%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL115-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 11:51:15 AM UTC 2026
% Result : Unsatisfiable 4.84s 1.56s
% Output : Refutation 4.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 19 unt; 2 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 28 ~; 23 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 62 ( 0 sgn 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_1) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_3) ).
fof(f5,axiom,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_5) ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(not(implies(a,b)),not(b))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_mv_39) ).
fof(f10,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(X1,X0)) ),
inference(resolution,[],[f5,f1]) ).
fof(f12,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(resolution,[],[f3,f1]) ).
fof(f14,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[],[f12,f2]) ).
fof(f16,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(not(X1),not(X0)),X2))),
inference(resolution,[],[f12,f5]) ).
fof(f20,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f14,f1]) ).
fof(f23,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[],[f20,f5]) ).
fof(f26,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(resolution,[],[f20,f4]) ).
fof(f30,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
inference(resolution,[],[f23,f12]) ).
fof(f32,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(resolution,[],[f26,f12]) ).
fof(f45,definition,
( spl0_2
<=> ! [X0] : ~ is_a_theorem(X0) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f46,plain,
( ! [X0] : ~ is_a_theorem(X0)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f48,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f46,f2]) ).
fof(f66,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f48]) ).
fof(f133,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(not(X0),X2)) ),
inference(resolution,[],[f30,f1]) ).
fof(f798,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),X1),X2))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f32,f1]) ).
fof(f1315,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),not(X0)),X1))),
inference(resolution,[],[f798,f16]) ).
fof(f1400,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(not(X1),not(X0)),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f1315,f1]) ).
fof(f1437,plain,
! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(not(not(X1)),X1)) ),
inference(resolution,[],[f1400,f133]) ).
fof(f1456,definition,
( spl0_14
<=> ! [X1] : is_a_theorem(implies(not(not(X1)),X1)) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f1457,plain,
( ! [X1] : is_a_theorem(implies(not(not(X1)),X1))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f1456]) ).
fof(f1458,plain,
( spl0_14
| spl0_2 ),
inference(avatar_split_clause,[],[f1437,f45,f1456]) ).
fof(f1460,plain,
( ! [X0] : is_a_theorem(implies(X0,not(not(X0))))
| ~ spl0_14 ),
inference(resolution,[],[f1457,f10]) ).
fof(f1463,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(not(not(X0)),X1)))
| ~ spl0_14 ),
inference(resolution,[],[f1457,f12]) ).
fof(f1478,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,not(not(implies(X1,X0)))))
| ~ spl0_14 ),
inference(resolution,[],[f1460,f20]) ).
fof(f1911,plain,
( ! [X0,X1] :
( is_a_theorem(implies(not(not(X0)),X1))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl0_14 ),
inference(resolution,[],[f1463,f1]) ).
fof(f2107,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,not(X1)))
| is_a_theorem(implies(X1,not(X0))) )
| ~ spl0_14 ),
inference(resolution,[],[f1911,f10]) ).
fof(f2782,plain,
( ! [X0,X1] : is_a_theorem(implies(not(implies(X0,X1)),not(X1)))
| ~ spl0_14 ),
inference(resolution,[],[f2107,f1478]) ).
fof(f2837,plain,
( $false
| ~ spl0_14 ),
inference(resolution,[],[f2782,f6]) ).
fof(f2851,plain,
~ spl0_14,
inference(avatar_contradiction_clause,[],[f2837]) ).
cnf(s9,plain,
~ spl0_2,
inference(sat_conversion,[],[f66]) ).
cnf(s26,plain,
( spl0_2
| spl0_14 ),
inference(sat_conversion,[],[f1458]) ).
cnf(s107,plain,
~ spl0_14,
inference(sat_conversion,[],[f2851]) ).
cnf(s108,plain,
spl0_2,
inference(rat,[],[s26,s107]) ).
cnf(s109,plain,
$false,
inference(rat,[],[s9,s108]) ).
fof(f2852,plain,
$false,
inference(avatar_sat_refutation,[],[s109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL115-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n003.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
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 15:23:56 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 4.84/1.56 % (696155)Input is clausal, will run a generic CNF schedule.
% 4.84/1.56 % (696160)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=685707040:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.84/1.56 % (696161)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=262370287:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.84/1.56 % (696166)dis-21_1_sil=8000:lcm=predicate:random_seed=3662994004: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)
% 4.84/1.56 % (696164)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1680234285:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.84/1.56 % (696163)lrs+10_1_sil=8000:sp=occurrence:random_seed=1648630414:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.84/1.56 % (696165)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1883644143:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.84/1.56 % (696162)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2831463699:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.84/1.56 % (696163)Instruction limit reached!
% 4.84/1.56 % (696163)------------------------------
% 4.84/1.56 % (696163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.84/1.56 % (696163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.84/1.56 % (696163)CaDiCaL version: 2.1.3
% 4.84/1.56 % (696163)Termination reason: Instruction limit
% 4.84/1.56 % (696163)Termination phase: Saturation
% 4.84/1.56 % (696163)Time elapsed: 0.070 s
% 4.84/1.56 % (696163)Peak memory usage: 88 MB
% 4.84/1.56 % (696163)Instructions burned: 108 (million)
% 4.84/1.56 % (696164)Instruction limit reached!
