TSTP Solution File: LCL430-2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL430-2 : 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 : n023.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 17:42:29 EDT 2022
% Result : Unsatisfiable 0.18s 0.53s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 13 ( 10 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,plain,
$false,
inference(subsumption_resolution,[],[f17,f9]) ).
fof(f9,plain,
! [X0,X1] : c_in(v_p,c_PropLog_Othms(c_minus(c_insert(c_PropLog_Opl_Ovar(X0,t_a),c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X0,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
inference(unit_resulting_resolution,[],[f2,f7,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1,X4] :
( ~ c_in(X0,c_PropLog_Othms(c_minus(X1,X2,tc_set(tc_PropLog_Opl(X3))),X3),tc_PropLog_Opl(X3))
| ~ c_lessequals(X1,X4,tc_set(tc_PropLog_Opl(X3)))
| c_in(X0,c_PropLog_Othms(c_minus(X4,X2,tc_set(tc_PropLog_Opl(X3))),X3),tc_PropLog_Opl(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_ODiff__weaken__left_0) ).
fof(f7,axiom,
! [X13] : c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X13,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f2,axiom,
! [X3,X0,X6,X5] : c_lessequals(c_PropLog_Ohyps(X0,c_insert(X5,X6,X3),X3),c_insert(c_PropLog_Opl_Ovar(X5,X3),c_minus(c_PropLog_Ohyps(X0,X6,X3),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X5,X3),c_PropLog_Opl_Ofalse,X3),c_emptyset,tc_PropLog_Opl(X3)),tc_set(tc_PropLog_Opl(X3))),tc_PropLog_Opl(X3)),tc_set(tc_PropLog_Opl(X3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Ohyps__insert_0) ).
fof(f17,plain,
~ c_in(v_p,c_PropLog_Othms(c_minus(c_insert(c_PropLog_Opl_Ovar(v_v,t_a),c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_v,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
inference(unit_resulting_resolution,[],[f4,f14,f6]) ).
fof(f6,axiom,
! [X3,X0,X11,X12] :
( ~ c_in(X0,c_PropLog_Othms(X12,X3),tc_PropLog_Opl(X3))
| ~ c_lessequals(X12,X11,tc_set(tc_PropLog_Opl(X3)))
| c_in(X0,c_PropLog_Othms(X11,X3),tc_PropLog_Opl(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left_0) ).
fof(f14,plain,
~ c_in(v_p,c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(v_v,t_a),c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_v,t_a),c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(unit_resulting_resolution,[],[f10,f8,f5]) ).
fof(f5,axiom,
! [X3,X10,X0,X11] :
( ~ c_in(X10,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,X3),X11,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| ~ c_in(X10,c_PropLog_Othms(c_insert(X0,X11,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(X10,c_PropLog_Othms(X11,X3),tc_PropLog_Opl(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms__excluded__middle__rule_0) ).
fof(f8,axiom,
~ c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_v,t_a),c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f10,plain,
! [X0,X1] : c_in(v_p,c_PropLog_Othms(c_insert(X0,c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(X0,v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(unit_resulting_resolution,[],[f3,f7,f6]) ).
fof(f3,axiom,
! [X2,X3,X7,X4] : c_lessequals(c_minus(X2,X4,tc_set(X3)),c_insert(X7,c_minus(X2,c_insert(X7,X4,X3),tc_set(X3)),X3),tc_set(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oinsert__Diff__same_0) ).
fof(f4,axiom,
! [X2,X3,X8,X9,X7] : c_lessequals(c_minus(c_insert(X7,c_minus(X2,c_insert(X8,c_emptyset,X3),tc_set(X3)),X3),X9,tc_set(X3)),c_insert(X7,c_minus(X2,c_insert(X8,X9,X3),tc_set(X3)),X3),tc_set(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oinsert__Diff__subset2_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL430-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 02:21:35 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.51 % (6149)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.18/0.52 % (6149)First to succeed.
% 0.18/0.53 % (6159)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.18/0.53 % (6149)Refutation found. Thanks to Tanya!
% 0.18/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.54 % (6149)------------------------------
% 0.18/0.54 % (6149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (6149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (6149)Termination reason: Refutation
% 0.18/0.54
% 0.18/0.54 % (6149)Memory used [KB]: 5884
% 0.18/0.54 % (6149)Time elapsed: 0.124 s
% 0.18/0.54 % (6149)Instructions burned: 2 (million)
% 0.18/0.54 % (6149)------------------------------
% 0.18/0.54 % (6149)------------------------------
% 0.18/0.54 % (6146)Success in time 0.196 s
%------------------------------------------------------------------------------