%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR131^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:46:56 AM UTC 2026
% Result : Theorem 58.45s 13.01s
% Output : Refutation 59.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 5
% Syntax : Number of formulae : 68 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 234 ( 33 equ; 0 cnn)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 770 ( 136 ~; 30 |; 55 &; 549 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 64 ( 64 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 159 ( 0 ^; 150 !; 9 ?; 159 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(holdsDuring_THFTYPE_IiooI_decl,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(lAnna_THFTYPE_i_decl,type,
lAnna_THFTYPE_i: $i ).
thf(lBen_THFTYPE_i_decl,type,
lBen_THFTYPE_i: $i ).
thf(lBill_THFTYPE_i_decl,type,
lBill_THFTYPE_i: $i ).
thf(lBob_THFTYPE_i_decl,type,
lBob_THFTYPE_i: $i ).
thf(lMary_THFTYPE_i_decl,type,
lMary_THFTYPE_i: $i ).
thf(lSue_THFTYPE_i_decl,type,
lSue_THFTYPE_i: $i ).
thf(lYearFn_THFTYPE_IiiI_decl,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(likes_THFTYPE_IiioI_decl,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(n2009_THFTYPE_i_decl,type,
n2009_THFTYPE_i: $i ).
thf(parent_THFTYPE_IiioI_decl,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(12,axiom,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_009) ).
thf(24,plain,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(7,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_004) ).
thf(19,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(1,conjecture,
? [A: $i > $i > $o,B: $i > $i > $o,C: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( B @ C @ lBill_THFTYPE_i )
& ( A @ C @ lAnna_THFTYPE_i )
& ~ ! [D: $i,E: $i] : ( B @ D @ E )
& ~ ! [D: $i,E: $i] : ( A @ D @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ? [A: $i > $i > $o,B: $i > $i > $o,C: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( B @ C @ lBill_THFTYPE_i )
& ( A @ C @ lAnna_THFTYPE_i )
& ~ ! [D: $i,E: $i] : ( B @ D @ E )
& ~ ! [D: $i,E: $i] : ( A @ D @ E ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(13,plain,
~ ? [A: $i > $i > $o,B: $i > $i > $o,C: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( B @ C @ lBill_THFTYPE_i )
& ( A @ C @ lAnna_THFTYPE_i )
& ~ ! [D: $i,E: $i] : ( B @ D @ E )
& ~ ! [D: $i,E: $i] : ( A @ D @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(14,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( B @ C @ lBill_THFTYPE_i )
& ( A @ C @ lAnna_THFTYPE_i )
& ~ ! [D: $i,E: $i] : ( B @ D @ E )
& ~ ! [D: $i,E: $i] : ( A @ D @ E ) ) ),
inference(cnf,[status(esa)],[13]) ).
thf(37,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( A @ C @ lAnna_THFTYPE_i )
& ~ ! [D: $i,E: $i] : ( B @ D @ E )
& ~ ! [D: $i,E: $i] : ( A @ D @ E ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( B @ C @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[19,14]) ).
thf(38,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ C @ lAnna_THFTYPE_i )
& ~ ! [D: $i,E: $i] : ( B @ D @ E )
& ~ ! [D: $i,E: $i] : ( A @ D @ E ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( B @ C @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[37]) ).
thf(65,plain,
! [B: $i,A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ B @ lAnna_THFTYPE_i )
& ~ ! [C: $i,D: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
& ~ ! [C: $i,D: $i] : ( A @ C @ D ) ) ),
inference(pre_uni,[status(thm)],[38:[bind(A,$thf( A )),bind(B,$thf( ^ [D: $i] : ^ [E: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ) )),bind(C,$thf( C ))]]) ).
thf(85,plain,
! [B: $i,A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ B @ lAnna_THFTYPE_i )
& ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) )
& ~ ! [C: $i,D: $i] : ( A @ C @ D ) ) ),
inference(simp,[status(thm)],[65]) ).
thf(1106,plain,
! [B: $i,A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ B @ lAnna_THFTYPE_i )
& ~ $true
& ~ ! [C: $i,D: $i] : ( A @ C @ D ) ) ),
inference(rewrite,[status(thm)],[85,19]) ).
thf(1107,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ),
inference(simp,[status(thm)],[1106]) ).
