TSTP Solution File: CSR142^2 by Leo-III-SAT---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : CSR142^2 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d SAT
% 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 : Mon Jun 24 05:27:14 EDT 2024
% Result : Theorem 65.32s 10.12s
% Output : Refutation 65.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 24 ( 11 unt; 6 typ; 0 def)
% Number of atoms : 35 ( 8 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 69 ( 6 ~; 3 |; 0 &; 58 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 0 ^ 25 !; 3 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(husband_THFTYPE_IiioI_type,type,
husband_THFTYPE_IiioI: $i > $i > $o ).
thf(inverse_THFTYPE_IIiioIIiioIoI_type,type,
inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(lChris_THFTYPE_i_type,type,
lChris_THFTYPE_i: $i ).
thf(lCorina_THFTYPE_i_type,type,
lCorina_THFTYPE_i: $i ).
thf(wife_THFTYPE_IiioI_type,type,
wife_THFTYPE_IiioI: $i > $i > $o ).
thf(61,axiom,
wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_051) ).
thf(146,plain,
wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(66,axiom,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_042) ).
thf(151,plain,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(39,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/sandbox2/benchmark/theBenchmark.p',ax_006) ).
thf(122,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)],[39]) ).
thf(123,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)],[122]) ).
thf(124,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)],[123]) ).
thf(4672,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 @ wife_THFTYPE_IiioI )
!= ( inverse_THFTYPE_IIiioIIiioIoI @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[151,124]) ).
thf(4673,plain,
! [B: $i,A: $i] :
( ( wife_THFTYPE_IiioI @ B @ A )
= ( husband_THFTYPE_IiioI @ A @ B ) ),
inference(pattern_uni,[status(thm)],[4672:[bind(A,$thf( wife_THFTYPE_IiioI )),bind(B,$thf( husband_THFTYPE_IiioI )),bind(C,$thf( C )),bind(D,$thf( D ))]]) ).
thf(5803,plain,
! [B: $i,A: $i] :
( ( wife_THFTYPE_IiioI @ B @ A )
= ( husband_THFTYPE_IiioI @ A @ B ) ),
inference(simp,[status(thm)],[4673]) ).
thf(9448,plain,
husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ lCorina_THFTYPE_i,
inference(rewrite,[status(thm)],[146,5803]) ).
thf(1,conjecture,
? [A: $i] : ( husband_THFTYPE_IiioI @ A @ lCorina_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ? [A: $i] : ( husband_THFTYPE_IiioI @ A @ lCorina_THFTYPE_i ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(67,plain,
~ ? [A: $i] : ( husband_THFTYPE_IiioI @ A @ lCorina_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(68,plain,
! [A: $i] :
~ ( husband_THFTYPE_IiioI @ A @ lCorina_THFTYPE_i ),
inference(cnf,[status(esa)],[67]) ).
thf(9792,plain,
$false,
inference(rewrite,[status(thm)],[9448,68]) ).
thf(9793,plain,
$false,
inference(simp,[status(thm)],[9792]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR142^2 : TPTP v8.2.0. Released v4.1.0.
% 0.00/0.12 % Command : run_Leo-III %s %d SAT
% 0.13/0.33 % Computer : n002.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jun 19 22:02:25 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.89/0.76 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.31/0.93 % [INFO] Parsing done (174ms).
% 1.54/0.94 % [INFO] Running in sequential loop mode.
% 1.92/1.15 % [INFO] nitpick registered as external prover.
% 1.92/1.15 % [INFO] Scanning for conjecture ...
% 2.31/1.23 % [INFO] Found a conjecture (or negated_conjecture) and 229 axioms. Running axiom selection ...
% 2.37/1.30 % [INFO] Axiom selection finished. Selected 64 axioms (removed 165 axioms).
% 2.70/1.33 % [INFO] Problem is higher-order (TPTP THF).
% 2.70/1.34 % [INFO] Type checking passed.
% 2.70/1.34 % [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 ...
% 65.32/10.12 % [INFO] Killing All external provers ...
% 65.32/10.12 % Time passed: 9657ms (effective reasoning time: 9170ms)
% 65.32/10.12 % 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)>
% 65.32/10.12 % Axioms used in derivation (3): ax_051, ax_042, ax_006
% 65.32/10.12 % No. of inferences in proof: 18
% 65.32/10.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 9657 ms resp. 9170 ms w/o parsing
% 65.32/10.14 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 65.32/10.14 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------