%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL875-1 : TPTP v9.3.1. Bugfixed v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 12:00:54 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.51s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 68 ( 18 unt; 5 def)
% Number of atoms : 135 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 130 ( 63 ~; 62 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 6 prp; 0-1 aty)
% Number of functors : 24 ( 24 usr; 23 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn 53 !; 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(X2,X0),implies(X2,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c) ).
fof(f4,axiom,
! [X0] : is_a_theorem(implies(X0,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i) ).
fof(f5,axiom,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w) ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(implies(implies(x,implies(implies(implies(y,y),implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w))))),w)),implies(implies(implies(implies(implies(v6,v7),implies(implies(v7,v8),implies(v6,v8))),implies(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14),v15)),v15),implies(implies(v16,implies(implies(implies(v17,v17),implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))))),v21)),v22))),v22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_rezus) ).
fof(f10,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,X0),implies(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f2,f1]) ).
fof(f11,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(X1,implies(X0,X2))) ),
inference(resolution,[],[f3,f1]) ).
fof(f12,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X2,X1)) ),
inference(resolution,[],[f10,f1]) ).
fof(f13,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(resolution,[],[f11,f4]) ).
fof(f15,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,implies(X0,X2)),implies(X1,X2)))),
inference(resolution,[],[f11,f3]) ).
fof(f16,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(resolution,[],[f11,f2]) ).
fof(f17,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X0,X1),X2)))
| ~ is_a_theorem(implies(X1,X2)) ),
inference(resolution,[],[f11,f10]) ).
fof(f19,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f13,f1]) ).
fof(f21,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X1,implies(implies(X0,implies(X1,X2)),X2)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f19,f11]) ).
fof(f38,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,implies(X0,X2)),implies(X1,X2)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f15,f1]) ).
fof(f46,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,X0),X1))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f17,f1]) ).
fof(f59,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X1,implies(X0,X2)),X3))
| ~ is_a_theorem(implies(implies(X1,X2),X3))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f38,f12]) ).
fof(f67,plain,
( ~ is_a_theorem(implies(x,implies(implies(implies(y,y),implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w))))),w)))
| ~ is_a_theorem(implies(implies(implies(implies(implies(implies(v6,v7),implies(implies(v7,v8),implies(v6,v8))),implies(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14),v15)),v15),implies(implies(v16,implies(implies(implies(v17,v17),implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))))),v21)),v22)),v22)) ),
inference(resolution,[],[f46,f6]) ).
fof(f73,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(implies(X2,implies(implies(X0,X1),X3)))
| ~ is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f46,f11]) ).
fof(f75,definition,
( spl0_1
<=> is_a_theorem(implies(implies(implies(implies(implies(implies(v6,v7),implies(implies(v7,v8),implies(v6,v8))),implies(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14),v15)),v15),implies(implies(v16,implies(implies(implies(v17,v17),implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))))),v21)),v22)),v22)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f77,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(v6,v7),implies(implies(v7,v8),implies(v6,v8))),implies(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14),v15)),v15),implies(implies(v16,implies(implies(implies(v17,v17),implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))))),v21)),v22)),v22))
| spl0_1 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f79,definition,
( spl0_2
<=> is_a_theorem(implies(x,implies(implies(implies(y,y),implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w))))),w))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f81,plain,
( ~ is_a_theorem(implies(x,implies(implies(implies(y,y),implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w))))),w)))
| spl0_2 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f67,f79,f75]) ).
fof(f83,plain,
( ~ is_a_theorem(implies(implies(implies(implies(v6,v7),implies(implies(v7,v8),implies(v6,v8))),implies(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14),v15)),v15))
| ~ is_a_theorem(implies(implies(implies(v16,implies(implies(implies(v17,v17),implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))))),v21)),v22),v22))
| spl0_1 ),
inference(resolution,[],[f77,f46]) ).
fof(f85,definition,
( spl0_3
<=> is_a_theorem(implies(implies(implies(v16,implies(implies(implies(v17,v17),implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))))),v21)),v22),v22)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f87,plain,
( ~ is_a_theorem(implies(implies(implies(v16,implies(implies(implies(v17,v17),implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))))),v21)),v22),v22))
| spl0_3 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f89,definition,
( spl0_4
<=> is_a_theorem(implies(implies(implies(implies(v6,v7),implies(implies(v7,v8),implies(v6,v8))),implies(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14),v15)),v15)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f91,plain,
( ~ is_a_theorem(implies(implies(implies(implies(v6,v7),implies(implies(v7,v8),implies(v6,v8))),implies(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14),v15)),v15))
| spl0_4 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f92,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f83,f75,f89,f85]) ).
fof(f106,plain,
( ~ is_a_theorem(implies(v16,implies(implies(implies(v17,v17),implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21))))),v21)))
| spl0_3 ),
inference(resolution,[],[f87,f19]) ).
fof(f145,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,implies(X1,X2)),X2))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f21,f1]) ).
fof(f831,plain,
( ~ is_a_theorem(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14))
| ~ is_a_theorem(implies(implies(v6,v7),implies(implies(v7,v8),implies(v6,v8))))
| spl0_4 ),
inference(resolution,[],[f91,f145]) ).
fof(f835,definition,
( spl0_6
<=> is_a_theorem(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14)) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f837,plain,
( ~ is_a_theorem(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14))
| spl0_6 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f844,plain,
( ~ is_a_theorem(implies(implies(implies(implies(v9,implies(v9,v10)),implies(v9,v10)),implies(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))),v14)),v14))
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f831,f16]) ).
fof(f845,plain,
( ~ spl0_6
| spl0_4 ),
inference(avatar_split_clause,[],[f844,f89,f835]) ).