thf(1120,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(paramod_ordered,[status(thm)],[24,1107]) ).
thf(1121,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ),
inference(simp,[status(thm)],[1120]) ).
thf(1142,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ),
inference(simp,[status(thm)],[1121]) ).
thf(1156,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ),
inference(cnf,[status(esa)],[1142]) ).
thf(1157,plain,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
inference(simp,[status(thm)],[1156]) ).
thf(4,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001) ).
thf(16,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(1114,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(paramod_ordered,[status(thm)],[16,1107]) ).
thf(1115,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ),
inference(simp,[status(thm)],[1114]) ).
thf(1133,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ),
inference(simp,[status(thm)],[1115]) ).
thf(1145,plain,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i,
inference(simp,[status(thm)],[1133]) ).
thf(1160,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true,
inference(rewrite,[status(thm)],[16,1145]) ).
thf(31,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( A @ C @ lAnna_THFTYPE_i )
& ~ ! [D: $i,E: $i] : ( B @ D @ E )
& ~ ! [D: $i,E: $i] : ( A @ D @ E ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
!= ( B @ C @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[16,14]) ).
thf(32,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ C @ lAnna_THFTYPE_i )
& ~ ! [D: $i,E: $i] : ( B @ D @ E )
& ~ ! [D: $i,E: $i] : ( A @ D @ E ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
!= ( B @ C @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[31]) ).
thf(67,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i )
& ~ ! [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
& ~ ! [B: $i,C: $i] : ( A @ B @ C ) ) ),
inference(pre_uni,[status(thm)],[32:[bind(A,$thf( A )),bind(B,$thf( ^ [D: $i] : ^ [E: $i] : ( holdsDuring_THFTYPE_IiooI @ D @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) )),bind(C,$thf( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ))]]) ).
thf(87,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i )
& ~ ! [B: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) )
& ~ ! [B: $i,C: $i] : ( A @ B @ C ) ) ),
inference(simp,[status(thm)],[67]) ).
thf(1641,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i )
& ~ ! [B: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ $true )
& ~ ! [B: $i,C: $i] : ( A @ B @ C ) ) ),
inference(rewrite,[status(thm)],[87,1145]) ).
thf(1646,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ~ ! [B: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ $true )
& ~ ! [B: $i,C: $i] : ( A @ B @ C ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1160,1641]) ).
thf(1647,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ~ ! [B: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ $true )
& ~ ! [B: $i,C: $i] : ( A @ B @ C ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true )
!= ( A @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[1646]) ).
thf(1666,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ~ ! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true )
& ~ ! [A: $i,B: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) ) ),
inference(pre_uni,[status(thm)],[1647:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( holdsDuring_THFTYPE_IiooI @ B @ $true ) ))]]) ).
thf(1674,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) ),
inference(simp,[status(thm)],[1666]) ).
thf(1774,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ) ),
inference(paramod_ordered,[status(thm)],[1160,1674]) ).
thf(1775,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
inference(simp,[status(thm)],[1774]) ).
thf(1776,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ~ ! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ) ),
inference(simp,[status(thm)],[1775]) ).
thf(1777,plain,
! [A: $i] :
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( holdsDuring_THFTYPE_IiooI @ A @ $true ) ),
inference(cnf,[status(esa)],[1776]) ).
thf(1778,plain,
! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ A @ $true ),
inference(simp,[status(thm)],[1777]) ).
thf(6,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_003) ).
thf(18,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(1112,plain,
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(paramod_ordered,[status(thm)],[18,1107]) ).
thf(1113,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ),
inference(simp,[status(thm)],[1112]) ).
thf(1140,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[1113]) ).
thf(1154,plain,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
inference(simp,[status(thm)],[1140]) ).
thf(25,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ( A @ C @ lAnna_THFTYPE_i )
& ~ ! [D: $i,E: $i] : ( B @ D @ E )
& ~ ! [D: $i,E: $i] : ( A @ D @ E ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( B @ C @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[18,14]) ).
thf(26,plain,
! [C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ C @ lAnna_THFTYPE_i )
& ~ ! [D: $i,E: $i] : ( B @ D @ E )
& ~ ! [D: $i,E: $i] : ( A @ D @ E ) ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( B @ C @ lBill_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[25]) ).
