TSTP Solution File: CSR038+1 by Leo-III-SAT---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : CSR038+1 : TPTP v8.1.2. Released v3.4.0.
% 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 10:28:34 EDT 2024
% Result : Theorem 38.21s 6.55s
% Output : Refutation 38.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 20
% Syntax : Number of formulae : 44 ( 10 unt; 14 typ; 0 def)
% Number of atoms : 68 ( 5 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 298 ( 18 ~; 12 |; 6 &; 252 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 8 con; 0-4 aty)
% Number of variables : 32 ( 0 ^ 28 !; 4 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(mtvisible_type,type,
mtvisible: $i > $o ).
thf(c_knowledgefragmentd3mt_type,type,
c_knowledgefragmentd3mt: $i ).
thf(tptp_8_968_type,type,
tptp_8_968: $i > $i > $o ).
thf(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804_type,type,
c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804: $i ).
thf(tptpcol_16_7738_type,type,
tptpcol_16_7738: $i > $o ).
thf(relationexistsall_type,type,
relationexistsall: $i > $i > $i > $o ).
thf(isa_type,type,
isa: $i > $i > $o ).
thf(f_subcollectionofwithrelationtotypefn_type,type,
f_subcollectionofwithrelationtotypefn: $i > $i > $i > $i ).
thf(f_relationexistsallfn_type,type,
f_relationexistsallfn: $i > $i > $i > $i > $i ).
thf(c_issuingaprescription_type,type,
c_issuingaprescription: $i ).
thf(c_correctivelensprescription_type,type,
c_correctivelensprescription: $i ).
thf(c_tptp_8_968_type,type,
c_tptp_8_968: $i ).
thf(c_tptpcol_16_7738_type,type,
c_tptpcol_16_7738: $i ).
thf(c_products_type,type,
c_products: $i ).
thf(57,axiom,
isa @ c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804 @ ( f_subcollectionofwithrelationtotypefn @ c_issuingaprescription @ c_products @ c_correctivelensprescription ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).
thf(170,plain,
isa @ c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804 @ ( f_subcollectionofwithrelationtotypefn @ c_issuingaprescription @ c_products @ c_correctivelensprescription ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(35,axiom,
relationexistsall @ c_tptp_8_968 @ c_tptpcol_16_7738 @ ( f_subcollectionofwithrelationtotypefn @ c_issuingaprescription @ c_products @ c_correctivelensprescription ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).
thf(128,plain,
relationexistsall @ c_tptp_8_968 @ c_tptpcol_16_7738 @ ( f_subcollectionofwithrelationtotypefn @ c_issuingaprescription @ c_products @ c_correctivelensprescription ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(33,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( isa @ A @ B )
& ( relationexistsall @ C @ D @ B ) )
=> ( isa @ ( f_relationexistsallfn @ A @ C @ D @ B ) @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).
thf(123,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( isa @ A @ B )
& ( relationexistsall @ C @ D @ B ) )
=> ( isa @ ( f_relationexistsallfn @ A @ C @ D @ B ) @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(124,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( isa @ A @ B )
| ~ ( relationexistsall @ C @ D @ B )
| ( isa @ ( f_relationexistsallfn @ A @ C @ D @ B ) @ D ) ),
inference(cnf,[status(esa)],[123]) ).
thf(1016,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( isa @ A @ B )
| ( isa @ ( f_relationexistsallfn @ A @ C @ D @ B ) @ D )
| ( ( relationexistsall @ c_tptp_8_968 @ c_tptpcol_16_7738 @ ( f_subcollectionofwithrelationtotypefn @ c_issuingaprescription @ c_products @ c_correctivelensprescription ) )
!= ( relationexistsall @ C @ D @ B ) ) ),
inference(paramod_ordered,[status(thm)],[128,124]) ).
thf(1017,plain,
! [A: $i] :
( ~ ( isa @ A @ ( f_subcollectionofwithrelationtotypefn @ c_issuingaprescription @ c_products @ c_correctivelensprescription ) )
| ( isa @ ( f_relationexistsallfn @ A @ c_tptp_8_968 @ c_tptpcol_16_7738 @ ( f_subcollectionofwithrelationtotypefn @ c_issuingaprescription @ c_products @ c_correctivelensprescription ) ) @ c_tptpcol_16_7738 ) ),
inference(pattern_uni,[status(thm)],[1016:[bind(A,$thf( A )),bind(B,$thf( f_subcollectionofwithrelationtotypefn @ c_issuingaprescription @ c_products @ c_correctivelensprescription )),bind(C,$thf( c_tptp_8_968 )),bind(D,$thf( c_tptpcol_16_7738 ))]]) ).
