%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL051-1 : 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 : 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 11:51:02 AM UTC 2026
% Result : Unsatisfiable 5.95s 1.85s
% Output : Refutation 5.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 21 unt; 0 def)
% Number of atoms : 24 ( 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 56 ( 56 !; 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(implies(b,c),implies(implies(a,b),implies(a,c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_22) ).
fof(f7,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(f9,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,f7,f7]) ).
fof(f26,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
inference(unit_resulting_resolution,[],[f1,f9,f4]) ).
fof(f27,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(unit_resulting_resolution,[],[f1,f2,f4]) ).
fof(f41,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(unit_resulting_resolution,[],[f1,f2,f3]) ).
fof(f43,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(unit_resulting_resolution,[],[f1,f27,f3]) ).
fof(f54,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,f9,f41]) ).
fof(f105,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(unit_resulting_resolution,[],[f1,f27,f26]) ).
fof(f123,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,f105]) ).
fof(f133,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
inference(unit_resulting_resolution,[],[f1,f54,f123]) ).
fof(f167,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(unit_resulting_resolution,[],[f1,f43,f133]) ).
fof(f170,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(X0,X3))),
inference(unit_resulting_resolution,[],[f1,f2,f133]) ).
fof(f225,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(unit_resulting_resolution,[],[f1,f41,f167]) ).
fof(f380,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X2,implies(X0,X1)))),
inference(unit_resulting_resolution,[],[f1,f9,f225]) ).
fof(f408,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X0,X2),X2)))),
inference(unit_resulting_resolution,[],[f1,f170,f380]) ).
fof(f456,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(unit_resulting_resolution,[],[f1,f54,f408]) ).
fof(f479,plain,
$false,
inference(unit_resulting_resolution,[],[f1,f5,f7,f456]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL051-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n003.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 15:20:41 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 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
% 5.95/1.85 % (689651)Input is clausal, will run a generic CNF schedule.
% 5.95/1.85 % (689704)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3734316928:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.95/1.85 % (689708)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2846697910:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.95/1.85 % (689705)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=333577137:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.95/1.85 % (689707)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1887606670:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.95/1.85 % (689709)dis-21_1_sil=8000:lcm=predicate:random_seed=913987933: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)
% 5.95/1.85 % (689706)lrs+10_1_sil=8000:sp=occurrence:random_seed=3131699067:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.95/1.85 % (689703)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=3086462836:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.95/1.85 % (689707)Instruction limit reached!
% 5.95/1.85 % (689707)------------------------------
% 5.95/1.85 % (689707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/1.85 % (689707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.85 % (689707)CaDiCaL version: 2.1.3
% 5.95/1.85 % (689707)Termination reason: Instruction limit
% 5.95/1.85 % (689707)Termination phase: Saturation
% 5.95/1.85 % (689707)Time elapsed: 0.063 s
% 5.95/1.85 % (689707)Peak memory usage: 88 MB
% 5.95/1.85 % (689707)Instructions burned: 114 (million)
% 5.95/1.85 % (689706)Instruction limit reached!
% 5.95/1.85 % (689706)------------------------------
% 5.95/1.85 % (689706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/1.85 % (689706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.85 % (689706)CaDiCaL version: 2.1.3
% 5.95/1.85 % (689706)Termination reason: Instruction limit
% 5.95/1.85 % (689706)Termination phase: Saturation
% 5.95/1.85 % (689706)Time elapsed: 0.070 s
% 5.95/1.85 % (689706)Peak memory usage: 88 MB
% 5.95/1.85 % (689706)Instructions burned: 108 (million)
% 5.95/1.85 % (689709)Instruction limit reached!
% 5.95/1.85 % (689709)------------------------------
% 5.95/1.85 % (689709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/1.85 % (689709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.85 % (689709)CaDiCaL version: 2.1.3
% 5.95/1.85 % (689709)Termination reason: Instruction limit
% 5.95/1.85 % (689709)Termination phase: Saturation
% 5.95/1.85 % (689709)Time elapsed: 0.071 s
% 5.95/1.85 % (689709)Peak memory usage: 88 MB
% 5.95/1.85 % (689709)Instructions burned: 118 (million)
% 5.95/1.85 % (689708)Instruction limit reached!