thf(76,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lBill_THFTYPE_i @ lAnna_THFTYPE_i )
& ~ ! [B: $i,C: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) )
& ~ ! [B: $i,C: $i] : ( A @ B @ C ) ) ),
inference(pre_uni,[status(thm)],[26:[bind(A,$thf( A )),bind(B,$thf( ^ [D: $i] : ^ [E: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ D ) ) )),bind(C,$thf( lBill_THFTYPE_i ))]]) ).
thf(95,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lBill_THFTYPE_i @ lAnna_THFTYPE_i )
& ~ ! [B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) )
& ~ ! [B: $i,C: $i] : ( A @ B @ C ) ) ),
inference(simp,[status(thm)],[76]) ).
thf(2353,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ~ ! [B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) )
& ~ ! [B: $i,C: $i] : ( A @ B @ C ) ) )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[1154,95]) ).
thf(2354,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ~ ! [B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) )
& ~ ! [B: $i,C: $i] : ( A @ B @ C ) ) )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lBill_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[2353]) ).
thf(2367,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ~ ! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) )
& ~ ! [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) ),
inference(pre_uni,[status(thm)],[2354:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ))]]) ).
thf(2393,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ~ ! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) )
& ~ ! [A: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) ),
inference(simp,[status(thm)],[2367]) ).
thf(6921,plain,
! [A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ~ ! [B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) )
& ~ ! [B: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1778,2393]) ).
thf(6922,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ A @ $true )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ~ ! [B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) )
& ~ ! [B: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) ) ),
inference(simp,[status(thm)],[6921]) ).
thf(6927,plain,
! [A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( ~ ! [B: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) )
& ~ ! [B: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ) ),
inference(simp,[status(thm)],[6922]) ).
thf(6932,plain,
! [C: $i,B: $i,A: $i] :
( ( A
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ C ) ),
inference(cnf,[status(esa)],[6927]) ).
thf(6933,plain,
! [B: $i,A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B ) ),
inference(simp,[status(thm)],[6932]) ).
thf(9718,plain,
! [B: $i,A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) )
| ~ $true
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[6933,1157]) ).
thf(9719,plain,
! [B: $i,A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ B )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) ),
inference(simp,[status(thm)],[9718]) ).
thf(9720,plain,
! [A: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ),
inference(pattern_uni,[status(thm)],[9719:[bind(A,$thf( A )),bind(B,$thf( lMary_THFTYPE_i ))]]) ).
thf(9942,plain,
! [A: $i] :
( ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(paramod_ordered,[status(thm)],[9720,1107]) ).
thf(9943,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ),
inference(simp,[status(thm)],[9942]) ).
thf(10014,plain,
! [A: $i] :
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ),
inference(simp,[status(thm)],[9943]) ).
thf(10070,plain,
! [A: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ),
inference(simp,[status(thm)],[10014]) ).
thf(10131,plain,
~ $true,
inference(rewrite,[status(thm)],[1157,10070]) ).
thf(10132,plain,
$false,
inference(simp,[status(thm)],[10131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR131^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.09/0.21 % Computer : n001.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Tue Sep 29 18:01:21 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.87/0.79 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.23/1.00 % [INFO] Parsing done (204ms).
% 1.23/1.01 % [INFO] Running in sequential loop mode.
% 2.07/1.42 % [INFO] eprover registered as external prover.
% 2.07/1.43 % [INFO] Scanning for conjecture ...
% 2.26/1.53 % [INFO] Found a conjecture (or negated_conjecture) and 10 axioms. Running axiom selection ...
% 2.26/1.57 % [INFO] Axiom selection finished. Selected 10 axioms (removed 0 axioms).
% 2.26/1.58 % [INFO] Problem is higher-order (TPTP THF).
% 2.26/1.59 % [INFO] Type checking passed.
% 2.26/1.59 % [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 ...
% 58.45/13.00 % [INFO] Killing All external provers ...
% 58.45/13.01 % Time passed: 12648ms (effective reasoning time: 11987ms)
% 58.45/13.01 % Solved by 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)>
% 58.45/13.01 % Axioms used in derivation (4): ax_009, ax_004, ax_001, ax_003
% 58.45/13.01 % No. of inferences in proof: 68
% 58.45/13.01 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 12648 ms resp. 11987 ms w/o parsing
% 59.73/13.08 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 59.73/13.08 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------