TSTP Solution File: CSR130^2 by Leo-III-SAT---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : CSR130^2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n006.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 10:29:42 EDT 2024
% Result : Theorem 26.93s 5.19s
% Output : Refutation 27.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 16
% Syntax : Number of formulae : 54 ( 19 unt; 11 typ; 0 def)
% Number of atoms : 93 ( 16 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 326 ( 58 ~; 17 |; 17 &; 234 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 49 ( 0 ^ 46 !; 3 ?; 49 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(holdsDuring_THFTYPE_IiooI_type,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(instance_THFTYPE_IIiioIioI_type,type,
instance_THFTYPE_IIiioIioI: ( $i > $i > $o ) > $i > $o ).
thf(lBill_THFTYPE_i_type,type,
lBill_THFTYPE_i: $i ).
thf(lBinaryPredicate_THFTYPE_i_type,type,
lBinaryPredicate_THFTYPE_i: $i ).
thf(lMary_THFTYPE_i_type,type,
lMary_THFTYPE_i: $i ).
thf(lSue_THFTYPE_i_type,type,
lSue_THFTYPE_i: $i ).
thf(lYearFn_THFTYPE_IiiI_type,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(likes_THFTYPE_IiioI_type,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(meetsTemporally_THFTYPE_IiioI_type,type,
meetsTemporally_THFTYPE_IiioI: $i > $i > $o ).
thf(n2009_THFTYPE_i_type,type,
n2009_THFTYPE_i: $i ).
thf(44,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_005) ).
thf(121,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(10,axiom,
instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_051) ).
thf(74,plain,
instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(1,conjecture,
? [A: $i > $i > $o] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ! [B: $i,C: $i] : ( A @ B @ C ) ) ),
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 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ! [B: $i,C: $i] : ( A @ B @ C ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(61,plain,
~ ? [A: $i > $i > $o] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ! [B: $i,C: $i] : ( A @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(62,plain,
! [A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ! [B: $i,C: $i] : ( A @ B @ C ) ) ),
inference(cnf,[status(esa)],[61]) ).
thf(146,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ! [B: $i,C: $i] : ( A @ B @ C ) ) )
| ( ( instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
!= ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[74,62]) ).
thf(160,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i )
& ~ ! [A: $i,B: $i] : ( instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i ) ) ),
inference(pre_uni,[status(thm)],[146:[bind(A,$thf( ^ [B: $i] : ^ [C: $i] : ( instance_THFTYPE_IIiioIioI @ meetsTemporally_THFTYPE_IiioI @ lBinaryPredicate_THFTYPE_i ) ))]]) ).
thf(161,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ),
inference(simp,[status(thm)],[160]) ).
thf(662,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ),
inference(paramod_ordered,[status(thm)],[121,161]) ).
thf(681,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(simp,[status(thm)],[662]) ).
thf(691,plain,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
inference(simp,[status(thm)],[681]) ).
thf(695,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true,
inference(rewrite,[status(thm)],[121,691]) ).
thf(722,plain,
! [A: $i > $i > $o] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ! [B: $i,C: $i] : ( A @ B @ C ) ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
inference(paramod_ordered,[status(thm)],[695,62]) ).
thf(730,plain,
! [A: $i > $i > $o] :
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ! [B: $i,C: $i] : ( A @ B @ C ) ) ),
inference(simp,[status(thm)],[722]) ).
thf(745,plain,
! [C: $i,B: $i,A: $i > $i > $o] :
( ~ ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ( A @ B @ C )
| ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
inference(cnf,[status(esa)],[730]) ).
thf(746,plain,
! [C: $i,B: $i,A: $i > $i > $o] :
( ~ ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ( A @ B @ C ) ),
inference(simp,[status(thm)],[745]) ).
thf(43,axiom,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_009) ).
thf(120,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)],[43]) ).
thf(1855,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(paramod_ordered,[status(thm)],[120,161]) ).
thf(1872,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)],[1855]) ).