% 5.95/1.85 % (689708)------------------------------
% 5.95/1.85 % (689708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/1.85 % (689708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.85 % (689708)CaDiCaL version: 2.1.3
% 5.95/1.85 % (689708)Termination reason: Instruction limit
% 5.95/1.85 % (689708)Termination phase: Saturation
% 5.95/1.85 % (689708)Time elapsed: 0.119 s
% 5.95/1.85 % (689708)Peak memory usage: 89 MB
% 5.95/1.85 % (689708)Instructions burned: 181 (million)
% 5.95/1.85 % (689717)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=1331971981:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.95/1.85 % (689718)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3994438589: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)
% 5.95/1.85 % (689719)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1452678253:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.95/1.85 % (689717)Refutation not found, incomplete strategy
% 5.95/1.85 % (689717)------------------------------
% 5.95/1.85 % (689717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/1.85 % (689719)Refutation not found, incomplete strategy
% 5.95/1.85 % (689719)------------------------------
% 5.95/1.85 % (689719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/1.85 % (689717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.85 % (689719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.85 % (689719)CaDiCaL version: 2.1.3
% 5.95/1.85 % (689717)CaDiCaL version: 2.1.3
% 5.95/1.85 % (689719)Termination reason: Refutation not found, incomplete strategy
% 5.95/1.85 % (689719)Time elapsed: 0.001 s
% 5.95/1.85 % (689717)Termination reason: Refutation not found, incomplete strategy
% 5.95/1.85 % (689717)Time elapsed: 0.001 s
% 5.95/1.85 % (689719)Peak memory usage: 87 MB
% 5.95/1.85 % (689717)Peak memory usage: 87 MB
% 5.95/1.85 % (689720)lrs+10_64_to=lpo:sil=8000:random_seed=207682023:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 5.95/1.85 % (689718)Instruction limit reached!
% 5.95/1.85 % (689718)------------------------------
% 5.95/1.85 % (689718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/1.85 % (689718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.85 % (689718)CaDiCaL version: 2.1.3
% 5.95/1.85 % (689718)Termination reason: Instruction limit
% 5.95/1.85 % (689718)Termination phase: Saturation
% 5.95/1.85 % (689718)Time elapsed: 0.107 s
% 5.95/1.85 % (689718)Peak memory usage: 88 MB
% 5.95/1.85 % (689718)Instructions burned: 190 (million)
% 5.95/1.85 % (689704)First to succeed.
% 5.95/1.85 % (689704)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-689651"
% 5.95/1.85 % (689720)Instruction limit reached!
% 5.95/1.85 % (689720)------------------------------
% 5.95/1.85 % (689720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/1.85 % (689720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.85 % (689720)CaDiCaL version: 2.1.3
% 5.95/1.85 % (689720)Termination reason: Instruction limit
% 5.95/1.85 % (689720)Termination phase: Saturation
% 5.95/1.85 % (689720)Time elapsed: 0.083 s
% 5.95/1.85 % (689720)Peak memory usage: 88 MB
% 5.95/1.85 % (689720)Instructions burned: 126 (million)
% 5.95/1.85 % (689717)------------------------------
% 5.95/1.85 % (689717)------------------------------
% 5.95/1.85 % (689719)------------------------------
% 5.95/1.85 % (689719)------------------------------
% 5.95/1.85 % (689704)Refutation found. Thanks to Tanya!
% 5.95/1.85 % SZS status Unsatisfiable for theBenchmark
% 5.95/1.85 % SZS output start Proof for theBenchmark
% See solution above
% 5.95/1.85 % (689704)------------------------------
% 5.95/1.85 % (689704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.95/1.85 % (689704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.85 % (689704)CaDiCaL version: 2.1.3
% 5.95/1.85 % (689704)Termination reason: Refutation
% 5.95/1.85 % (689704)Time elapsed: 0.390 s
% 5.95/1.85 % (689704)Peak memory usage: 129 MB
% 5.95/1.85 % (689704)Instructions burned: 1048 (million)
% 5.95/1.85 % (689704)------------------------------
% 5.95/1.85 % (689704)------------------------------
% 5.95/1.85 % (689651)Success in time 0.753 s
% 5.95/1.85 % Vampire exiting
%------------------------------------------------------------------------------