fof(f891,plain,
( ~ is_a_theorem(implies(implies(v11,v12),implies(implies(v12,v13),implies(v11,v13))))
| ~ is_a_theorem(implies(implies(v9,implies(v9,v10)),implies(v9,v10)))
| spl0_6 ),
inference(resolution,[],[f837,f145]) ).
fof(f896,plain,
( ~ is_a_theorem(implies(implies(v9,implies(v9,v10)),implies(v9,v10)))
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f891,f16]) ).
fof(f897,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f896,f5]) ).
fof(f898,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f897]) ).
fof(f1030,plain,
( ~ is_a_theorem(implies(implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21)))),implies(v16,v21)))
| ~ is_a_theorem(implies(v17,v17))
| spl0_3 ),
inference(resolution,[],[f73,f106]) ).
fof(f1032,plain,
( ~ is_a_theorem(implies(implies(implies(v18,v18),implies(implies(v19,v19),implies(implies(v20,v20),implies(v16,v21)))),implies(v16,v21)))
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f1030,f4]) ).
fof(f1113,plain,
( ~ is_a_theorem(implies(implies(implies(v18,v18),implies(implies(v20,v20),implies(v16,v21))),implies(v16,v21)))
| ~ is_a_theorem(implies(v19,v19))
| spl0_3 ),
inference(resolution,[],[f1032,f59]) ).
fof(f1114,plain,
( ~ is_a_theorem(implies(implies(implies(v18,v18),implies(implies(v20,v20),implies(v16,v21))),implies(v16,v21)))
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f1113,f4]) ).
fof(f1139,plain,
( ~ is_a_theorem(implies(v20,v20))
| ~ is_a_theorem(implies(v18,v18))
| spl0_3 ),
inference(resolution,[],[f1114,f145]) ).
fof(f1144,plain,
( ~ is_a_theorem(implies(v18,v18))
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f1139,f4]) ).
fof(f1145,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f1144,f4]) ).
fof(f1146,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f1145]) ).
fof(f1147,plain,
( ~ is_a_theorem(implies(implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w)))),implies(x,w)))
| ~ is_a_theorem(implies(y,y))
| spl0_2 ),
inference(resolution,[],[f81,f73]) ).
fof(f1148,plain,
( ~ is_a_theorem(implies(implies(implies(z,z),implies(implies(u,u),implies(implies(v,v),implies(x,w)))),implies(x,w)))
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f1147,f4]) ).
fof(f1150,plain,
( ~ is_a_theorem(implies(implies(implies(z,z),implies(implies(v,v),implies(x,w))),implies(x,w)))
| ~ is_a_theorem(implies(u,u))
| spl0_2 ),
inference(resolution,[],[f1148,f59]) ).
fof(f1151,plain,
( ~ is_a_theorem(implies(implies(implies(z,z),implies(implies(v,v),implies(x,w))),implies(x,w)))
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f1150,f4]) ).
fof(f1194,plain,
( ~ is_a_theorem(implies(v,v))
| ~ is_a_theorem(implies(z,z))
| spl0_2 ),
inference(resolution,[],[f1151,f145]) ).
fof(f1199,plain,
( ~ is_a_theorem(implies(z,z))
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f1194,f4]) ).
fof(f1200,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f1199,f4]) ).
fof(f1201,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f1200]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f82]) ).
cnf(s2,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f92]) ).
cnf(s5,plain,
( spl0_4
| ~ spl0_6 ),
inference(sat_conversion,[],[f845]) ).
cnf(s6,plain,
spl0_6,
inference(sat_conversion,[],[f898]) ).
cnf(s14,plain,
spl0_3,
inference(sat_conversion,[],[f1146]) ).
cnf(s20,plain,
spl0_2,
inference(sat_conversion,[],[f1201]) ).
cnf(s21,plain,
spl0_4,
inference(rat,[],[s5,s6]) ).
cnf(s23,plain,
spl0_1,
inference(rat,[],[s2,s21,s14]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s1,s20,s23]) ).
fof(f1202,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL875-1 : TPTP v9.3.1. Bugfixed v5.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 % Computer : n010.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 17:03:32 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.44 Running first-order model finding
% 0.13/0.44 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.51 % (1168542)Will run a generic schedule for satisfiability detection.
% 0.17/0.51 % (1168547)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=774634000_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.51 % TRYING [1]
% 0.17/0.51 % TRYING [2]
% 0.17/0.51 % TRYING [3]
% 0.17/0.51 % (1168548)% WARNING: option uhcvi not known.
% 0.17/0.51 % (1168548)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3001813782:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.51 % (1168549)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2337053937:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.51 % (1168553)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3972284877:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.51 % (1168550)dis+10_1_sil=32000:sp=arity:random_seed=4075997892:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.51 % (1168551)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=36710239:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.51 % (1168552)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3725696585:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.51 % (1168550) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1168542-1168550"...
% 0.17/0.51 % (1168550)...printing done.
% 0.17/0.51 % (1168550)Refutation found. Thanks to Tanya!
% 0.17/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.52 % (1168550)------------------------------
% 0.17/0.52 % (1168550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.52 % (1168550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.52 % (1168550)CaDiCaL version: 2.1.3
% 0.17/0.52 % (1168550)Termination reason: Refutation
% 0.17/0.52 % (1168550)Time elapsed: 0.028 s
% 0.17/0.52 % (1168550)Peak memory usage: 12 MB
% 0.17/0.52 % (1168550)Instructions burned: 44 (million)
% 0.17/0.52 % (1168542)Success in time 0.07 s
% 0.17/0.52 % Vampire exiting
%------------------------------------------------------------------------------