%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL399-1 : 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 : 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 11:52:17 AM UTC 2026
% Result : Unsatisfiable 5.87s 2.00s
% Output : Refutation 5.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 7 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 21 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 50 ( 50 !; 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,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(implies(not(x),not(implies(y,y))),x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_65) ).
fof(f8,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f2,f1]) ).
fof(f18,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f8,f1]) ).
fof(f19,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f18,f3]) ).
fof(f21,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X0,implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X1)) ),
inference(resolution,[],[f18,f8]) ).
fof(f22,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(not(X1),X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f18,f4]) ).
fof(f26,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f19,f4]) ).
fof(f30,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(not(X1),X2)) ),
inference(resolution,[],[f22,f1]) ).
fof(f49,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(not(implies(not(X0),X1)),X2))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f30,f4]) ).
fof(f54,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X3))))
| ~ is_a_theorem(implies(X2,implies(X1,X3))) ),
inference(resolution,[],[f21,f2]) ).
fof(f58,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X1,not(X0))) ),
inference(resolution,[],[f21,f4]) ).
fof(f81,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(X1,X0)) ),
inference(resolution,[],[f58,f19]) ).
fof(f113,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(not(X1),X2)))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f81,f49]) ).
fof(f178,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(not(implies(X0,X1)),implies(X2,X1)))
| is_a_theorem(implies(implies(X0,X2),implies(X0,X1))) ),
inference(resolution,[],[f54,f19]) ).
fof(f1193,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,not(X1)),implies(X0,X2)))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f178,f113]) ).
fof(f1315,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(not(X1),not(X0)),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f1193,f19]) ).
fof(f1366,plain,
~ is_a_theorem(implies(y,y)),
inference(resolution,[],[f1315,f5]) ).
fof(f1394,plain,
$false,
inference(forward_subsumption_resolution,[],[f1366,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL399-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 % Computer : n007.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sun Sep 27 15:38:25 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.48 Running first-order theorem proving
% 0.15/0.48 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
% 5.87/2.00 % (1607281)Input is clausal, will run a generic CNF schedule.
% 5.87/2.00 % (1607287)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=727558518:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.87/2.00 % (1607286)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=3612485105:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.87/2.00 % (1607288)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1581925183:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.87/2.00 % (1607290)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1074953657:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.87/2.00 % (1607289)lrs+10_1_sil=8000:sp=occurrence:random_seed=2015220984:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.87/2.00 % (1607292)dis-21_1_sil=8000:lcm=predicate:random_seed=1063237993: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)
% 5.87/2.00 % (1607291)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4021584254:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.87/2.00 % (1607289)First to succeed.
% 5.87/2.00 % (1607289)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1607281"
% 5.87/2.00 % (1607290)Instruction limit reached!
% 5.87/2.00 % (1607290)------------------------------
% 5.87/2.00 % (1607290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/2.00 % (1607290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/2.00 % (1607290)CaDiCaL version: 2.1.3
% 5.87/2.00 % (1607290)Termination reason: Instruction limit
% 5.87/2.00 % (1607290)Termination phase: Saturation
% 5.87/2.00 % (1607290)Time elapsed: 0.103 s
% 5.87/2.00 % (1607290)Peak memory usage: 88 MB
% 5.87/2.00 % (1607290)Instructions burned: 114 (million)
% 5.87/2.00 % (1607292)Instruction limit reached!
% 5.87/2.00 % (1607292)------------------------------
% 5.87/2.00 % (1607292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/2.00 % (1607292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/2.00 % (1607292)CaDiCaL version: 2.1.3
% 5.87/2.00 % (1607292)Termination reason: Instruction limit
% 5.87/2.00 % (1607292)Termination phase: Saturation
% 5.87/2.00 % (1607292)Time elapsed: 0.104 s
% 5.87/2.00 % (1607292)Peak memory usage: 88 MB
% 5.87/2.00 % (1607292)Instructions burned: 117 (million)
% 5.87/2.00 % (1607291)Instruction limit reached!
% 5.87/2.00 % (1607291)------------------------------
% 5.87/2.00 % (1607291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/2.00 % (1607291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/2.00 % (1607291)CaDiCaL version: 2.1.3
% 5.87/2.00 % (1607291)Termination reason: Instruction limit
% 5.87/2.00 % (1607291)Termination phase: Saturation
% 5.87/2.00 % (1607291)Time elapsed: 0.178 s
% 5.87/2.00 % (1607291)Peak memory usage: 89 MB
% 5.87/2.00 % (1607291)Instructions burned: 180 (million)
% 5.87/2.00 % (1607300)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=1359812727:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 5.87/2.00 % (1607300)Refutation not found, incomplete strategy
% 5.87/2.00 % (1607300)------------------------------
% 5.87/2.00 % (1607300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/2.00 % (1607300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/2.00 % (1607300)CaDiCaL version: 2.1.3
% 5.87/2.00 % (1607300)Termination reason: Refutation not found, incomplete strategy
% 5.87/2.00 % (1607300)Time elapsed: 0.002 s
% 5.87/2.00 % (1607300)Peak memory usage: 87 MB
% 5.87/2.00 % (1607302)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2770001676:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 5.87/2.00 % (1607302)Refutation not found, incomplete strategy
% 5.87/2.00 % (1607302)------------------------------
% 5.87/2.00 % (1607302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/2.00 % (1607302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/2.00 % (1607302)CaDiCaL version: 2.1.3
% 5.87/2.00 % (1607302)Termination reason: Refutation not found, incomplete strategy
% 5.87/2.00 % (1607302)Time elapsed: 0.001 s
% 5.87/2.00 % (1607302)Peak memory usage: 87 MB
% 5.87/2.00 % (1607301)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1204570866: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)
% 5.87/2.00 % (1607289)Refutation found. Thanks to Tanya!
% 5.87/2.00 % SZS status Unsatisfiable for theBenchmark
% 5.87/2.00 % SZS output start Proof for theBenchmark
% See solution above
% 5.87/2.00 % (1607289)------------------------------
% 5.87/2.00 % (1607289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.87/2.00 % (1607289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.87/2.00 % (1607289)CaDiCaL version: 2.1.3
% 5.87/2.00 % (1607289)Termination reason: Refutation
% 5.87/2.00 % (1607289)Time elapsed: 0.065 s
% 5.87/2.00 % (1607289)Peak memory usage: 89 MB
% 5.87/2.00 % (1607289)Instructions burned: 63 (million)
% 5.87/2.00 % (1607289)------------------------------
% 5.87/2.00 % (1607289)------------------------------
% 5.87/2.00 % (1607281)Success in time 0.738 s
% 5.87/2.00 % Vampire exiting
%------------------------------------------------------------------------------