%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR146^2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n020.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 07:47:00 AM UTC 2026
% Result : Theorem 24.60s 6.95s
% Output : Refutation 24.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 13 unt; 0 typ; 1 def)
% Number of atoms : 116 ( 26 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 222 ( 37 ~; 17 |; 3 &; 163 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 46 ( 46 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 109 ( 60 ^; 43 !; 5 ?; 109 :)
% ( 0 !>; 0 ?*; 0 @-; 1 @+)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(holdsDuring_THFTYPE_IiooI_decl,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(husband_THFTYPE_IiioI_decl,type,
husband_THFTYPE_IiioI: $i > $i > $o ).
thf(inverse_THFTYPE_IIiioIIiioIoI_decl,type,
inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(lChris_THFTYPE_i_decl,type,
lChris_THFTYPE_i: $i ).
thf(lCorina_THFTYPE_i_decl,type,
lCorina_THFTYPE_i: $i ).
thf(lYearFn_THFTYPE_IiiI_decl,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(n2009_THFTYPE_i_decl,type,
n2009_THFTYPE_i: $i ).
thf(wife_THFTYPE_IiioI_decl,type,
wife_THFTYPE_IiioI: $i > $i > $o ).
thf(sk1_decl,type,
sk1: $i ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $i] :
~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ A ) ) ) ).
thf(46,axiom,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_092) ).
thf(135,plain,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(60,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_110) ).
thf(166,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(1,conjecture,
? [A: $i > $i > $o] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( A @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ? [A: $i > $i > $o] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( A @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(69,plain,
~ ? [A: $i > $i > $o] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( A @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
& ( A
!= ( ^ [B: $i,C: $i] : $true ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(70,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( A @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
| ( A
= ( ^ [B: $i,C: $i] : $true ) ) ),
inference(cnf,[status(esa)],[69]) ).
thf(71,plain,
! [A: $i > $i > $o] :
( ( A
= ( ^ [B: $i,C: $i] : $true ) )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( A @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) ) ),
inference(lifteq,[status(thm)],[70]) ).
thf(2827,plain,
! [A: $i > $i > $o] :
( ( A
= ( ^ [B: $i,C: $i] : $true ) )
| ~ $true
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( A @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) ) ) ),
inference(paramod_ordered,[status(thm)],[166,71]) ).
thf(2828,plain,
! [A: $i > $i > $o] :
( ( A
= ( ^ [B: $i,C: $i] : $true ) )
| ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( A @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) ) ) ),
inference(simp,[status(thm)],[2827]) ).
thf(2871,plain,
( ( ^ [A: $i,B: $i] : ( wife_THFTYPE_IiioI @ B @ A ) )
= ( ^ [A: $i,B: $i] : $true ) ),
inference(pre_uni,[status(thm)],[2828:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( wife_THFTYPE_IiioI @ C @ B ) ))]]) ).
thf(2903,plain,
! [B: $i,A: $i] : ( wife_THFTYPE_IiioI @ B @ A ),
inference(func_ext,[status(esa)],[2871]) ).
thf(3352,plain,
( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI
@ ^ [A: $i,B: $i] : $true ),
inference(rewrite,[status(thm)],[135,2903]) ).
thf(16,axiom,
! [A: $i > $i > $o,B: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ B @ A )
=> ! [C: $i,D: $i] :
( ( B @ C @ D )
= ( A @ D @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_005) ).
thf(101,plain,
! [A: $i > $i > $o,B: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ B @ A )
=> ! [C: $i,D: $i] :
( ( B @ C @ D )
= ( A @ D @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(102,plain,
! [D: $i,C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ B @ A )
| ( ( B @ C @ D )
= ( A @ D @ C ) ) ),
inference(cnf,[status(esa)],[101]) ).
thf(103,plain,
! [D: $i,C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ( ( B @ C @ D )
= ( A @ D @ C ) )
| ~ ( inverse_THFTYPE_IIiioIIiioIoI @ B @ A ) ),
inference(lifteq,[status(thm)],[102]) ).
thf(68,axiom,
? [A: $i] :
~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_019) ).
thf(176,plain,
? [A: $i] :
~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(177,plain,
~ ! [A: $i] : ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ A ),
inference(miniscope,[status(thm)],[176]) ).
thf(178,plain,
~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sk1 ),
inference(cnf,[status(esa)],[177]) ).
thf(527,plain,
! [D: $i,C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ~ ( inverse_THFTYPE_IIiioIIiioIoI @ B @ A )
| ~ ( A @ D @ C )
| ( ( B @ C @ D )
!= ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[103,178]) ).
thf(617,plain,
! [B: $i,A: $i > $i > $o] :
( ~ ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [C: $i,D: $i] : ( husband_THFTYPE_IiioI @ C @ sk1 )
@ A )
| ~ ( A @ B @ lChris_THFTYPE_i ) ),
inference(pre_uni,[status(thm)],[527:[bind(A,$thf( A )),bind(B,$thf( ^ [E: $i] : ^ [F: $i] : ( husband_THFTYPE_IiioI @ E @ sk1 ) )),bind(C,$thf( lChris_THFTYPE_i )),bind(D,$thf( D ))]]) ).
