%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL401-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 11:52:18 AM UTC 2026
% Result : Unsatisfiable 0.18s 2.20s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 5
% Syntax : Number of formulae : 36 ( 35 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 5 ( 3 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 6 ( 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 : 91 ( 91 !; 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,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(not(implies(x,y)),not(y))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_67) ).
fof(f7,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(unit_resulting_resolution,[],[f1,f4,f2]) ).
fof(f8,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))),
inference(unit_resulting_resolution,[],[f1,f2,f2]) ).
fof(f12,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X0,implies(X3,X2))))),
inference(unit_resulting_resolution,[],[f1,f8,f8]) ).
fof(f21,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
inference(unit_resulting_resolution,[],[f1,f4,f12]) ).
fof(f32,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(unit_resulting_resolution,[],[f1,f2,f3]) ).
fof(f42,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(implies(X1,X2),implies(X0,X2)))),
inference(unit_resulting_resolution,[],[f1,f12,f32]) ).
fof(f52,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(unit_resulting_resolution,[],[f1,f3,f7]) ).
fof(f95,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(unit_resulting_resolution,[],[f1,f7,f21]) ).
fof(f112,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(not(X1),X2)),X3),implies(X1,X3))),
inference(unit_resulting_resolution,[],[f1,f2,f95]) ).
fof(f141,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
inference(unit_resulting_resolution,[],[f1,f42,f112]) ).
fof(f173,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(unit_resulting_resolution,[],[f1,f52,f141]) ).
fof(f213,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(unit_resulting_resolution,[],[f1,f32,f173]) ).
fof(f330,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X2,implies(X0,X1)))),
inference(unit_resulting_resolution,[],[f1,f12,f213]) ).
fof(f353,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(unit_resulting_resolution,[],[f1,f112,f330]) ).
fof(f359,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(X2,implies(implies(X1,X0),X0)))),
inference(unit_resulting_resolution,[],[f1,f8,f330]) ).
fof(f401,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(unit_resulting_resolution,[],[f1,f42,f353]) ).
fof(f412,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(unit_resulting_resolution,[],[f1,f7,f401]) ).
fof(f485,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X0),implies(X1,X0))),
inference(unit_resulting_resolution,[],[f1,f32,f412]) ).
fof(f600,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X0,X2),X2)))),
inference(unit_resulting_resolution,[],[f1,f401,f359]) ).
fof(f650,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),X2)))),
inference(unit_resulting_resolution,[],[f1,f330,f600]) ).
fof(f670,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(unit_resulting_resolution,[],[f1,f4,f650]) ).
fof(f764,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(unit_resulting_resolution,[],[f1,f12,f670]) ).
fof(f779,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(unit_resulting_resolution,[],[f1,f4,f764]) ).
fof(f803,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(unit_resulting_resolution,[],[f1,f2,f764]) ).
fof(f845,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(not(X1),implies(X0,X2)))),
inference(unit_resulting_resolution,[],[f1,f12,f779]) ).
fof(f847,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
inference(unit_resulting_resolution,[],[f1,f2,f779]) ).
fof(f907,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),implies(X1,X2)),X3),implies(implies(X1,X0),X3))),
inference(unit_resulting_resolution,[],[f1,f2,f845]) ).
fof(f952,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(unit_resulting_resolution,[],[f1,f3,f803]) ).
fof(f984,plain,
! [X0,X1] : is_a_theorem(implies(not(not(X0)),implies(X1,X0))),
inference(unit_resulting_resolution,[],[f1,f485,f847]) ).
fof(f1414,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(not(X1),X0))),
inference(unit_resulting_resolution,[],[f1,f952,f907]) ).
fof(f1730,plain,
$false,
inference(unit_resulting_resolution,[],[f1,f5,f984,f1414]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL401-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n004.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 15:40:07 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 6.79/1.94 % (3688149)Input is clausal, will run a generic CNF schedule.
% 6.79/1.94 % (3688168)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1355810059:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.79/1.94 % (3688172)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1274685821:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.79/1.94 % (3688170)lrs+10_1_sil=8000:sp=occurrence:random_seed=3895898185:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.79/1.94 % (3688169)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=162830027:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.79/1.94 % (3688173)dis-21_1_sil=8000:lcm=predicate:random_seed=1712656671: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)
% 6.79/1.94 % (3688167)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=4094447045:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.79/1.94 % (3688171)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4039551023:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.79/1.94 % (3688170)Instruction limit reached!
% 6.79/1.94 % (3688170)------------------------------
% 6.79/1.94 % (3688170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/1.94 % (3688170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.94 % (3688170)CaDiCaL version: 2.1.3
% 6.79/1.94 % (3688170)Termination reason: Instruction limit
% 6.79/1.94 % (3688170)Termination phase: Saturation
% 6.79/1.94 % (3688170)Time elapsed: 0.070 s
% 6.79/1.94 % (3688170)Peak memory usage: 88 MB
% 6.79/1.94 % (3688170)Instructions burned: 108 (million)
% 6.79/1.94 % (3688173)Instruction limit reached!