thf(3190,plain,
! [A: $i] :
( ( isa @ ( f_relationexistsallfn @ A @ c_tptp_8_968 @ c_tptpcol_16_7738 @ ( f_subcollectionofwithrelationtotypefn @ c_issuingaprescription @ c_products @ c_correctivelensprescription ) ) @ c_tptpcol_16_7738 )
| ( ( isa @ c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804 @ ( f_subcollectionofwithrelationtotypefn @ c_issuingaprescription @ c_products @ c_correctivelensprescription ) )
!= ( isa @ A @ ( f_subcollectionofwithrelationtotypefn @ c_issuingaprescription @ c_products @ c_correctivelensprescription ) ) ) ),
inference(paramod_ordered,[status(thm)],[170,1017]) ).
thf(3191,plain,
isa @ ( f_relationexistsallfn @ c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804 @ c_tptp_8_968 @ c_tptpcol_16_7738 @ ( f_subcollectionofwithrelationtotypefn @ c_issuingaprescription @ c_products @ c_correctivelensprescription ) ) @ c_tptpcol_16_7738,
inference(pattern_uni,[status(thm)],[3190:[bind(A,$thf( c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804 ))]]) ).
thf(52,axiom,
! [A: $i] :
( ( isa @ A @ c_tptpcol_16_7738 )
=> ( tptpcol_16_7738 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just41) ).
thf(162,plain,
! [A: $i] :
( ( isa @ A @ c_tptpcol_16_7738 )
=> ( tptpcol_16_7738 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(163,plain,
! [A: $i] :
( ~ ( isa @ A @ c_tptpcol_16_7738 )
| ( tptpcol_16_7738 @ A ) ),
inference(cnf,[status(esa)],[162]) ).
thf(3356,plain,
! [A: $i] :
( ( tptpcol_16_7738 @ A )
| ( ( isa @ ( f_relationexistsallfn @ c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804 @ c_tptp_8_968 @ c_tptpcol_16_7738 @ ( f_subcollectionofwithrelationtotypefn @ c_issuingaprescription @ c_products @ c_correctivelensprescription ) ) @ c_tptpcol_16_7738 )
!= ( isa @ A @ c_tptpcol_16_7738 ) ) ),
inference(paramod_ordered,[status(thm)],[3191,163]) ).
thf(3357,plain,
tptpcol_16_7738 @ ( f_relationexistsallfn @ c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804 @ c_tptp_8_968 @ c_tptpcol_16_7738 @ ( f_subcollectionofwithrelationtotypefn @ c_issuingaprescription @ c_products @ c_correctivelensprescription ) ),
inference(pattern_uni,[status(thm)],[3356:[bind(A,$thf( f_relationexistsallfn @ c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804 @ c_tptp_8_968 @ c_tptpcol_16_7738 @ ( f_subcollectionofwithrelationtotypefn @ c_issuingaprescription @ c_products @ c_correctivelensprescription ) ))]]) ).
thf(47,axiom,
! [A: $i] :
( ( isa @ A @ ( f_subcollectionofwithrelationtotypefn @ c_issuingaprescription @ c_products @ c_correctivelensprescription ) )
=> ( tptp_8_968 @ ( f_relationexistsallfn @ A @ c_tptp_8_968 @ c_tptpcol_16_7738 @ ( f_subcollectionofwithrelationtotypefn @ c_issuingaprescription @ c_products @ c_correctivelensprescription ) ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just6) ).
thf(153,plain,
! [A: $i] :
( ( isa @ A @ ( f_subcollectionofwithrelationtotypefn @ c_issuingaprescription @ c_products @ c_correctivelensprescription ) )
=> ( tptp_8_968 @ ( f_relationexistsallfn @ A @ c_tptp_8_968 @ c_tptpcol_16_7738 @ ( f_subcollectionofwithrelationtotypefn @ c_issuingaprescription @ c_products @ c_correctivelensprescription ) ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(154,plain,
! [A: $i] :
( ~ ( isa @ A @ ( f_subcollectionofwithrelationtotypefn @ c_issuingaprescription @ c_products @ c_correctivelensprescription ) )
| ( tptp_8_968 @ ( f_relationexistsallfn @ A @ c_tptp_8_968 @ c_tptpcol_16_7738 @ ( f_subcollectionofwithrelationtotypefn @ c_issuingaprescription @ c_products @ c_correctivelensprescription ) ) @ A ) ),
inference(cnf,[status(esa)],[153]) ).
