TSTP Solution File: SWV261-2 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SWV261-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n002.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 May 21 05:51:00 EDT 2024
% Result : Unsatisfiable 127.43s 24.21s
% Output : Refutation 127.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 21
% Syntax : Number of formulae : 64 ( 17 unt; 11 typ; 0 def)
% Number of atoms : 120 ( 22 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 777 ( 53 ~; 47 |; 0 &; 677 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 114 ( 0 ^ 114 !; 0 ?; 114 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_in_type,type,
c_in: $i > $i > $i > $o ).
thf(v_X_type,type,
v_X: $i ).
thf(v_G_type,type,
v_G: $i ).
thf(tc_Message_Omsg_type,type,
tc_Message_Omsg: $i ).
thf(c_lessequals_type,type,
c_lessequals: $i > $i > $i > $o ).
thf(c_Message_Oparts_type,type,
c_Message_Oparts: $i > $i ).
thf(c_insert_type,type,
c_insert: $i > $i > $i > $i ).
thf(v_H_type,type,
v_H: $i ).
thf(c_union_type,type,
c_union: $i > $i > $i > $i ).
thf(tc_set_type,type,
tc_set: $i > $i ).
thf(c_Main_OsubsetI__1_type,type,
c_Main_OsubsetI__1: $i > $i > $i > $i ).
thf(8,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_in @ ( c_Main_OsubsetI__1 @ A @ B @ C ) @ A @ C )
| ( c_lessequals @ A @ B @ ( tc_set @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
thf(24,plain,
! [C: $i,B: $i,A: $i] :
( ( c_in @ ( c_Main_OsubsetI__1 @ A @ B @ C ) @ A @ C )
| ( c_lessequals @ A @ B @ ( tc_set @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(25,plain,
! [C: $i,B: $i,A: $i] :
( ( c_in @ ( c_Main_OsubsetI__1 @ A @ B @ C ) @ A @ C )
| ( c_lessequals @ A @ B @ ( tc_set @ C ) ) ),
inference(cnf,[status(esa)],[24]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ~ ( c_lessequals @ A @ B @ ( tc_set @ tc_Message_Omsg ) )
| ( c_lessequals @ ( c_Message_Oparts @ A ) @ ( c_Message_Oparts @ B ) @ ( tc_set @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__mono_0) ).
thf(15,plain,
! [B: $i,A: $i] :
( ~ ( c_lessequals @ A @ B @ ( tc_set @ tc_Message_Omsg ) )
| ( c_lessequals @ ( c_Message_Oparts @ A ) @ ( c_Message_Oparts @ B ) @ ( tc_set @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(16,plain,
! [B: $i,A: $i] :
( ~ ( c_lessequals @ A @ B @ ( tc_set @ tc_Message_Omsg ) )
| ( c_lessequals @ ( c_Message_Oparts @ A ) @ ( c_Message_Oparts @ B ) @ ( tc_set @ tc_Message_Omsg ) ) ),
inference(cnf,[status(esa)],[15]) ).
thf(2182,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_in @ ( c_Main_OsubsetI__1 @ A @ B @ C ) @ A @ C )
| ( c_lessequals @ ( c_Message_Oparts @ D ) @ ( c_Message_Oparts @ E ) @ ( tc_set @ tc_Message_Omsg ) )
| ( ( c_lessequals @ A @ B @ ( tc_set @ C ) )
!= ( c_lessequals @ D @ E @ ( tc_set @ tc_Message_Omsg ) ) ) ),
inference(paramod_ordered,[status(thm)],[25,16]) ).
thf(2183,plain,
! [B: $i,A: $i] :
( ( c_in @ ( c_Main_OsubsetI__1 @ A @ B @ tc_Message_Omsg ) @ A @ tc_Message_Omsg )
| ( c_lessequals @ ( c_Message_Oparts @ A ) @ ( c_Message_Oparts @ B ) @ ( tc_set @ tc_Message_Omsg ) ) ),
inference(pattern_uni,[status(thm)],[2182:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( tc_Message_Omsg )),bind(D,$thf( A )),bind(E,$thf( B ))]]) ).