thf(1902,plain,
( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
| ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
inference(cnf,[status(esa)],[1872]) ).
thf(1903,plain,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
inference(simp,[status(thm)],[1902]) ).
thf(1930,plain,
! [C: $i,B: $i,A: $i > $i > $o] :
( ~ ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ( ( A @ B @ C )
!= ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[746,1903]) ).
thf(1935,plain,
( ~ ( likes_THFTYPE_IiioI @ lBill_THFTYPE_i @ lMary_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lBill_THFTYPE_i @ lMary_THFTYPE_i ) ),
inference(pre_uni,[status(thm)],[1930:[bind(A,$thf( ^ [D: $i] : ^ [E: $i] : ( likes_THFTYPE_IiioI @ E @ lMary_THFTYPE_i ) )),bind(B,$thf( B )),bind(C,$thf( lSue_THFTYPE_i ))]]) ).
thf(1941,plain,
~ ( likes_THFTYPE_IiioI @ lBill_THFTYPE_i @ lMary_THFTYPE_i ),
inference(simp,[status(thm)],[1935]) ).
thf(696,plain,
! [A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ! [B: $i,C: $i] : ( A @ B @ C ) ) )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= ( A @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[691,62]) ).
thf(701,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ! [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ A @ B ) ) ),
inference(pre_uni,[status(thm)],[696:[bind(A,$thf( likes_THFTYPE_IiioI ))]]) ).
thf(53,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_004) ).
thf(131,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)],[53]) ).
thf(1677,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(paramod_ordered,[status(thm)],[131,161]) ).
thf(1717,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)],[1677]) ).
thf(1737,plain,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
inference(simp,[status(thm)],[1717]) ).
thf(2148,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( $true
& ~ ! [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ A @ B ) ) ),
inference(rewrite,[status(thm)],[701,1737]) ).
thf(2149,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ! [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ A @ B ) ),
inference(simp,[status(thm)],[2148]) ).
thf(2153,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ! [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ A @ B ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
inference(paramod_ordered,[status(thm)],[695,2149]) ).
thf(2156,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ~ ! [A: $i,B: $i] : ( likes_THFTYPE_IiioI @ A @ B ) ),
inference(simp,[status(thm)],[2153]) ).
thf(2159,plain,
! [B: $i,A: $i] :
( ( likes_THFTYPE_IiioI @ A @ B )
| ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
inference(cnf,[status(esa)],[2156]) ).
thf(2160,plain,
! [B: $i,A: $i] : ( likes_THFTYPE_IiioI @ A @ B ),
inference(simp,[status(thm)],[2159]) ).
thf(2164,plain,
~ $true,
inference(rewrite,[status(thm)],[1941,2160]) ).
thf(2165,plain,
$false,
inference(simp,[status(thm)],[2164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CSR130^2 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n006.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 6 23:14:24 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.93/0.90 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.53/1.07 % [INFO] Parsing done (160ms).
% 1.53/1.07 % [INFO] Running in sequential loop mode.
% 1.98/1.28 % [INFO] nitpick registered as external prover.
% 1.98/1.29 % [INFO] Scanning for conjecture ...
% 2.17/1.36 % [INFO] Found a conjecture and 64 axioms. Running axiom selection ...
% 2.22/1.42 % [INFO] Axiom selection finished. Selected 58 axioms (removed 6 axioms).
% 2.53/1.45 % [INFO] Problem is higher-order (TPTP THF).
% 2.53/1.45 % [INFO] Type checking passed.
% 2.53/1.46 % [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 ...
% 26.93/5.17 % [INFO] Killing All external provers ...
% 26.93/5.18 % Time passed: 4635ms (effective reasoning time: 4098ms)
% 26.93/5.18 % 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)>
% 26.93/5.18 % Axioms used in derivation (4): ax_005, ax_051, ax_009, ax_004
% 26.93/5.18 % No. of inferences in proof: 43
% 26.93/5.19 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 4635 ms resp. 4098 ms w/o parsing
% 27.07/5.29 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 27.07/5.29 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------