TSTP Solution File: LCL434-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL434-2 : 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 : n025.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 17:48:18 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 36 ( 14 unt; 0 def)
% Number of atoms : 60 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 22 ~; 22 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-3 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f89,plain,
$false,
inference(avatar_sat_refutation,[],[f41,f50,f88]) ).
fof(f88,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f87]) ).
fof(f87,plain,
( $false
| ~ spl4_1 ),
inference(subsumption_resolution,[],[f86,f10]) ).
fof(f10,plain,
~ c_in(sF0,sF1,sF2),
inference(definition_folding,[],[f2,f9,f8,f7]) ).
fof(f7,plain,
c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a) = sF0,
introduced(function_definition,[]) ).
fof(f8,plain,
c_PropLog_Othms(v_H,t_a) = sF1,
introduced(function_definition,[]) ).
fof(f9,plain,
tc_PropLog_Opl(t_a) = sF2,
introduced(function_definition,[]) ).
fof(f2,axiom,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f86,plain,
( c_in(sF0,sF1,sF2)
| ~ spl4_1 ),
inference(superposition,[],[f81,f7]) ).
fof(f81,plain,
( ! [X0] : c_in(c_PropLog_Opl_Oop_A_N_62(X0,v_pa,t_a),sF1,sF2)
| ~ spl4_1 ),
inference(resolution,[],[f31,f53]) ).
fof(f53,plain,
( c_in(v_pa,sF1,sF2)
| ~ spl4_1 ),
inference(forward_demodulation,[],[f52,f8]) ).
fof(f52,plain,
( c_in(v_pa,c_PropLog_Othms(v_H,t_a),sF2)
| ~ spl4_1 ),
inference(resolution,[],[f36,f18]) ).
fof(f18,plain,
! [X0,X1] :
( ~ c_in(X0,X1,sF2)
| c_in(X0,c_PropLog_Othms(X1,t_a),sF2) ),
inference(superposition,[],[f3,f9]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,X1,tc_PropLog_Opl(X2))
| c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OH_0) ).
fof(f36,plain,
( c_in(v_pa,v_H,sF2)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f34,plain,
( spl4_1
<=> c_in(v_pa,v_H,sF2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f31,plain,
! [X0,X1] :
( ~ c_in(X0,sF1,sF2)
| c_in(c_PropLog_Opl_Oop_A_N_62(X1,X0,t_a),sF1,sF2) ),
inference(forward_demodulation,[],[f30,f9]) ).
fof(f30,plain,
! [X0,X1] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X0,t_a),sF1,sF2)
| ~ c_in(X0,sF1,tc_PropLog_Opl(t_a)) ),
inference(forward_demodulation,[],[f28,f9]) ).
fof(f28,plain,
! [X0,X1] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X0,t_a),sF1,tc_PropLog_Opl(t_a))
| ~ c_in(X0,sF1,tc_PropLog_Opl(t_a)) ),
inference(superposition,[],[f5,f8]) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X3,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
| c_in(c_PropLog_Opl_Oop_A_N_62(X0,X3,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oweaken__right_0) ).
fof(f50,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f49]) ).
fof(f49,plain,
( $false
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f47,f10]) ).
fof(f47,plain,
( c_in(sF0,sF1,sF2)
| ~ spl4_2 ),
inference(superposition,[],[f15,f44]) ).
fof(f44,plain,
( sF0 = c_PropLog_Opl_Oop_A_N_62(v_pa,v_pa,t_a)
| ~ spl4_2 ),
inference(backward_demodulation,[],[f7,f40]) ).
fof(f40,plain,
( v_pa = v_p
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f38,plain,
( spl4_2
<=> v_pa = v_p ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f15,plain,
! [X0] : c_in(c_PropLog_Opl_Oop_A_N_62(X0,X0,t_a),sF1,sF2),
inference(forward_demodulation,[],[f13,f9]) ).
fof(f13,plain,
! [X0] : c_in(c_PropLog_Opl_Oop_A_N_62(X0,X0,t_a),sF1,tc_PropLog_Opl(t_a)),
inference(superposition,[],[f4,f8]) ).
fof(f4,axiom,
! [X2,X0,X1] : c_in(c_PropLog_Opl_Oop_A_N_62(X0,X0,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms__I_0) ).
fof(f41,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f32,f38,f34]) ).
fof(f32,plain,
( v_pa = v_p
| c_in(v_pa,v_H,sF2) ),
inference(resolution,[],[f26,f12]) ).
fof(f12,plain,
c_in(v_pa,sF3,sF2),
inference(definition_folding,[],[f1,f9,f11,f9]) ).
fof(f11,plain,
c_insert(v_p,v_H,sF2) = sF3,
introduced(function_definition,[]) ).
fof(f1,axiom,
c_in(v_pa,c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f26,plain,
! [X0] :
( ~ c_in(X0,sF3,sF2)
| v_p = X0
| c_in(X0,v_H,sF2) ),
inference(superposition,[],[f6,f11]) ).
fof(f6,axiom,
! [X2,X6,X4,X5] :
( ~ c_in(X4,c_insert(X5,X6,X2),X2)
| X4 = X5
| c_in(X4,X6,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL434-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 02:09:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (15910)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (15926)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (15910)First to succeed.
% 0.19/0.51 % (15909)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (15919)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 % (15910)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (15910)------------------------------
% 0.19/0.51 % (15910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (15910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (15910)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (15910)Memory used [KB]: 5500
% 0.19/0.51 % (15910)Time elapsed: 0.109 s
% 0.19/0.51 % (15910)Instructions burned: 5 (million)
% 0.19/0.51 % (15910)------------------------------
% 0.19/0.51 % (15910)------------------------------
% 0.19/0.51 % (15903)Success in time 0.164 s
%------------------------------------------------------------------------------