thf(3,axiom,
! [B: $i,A: $i] : ( c_lessequals @ ( c_Message_Oparts @ ( c_union @ A @ B @ tc_Message_Omsg ) ) @ ( c_union @ ( c_Message_Oparts @ A ) @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) @ ( tc_set @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__Un__subset2_0) ).
thf(14,plain,
! [B: $i,A: $i] : ( c_lessequals @ ( c_Message_Oparts @ ( c_union @ A @ B @ tc_Message_Omsg ) ) @ ( c_union @ ( c_Message_Oparts @ A ) @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) @ ( tc_set @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(10,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_lessequals @ A @ B @ ( tc_set @ C ) )
| ~ ( c_lessequals @ D @ A @ ( tc_set @ C ) )
| ( c_lessequals @ D @ B @ ( tc_set @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).
thf(28,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_lessequals @ A @ B @ ( tc_set @ C ) )
| ~ ( c_lessequals @ D @ A @ ( tc_set @ C ) )
| ( c_lessequals @ D @ B @ ( tc_set @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(29,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_lessequals @ A @ B @ ( tc_set @ C ) )
| ~ ( c_lessequals @ D @ A @ ( tc_set @ C ) )
| ( c_lessequals @ D @ B @ ( tc_set @ C ) ) ),
inference(cnf,[status(esa)],[28]) ).
thf(2,negated_conjecture,
~ ( c_lessequals @ ( c_Message_Oparts @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) ) @ ( c_union @ ( c_Message_Oparts @ v_G ) @ ( c_Message_Oparts @ v_H ) @ tc_Message_Omsg ) @ ( tc_set @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(12,plain,
~ ( c_lessequals @ ( c_Message_Oparts @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) ) @ ( c_union @ ( c_Message_Oparts @ v_G ) @ ( c_Message_Oparts @ v_H ) @ tc_Message_Omsg ) @ ( tc_set @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(13,plain,
~ ( c_lessequals @ ( c_Message_Oparts @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) ) @ ( c_union @ ( c_Message_Oparts @ v_G ) @ ( c_Message_Oparts @ v_H ) @ tc_Message_Omsg ) @ ( tc_set @ tc_Message_Omsg ) ),
inference(polarity_switch,[status(thm)],[12]) ).
thf(3384,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_lessequals @ A @ B @ ( tc_set @ C ) )
| ~ ( c_lessequals @ D @ A @ ( tc_set @ C ) )
| ( ( c_lessequals @ D @ B @ ( tc_set @ C ) )
!= ( c_lessequals @ ( c_Message_Oparts @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) ) @ ( c_union @ ( c_Message_Oparts @ v_G ) @ ( c_Message_Oparts @ v_H ) @ tc_Message_Omsg ) @ ( tc_set @ tc_Message_Omsg ) ) ) ),
inference(paramod_ordered,[status(thm)],[29,13]) ).
thf(3385,plain,
! [A: $i] :
( ~ ( c_lessequals @ A @ ( c_union @ ( c_Message_Oparts @ v_G ) @ ( c_Message_Oparts @ v_H ) @ tc_Message_Omsg ) @ ( tc_set @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ ( c_Message_Oparts @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) ) @ A @ ( tc_set @ tc_Message_Omsg ) ) ),
inference(pattern_uni,[status(thm)],[3384:[bind(A,$thf( A )),bind(B,$thf( c_union @ ( c_Message_Oparts @ v_G ) @ ( c_Message_Oparts @ v_H ) @ tc_Message_Omsg )),bind(C,$thf( tc_Message_Omsg )),bind(D,$thf( c_Message_Oparts @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) ))]]) ).
