TSTP Solution File: LCL433-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL433-2 : 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 : 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 17:48:18 EDT 2022
% Result : Unsatisfiable 0.17s 0.49s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 36 ( 13 unt; 0 def)
% Number of atoms : 65 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 60 ( 31 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-3 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f135,plain,
$false,
inference(subsumption_resolution,[],[f134,f12]) ).
fof(f12,plain,
~ c_in(v_xa,sF2,sF0),
inference(definition_folding,[],[f2,f9,f11,f10,f9]) ).
fof(f10,plain,
sF1 = c_insert(v_x,v_F,sF0),
introduced(function_definition,[]) ).
fof(f11,plain,
c_PropLog_Othms(sF1,t_a) = sF2,
introduced(function_definition,[]) ).
fof(f9,plain,
tc_PropLog_Opl(t_a) = sF0,
introduced(function_definition,[]) ).
fof(f2,axiom,
~ c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f134,plain,
c_in(v_xa,sF2,sF0),
inference(resolution,[],[f120,f15]) ).
fof(f15,plain,
c_PropLog_Osat(sF1,v_xa,t_a),
inference(definition_folding,[],[f1,f10,f9]) ).
fof(f1,axiom,
c_PropLog_Osat(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f120,plain,
! [X0] :
( ~ c_PropLog_Osat(sF1,X0,t_a)
| c_in(X0,sF2,sF0) ),
inference(subsumption_resolution,[],[f118,f24]) ).
fof(f24,plain,
c_in(v_x,sF2,sF0),
inference(resolution,[],[f21,f16]) ).
fof(f16,plain,
c_in(v_x,sF1,sF0),
inference(superposition,[],[f8,f10]) ).
fof(f8,axiom,
! [X3,X8,X7] : c_in(X7,c_insert(X7,X8,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
fof(f21,plain,
! [X0] :
( ~ c_in(X0,sF1,sF0)
| c_in(X0,sF2,sF0) ),
inference(forward_demodulation,[],[f20,f9]) ).
fof(f20,plain,
! [X0] :
( c_in(X0,sF2,sF0)
| ~ c_in(X0,sF1,tc_PropLog_Opl(t_a)) ),
inference(forward_demodulation,[],[f17,f9]) ).
fof(f17,plain,
! [X0] :
( c_in(X0,sF2,tc_PropLog_Opl(t_a))
| ~ c_in(X0,sF1,tc_PropLog_Opl(t_a)) ),
inference(superposition,[],[f5,f11]) ).
fof(f5,axiom,
! [X2,X3,X1] :
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OH_0) ).
fof(f118,plain,
! [X0] :
( ~ c_PropLog_Osat(sF1,X0,t_a)
| ~ c_in(v_x,sF2,sF0)
| c_in(X0,sF2,sF0) ),
inference(resolution,[],[f61,f34]) ).
fof(f34,plain,
! [X0,X1] :
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,t_a),sF2,sF0)
| ~ c_in(X0,sF2,sF0)
| c_in(X1,sF2,sF0) ),
inference(forward_demodulation,[],[f33,f9]) ).
fof(f33,plain,
! [X0,X1] :
( ~ c_in(X0,sF2,sF0)
| c_in(X1,sF2,sF0)
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,t_a),sF2,tc_PropLog_Opl(t_a)) ),
inference(forward_demodulation,[],[f32,f9]) ).
fof(f32,plain,
! [X0,X1] :
( c_in(X1,sF2,tc_PropLog_Opl(t_a))
| ~ c_in(X0,sF2,sF0)
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,t_a),sF2,tc_PropLog_Opl(t_a)) ),
inference(forward_demodulation,[],[f29,f9]) ).
fof(f29,plain,
! [X0,X1] :
( ~ c_in(X0,sF2,tc_PropLog_Opl(t_a))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,t_a),sF2,tc_PropLog_Opl(t_a))
| c_in(X1,sF2,tc_PropLog_Opl(t_a)) ),
inference(superposition,[],[f6,f11]) ).
fof(f6,axiom,
! [X2,X3,X1,X4] :
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X4,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).
