%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CSR038+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:10:04 PM UTC 2026
% Result : Theorem 4.13s 1.27s
% Output : CNFRefutation 4.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 8 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 61 ( 30 ~; 22 |; 4 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-4 aty)
% Number of variables : 36 ( 0 sgn 34 !; 2 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
fof(f64,axiom,
! [X0,X1,X2,X3] :
( ( relationexistsall(X2,X3,X1)
& isa(X0,X1) )
=> isa(f_relationexistsallfn(X0,X2,X3,X1),X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_64) ).
fof(f134,axiom,
isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_134) ).
fof(f244,axiom,
! [X0] :
( isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
=> tptp_8_968(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_244) ).
fof(f245,axiom,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_245) ).
fof(f673,axiom,
! [X0] :
( isa(X0,c_tptpcol_16_7738)
=> tptpcol_16_7738(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_673) ).
fof(f1132,conjecture,
? [X0] :
( mtvisible(c_knowledgefragmentd3mt)
=> ( tptpcol_16_7738(X0)
& tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query88) ).
fof(f1133,negated_conjecture,
~ ? [X0] :
( mtvisible(c_knowledgefragmentd3mt)
=> ( tptpcol_16_7738(X0)
& tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1255,plain,
! [X0,X1,X2,X3] :
( ~ relationexistsall(X2,X3,X1)
| ~ isa(X0,X1)
| isa(f_relationexistsallfn(X0,X2,X3,X1),X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f1256,plain,
! [X0,X1,X2,X3] :
( ~ relationexistsall(X2,X3,X1)
| ~ isa(X0,X1)
| isa(f_relationexistsallfn(X0,X2,X3,X1),X3) ),
inference(flattening,[],[f1255]) ).
fof(f1344,plain,
! [X0] :
( ~ isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| tptp_8_968(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X0) ),
inference(ennf_transformation,[],[f244]) ).
fof(f1619,plain,
! [X0] :
( ~ isa(X0,c_tptpcol_16_7738)
| tptpcol_16_7738(X0) ),
inference(ennf_transformation,[],[f673]) ).
fof(f2022,plain,
! [X0] :
( mtvisible(c_knowledgefragmentd3mt)
& ( ~ tptpcol_16_7738(X0)
| ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ),
inference(ennf_transformation,[],[f1133]) ).
fof(f2086,plain,
! [X2,X3,X0,X1] :
( ~ relationexistsall(X2,X3,X1)
| ~ isa(X0,X1)
| isa(f_relationexistsallfn(X0,X2,X3,X1),X3) ),
inference(cnf_transformation,[],[f1256]) ).
fof(f2155,plain,
isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(cnf_transformation,[],[f134]) ).
fof(f2265,plain,
! [X0] :
( ~ isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| tptp_8_968(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X0) ),
inference(cnf_transformation,[],[f1344]) ).
fof(f2266,plain,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(cnf_transformation,[],[f245]) ).
fof(f2674,plain,
! [X0] :
( ~ isa(X0,c_tptpcol_16_7738)
| tptpcol_16_7738(X0) ),
inference(cnf_transformation,[],[f1619]) ).
fof(f3063,plain,
! [X0] :
( ~ tptpcol_16_7738(X0)
| ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ),
inference(cnf_transformation,[],[f2022]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( isa(f_relationexistsallfn(X3,X0,X1,X2),X1)
| ~ isa(X3,X2)
| ~ relationexistsall(X0,X1,X2) ),
inference(cnf_transformation,[],[f2086]) ).
tcf(c_181,plain,
isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(cnf_transformation,[],[f2155]) ).
tcf(c_291,plain,
! [X0: $i] :
( tptp_8_968(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X0)
| ~ isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
inference(cnf_transformation,[],[f2265]) ).
tcf(c_292,plain,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(cnf_transformation,[],[f2266]) ).
tcf(c_700,plain,
! [X0: $i] :
( tptpcol_16_7738(X0)
| ~ isa(X0,c_tptpcol_16_7738) ),
inference(cnf_transformation,[],[f2674]) ).
tcf(c_1088,negated_conjecture,
! [X0: $i] :
( ~ tptpcol_16_7738(X0)
| ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ),
inference(cnf_transformation,[],[f3063]) ).
tcf(c_1121,plain,
( ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| ~ 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(superposition,[status(thm)],[c_291,c_1088]) ).
tcf(c_1218,plain,
! [X0: $i,X1: $i,X2: $i] :
( tptpcol_16_7738(f_relationexistsallfn(X2,X0,c_tptpcol_16_7738,X1))
| ~ isa(X2,X1)
| ~ relationexistsall(X0,c_tptpcol_16_7738,X1) ),
inference(superposition,[status(thm)],[c_112,c_700]) ).
tcf(c_1226,plain,
( ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| ~ 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(superposition,[status(thm)],[c_291,c_1088]) ).
tcf(c_1239,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(global_subsumption_just,[status(thm)],[c_1226,c_181,c_1121]) ).
tcf(c_1241,plain,
( ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| ~ relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
inference(superposition,[status(thm)],[c_1218,c_1239]) ).
tcf(c_1242,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1241,c_292,c_181]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR038+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.35 % Computer : n013.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 08:21:51 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.40
% 0.14/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.40
% 0.14/0.40 % Detected problem language: tptp
% 0.14/0.41 % Proving...
% 4.13/1.27 % SZS status Started for theBenchmark.p
% 4.13/1.27 % SZS status Theorem for theBenchmark.p
% 4.13/1.27
% 4.13/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.13/1.27
% 4.13/1.27 % ------ iProver source info
% 4.13/1.27
% 4.13/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 4.13/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.13/1.27 % git: non_committed_changes: false
% 4.13/1.27
% 4.13/1.27 % ------ Parsing...
% 4.13/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.13/1.27 % ------ Proving...
% 4.13/1.27 % ------ Problem Properties
% 4.13/1.27
% 4.13/1.27 %
% 4.13/1.27 % clauses 1041
% 4.13/1.27 % conjectures 2
% 4.13/1.27 % EPR 980
% 4.13/1.27 % Horn 1041
% 4.13/1.27 % unary 287
% 4.13/1.27 % binary 710
% 4.13/1.27 % lits 1839
% 4.13/1.27 % lits eq 0
% 4.13/1.27 % fd_pure 0
% 4.13/1.27 % fd_pseudo 0
% 4.13/1.27 % fd_cond 0
% 4.13/1.27 % fd_pseudo_cond 0
% 4.13/1.27 % AC symbols 0
% 4.13/1.27
% 4.13/1.27 % ------ Input Options Time Limit: Unbounded
% 4.13/1.27
% 4.13/1.27
% 4.13/1.27 % ------
% 4.13/1.27 % Current options:
% 4.13/1.27 % ------
% 4.13/1.27
% 4.13/1.27
% 4.13/1.27 %
% 4.13/1.27
% 4.13/1.27 % ------ Proving...
% 4.13/1.27 %
% 4.13/1.27
% 4.13/1.27 % ------ Proving...
% 4.13/1.27 %
% 4.13/1.27
% 4.13/1.27 % ------ Proving...
% 4.13/1.27 %
% 4.13/1.27
% 4.13/1.27 % SZS status Theorem for theBenchmark.p
% 4.13/1.27
% 4.13/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.13/1.27
% 4.13/1.27
%------------------------------------------------------------------------------