thf(20560,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c_lessequals @ ( c_Message_Oparts @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) ) @ C @ ( tc_set @ tc_Message_Omsg ) )
| ( ( c_lessequals @ ( c_Message_Oparts @ ( c_union @ A @ B @ tc_Message_Omsg ) ) @ ( c_union @ ( c_Message_Oparts @ A ) @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) @ ( tc_set @ tc_Message_Omsg ) )
!= ( c_lessequals @ C @ ( c_union @ ( c_Message_Oparts @ v_G ) @ ( c_Message_Oparts @ v_H ) @ tc_Message_Omsg ) @ ( tc_set @ tc_Message_Omsg ) ) ) ),
inference(paramod_ordered,[status(thm)],[14,3385]) ).
thf(20561,plain,
~ ( c_lessequals @ ( c_Message_Oparts @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) ) @ ( tc_set @ tc_Message_Omsg ) ),
inference(pattern_uni,[status(thm)],[20560:[bind(A,$thf( v_G )),bind(B,$thf( v_H )),bind(C,$thf( c_Message_Oparts @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) ))]]) ).
thf(20828,plain,
! [B: $i,A: $i] :
( ( c_in @ ( c_Main_OsubsetI__1 @ A @ B @ tc_Message_Omsg ) @ A @ tc_Message_Omsg )
| ( ( c_lessequals @ ( c_Message_Oparts @ A ) @ ( c_Message_Oparts @ B ) @ ( tc_set @ tc_Message_Omsg ) )
!= ( c_lessequals @ ( c_Message_Oparts @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) ) @ ( tc_set @ tc_Message_Omsg ) ) ) ),
inference(paramod_ordered,[status(thm)],[2183,20561]) ).
thf(20829,plain,
c_in @ ( c_Main_OsubsetI__1 @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) @ tc_Message_Omsg ) @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) @ tc_Message_Omsg,
inference(pattern_uni,[status(thm)],[20828:[bind(A,$thf( c_insert @ v_X @ v_H @ tc_Message_Omsg )),bind(B,$thf( c_union @ v_G @ v_H @ tc_Message_Omsg ))]]) ).
thf(7,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ ( c_insert @ B @ C @ D ) @ D )
| ( c_in @ A @ C @ D )
| ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
thf(21,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ ( c_insert @ B @ C @ D ) @ D )
| ( c_in @ A @ C @ D )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(22,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ ( c_insert @ B @ C @ D ) @ D )
| ( c_in @ A @ C @ D )
| ( A = B ) ),
inference(cnf,[status(esa)],[21]) ).
thf(23,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ~ ( c_in @ A @ ( c_insert @ B @ C @ D ) @ D )
| ( c_in @ A @ C @ D ) ),
inference(lifteq,[status(thm)],[22]) ).
thf(20897,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ( c_in @ A @ C @ D )
| ( ( c_in @ ( c_Main_OsubsetI__1 @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) @ tc_Message_Omsg ) @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) @ tc_Message_Omsg )
!= ( c_in @ A @ ( c_insert @ B @ C @ D ) @ D ) ) ),
inference(paramod_ordered,[status(thm)],[20829,23]) ).
thf(20898,plain,
( ( ( c_Main_OsubsetI__1 @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) @ tc_Message_Omsg )
= v_X )
| ( c_in @ ( c_Main_OsubsetI__1 @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) @ tc_Message_Omsg ) @ v_H @ tc_Message_Omsg ) ),
inference(pattern_uni,[status(thm)],[20897:[bind(A,$thf( c_Main_OsubsetI__1 @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) @ tc_Message_Omsg )),bind(B,$thf( v_X )),bind(C,$thf( v_H )),bind(D,$thf( tc_Message_Omsg ))]]) ).
thf(5,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ B @ C )
| ( c_in @ A @ ( c_union @ D @ B @ C ) @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).
thf(17,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ B @ C )
| ( c_in @ A @ ( c_union @ D @ B @ C ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(18,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ B @ C )
| ( c_in @ A @ ( c_union @ D @ B @ C ) @ C ) ),
inference(cnf,[status(esa)],[17]) ).
