TSTP Solution File: CSR134^2 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : CSR134^2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n018.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 07:38:56 EDT 2024
% Result : Theorem 30.32s 5.95s
% Output : Refutation 30.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 15
% Syntax : Number of formulae : 40 ( 14 unt; 11 typ; 0 def)
% Number of atoms : 59 ( 10 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 180 ( 35 ~; 7 |; 4 &; 134 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 23 ( 0 ^ 14 !; 9 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
thf(num_type,type,
num: $tType ).
thf(holdsDuring_THFTYPE_IiooI_type,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(instance_THFTYPE_IiioI_type,type,
instance_THFTYPE_IiioI: $i > $i > $o ).
thf(lAnna_THFTYPE_i_type,type,
lAnna_THFTYPE_i: $i ).
thf(lBob_THFTYPE_i_type,type,
lBob_THFTYPE_i: $i ).
thf(lMary_THFTYPE_i_type,type,
lMary_THFTYPE_i: $i ).
thf(lMeasureFn_THFTYPE_i_type,type,
lMeasureFn_THFTYPE_i: $i ).
thf(lTotalValuedRelation_THFTYPE_i_type,type,
lTotalValuedRelation_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(parent_THFTYPE_IiioI_type,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(52,axiom,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_019) ).
thf(149,plain,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(11,axiom,
instance_THFTYPE_IiioI @ lMeasureFn_THFTYPE_i @ lTotalValuedRelation_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_067) ).
thf(94,plain,
instance_THFTYPE_IiioI @ lMeasureFn_THFTYPE_i @ lTotalValuedRelation_THFTYPE_i,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(1,conjecture,
? [A: $i > $i > $o,B: $i,C: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ B @ lAnna_THFTYPE_i )
& ~ ( A @ C @ lAnna_THFTYPE_i ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ? [A: $i > $i > $o,B: $i,C: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ B @ lAnna_THFTYPE_i )
& ~ ( A @ C @ lAnna_THFTYPE_i ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(78,plain,
~ ? [A: $i > $i > $o,B: $i,C: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ B @ lAnna_THFTYPE_i )
& ~ ( A @ C @ lAnna_THFTYPE_i ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(79,plain,
! [C: $i,B: $i,A: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( A @ B @ lAnna_THFTYPE_i )
& ~ ( A @ C @ lAnna_THFTYPE_i ) ) ),
inference(cnf,[status(esa)],[78]) ).
thf(192,plain,
! [B: $i,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ( ( instance_THFTYPE_IiioI @ lMeasureFn_THFTYPE_i @ lTotalValuedRelation_THFTYPE_i )
!= ( A @ B @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[94,79]) ).
thf(196,plain,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ),
inference(pre_uni,[status(thm)],[192:[bind(A,$thf( ^ [C: $i] : ^ [D: $i] : ( instance_THFTYPE_IiioI @ lMeasureFn_THFTYPE_i @ lTotalValuedRelation_THFTYPE_i ) )),bind(B,$thf( B ))]]) ).
thf(1245,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ),
inference(paramod_ordered,[status(thm)],[149,196]) ).
thf(1257,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[1245]) ).
thf(1272,plain,
( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
| ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
inference(cnf,[status(esa)],[1257]) ).
thf(1273,plain,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
inference(simp,[status(thm)],[1272]) ).
thf(56,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_023) ).
thf(153,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(806,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ),
inference(paramod_ordered,[status(thm)],[153,196]) ).
thf(813,plain,
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[806]) ).
thf(825,plain,
parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i,
inference(simp,[status(thm)],[813]) ).
thf(836,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true,
inference(rewrite,[status(thm)],[153,825]) ).
thf(840,plain,
! [C: $i,B: $i,A: $i > $i > $o] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( A @ C @ lAnna_THFTYPE_i ) )
| ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
!= ( A @ B @ lAnna_THFTYPE_i ) ) ),
inference(paramod_ordered,[status(thm)],[825,79]) ).
thf(846,plain,
! [A: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i ) ),
inference(pre_uni,[status(thm)],[840:[bind(A,$thf( ^ [D: $i] : ^ [E: $i] : ( parent_THFTYPE_IiioI @ D @ lAnna_THFTYPE_i ) )),bind(B,$thf( lMary_THFTYPE_i )),bind(C,$thf( C ))]]) ).
thf(849,plain,
! [A: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[846]) ).
thf(3717,plain,
! [A: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i ) )
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
inference(paramod_ordered,[status(thm)],[836,849]) ).
thf(3723,plain,
! [A: $i] :
( ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) )
| ~ ~ ( parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i ) ),
inference(simp,[status(thm)],[3717]) ).
thf(3734,plain,
! [A: $i] :
( ( parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i )
| ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
!= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
inference(cnf,[status(esa)],[3723]) ).
thf(3735,plain,
! [A: $i] : ( parent_THFTYPE_IiioI @ A @ lAnna_THFTYPE_i ),
inference(simp,[status(thm)],[3734]) ).
thf(3744,plain,
~ $true,
inference(rewrite,[status(thm)],[1273,3735]) ).
thf(3745,plain,
$false,
inference(simp,[status(thm)],[3744]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : CSR134^2 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.16/0.38 % Computer : n018.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Mon May 6 15:48:09 EDT 2024
% 0.16/0.38 % CPUTime :
% 0.97/0.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.34/1.03 % [INFO] Parsing done (165ms).
% 1.34/1.04 % [INFO] Running in sequential loop mode.
% 1.98/1.26 % [INFO] eprover registered as external prover.
% 1.98/1.26 % [INFO] cvc4 registered as external prover.
% 1.98/1.27 % [INFO] Scanning for conjecture ...
% 2.21/1.35 % [INFO] Found a conjecture and 79 axioms. Running axiom selection ...
% 2.25/1.41 % [INFO] Axiom selection finished. Selected 75 axioms (removed 4 axioms).
% 2.48/1.45 % [INFO] Problem is higher-order (TPTP THF).
% 2.48/1.46 % [INFO] Type checking passed.
% 2.48/1.46 % [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 ...
% 30.32/5.95 % [INFO] Killing All external provers ...
% 30.32/5.95 % Time passed: 5414ms (effective reasoning time: 4905ms)
% 30.32/5.95 % 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)>
% 30.32/5.95 % Axioms used in derivation (3): ax_019, ax_067, ax_023
% 30.32/5.95 % No. of inferences in proof: 29
% 30.32/5.95 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 5414 ms resp. 4905 ms w/o parsing
% 30.32/5.97 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 30.32/5.97 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------