TSTP Solution File: LCL435-2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL435-2 : 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_uns --cores 0 -t %d %s
% Computer : n024.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 17:42:30 EDT 2022
% Result : Unsatisfiable 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 18 ( 14 unt; 0 def)
% Number of atoms : 22 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-3 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f36,plain,
$false,
inference(subsumption_resolution,[],[f35,f9]) ).
fof(f9,plain,
~ c_in(sF2,sF3,sF4),
inference(definition_folding,[],[f1,f8,f7,f6,f5,f4]) ).
fof(f4,plain,
c_PropLog_Opl_Oop_A_N_62(v_q,v_pa,t_a) = sF0,
introduced(function_definition,[]) ).
fof(f5,plain,
c_PropLog_Opl_Oop_A_N_62(v_pa,sF0,t_a) = sF1,
introduced(function_definition,[]) ).
fof(f6,plain,
c_PropLog_Opl_Oop_A_N_62(v_p,sF1,t_a) = sF2,
introduced(function_definition,[]) ).
fof(f7,plain,
c_PropLog_Othms(v_H,t_a) = sF3,
introduced(function_definition,[]) ).
fof(f8,plain,
tc_PropLog_Opl(t_a) = sF4,
introduced(function_definition,[]) ).
fof(f1,axiom,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Oop_A_N_62(v_q,v_pa,t_a),t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f35,plain,
c_in(sF2,sF3,sF4),
inference(superposition,[],[f31,f7]) ).
fof(f31,plain,
! [X2] : c_in(sF2,c_PropLog_Othms(X2,t_a),sF4),
inference(subsumption_resolution,[],[f30,f16]) ).
fof(f16,plain,
! [X0] : c_in(sF1,c_PropLog_Othms(X0,t_a),sF4),
inference(forward_demodulation,[],[f15,f5]) ).
fof(f15,plain,
! [X0] : c_in(c_PropLog_Opl_Oop_A_N_62(v_pa,sF0,t_a),c_PropLog_Othms(X0,t_a),sF4),
inference(forward_demodulation,[],[f10,f8]) ).
fof(f10,plain,
! [X0] : c_in(c_PropLog_Opl_Oop_A_N_62(v_pa,sF0,t_a),c_PropLog_Othms(X0,t_a),tc_PropLog_Opl(t_a)),
inference(superposition,[],[f2,f4]) ).
fof(f2,axiom,
! [X2,X3,X0,X1] : c_in(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Oop_A_N_62(X1,X0,X2),X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OK_0) ).
fof(f30,plain,
! [X2] :
( c_in(sF2,c_PropLog_Othms(X2,t_a),sF4)
| ~ c_in(sF1,c_PropLog_Othms(X2,t_a),sF4) ),
inference(forward_demodulation,[],[f29,f8]) ).
fof(f29,plain,
! [X2] :
( c_in(sF2,c_PropLog_Othms(X2,t_a),sF4)
| ~ c_in(sF1,c_PropLog_Othms(X2,t_a),tc_PropLog_Opl(t_a)) ),
inference(forward_demodulation,[],[f22,f8]) ).
fof(f22,plain,
! [X2] :
( c_in(sF2,c_PropLog_Othms(X2,t_a),tc_PropLog_Opl(t_a))
| ~ c_in(sF1,c_PropLog_Othms(X2,t_a),tc_PropLog_Opl(t_a)) ),
inference(superposition,[],[f3,f6]) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2))
| ~ c_in(X1,c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__right_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL435-2 : 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_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n024.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 02:03:19 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (18808)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.50 % (18808)First to succeed.
% 0.20/0.50 % (18812)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.50 % (18808)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (18808)------------------------------
% 0.20/0.50 % (18808)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (18808)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (18808)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (18808)Memory used [KB]: 5756
% 0.20/0.50 % (18808)Time elapsed: 0.094 s
% 0.20/0.50 % (18808)Instructions burned: 2 (million)
% 0.20/0.50 % (18808)------------------------------
% 0.20/0.50 % (18808)------------------------------
% 0.20/0.50 % (18804)Success in time 0.149 s
%------------------------------------------------------------------------------