thf(9,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( c_in @ ( c_Main_OsubsetI__1 @ A @ B @ C ) @ B @ C )
| ( c_lessequals @ A @ B @ ( tc_set @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
thf(26,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c_in @ ( c_Main_OsubsetI__1 @ A @ B @ C ) @ B @ C )
| ( c_lessequals @ A @ B @ ( tc_set @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(27,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c_in @ ( c_Main_OsubsetI__1 @ A @ B @ C ) @ B @ C )
| ( c_lessequals @ A @ B @ ( tc_set @ C ) ) ),
inference(cnf,[status(esa)],[26]) ).
thf(20776,plain,
! [B: $i,A: $i] :
( ~ ( c_lessequals @ A @ B @ ( tc_set @ tc_Message_Omsg ) )
| ( ( c_lessequals @ ( c_Message_Oparts @ A ) @ ( c_Message_Oparts @ B ) @ ( tc_set @ tc_Message_Omsg ) )
!= ( c_lessequals @ ( c_Message_Oparts @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) ) @ ( tc_set @ tc_Message_Omsg ) ) ) ),
inference(paramod_ordered,[status(thm)],[16,20561]) ).
thf(20777,plain,
~ ( c_lessequals @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) @ ( tc_set @ tc_Message_Omsg ) ),
inference(pattern_uni,[status(thm)],[20776:[bind(A,$thf( c_insert @ v_X @ v_H @ tc_Message_Omsg )),bind(B,$thf( c_union @ v_G @ v_H @ tc_Message_Omsg ))]]) ).
thf(21019,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c_in @ ( c_Main_OsubsetI__1 @ A @ B @ C ) @ B @ C )
| ( ( c_lessequals @ A @ B @ ( tc_set @ C ) )
!= ( c_lessequals @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) @ ( tc_set @ tc_Message_Omsg ) ) ) ),
inference(paramod_ordered,[status(thm)],[27,20777]) ).
thf(21020,plain,
~ ( c_in @ ( c_Main_OsubsetI__1 @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) @ tc_Message_Omsg ) @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) @ tc_Message_Omsg ),
inference(pattern_uni,[status(thm)],[21019:[bind(A,$thf( c_insert @ v_X @ v_H @ tc_Message_Omsg )),bind(B,$thf( c_union @ v_G @ v_H @ tc_Message_Omsg )),bind(C,$thf( tc_Message_Omsg ))]]) ).
thf(21195,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ B @ C )
| ( ( c_in @ A @ ( c_union @ D @ B @ C ) @ C )
!= ( c_in @ ( c_Main_OsubsetI__1 @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) @ tc_Message_Omsg ) @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) ),
inference(paramod_ordered,[status(thm)],[18,21020]) ).
thf(21196,plain,
~ ( c_in @ ( c_Main_OsubsetI__1 @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) @ tc_Message_Omsg ) @ v_H @ tc_Message_Omsg ),
inference(pattern_uni,[status(thm)],[21195:[bind(A,$thf( c_Main_OsubsetI__1 @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) @ tc_Message_Omsg )),bind(B,$thf( v_H )),bind(C,$thf( tc_Message_Omsg )),bind(D,$thf( v_G ))]]) ).
thf(23677,plain,
( ( ( c_Main_OsubsetI__1 @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) @ tc_Message_Omsg )
= v_X )
| $false ),
inference(rewrite,[status(thm)],[20898,21196]) ).
thf(23678,plain,
( ( c_Main_OsubsetI__1 @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) @ tc_Message_Omsg )
= v_X ),
inference(simp,[status(thm)],[23677]) ).
thf(1,negated_conjecture,
c_in @ v_X @ v_G @ tc_Message_Omsg,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(11,plain,
c_in @ v_X @ v_G @ tc_Message_Omsg,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(6,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ B @ C )
| ( c_in @ A @ ( c_union @ B @ D @ C ) @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).
