TSTP Solution File: LCL442-2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL442-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:48:20 EDT 2022
% Result : Unsatisfiable 0.15s 0.47s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 22
% Syntax : Number of formulae : 48 ( 1 unt; 0 def)
% Number of atoms : 101 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 93 ( 40 ~; 43 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 11 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f111,plain,
$false,
inference(avatar_sat_refutation,[],[f21,f30,f35,f40,f45,f46,f51,f60,f66,f80,f99,f110]) ).
fof(f110,plain,
( ~ spl0_8
| spl0_10 ),
inference(avatar_split_clause,[],[f106,f77,f48]) ).
fof(f48,plain,
( spl0_8
<=> c_in(c_PropLog_Opl_Oop_A_N_62(v_pl2,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f77,plain,
( spl0_10
<=> c_in(c_PropLog_Opl_Oop_A_N_62(v_pl2,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f106,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pl2,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))
| spl0_10 ),
inference(resolution,[],[f79,f11]) ).
fof(f11,axiom,
! [X0,X1,X6,X4] :
( c_in(X0,c_PropLog_Othms(c_union(X6,X4,tc_PropLog_Opl(X1)),X1),tc_PropLog_Opl(X1))
| ~ c_in(X0,c_PropLog_Othms(X4,X1),tc_PropLog_Opl(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__Un2_0) ).
fof(f79,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pl2,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| spl0_10 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f99,plain,
( ~ spl0_7
| spl0_9 ),
inference(avatar_split_clause,[],[f98,f73,f42]) ).
fof(f42,plain,
( spl0_7
<=> c_in(v_pl1,c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f73,plain,
( spl0_9
<=> c_in(v_pl1,c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f98,plain,
( ~ c_in(v_pl1,c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))
| spl0_9 ),
inference(resolution,[],[f75,f10]) ).
fof(f10,axiom,
! [X0,X1,X4,X5] :
( c_in(X0,c_PropLog_Othms(c_union(X4,X5,tc_PropLog_Opl(X1)),X1),tc_PropLog_Opl(X1))
| ~ c_in(X0,c_PropLog_Othms(X4,X1),tc_PropLog_Opl(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__Un1_0) ).
fof(f75,plain,
( ~ c_in(v_pl1,c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| spl0_9 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f80,plain,
( ~ spl0_9
| ~ spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f70,f37,f77,f73]) ).
fof(f37,plain,
( spl0_6
<=> c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f70,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pl2,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(v_pl1,c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| spl0_6 ),
inference(resolution,[],[f39,f9]) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,X3,X1),c_PropLog_Opl_Ofalse,X1),c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1))
| ~ c_in(X0,c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X3,c_PropLog_Opl_Ofalse,X1),c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oimp__false_0) ).
fof(f39,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| spl0_6 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f66,plain,
( spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f64]) ).
fof(f64,plain,
( $false
| spl0_1
| ~ spl0_3 ),
inference(resolution,[],[f55,f53]) ).
fof(f53,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))
| spl0_1 ),
inference(resolution,[],[f16,f10]) ).
fof(f16,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| spl0_1 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f14,plain,
( spl0_1
<=> c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f55,plain,
( ! [X0] : c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,X0,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))
| ~ spl0_3 ),
inference(resolution,[],[f8,f25]) ).
fof(f25,plain,
( c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f23,plain,
( spl0_3
<=> c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,X1),c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1))
| c_in(c_PropLog_Opl_Oop_A_N_62(X0,X3,X1),c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Ofalse__imp_0) ).
fof(f60,plain,
( ~ spl0_5
| spl0_1 ),
inference(avatar_split_clause,[],[f59,f14,f32]) ).
fof(f32,plain,
( spl0_5
<=> c_in(v_pl2,c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f59,plain,
( ~ c_in(v_pl2,c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))
| spl0_1 ),
inference(resolution,[],[f52,f12]) ).
fof(f12,axiom,
! [X2,X3,X0,X1] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X0,X3,X1),c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1))
| ~ c_in(X3,c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__right_0) ).
fof(f52,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))
| spl0_1 ),
inference(resolution,[],[f16,f11]) ).
fof(f51,plain,
( spl0_2
| spl0_8 ),
inference(avatar_split_clause,[],[f4,f48,f18]) ).
fof(f18,plain,
( spl0_2
<=> c_PropLog_Oeval(v_tt,v_pl2,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f4,axiom,
( c_in(c_PropLog_Opl_Oop_A_N_62(v_pl2,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))
| c_PropLog_Oeval(v_tt,v_pl2,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f46,plain,
( spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f5,f14,f27]) ).
fof(f27,plain,
( spl0_4
<=> c_PropLog_Oeval(v_tt,v_pl1,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f5,axiom,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| c_PropLog_Oeval(v_tt,v_pl1,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f45,plain,
( ~ spl0_4
| spl0_7 ),
inference(avatar_split_clause,[],[f1,f42,f27]) ).
fof(f1,axiom,
( c_in(v_pl1,c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))
| ~ c_PropLog_Oeval(v_tt,v_pl1,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f40,plain,
( ~ spl0_4
| spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f7,f37,f18,f27]) ).
fof(f7,axiom,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| c_PropLog_Oeval(v_tt,v_pl2,t_a)
| ~ c_PropLog_Oeval(v_tt,v_pl1,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f35,plain,
( ~ spl0_2
| spl0_5 ),
inference(avatar_split_clause,[],[f3,f32,f18]) ).
fof(f3,axiom,
( c_in(v_pl2,c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))
| ~ c_PropLog_Oeval(v_tt,v_pl2,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f30,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f2,f27,f23]) ).
fof(f2,axiom,
( c_PropLog_Oeval(v_tt,v_pl1,t_a)
| c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f21,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f6,f18,f14]) ).
fof(f6,axiom,
( ~ c_PropLog_Oeval(v_tt,v_pl2,t_a)
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : LCL442-2 : TPTP v8.1.0. Released v3.2.0.
% 0.02/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.30 % Computer : n002.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Aug 30 02:13:58 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.15/0.45 % (4179)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.46 % (4195)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.15/0.46 % (4175)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.46 % (4183)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.15/0.47 % (4187)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.15/0.47 % (4176)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.47 % (4184)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.15/0.47 % (4179)First to succeed.
% 0.15/0.47 % (4191)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.15/0.47 % (4179)Refutation found. Thanks to Tanya!
% 0.15/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.47 % (4179)------------------------------
% 0.15/0.47 % (4179)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47 % (4179)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47 % (4179)Termination reason: Refutation
% 0.15/0.47
% 0.15/0.47 % (4179)Memory used [KB]: 5500
% 0.15/0.47 % (4179)Time elapsed: 0.106 s
% 0.15/0.47 % (4179)Instructions burned: 3 (million)
% 0.15/0.47 % (4179)------------------------------
% 0.15/0.47 % (4179)------------------------------
% 0.15/0.47 % (4168)Success in time 0.163 s
%------------------------------------------------------------------------------