TSTP Solution File: LCL429-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL429-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 : Tue Apr 30 13:42:00 EDT 2024
% Result : Unsatisfiable 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 10 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 7 ( 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 : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,plain,
$false,
inference(resolution,[],[f21,f8]) ).
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_Ovar(v_v,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(f21,plain,
! [X0,X1] : c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(c_PropLog_Opl_Ovar(X0,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
inference(subsumption_resolution,[],[f20,f13]) ).
fof(f13,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(resolution,[],[f9,f7]) ).
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(f9,plain,
! [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_in(X0,c_PropLog_Othms(c_insert(X4,c_minus(X1,c_insert(X4,X2,tc_PropLog_Opl(X3)),tc_set(tc_PropLog_Opl(X3))),tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(resolution,[],[f6,f3]) ).
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(f6,axiom,
! [X3,X0,X11,X12] :
( ~ c_lessequals(X12,X11,tc_set(tc_PropLog_Opl(X3)))
| ~ c_in(X0,c_PropLog_Othms(X12,X3),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(f20,plain,
! [X0,X1] :
( ~ c_in(v_p,c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(X0,t_a),c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(c_PropLog_Opl_Ovar(X0,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))
| c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(c_PropLog_Opl_Ovar(X0,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,[],[f19,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(f19,plain,
! [X0,X1] : c_in(v_p,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X0,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(c_PropLog_Opl_Ovar(X0,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(resolution,[],[f17,f10]) ).
fof(f10,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_PropLog_Othms(c_minus(c_insert(X1,c_minus(X2,c_insert(X3,c_emptyset,tc_PropLog_Opl(X4)),tc_set(tc_PropLog_Opl(X4))),tc_PropLog_Opl(X4)),X5,tc_set(tc_PropLog_Opl(X4))),X4),tc_PropLog_Opl(X4))
| c_in(X0,c_PropLog_Othms(c_insert(X1,c_minus(X2,c_insert(X3,X5,tc_PropLog_Opl(X4)),tc_set(tc_PropLog_Opl(X4))),tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)) ),
inference(resolution,[],[f4,f6]) ).
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) ).
fof(f17,plain,
! [X0,X1] : c_in(v_p,c_PropLog_Othms(c_minus(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X0,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,X1,t_a),c_insert(c_PropLog_Opl_Ovar(X0,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(resolution,[],[f15,f7]) ).
fof(f15,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(X1,c_minus(X2,c_insert(X3,c_emptyset,X4),tc_set(X4)),X4),X5,tc_set(tc_PropLog_Opl(X4))),X4),tc_PropLog_Opl(X4))
| c_in(X0,c_PropLog_Othms(c_minus(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X3,X4),c_PropLog_Opl_Ofalse,X4),c_minus(c_PropLog_Ohyps(X1,X2,X4),c_insert(c_PropLog_Opl_Ovar(X3,X4),c_emptyset,tc_PropLog_Opl(X4)),tc_set(tc_PropLog_Opl(X4))),tc_PropLog_Opl(X4)),X5,tc_set(tc_PropLog_Opl(X4))),X4),tc_PropLog_Opl(X4)) ),
inference(resolution,[],[f2,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1,X4] :
( ~ c_lessequals(X1,X4,tc_set(tc_PropLog_Opl(X3)))
| ~ c_in(X0,c_PropLog_Othms(c_minus(X1,X2,tc_set(tc_PropLog_Opl(X3))),X3),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(f2,axiom,
! [X3,X0,X6,X5] : c_lessequals(c_PropLog_Ohyps(X0,c_minus(X5,c_insert(X6,c_emptyset,X3),tc_set(X3)),X3),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X6,X3),c_PropLog_Opl_Ofalse,X3),c_minus(c_PropLog_Ohyps(X0,X5,X3),c_insert(c_PropLog_Opl_Ovar(X6,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__Diff_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : LCL429-2 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 22:58:32 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (8028)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (8032)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37 % (8034)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 % (8033)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 % (8031)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.13/0.37 % (8035)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 % (8030)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (8033)First to succeed.
% 0.13/0.37 % (8029)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 % (8034)Also succeeded, but the first one will report.
% 0.13/0.37 % (8033)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37 % (8033)------------------------------
% 0.13/0.37 % (8033)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.37 % (8033)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (8033)Memory used [KB]: 818
% 0.13/0.37 % (8033)Time elapsed: 0.004 s
% 0.13/0.37 % (8033)Instructions burned: 4 (million)
% 0.13/0.37 % (8033)------------------------------
% 0.13/0.37 % (8033)------------------------------
% 0.13/0.37 % (8028)Success in time 0.018 s
%------------------------------------------------------------------------------