thf(19,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ B @ C )
| ( c_in @ A @ ( c_union @ B @ D @ C ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(20,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ B @ C )
| ( c_in @ A @ ( c_union @ B @ D @ C ) @ C ) ),
inference(cnf,[status(esa)],[19]) ).
thf(21139,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ B @ C )
| ( ( c_in @ A @ ( c_union @ B @ D @ C ) @ C )
!= ( c_in @ ( c_Main_OsubsetI__1 @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) @ tc_Message_Omsg ) @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) ),
inference(paramod_ordered,[status(thm)],[20,21020]) ).
thf(21140,plain,
~ ( c_in @ ( c_Main_OsubsetI__1 @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) @ tc_Message_Omsg ) @ v_G @ tc_Message_Omsg ),
inference(pattern_uni,[status(thm)],[21139:[bind(A,$thf( c_Main_OsubsetI__1 @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) @ tc_Message_Omsg )),bind(B,$thf( v_G )),bind(C,$thf( tc_Message_Omsg )),bind(D,$thf( v_H ))]]) ).
thf(21600,plain,
( ( c_in @ ( c_Main_OsubsetI__1 @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) @ tc_Message_Omsg ) @ v_G @ tc_Message_Omsg )
!= ( c_in @ v_X @ v_G @ tc_Message_Omsg ) ),
inference(paramod_ordered,[status(thm)],[11,21140]) ).
thf(21729,plain,
( ( ( c_Main_OsubsetI__1 @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) @ tc_Message_Omsg )
!= v_X )
| ( v_G != v_G )
| ( tc_Message_Omsg != tc_Message_Omsg ) ),
inference(simp,[status(thm)],[21600]) ).
thf(21875,plain,
( ( c_Main_OsubsetI__1 @ ( c_insert @ v_X @ v_H @ tc_Message_Omsg ) @ ( c_union @ v_G @ v_H @ tc_Message_Omsg ) @ tc_Message_Omsg )
!= v_X ),
inference(simp,[status(thm)],[21729]) ).
thf(23679,plain,
$false,
inference(simplifyReflect,[status(thm)],[23678,21875]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV261-2 : TPTP v8.2.0. Released v3.2.0.
% 0.12/0.16 % Command : run_Leo-III %s %d
% 0.15/0.37 % Computer : n002.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sun May 19 07:14:09 EDT 2024
% 0.15/0.38 % CPUTime :
% 1.02/0.89 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.29/1.02 % [INFO] Parsing done (120ms).
% 1.29/1.02 % [INFO] Running in sequential loop mode.
% 1.79/1.25 % [INFO] nitpick registered as external prover.
% 1.79/1.25 % [INFO] Scanning for conjecture ...
% 1.79/1.31 % [INFO] Found a conjecture (or negated_conjecture) and 8 axioms. Running axiom selection ...
% 2.01/1.33 % [INFO] Axiom selection finished. Selected 8 axioms (removed 0 axioms).
% 2.01/1.35 % [INFO] Problem is propositional (TPTP CNF).
% 2.01/1.35 % [INFO] Type checking passed.
% 2.01/1.35 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 127.43/24.20 % [INFO] Killing All external provers ...
% 127.43/24.21 % Time passed: 23659ms (effective reasoning time: 23176ms)
% 127.43/24.21 % Axioms used in derivation (8): cls_Set_OsubsetI_1, cls_Set_OUnCI_1, cls_Set_OsubsetI_0, cls_Set_OinsertE_0, cls_Set_Osubset__trans_0, cls_Set_OUnCI_0, cls_Message_Oparts__mono_0, cls_Message_Oparts__Un__subset2_0
% 127.43/24.21 % No. of inferences in proof: 53
% 127.43/24.21 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 23659 ms resp. 23176 ms w/o parsing
% 127.43/24.25 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 127.43/24.25 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------