TSTP Solution File: CSR038+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : CSR038+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 : 600s
% DateTime : Fri Jul 15 23:24:29 EDT 2022
% Result : Theorem 36.72s 36.89s
% Output : Refutation 36.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 4 unt; 0 nHn; 11 RR)
% Number of literals : 20 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(462,axiom,
isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
file('CSR038+2.p',unknown),
[] ).
cnf(643,axiom,
( ~ isa(u,c_tptpcol_16_7738)
| tptpcol_16_7738(u) ),
file('CSR038+2.p',unknown),
[] ).
cnf(999,axiom,
( ~ tptpcol_16_7738(u)
| ~ tptp_8_968(u,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ),
file('CSR038+2.p',unknown),
[] ).
cnf(1014,axiom,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
file('CSR038+2.p',unknown),
[] ).
cnf(1129,axiom,
( ~ isa(u,v)
| ~ relationexistsall(w,x,v)
| isa(f_relationexistsallfn(u,w,x,v),x) ),
file('CSR038+2.p',unknown),
[] ).
cnf(1131,axiom,
( ~ isa(u,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| tptp_8_968(f_relationexistsallfn(u,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),u) ),
file('CSR038+2.p',unknown),
[] ).
cnf(7717,plain,
( ~ isa(u,v)
| ~ relationexistsall(w,c_tptpcol_16_7738,v)
| tptpcol_16_7738(f_relationexistsallfn(u,w,c_tptpcol_16_7738,v)) ),
inference(res,[status(thm),theory(equality)],[1129,643]),
[iquote('0:Res:1129.2,643.0')] ).
cnf(7898,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)))
| ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
inference(res,[status(thm),theory(equality)],[1131,999]),
[iquote('0:Res:1131.1,999.1')] ).
cnf(7899,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(mrr,[status(thm)],[7898,462]),
[iquote('0:MRR:7898.1,462.0')] ).
cnf(47530,plain,
( ~ relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
inference(sor,[status(thm)],[7899,7717]),
[iquote('0:SoR:7899.0,7717.2')] ).
cnf(47531,plain,
$false,
inference(mrr,[status(thm)],[47530,1014,462]),
[iquote('0:MRR:47530.0,47530.1,1014.0,462.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR038+2 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 11 05:52:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 36.72/36.89
% 36.72/36.89 SPASS V 3.9
% 36.72/36.89 SPASS beiseite: Proof found.
% 36.72/36.89 % SZS status Theorem
% 36.72/36.89 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 36.72/36.89 SPASS derived 45884 clauses, backtracked 0 clauses, performed 0 splits and kept 39027 clauses.
% 36.72/36.89 SPASS allocated 128303 KBytes.
% 36.72/36.89 SPASS spent 0:0:34.81 on the problem.
% 36.72/36.89 0:00:00.04 for the input.
% 36.72/36.89 0:00:00.18 for the FLOTTER CNF translation.
% 36.72/36.89 0:00:00.75 for inferences.
% 36.72/36.89 0:00:00.00 for the backtracking.
% 36.72/36.89 0:0:30.64 for the reduction.
% 36.72/36.89
% 36.72/36.89
% 36.72/36.89 Here is a proof with depth 2, length 11 :
% 36.72/36.89 % SZS output start Refutation
% See solution above
% 36.72/36.89 Formulae used in the proof : ax1_134 ax1_673 query88 ax1_245 ax1_64 ax1_244
% 36.72/36.89
%------------------------------------------------------------------------------