230921:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.15/1.59 % (4134588)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3122280059:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.15/1.59 % (4134581)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1636954275:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.15/1.59 % (4134585)Instruction limit reached!
% 4.15/1.59 % (4134585)------------------------------
% 4.15/1.59 % (4134585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.59 % (4134585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.59 % (4134585)CaDiCaL version: 2.1.3
% 4.15/1.59 % (4134585)Termination reason: Instruction limit
% 4.15/1.59 % (4134585)Termination phase: Saturation
% 4.15/1.59 % (4134585)Time elapsed: 0.065 s
% 4.15/1.59 % (4134585)Peak memory usage: 88 MB
% 4.15/1.59 % (4134585)Instructions burned: 107 (million)
% 4.15/1.59 % (4134590)Instruction limit reached!
% 4.15/1.59 % (4134590)------------------------------
% 4.15/1.59 % (4134590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.59 % (4134590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.59 % (4134590)CaDiCaL version: 2.1.3
% 4.15/1.59 % (4134590)Termination reason: Instruction limit
% 4.15/1.59 % (4134590)Termination phase: Saturation
% 4.15/1.59 % (4134590)Time elapsed: 0.073 s
% 4.15/1.59 % (4134590)Peak memory usage: 88 MB
% 4.15/1.59 % (4134590)Instructions burned: 117 (million)
% 4.15/1.59 % (4134587)Instruction limit reached!
% 4.15/1.59 % (4134587)------------------------------
% 4.15/1.59 % (4134587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.59 % (4134587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.59 % (4134587)CaDiCaL version: 2.1.3
% 4.15/1.59 % (4134587)Termination reason: Instruction limit
% 4.15/1.59 % (4134587)Termination phase: Saturation
% 4.15/1.59 % (4134587)Time elapsed: 0.074 s
% 4.15/1.59 % (4134587)Peak memory usage: 88 MB
% 4.15/1.59 % (4134587)Instructions burned: 114 (million)
% 4.15/1.59 % (4134588)Instruction limit reached!
% 4.15/1.59 % (4134588)------------------------------
% 4.15/1.59 % (4134588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.59 % (4134588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.59 % (4134588)CaDiCaL version: 2.1.3
% 4.15/1.59 % (4134588)Termination reason: Instruction limit
% 4.15/1.59 % (4134588)Termination phase: Saturation
% 4.15/1.59 % (4134588)Time elapsed: 0.118 s
% 4.15/1.59 % (4134588)Peak memory usage: 89 MB
% 4.15/1.59 % (4134588)Instructions burned: 181 (million)
% 4.15/1.59 % (4134640)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=3526692526:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.15/1.59 % (4134642)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1207160371:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.15/1.59 % (4134641)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3525055693: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)
% 4.15/1.59 % (4134640)Refutation not found, incomplete strategy
% 4.15/1.59 % (4134640)------------------------------
% 4.15/1.59 % (4134640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.79 % (4134640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.79 % (4134640)CaDiCaL version: 2.1.3
% 5.61/1.79 % (4134640)Termination reason: Refutation not found, incomplete strategy
% 5.61/1.79 % (4134640)Time elapsed: 0.001 s
% 5.61/1.79 % (4134640)Peak memory usage: 87 MB
% 5.61/1.79 % (4134643)lrs+10_64_to=lpo:sil=8000:random_seed=2998450404:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 5.61/1.79 % (4134641)Instruction limit reached!
% 5.61/1.79 % (4134641)------------------------------
% 5.61/1.79 % (4134641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.79 % (4134641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.79 % (4134641)CaDiCaL version: 2.1.3
% 5.61/1.79 % (4134641)Termination reason: Instruction limit
% 5.61/1.79 % (4134641)Termination phase: Saturation
% 5.61/1.79 % (4134641)Time elapsed: 0.118 s
% 5.61/1.79 % (4134641)Peak memory usage: 90 MB
% 5.61/1.79 % (4134641)Instructions burned: 189 (million)
% 5.61/1.79 % (4134643)Instruction limit reached!
% 5.61/1.79 % (4134643)------------------------------
% 5.61/1.79 % (4134643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.79 % (4134643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.79 % (4134643)CaDiCaL version: 2.1.3
% 5.61/1.79 % (4134643)Termination reason: Instruction limit
% 5.61/1.79 % (4134643)Termination phase: Saturation
% 5.61/1.79 % (4134643)Time elapsed: 0.082 s
% 5.61/1.79 % (4134643)Peak memory usage: 88 MB
% 5.61/1.79 % (4134643)Instructions burned: 127 (million)
% 5.61/1.79 % (4134642)Instruction limit reached!
% 5.61/1.79 % (4134642)------------------------------
% 5.61/1.79 % (4134642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.79 % (4134642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.79 % (4134642)CaDiCaL version: 2.1.3
% 5.61/1.79 % (4134642)Termination reason: Instruction limit
% 5.61/1.79 % (4134642)Termination phase: Saturation
% 5.61/1.79 % (4134642)Time elapsed: 0.137 s
% 5.61/1.79 % (4134642)Peak memory usage: 90 MB
% 5.61/1.79 % (4134642)Instructions burned: 219 (million)
% 5.61/1.79 % (4134579)First to succeed.
% 5.61/1.79 % (4134579)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4134488"
% 5.61/1.79 % (4134640)------------------------------
% 5.61/1.79 % (4134640)------------------------------
% 5.61/1.79 % (4134695)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1078813695:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.61/1.79 % (4134696)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2604215881:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 5.61/1.79 % (4134697)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2536363883:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 5.61/1.79 % (4134579)Refutation found. Thanks to Tanya!
% 5.61/1.79 % SZS status Unsatisfiable for theBenchmark
% 5.61/1.79 % SZS output start Proof for theBenchmark
% See solution above
% 5.61/1.79 % (4134579)------------------------------
% 5.61/1.79 % (4134579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.61/1.79 % (4134579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.61/1.79 % (4134579)CaDiCaL version: 2.1.3
% 5.61/1.79 % (4134579)Termination reason: Refutation
% 5.61/1.79 % (4134579)Time elapsed: 0.436 s
% 5.61/1.79 % (4134579)Peak memory usage: 128 MB
% 5.61/1.79 % (4134579)Instructions burned: 1012 (million)
% 5.61/1.79 % (4134579)------------------------------
% 5.61/1.79 % (4134579)------------------------------
% 5.61/1.79 % (4134488)Success in time 0.71 s
% 5.61/1.79 % Vampire exiting
%------------------------------------------------------------------------------