fof(f61,plain,
! [X2] :
( c_in(c_PropLog_Opl_Oop_A_N_62(v_x,X2,t_a),sF2,sF0)
| ~ c_PropLog_Osat(sF1,X2,t_a) ),
inference(resolution,[],[f44,f43]) ).
fof(f43,plain,
! [X0] :
( ~ c_in(X0,sF3,sF0)
| c_in(X0,sF2,sF0) ),
inference(forward_demodulation,[],[f42,f11]) ).
fof(f42,plain,
! [X0] :
( ~ c_in(X0,sF3,sF0)
| c_in(X0,c_PropLog_Othms(sF1,t_a),sF0) ),
inference(forward_demodulation,[],[f41,f13]) ).
fof(f13,plain,
c_PropLog_Othms(v_F,t_a) = sF3,
introduced(function_definition,[]) ).
fof(f41,plain,
! [X0] :
( ~ c_in(X0,c_PropLog_Othms(v_F,t_a),sF0)
| c_in(X0,c_PropLog_Othms(sF1,t_a),sF0) ),
inference(superposition,[],[f26,f10]) ).
fof(f26,plain,
! [X2,X0,X1] :
( c_in(X0,c_PropLog_Othms(c_insert(X1,X2,sF0),t_a),sF0)
| ~ c_in(X0,c_PropLog_Othms(X2,t_a),sF0) ),
inference(superposition,[],[f7,f9]) ).
fof(f7,axiom,
! [X3,X1,X6,X5] :
( c_in(X1,c_PropLog_Othms(c_insert(X6,X5,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,c_PropLog_Othms(X5,X3),tc_PropLog_Opl(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__insert_0) ).
fof(f44,plain,
! [X0] :
( c_in(c_PropLog_Opl_Oop_A_N_62(v_x,X0,t_a),sF3,sF0)
| ~ c_PropLog_Osat(sF1,X0,t_a) ),
inference(resolution,[],[f40,f14]) ).
fof(f14,plain,
! [X0] :
( ~ c_PropLog_Osat(v_F,X0,t_a)
| c_in(X0,sF3,sF0) ),
inference(definition_folding,[],[f3,f9,f13]) ).
fof(f3,axiom,
! [X0] :
( ~ c_PropLog_Osat(v_F,X0,t_a)
| c_in(X0,c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f40,plain,
! [X0] :
( c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(v_x,X0,t_a),t_a)
| ~ c_PropLog_Osat(sF1,X0,t_a) ),
inference(superposition,[],[f25,f10]) ).
fof(f25,plain,
! [X2,X0,X1] :
( ~ c_PropLog_Osat(c_insert(X0,X1,sF0),X2,t_a)
| c_PropLog_Osat(X1,c_PropLog_Opl_Oop_A_N_62(X0,X2,t_a),t_a) ),
inference(superposition,[],[f4,f9]) ).
fof(f4,axiom,
! [X2,X3,X1,X4] :
( ~ c_PropLog_Osat(c_insert(X1,X2,tc_PropLog_Opl(X3)),X4,X3)
| c_PropLog_Osat(X2,c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Osat__imp_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL433-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.32 % Computer : n024.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Aug 30 02:02:49 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.17/0.47 % (17044)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 (3000ds/68Mi)
% 0.17/0.47 % (17040)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.17/0.47 % (17036)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.17/0.47 % (17038)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.17/0.48 % (17048)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.17/0.48 % (17052)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 (3000ds/498Mi)
% 0.17/0.48 % (17054)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.17/0.48 % (17046)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.17/0.48 % (17048)First to succeed.
% 0.17/0.49 % (17048)Refutation found. Thanks to Tanya!
% 0.17/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.49 % (17048)------------------------------
% 0.17/0.49 % (17048)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49 % (17048)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49 % (17048)Termination reason: Refutation
% 0.17/0.49
% 0.17/0.49 % (17048)Memory used [KB]: 5500
% 0.17/0.49 % (17048)Time elapsed: 0.109 s
% 0.17/0.49 % (17048)Instructions burned: 9 (million)
% 0.17/0.49 % (17048)------------------------------
% 0.17/0.49 % (17048)------------------------------
% 0.17/0.49 % (17028)Success in time 0.167 s
%------------------------------------------------------------------------------