%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL065-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 11:51:05 AM UTC 2026
% Result : Unsatisfiable 12.24s 3.28s
% Output : Refutation 12.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 12 unt; 1 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 28 ~; 16 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_18) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_35) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_49) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(implies(not(a),a),a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_2) ).
fof(f6,plain,
! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X0)) ),
inference(resolution,[],[f1,f2]) ).
fof(f11,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),not(X2)),implies(X2,X1)))),
inference(resolution,[],[f4,f6]) ).
fof(f18,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f3,f1]) ).
fof(f20,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f18,f1]) ).
fof(f22,plain,
! [X0] :
( ~ is_a_theorem(implies(implies(not(a),a),implies(X0,a)))
| ~ is_a_theorem(implies(implies(not(a),a),X0)) ),
inference(resolution,[],[f20,f5]) ).
fof(f27,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(not(a),a),implies(X1,implies(X0,a))))
| ~ is_a_theorem(implies(implies(not(a),a),X1))
| ~ is_a_theorem(implies(implies(not(a),a),X0)) ),
inference(resolution,[],[f22,f20]) ).
fof(f39,plain,
! [X0] :
( ~ is_a_theorem(implies(implies(not(a),a),implies(not(a),not(X0))))
| ~ is_a_theorem(implies(implies(not(a),a),X0)) ),
inference(resolution,[],[f27,f11]) ).
fof(f44,definition,
( spl0_3
<=> ! [X0] : ~ is_a_theorem(implies(implies(not(a),a),X0)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f45,plain,
( ! [X0] : ~ is_a_theorem(implies(implies(not(a),a),X0))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f49,plain,
! [X0] :
( ~ is_a_theorem(implies(not(a),implies(a,not(X0))))
| ~ is_a_theorem(implies(implies(not(a),a),X0)) ),
inference(resolution,[],[f39,f18]) ).
fof(f53,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(a),implies(X1,implies(a,not(X0)))))
| ~ is_a_theorem(implies(not(a),X1))
| ~ is_a_theorem(implies(implies(not(a),a),X0)) ),
inference(resolution,[],[f49,f20]) ).
fof(f60,plain,
! [X0] :
( ~ is_a_theorem(implies(not(a),implies(not(not(X0)),not(a))))
| ~ is_a_theorem(implies(implies(not(a),a),X0)) ),
inference(resolution,[],[f53,f11]) ).
fof(f62,plain,
! [X0] : ~ is_a_theorem(implies(implies(not(a),a),X0)),
inference(forward_subsumption_resolution,[],[f60,f2]) ).
fof(f63,plain,
spl0_3,
inference(avatar_split_clause,[],[f62,f44]) ).
fof(f79,plain,
( $false
| ~ spl0_3 ),
inference(resolution,[],[f45,f2]) ).
fof(f91,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f79]) ).
cnf(s5,plain,
spl0_3,
inference(sat_conversion,[],[f63]) ).
cnf(s12,plain,
~ spl0_3,
inference(sat_conversion,[],[f91]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s5,s12]) ).
fof(f92,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL065-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.47 % Computer : n007.cluster.edu
% 0.21/0.47 % Model : x86_64 x86_64
% 0.21/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.47 % Memory : 8046.5625MB
% 0.21/0.47 % OS : Linux 6.8.0-71-generic
% 0.21/0.47 % CPULimit : 300
% 0.21/0.47 % WCLimit : 300
% 0.21/0.47 % DateTime : Sun Sep 27 15:18:10 UTC 2026
% 0.21/0.47 % CPUTime :
% 0.21/0.47 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.53 Running first-order theorem proving
% 0.24/0.53 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
% 10.15/2.89 % (1572996)Input is clausal, will run a generic CNF schedule.
% 10.15/2.89 % (1573003)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1473508191:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.15/2.89 % (1573001)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=3645762219:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.15/2.89 % (1573002)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2133862937:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.15/2.89 % (1573007)dis-21_1_sil=8000:lcm=predicate:random_seed=2457788650: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)
% 10.15/2.89 % (1573005)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2135375341:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.15/2.89 % (1573004)lrs+10_1_sil=8000:sp=occurrence:random_seed=4266057760:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.15/2.89 % (1573006)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4021560501:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.15/2.89 % (1573007)Instruction limit reached!