thf(1011,plain,
! [B: $i,A: $i > $i > $o] :
( ~ ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [C: $i,D: $i] : ( husband_THFTYPE_IiioI @ C @ sk1 )
@ A )
| ~ ( A @ B @ lChris_THFTYPE_i ) ),
inference(simp,[status(thm)],[617]) ).
thf(1551,plain,
( ~ ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [A: $i,B: $i] : ( husband_THFTYPE_IiioI @ A @ sk1 )
@ ^ [A: $i,B: $i] : $true )
| ~ $true ),
inference(prim_subst,[status(thm)],[1011:[bind(A,$thf( ^ [C: $i] : ^ [D: $i] : $true ))]]) ).
thf(1696,plain,
~ ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [A: $i,B: $i] : ( husband_THFTYPE_IiioI @ A @ sk1 )
@ ^ [A: $i,B: $i] : $true ),
inference(simp,[status(thm)],[1551]) ).
thf(3421,plain,
( ~ $true
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI
@ ^ [A: $i,B: $i] : $true )
!= ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [A: $i,B: $i] : ( husband_THFTYPE_IiioI @ A @ sk1 )
@ ^ [A: $i,B: $i] : $true ) ) ),
inference(paramod_ordered,[status(thm)],[3352,1696]) ).
thf(3422,plain,
( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI
@ ^ [A: $i,B: $i] : $true )
!= ( inverse_THFTYPE_IIiioIIiioIoI
@ ^ [A: $i,B: $i] : ( husband_THFTYPE_IiioI @ A @ sk1 )
@ ^ [A: $i,B: $i] : $true ) ),
inference(simp,[status(thm)],[3421]) ).
thf(3479,plain,
( ( husband_THFTYPE_IiioI
!= ( ^ [A: $i,B: $i] : ( husband_THFTYPE_IiioI @ A @ sk1 ) ) )
| ( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ) ),
inference(simp,[status(thm)],[3422]) ).
thf(3494,plain,
( husband_THFTYPE_IiioI
!= ( ^ [A: $i,B: $i] : ( husband_THFTYPE_IiioI @ A @ sk1 ) ) ),
inference(simp,[status(thm)],[3479]) ).
thf(3448,plain,
! [D: $i,C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ( ( B @ C @ D )
= ( A @ D @ C ) )
| ~ $true
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI
@ ^ [E: $i,F: $i] : $true )
!= ( inverse_THFTYPE_IIiioIIiioIoI @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[3352,103]) ).
thf(3449,plain,
! [D: $i,C: $i,B: $i > $i > $o,A: $i > $i > $o] :
( ( ( B @ C @ D )
= ( A @ D @ C ) )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI
@ ^ [E: $i,F: $i] : $true )
!= ( inverse_THFTYPE_IIiioIIiioIoI @ B @ A ) ) ),
inference(simp,[status(thm)],[3448]) ).
thf(3450,plain,
! [B: $i,A: $i] : ( husband_THFTYPE_IiioI @ A @ B ),
inference(pattern_uni,[status(thm)],[3449:[bind(A,$thf( ^ [E: $i] : ^ [F: $i] : $true )),bind(B,$thf( husband_THFTYPE_IiioI )),bind(C,$thf( C )),bind(D,$thf( D ))]]) ).
thf(3499,plain,
! [B: $i,A: $i] : ( husband_THFTYPE_IiioI @ A @ B ),
inference(simp,[status(thm)],[3450]) ).
thf(3659,plain,
( ( ^ [A: $i,B: $i] : $true )
!= ( ^ [A: $i,B: $i] : $true ) ),
inference(rewrite,[status(thm)],[3494,3499]) ).
thf(3660,plain,
$false,
inference(simp,[status(thm)],[3659]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR146^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.11/0.21 % Computer : n020.cluster.edu
% 0.11/0.21 % Model : x86_64 x86_64
% 0.11/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.21 % Memory : 8046.5625MB
% 0.11/0.21 % OS : Linux 6.8.0-71-generic
% 0.11/0.21 % CPULimit : 300
% 0.11/0.21 % WCLimit : 300
% 0.11/0.21 % DateTime : Tue Sep 29 17:57:34 UTC 2026
% 0.11/0.21 % CPUTime :
% 0.11/0.21 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.86/0.79 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.99/1.17 % [INFO] Parsing done (374ms).
% 1.99/1.18 % [INFO] Running in sequential loop mode.
% 2.97/1.57 % [INFO] eprover registered as external prover.
% 2.97/1.57 % [INFO] Scanning for conjecture ...
% 3.42/1.74 % [INFO] Found a conjecture (or negated_conjecture) and 342 axioms. Running axiom selection ...
% 3.60/1.88 % [INFO] Axiom selection finished. Selected 66 axioms (removed 276 axioms).
% 3.99/1.93 % [INFO] Problem is higher-order (TPTP THF).
% 3.99/1.94 % [INFO] Type checking passed.
% 3.99/1.95 % [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 ...
% 24.60/6.95 % [INFO] Killing All external provers ...
% 24.60/6.95 % Time passed: 6598ms (effective reasoning time: 5758ms)
% 24.60/6.95 % 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)>
% 24.60/6.95 % Axioms used in derivation (4): ax_092, ax_110, ax_005, ax_019
% 24.60/6.95 % No. of inferences in proof: 37
% 24.60/6.95 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 6598 ms resp. 5758 ms w/o parsing
% 24.60/6.98 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 24.60/6.98 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------