% 6.79/1.94 % (3688173)------------------------------
% 6.79/1.94 % (3688173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/1.94 % (3688173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.94 % (3688173)CaDiCaL version: 2.1.3
% 6.79/1.94 % (3688173)Termination reason: Instruction limit
% 6.79/1.94 % (3688173)Termination phase: Saturation
% 6.79/1.94 % (3688173)Time elapsed: 0.071 s
% 6.79/1.94 % (3688173)Peak memory usage: 88 MB
% 6.79/1.94 % (3688173)Instructions burned: 118 (million)
% 6.79/1.94 % (3688171)Instruction limit reached!
% 6.79/1.94 % (3688171)------------------------------
% 6.79/1.94 % (3688171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/1.94 % (3688171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.94 % (3688171)CaDiCaL version: 2.1.3
% 6.79/1.94 % (3688171)Termination reason: Instruction limit
% 6.79/1.94 % (3688171)Termination phase: Saturation
% 6.79/1.94 % (3688171)Time elapsed: 0.081 s
% 6.79/1.94 % (3688171)Peak memory usage: 88 MB
% 6.79/1.94 % (3688171)Instructions burned: 114 (million)
% 6.79/1.94 % (3688172)Instruction limit reached!
% 6.79/1.94 % (3688172)------------------------------
% 6.79/1.94 % (3688172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/1.94 % (3688172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.94 % (3688172)CaDiCaL version: 2.1.3
% 6.79/1.94 % (3688172)Termination reason: Instruction limit
% 6.79/1.94 % (3688172)Termination phase: Saturation
% 6.79/1.94 % (3688172)Time elapsed: 0.118 s
% 6.79/1.94 % (3688172)Peak memory usage: 89 MB
% 6.79/1.94 % (3688172)Instructions burned: 180 (million)
% 6.79/1.94 % (3688182)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=776218228: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)
% 6.79/1.94 % (3688181)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=2398482002:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.79/1.94 % (3688181)Refutation not found, incomplete strategy
% 6.79/1.94 % (3688181)------------------------------
% 6.79/1.94 % (3688181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.79/1.94 % (3688181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.94 % (3688181)CaDiCaL version: 2.1.3
% 0.18/2.20 % (3688181)Termination reason: Refutation not found, incomplete strategy
% 0.18/2.20 % (3688181)Time elapsed: 0.002 s
% 0.18/2.20 % (3688181)Peak memory usage: 87 MB
% 0.18/2.20 % (3688185)lrs+10_64_to=lpo:sil=8000:random_seed=696734447:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 0.18/2.20 % (3688184)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=976255793:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 0.18/2.20 % (3688184)Refutation not found, incomplete strategy
% 0.18/2.20 % (3688184)------------------------------
% 0.18/2.20 % (3688184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.20 % (3688184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.20 % (3688184)CaDiCaL version: 2.1.3
% 0.18/2.20 % (3688184)Termination reason: Refutation not found, incomplete strategy
% 0.18/2.20 % (3688184)Time elapsed: 0.001 s
% 0.18/2.20 % (3688184)Peak memory usage: 87 MB
% 0.18/2.20 % (3688182)Instruction limit reached!
% 0.18/2.20 % (3688182)------------------------------
% 0.18/2.20 % (3688182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.20 % (3688182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.20 % (3688182)CaDiCaL version: 2.1.3
% 0.18/2.20 % (3688182)Termination reason: Instruction limit
% 0.18/2.20 % (3688182)Termination phase: Saturation
% 0.18/2.20 % (3688182)Time elapsed: 0.182 s
% 0.18/2.20 % (3688182)Peak memory usage: 89 MB
% 0.18/2.20 % (3688182)Instructions burned: 189 (million)
% 0.18/2.20 % (3688185)Instruction limit reached!
% 0.18/2.20 % (3688185)------------------------------
% 0.18/2.20 % (3688185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.20 % (3688185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.20 % (3688185)CaDiCaL version: 2.1.3
% 0.18/2.20 % (3688185)Termination reason: Instruction limit
% 0.18/2.20 % (3688185)Termination phase: Saturation
% 0.18/2.20 % (3688185)Time elapsed: 0.126 s
% 0.18/2.20 % (3688185)Peak memory usage: 88 MB
% 0.18/2.20 % (3688185)Instructions burned: 127 (million)
% 0.18/2.20 % (3688168)First to succeed.
% 0.18/2.20 % (3688168)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3688149"
% 0.18/2.20 % (3688181)------------------------------
% 0.18/2.20 % (3688181)------------------------------
% 0.18/2.20 % (3688184)------------------------------
% 0.18/2.20 % (3688184)------------------------------
% 0.18/2.20 % (3688207)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2617905398:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 0.18/2.20 % (3688209)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=341575848:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 0.18/2.20 % (3688168)Refutation found. Thanks to Tanya!
% 0.18/2.20 % SZS status Unsatisfiable for theBenchmark
% 0.18/2.20 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/2.20 % (3688168)------------------------------
% 0.18/2.20 % (3688168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.20 % (3688168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.20 % (3688168)CaDiCaL version: 2.1.3
% 0.18/2.20 % (3688168)Termination reason: Refutation
% 0.18/2.20 % (3688168)Time elapsed: 0.681 s
% 0.18/2.20 % (3688168)Peak memory usage: 132 MB
% 0.18/2.20 % (3688168)Instructions burned: 1359 (million)
% 0.18/2.20 % (3688168)------------------------------
% 0.18/2.20 % (3688168)------------------------------
% 0.18/2.20 % (3688149)Success in time 1.055 s
% 0.18/2.20 % Vampire exiting
%------------------------------------------------------------------------------