% 10.15/2.89 % (1573007)------------------------------
% 10.15/2.89 % (1573007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.15/2.89 % (1573007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.15/2.89 % (1573007)CaDiCaL version: 2.1.3
% 10.15/2.89 % (1573007)Termination reason: Instruction limit
% 10.15/2.89 % (1573007)Termination phase: Saturation
% 10.15/2.89 % (1573007)Time elapsed: 0.105 s
% 10.15/2.89 % (1573007)Peak memory usage: 88 MB
% 10.15/2.89 % (1573007)Instructions burned: 118 (million)
% 10.15/2.89 % (1573005)Instruction limit reached!
% 10.15/2.89 % (1573005)------------------------------
% 10.15/2.89 % (1573005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.15/2.89 % (1573005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.15/2.89 % (1573005)CaDiCaL version: 2.1.3
% 10.15/2.89 % (1573005)Termination reason: Instruction limit
% 10.15/2.89 % (1573005)Termination phase: Saturation
% 10.15/2.89 % (1573005)Time elapsed: 0.111 s
% 10.15/2.89 % (1573005)Peak memory usage: 88 MB
% 10.15/2.89 % (1573005)Instructions burned: 115 (million)
% 10.15/2.89 % (1573004)Instruction limit reached!
% 10.15/2.89 % (1573004)------------------------------
% 10.15/2.89 % (1573004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.15/2.89 % (1573004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.15/2.89 % (1573004)CaDiCaL version: 2.1.3
% 10.15/2.89 % (1573004)Termination reason: Instruction limit
% 10.15/2.89 % (1573004)Termination phase: Saturation
% 10.15/2.89 % (1573004)Time elapsed: 0.112 s
% 10.15/2.89 % (1573004)Peak memory usage: 89 MB
% 10.15/2.89 % (1573004)Instructions burned: 107 (million)
% 10.15/2.89 % (1573006)Instruction limit reached!
% 10.15/2.89 % (1573006)------------------------------
% 10.15/2.89 % (1573006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.15/2.89 % (1573006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.15/2.89 % (1573006)CaDiCaL version: 2.1.3
% 10.15/2.89 % (1573006)Termination reason: Instruction limit
% 10.15/2.89 % (1573006)Termination phase: Saturation
% 10.15/2.89 % (1573006)Time elapsed: 0.189 s
% 10.15/2.89 % (1573006)Peak memory usage: 89 MB
% 10.15/2.89 % (1573006)Instructions burned: 180 (million)
% 10.15/2.89 % (1573015)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=2531571429:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 10.15/2.89 % (1573015)Refutation not found, incomplete strategy
% 10.15/2.89 % (1573015)------------------------------
% 10.15/2.89 % (1573015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.15/2.89 % (1573015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.15/2.89 % (1573015)CaDiCaL version: 2.1.3
% 10.15/2.89 % (1573015)Termination reason: Refutation not found, incomplete strategy
% 10.15/2.89 % (1573015)Time elapsed: 0.002 s
% 10.15/2.89 % (1573015)Peak memory usage: 87 MB
% 10.15/2.89 % (1573016)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2358377332: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)
% 12.24/3.28 % (1573017)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2542033017:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 12.24/3.28 % (1573017)Refutation not found, incomplete strategy
% 12.24/3.28 % (1573017)------------------------------
% 12.24/3.28 % (1573017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.24/3.28 % (1573017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.24/3.28 % (1573017)CaDiCaL version: 2.1.3
% 12.24/3.28 % (1573017)Termination reason: Refutation not found, incomplete strategy
% 12.24/3.28 % (1573017)Time elapsed: 0.001 s
% 12.24/3.28 % (1573017)Peak memory usage: 87 MB
% 12.24/3.28 % (1573018)lrs+10_64_to=lpo:sil=8000:random_seed=156119549:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 12.24/3.28 % (1573016)Instruction limit reached!