thf(1334,plain,
! [A: $i] :
( ( tptp_8_968 @ ( f_relationexistsallfn @ A @ c_tptp_8_968 @ c_tptpcol_16_7738 @ ( f_subcollectionofwithrelationtotypefn @ c_issuingaprescription @ c_products @ c_correctivelensprescription ) ) @ A )
| ( ( isa @ c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804 @ ( f_subcollectionofwithrelationtotypefn @ c_issuingaprescription @ c_products @ c_correctivelensprescription ) )
!= ( isa @ A @ ( f_subcollectionofwithrelationtotypefn @ c_issuingaprescription @ c_products @ c_correctivelensprescription ) ) ) ),
inference(paramod_ordered,[status(thm)],[170,154]) ).
thf(1335,plain,
tptp_8_968 @ ( f_relationexistsallfn @ c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804 @ c_tptp_8_968 @ c_tptpcol_16_7738 @ ( f_subcollectionofwithrelationtotypefn @ c_issuingaprescription @ c_products @ c_correctivelensprescription ) ) @ c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,
inference(pattern_uni,[status(thm)],[1334:[bind(A,$thf( c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804 ))]]) ).
thf(1,conjecture,
? [A: $i] :
( ( mtvisible @ c_knowledgefragmentd3mt )
=> ( ( tptp_8_968 @ A @ c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804 )
& ( tptpcol_16_7738 @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query38) ).
thf(2,negated_conjecture,
~ ? [A: $i] :
( ( mtvisible @ c_knowledgefragmentd3mt )
=> ( ( tptp_8_968 @ A @ c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804 )
& ( tptpcol_16_7738 @ A ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(58,plain,
~ ? [A: $i] :
( ( mtvisible @ c_knowledgefragmentd3mt )
=> ( ( tptp_8_968 @ A @ c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804 )
& ( tptpcol_16_7738 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(59,plain,
~ ( ( mtvisible @ c_knowledgefragmentd3mt )
=> ? [A: $i] :
( ( tptp_8_968 @ A @ c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804 )
& ( tptpcol_16_7738 @ A ) ) ),
inference(miniscope,[status(thm)],[58]) ).
thf(60,plain,
! [A: $i] :
( ~ ( tptp_8_968 @ A @ c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804 )
| ~ ( tptpcol_16_7738 @ A ) ),
inference(cnf,[status(esa)],[59]) ).
thf(1378,plain,
! [A: $i] :
( ~ ( tptpcol_16_7738 @ A )
| ( ( tptp_8_968 @ ( f_relationexistsallfn @ c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804 @ c_tptp_8_968 @ c_tptpcol_16_7738 @ ( f_subcollectionofwithrelationtotypefn @ c_issuingaprescription @ c_products @ c_correctivelensprescription ) ) @ c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804 )
!= ( tptp_8_968 @ A @ c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804 ) ) ),
inference(paramod_ordered,[status(thm)],[1335,60]) ).
thf(1379,plain,
~ ( tptpcol_16_7738 @ ( f_relationexistsallfn @ c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804 @ c_tptp_8_968 @ c_tptpcol_16_7738 @ ( f_subcollectionofwithrelationtotypefn @ c_issuingaprescription @ c_products @ c_correctivelensprescription ) ) ),
inference(pattern_uni,[status(thm)],[1378:[bind(A,$thf( f_relationexistsallfn @ c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804 @ c_tptp_8_968 @ c_tptpcol_16_7738 @ ( f_subcollectionofwithrelationtotypefn @ c_issuingaprescription @ c_products @ c_correctivelensprescription ) ))]]) ).
thf(3398,plain,
$false,
inference(rewrite,[status(thm)],[3357,1379]) ).
thf(3399,plain,
$false,
inference(simp,[status(thm)],[3398]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR038+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n018.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon May 6 23:28:39 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.99/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.23/0.99 % [INFO] Parsing done (141ms).
% 1.23/1.00 % [INFO] Running in sequential loop mode.
% 1.83/1.22 % [INFO] nitpick registered as external prover.
% 1.83/1.22 % [INFO] Scanning for conjecture ...
% 1.91/1.29 % [INFO] Found a conjecture and 72 axioms. Running axiom selection ...
% 2.16/1.35 % [INFO] Axiom selection finished. Selected 55 axioms (removed 17 axioms).
% 2.37/1.40 % [INFO] Problem is first-order (TPTP FOF).
% 2.37/1.41 % [INFO] Type checking passed.
% 2.37/1.41 % [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 ...
% 38.21/6.55 % [INFO] Killing All external provers ...
% 38.21/6.55 % Time passed: 6023ms (effective reasoning time: 5544ms)
% 38.21/6.55 % 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)>
% 38.21/6.55 % Axioms used in derivation (5): just8, just7, just1, just6, just41
% 38.21/6.55 % No. of inferences in proof: 30
% 38.21/6.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 6023 ms resp. 5544 ms w/o parsing
% 38.33/6.67 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 38.33/6.67 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------