% 4.84/1.56 % (696164)------------------------------
% 4.84/1.56 % (696164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.84/1.56 % (696164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.84/1.56 % (696164)CaDiCaL version: 2.1.3
% 4.84/1.56 % (696164)Termination reason: Instruction limit
% 4.84/1.56 % (696164)Termination phase: Saturation
% 4.84/1.56 % (696164)Time elapsed: 0.070 s
% 4.84/1.56 % (696164)Peak memory usage: 88 MB
% 4.84/1.56 % (696164)Instructions burned: 114 (million)
% 4.84/1.56 % (696166)Instruction limit reached!
% 4.84/1.56 % (696166)------------------------------
% 4.84/1.56 % (696166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.84/1.56 % (696166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.84/1.56 % (696166)CaDiCaL version: 2.1.3
% 4.84/1.56 % (696166)Termination reason: Instruction limit
% 4.84/1.56 % (696166)Termination phase: Saturation
% 4.84/1.56 % (696166)Time elapsed: 0.073 s
% 4.84/1.56 % (696166)Peak memory usage: 88 MB
% 4.84/1.56 % (696166)Instructions burned: 118 (million)
% 4.84/1.56 % (696165)Instruction limit reached!
% 4.84/1.56 % (696165)------------------------------
% 4.84/1.56 % (696165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.84/1.56 % (696165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.84/1.56 % (696165)CaDiCaL version: 2.1.3
% 4.84/1.56 % (696165)Termination reason: Instruction limit
% 4.84/1.56 % (696165)Termination phase: Saturation
% 4.84/1.56 % (696165)Time elapsed: 0.117 s
% 4.84/1.56 % (696165)Peak memory usage: 88 MB
% 4.84/1.56 % (696165)Instructions burned: 180 (million)
% 4.84/1.56 % (696174)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=2085581799:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.84/1.56 % (696176)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=796762911:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.84/1.56 % (696175)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3396249238: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)
% 4.84/1.56 % (696176)Refutation not found, incomplete strategy
% 4.84/1.56 % (696176)------------------------------
% 4.84/1.56 % (696176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.84/1.56 % (696174)Refutation not found, incomplete strategy
% 4.84/1.56 % (696174)------------------------------
% 4.84/1.56 % (696174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.84/1.56 % (696176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.84/1.56 % (696174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.84/1.56 % (696176)CaDiCaL version: 2.1.3
% 4.84/1.56 % (696176)Termination reason: Refutation not found, incomplete strategy
% 4.84/1.56 % (696176)Time elapsed: 0.001 s
% 4.84/1.56 % (696174)CaDiCaL version: 2.1.3
% 4.84/1.56 % (696176)Peak memory usage: 87 MB
% 4.84/1.56 % (696174)Termination reason: Refutation not found, incomplete strategy
% 4.84/1.56 % (696174)Time elapsed: 0.001 s
% 4.84/1.56 % (696174)Peak memory usage: 87 MB
% 4.84/1.56 % (696177)lrs+10_64_to=lpo:sil=8000:random_seed=1947944197:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 4.84/1.56 % (696177)First to succeed.
% 4.84/1.56 % (696177)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-696155"
% 4.84/1.56 % (696175)Instruction limit reached!
% 4.84/1.56 % (696175)------------------------------
% 4.84/1.56 % (696175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.84/1.56 % (696175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.84/1.56 % (696175)CaDiCaL version: 2.1.3
% 4.84/1.56 % (696175)Termination reason: Instruction limit
% 4.84/1.56 % (696175)Termination phase: Saturation
% 4.84/1.56 % (696175)Time elapsed: 0.111 s
% 4.84/1.56 % (696175)Peak memory usage: 90 MB
% 4.84/1.56 % (696175)Instructions burned: 190 (million)
% 4.84/1.56 % (696174)------------------------------
% 4.84/1.56 % (696174)------------------------------
% 4.84/1.56 % (696176)------------------------------
% 4.84/1.56 % (696176)------------------------------
% 4.84/1.56 % (696177)Refutation found. Thanks to Tanya!
% 4.84/1.56 % SZS status Unsatisfiable for theBenchmark
% 4.84/1.56 % SZS output start Proof for theBenchmark
% See solution above
% 4.84/1.56 % (696177)------------------------------
% 4.84/1.56 % (696177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.84/1.56 % (696177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.84/1.56 % (696177)CaDiCaL version: 2.1.3
% 4.84/1.56 % (696177)Termination reason: Refutation
% 4.84/1.56 % (696177)Time elapsed: 0.038 s
% 4.84/1.56 % (696177)Peak memory usage: 89 MB
% 4.84/1.56 % (696177)Instructions burned: 65 (million)
% 4.84/1.56 % (696177)------------------------------
% 4.84/1.56 % (696177)------------------------------
% 4.84/1.56 % (696155)Success in time 0.613 s
% 4.84/1.56 % Vampire exiting
%------------------------------------------------------------------------------