TSTP Solution File: CSR146^3 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : CSR146^3 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n013.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 7 10:29:47 EDT 2024
% Result : Theorem 13.90s 3.66s
% Output : Refutation 13.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 36 ( 10 unt; 10 typ; 0 def)
% Number of atoms : 60 ( 14 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 126 ( 16 ~; 6 |; 3 &; 99 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 45 ( 45 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 55 ( 20 ^ 30 !; 5 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(holdsDuring_THFTYPE_IiooI_type,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(husband_THFTYPE_IiioI_type,type,
husband_THFTYPE_IiioI: $i > $i > $o ).
thf(lChris_THFTYPE_i_type,type,
lChris_THFTYPE_i: $i ).
thf(lCorina_THFTYPE_i_type,type,
lCorina_THFTYPE_i: $i ).
thf(lYearFn_THFTYPE_IiiI_type,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(n2009_THFTYPE_i_type,type,
n2009_THFTYPE_i: $i ).
thf(wife_THFTYPE_IiioI_type,type,
wife_THFTYPE_IiioI: $i > $i > $o ).
thf(inverse_THFTYPE_IIiioIIiioIoI_type,type,
inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(6,axiom,
? [A: $i] :
~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_003) ).
thf(17,plain,
? [A: $i] :
~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(18,plain,
~ ! [A: $i] : ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ A ),
inference(miniscope,[status(thm)],[17]) ).
thf(19,plain,
~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sk1 ),
inference(cnf,[status(esa)],[18]) ).
thf(3,axiom,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).
thf(11,plain,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(7,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_004) ).
thf(20,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)],[7]) ).
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(8,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(9,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)],[8]) ).
thf(10,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)],[9]) ).
thf(24,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(paramod_ordered,[status(thm)],[20,10]) ).
thf(36,plain,
( ( ^ [A: $i,B: $i] : ( wife_THFTYPE_IiioI @ B @ A ) )
= ( ^ [A: $i,B: $i] : $true ) ),
inference(pre_uni,[status(thm)],[24:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( wife_THFTYPE_IiioI @ C @ B ) ))]]) ).
thf(48,plain,
! [B: $i,A: $i] : ( wife_THFTYPE_IiioI @ B @ A ),
inference(func_ext,[status(esa)],[36]) ).
thf(551,plain,
( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI
@ ^ [A: $i,B: $i] : $true ),
inference(rewrite,[status(thm)],[11,48]) ).
thf(4,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_001) ).
thf(12,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)],[4]) ).
thf(13,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)],[12]) ).
thf(14,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)],[13]) ).
thf(789,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(paramod_ordered,[status(thm)],[551,14]) ).
thf(790,plain,
! [B: $i,A: $i] : ( husband_THFTYPE_IiioI @ A @ B ),
inference(pattern_uni,[status(thm)],[789:[bind(A,$thf( ^ [E: $i] : ^ [F: $i] : $true )),bind(B,$thf( husband_THFTYPE_IiioI )),bind(C,$thf( C )),bind(D,$thf( D ))]]) ).
thf(826,plain,
! [B: $i,A: $i] : ( husband_THFTYPE_IiioI @ A @ B ),
inference(simp,[status(thm)],[790]) ).
thf(872,plain,
~ $true,
inference(rewrite,[status(thm)],[19,826]) ).
thf(873,plain,
$false,
inference(simp,[status(thm)],[872]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14 % Problem : CSR146^3 : TPTP v8.1.2. Released v4.1.0.
% 0.15/0.17 % Command : run_Leo-III %s %d
% 0.17/0.38 % Computer : n013.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Mon May 6 23:26:24 EDT 2024
% 0.17/0.38 % CPUTime :
% 0.95/0.90 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.20/1.03 % [INFO] Parsing done (130ms).
% 1.35/1.04 % [INFO] Running in sequential loop mode.
% 1.76/1.27 % [INFO] nitpick registered as external prover.
% 1.76/1.27 % [INFO] Scanning for conjecture ...
% 1.89/1.35 % [INFO] Found a conjecture and 5 axioms. Running axiom selection ...
% 1.97/1.38 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 1.97/1.40 % [INFO] Problem is higher-order (TPTP THF).
% 1.97/1.40 % [INFO] Type checking passed.
% 1.97/1.41 % [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 ...
% 13.90/3.65 % [INFO] Killing All external provers ...
% 13.90/3.66 % Time passed: 3101ms (effective reasoning time: 2611ms)
% 13.90/3.66 % 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)>
% 13.90/3.66 % Axioms used in derivation (4): ax_003, ax, ax_004, ax_001
% 13.90/3.66 % No. of inferences in proof: 26
% 13.90/3.66 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 3101 ms resp. 2611 ms w/o parsing
% 13.90/3.73 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 13.90/3.73 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------