TSTP Solution File: CSR152_8 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : CSR152_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n005.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 10:29:50 EDT 2024
% Result : Theorem 2.80s 1.65s
% Output : Refutation 2.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 28 ( 8 unt; 7 typ; 0 def)
% Number of atoms : 49 ( 7 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 98 ( 16 ~; 6 |; 0 &; 72 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 6 con; 0-2 aty)
% Number of variables : 7 ( 0 ^ 7 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(knows_THFTYPE_IiooI_type,type,
knows_THFTYPE_IiooI: $i > $o > $o ).
thf(lBill_THFTYPE_i_type,type,
lBill_THFTYPE_i: $i ).
thf(lChris_THFTYPE_i_type,type,
lChris_THFTYPE_i: $i ).
thf(lMary_THFTYPE_i_type,type,
lMary_THFTYPE_i: $i ).
thf(lSue_THFTYPE_i_type,type,
lSue_THFTYPE_i: $i ).
thf(likes_THFTYPE_IiioI_type,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(5,axiom,
( knows_THFTYPE_IiooI @ lChris_THFTYPE_i
@ ! [A: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002) ).
thf(9,plain,
( knows_THFTYPE_IiooI @ lChris_THFTYPE_i
@ ! [A: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(1,conjecture,
knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(6,plain,
~ ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ( lChris_THFTYPE_i = lChris_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).
thf(7,plain,
knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ $true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(10,plain,
( ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ $true ) ),
inference(paramod_ordered,[status(thm)],[7,6]) ).
thf(12,plain,
( ( lChris_THFTYPE_i != lChris_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[10]) ).
thf(14,plain,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
inference(simp,[status(thm)],[12]) ).
thf(16,plain,
~ ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ $false ),
inference(rewrite,[status(thm)],[6,14]) ).
thf(23,plain,
( ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i
@ ! [A: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) )
!= ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ $false ) ),
inference(paramod_ordered,[status(thm)],[9,16]) ).
thf(24,plain,
( ( lChris_THFTYPE_i != lChris_THFTYPE_i )
| ! [A: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ) ),
inference(simp,[status(thm)],[23]) ).
thf(25,plain,
! [A: $i] :
( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
| ( lChris_THFTYPE_i != lChris_THFTYPE_i ) ),
inference(cnf,[status(esa)],[24]) ).
thf(26,plain,
! [A: $i] :
( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A ) ),
inference(simp,[status(thm)],[25]) ).
thf(29,plain,
! [A: $i] :
( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ A )
| ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ A )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[26,14]) ).
thf(30,plain,
~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ),
inference(pattern_uni,[status(thm)],[29:[bind(A,$thf( lBill_THFTYPE_i ))]]) ).
thf(4,axiom,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_001) ).
thf(8,plain,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(36,plain,
~ $true,
inference(rewrite,[status(thm)],[30,8]) ).
thf(37,plain,
$false,
inference(simp,[status(thm)],[36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : CSR152_8 : TPTP v8.1.2. Released v8.0.0.
% 0.15/0.15 % Command : run_Leo-III %s %d
% 0.15/0.37 % Computer : n005.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 : Mon May 6 23:19:24 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.97/0.88 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.27/0.99 % [INFO] Parsing done (109ms).
% 1.27/1.00 % [INFO] Running in sequential loop mode.
% 1.66/1.21 % [INFO] nitpick registered as external prover.
% 1.66/1.21 % [INFO] Scanning for conjecture ...
% 1.86/1.27 % [INFO] Found a conjecture and 3 axioms. Running axiom selection ...
% 1.86/1.29 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 1.86/1.30 % [INFO] Problem is typed first-order (TPTP TFF).
% 1.86/1.30 % [INFO] Type checking passed.
% 1.86/1.30 % [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 ...
% 2.80/1.64 % [INFO] Killing All external provers ...
% 2.80/1.65 % Time passed: 1121ms (effective reasoning time: 641ms)
% 2.80/1.65 % 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)>
% 2.80/1.65 % Axioms used in derivation (3): ax_002, ax, ax_001
% 2.80/1.65 % No. of inferences in proof: 21
% 2.80/1.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1121 ms resp. 641 ms w/o parsing
% 2.81/1.67 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.81/1.67 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------