% 12.24/3.28 % (1573016)------------------------------
% 12.24/3.28 % (1573016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.24/3.28 % (1573016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.24/3.28 % (1573016)CaDiCaL version: 2.1.3
% 12.24/3.28 % (1573016)Termination reason: Instruction limit
% 12.24/3.28 % (1573016)Termination phase: Saturation
% 12.24/3.28 % (1573016)Time elapsed: 0.178 s
% 12.24/3.28 % (1573016)Peak memory usage: 90 MB
% 12.24/3.28 % (1573016)Instructions burned: 190 (million)
% 12.24/3.28 % (1573018)Instruction limit reached!
% 12.24/3.28 % (1573018)------------------------------
% 12.24/3.28 % (1573018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.24/3.28 % (1573018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.24/3.28 % (1573018)CaDiCaL version: 2.1.3
% 12.24/3.28 % (1573018)Termination reason: Instruction limit
% 12.24/3.28 % (1573018)Termination phase: Saturation
% 12.24/3.28 % (1573018)Time elapsed: 0.129 s
% 12.24/3.28 % (1573018)Peak memory usage: 89 MB
% 12.24/3.28 % (1573018)Instructions burned: 127 (million)
% 12.24/3.28 % (1573015)------------------------------
% 12.24/3.28 % (1573015)------------------------------
% 12.24/3.28 % (1573017)------------------------------
% 12.24/3.28 % (1573017)------------------------------
% 12.24/3.28 % (1573023)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1837998122:avsq=on:i=194:fgj=on:bd=preordered_2991 on theBenchmark for (2991ds/194Mi)
% 12.24/3.28 % (1573023)First to succeed.
% 12.24/3.28 % (1573023)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1572996"
% 12.24/3.28 % (1573024)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2268373483:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 12.24/3.28 % (1573002)Also succeeded, but the first one will report.
% 12.24/3.28 % (1573025)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1863623453:i=3394:sd=4:ss=included:sgt=64_2989 on theBenchmark for (2989ds/3394Mi)
% 12.24/3.28 % (1573024)Instruction limit reached!
% 12.24/3.28 % (1573024)------------------------------
% 12.24/3.28 % (1573024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.24/3.28 % (1573024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.24/3.28 % (1573024)CaDiCaL version: 2.1.3
% 12.24/3.28 % (1573024)Termination reason: Instruction limit
% 12.24/3.28 % (1573024)Termination phase: Saturation
% 12.24/3.28 % (1573024)Time elapsed: 0.173 s
% 12.24/3.28 % (1573024)Peak memory usage: 90 MB
% 12.24/3.28 % (1573024)Instructions burned: 157 (million)
% 12.24/3.28 % (1573026)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1542181498:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 12.24/3.28 % (1573026)Instruction limit reached!
% 12.24/3.28 % (1573026)------------------------------
% 12.24/3.28 % (1573026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.24/3.28 % (1573026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.24/3.28 % (1573026)CaDiCaL version: 2.1.3
% 12.24/3.28 % (1573026)Termination reason: Instruction limit
% 12.24/3.28 % (1573026)Termination phase: Saturation
% 12.24/3.28 % (1573026)Time elapsed: 0.096 s
% 12.24/3.28 % (1573026)Peak memory usage: 88 MB
% 12.24/3.28 % (1573026)Instructions burned: 106 (million)
% 12.24/3.28 % (1573023)Refutation found. Thanks to Tanya!
% 12.24/3.28 % SZS status Unsatisfiable for theBenchmark
% 12.24/3.28 % SZS output start Proof for theBenchmark
% See solution above
% 12.24/3.28 % (1573023)------------------------------
% 12.24/3.28 % (1573023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.24/3.28 % (1573023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.24/3.28 % (1573023)CaDiCaL version: 2.1.3
% 12.24/3.28 % (1573023)Termination reason: Refutation
% 12.24/3.28 % (1573023)Time elapsed: 0.006 s
% 12.24/3.28 % (1573023)Peak memory usage: 88 MB
% 12.24/3.28 % (1573023)Instructions burned: 3 (million)
% 12.24/3.28 % (1573023)------------------------------
% 12.24/3.28 % (1573023)------------------------------
% 12.24/3.28 % (1572996)Success in time 1.597 s
% 12.24/3.28 % Vampire exiting
%------------------------------------------------------------------------------