%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CSR038-10 : TPTP v9.3.1. Released v7.3.0.
% 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 : Unsatisfiable 3.40s 2.66s
% Output : CNFRefutation 3.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 36 ( 36 unt; 0 def)
% Number of atoms : 36 ( 35 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-4 aty)
% Number of variables : 35 ( 0 sgn 35 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq4(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f3,axiom,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_002) ).
fof(f128,axiom,
! [X2,X3,X0,X1] : ifeq4(relationexistsall(X0,X1,X2),true,ifeq4(isa(X3,X2),true,isa(f_relationexistsallfn(X3,X0,X1,X2),X1),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_64) ).
fof(f129,plain,
! [X2,X3,X0,X1] : true = ifeq4(relationexistsall(X0,X1,X2),true,ifeq4(isa(X3,X2),true,isa(f_relationexistsallfn(X3,X0,X1,X2),X1),true),true),
inference(reorient_equations,[],[f128]) ).
fof(f268,axiom,
isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_134) ).
fof(f269,plain,
true = isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(reorient_equations,[],[f268]) ).
fof(f484,axiom,
! [X0] : ifeq4(isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),true,tptp_8_968(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X0),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_244) ).
fof(f485,plain,
! [X0] : true = ifeq4(isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),true,tptp_8_968(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X0),true),
inference(reorient_equations,[],[f484]) ).
fof(f486,axiom,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_245) ).
fof(f487,plain,
true = relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(reorient_equations,[],[f486]) ).
fof(f1334,axiom,
! [X0] : ifeq4(isa(X0,c_tptpcol_16_7738),true,tptpcol_16_7738(X0),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_673) ).
fof(f1335,plain,
! [X0] : true = ifeq4(isa(X0,c_tptpcol_16_7738),true,tptpcol_16_7738(X0),true),
inference(reorient_equations,[],[f1334]) ).
fof(f2268,negated_conjecture,
! [X0] : ifeq2(tuple2(tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804),tptpcol_16_7738(X0)),tuple2(true,true),a,b) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query88_1) ).
fof(f2269,plain,
! [X0] : b = ifeq2(tuple2(tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804),tptpcol_16_7738(X0)),tuple2(true,true),a,b),
inference(reorient_equations,[],[f2268]) ).
fof(f2270,negated_conjecture,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
tcf(c_1187,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq4(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_1189,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq2(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[],[f3]) ).
tcf(c_1253,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq4(relationexistsall(X0,X1,X2),true,ifeq4(isa(X3,X2),true,isa(f_relationexistsallfn(X3,X0,X1,X2),X1),true),true) = true,
inference(cnf_transformation,[],[f129]) ).
tcf(c_1323,plain,
isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) = true,
inference(cnf_transformation,[],[f269]) ).
tcf(c_1431,plain,
! [X0: $i] : ifeq4(isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),true,tptp_8_968(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X0),true) = true,
inference(cnf_transformation,[],[f485]) ).
tcf(c_1432,plain,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) = true,
inference(cnf_transformation,[],[f487]) ).
tcf(c_1856,plain,
! [X0: $i] : ifeq4(isa(X0,c_tptpcol_16_7738),true,tptpcol_16_7738(X0),true) = true,
inference(cnf_transformation,[],[f1335]) ).
tcf(c_2323,negated_conjecture,
! [X0: $i] : ifeq2(tuple2(tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804),tptpcol_16_7738(X0)),tuple2(true,true),a,b) = b,
inference(cnf_transformation,[],[f2269]) ).
tcf(c_2324,negated_conjecture,
a != b,
inference(cnf_transformation,[],[f2270]) ).
tcf(c_10520,plain,
ifeq4(true,true,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),true) = true,
inference(superposition,[status(thm)],[c_1323,c_1431]) ).
tcf(c_10523,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) = true,
inference(demodulation,[status(thm)],[c_10520,c_1187]) ).
tcf(c_10525,plain,
ifeq2(tuple2(true,tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)))),tuple2(true,true),a,b) = b,
inference(superposition,[status(thm)],[c_10523,c_2323]) ).
tcf(c_10646,plain,
! [X0: $i] : ifeq4(true,true,ifeq4(isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),true,isa(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738),true),true) = true,
inference(superposition,[status(thm)],[c_1432,c_1253]) ).
tcf(c_10660,plain,
! [X0: $i] : ifeq4(isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),true,isa(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738),true) = true,
inference(demodulation,[status(thm)],[c_10646,c_1187]) ).
tcf(c_10661,plain,
ifeq4(true,true,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),true) = true,
inference(superposition,[status(thm)],[c_1323,c_10660]) ).
tcf(c_10664,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) = true,
inference(demodulation,[status(thm)],[c_10661,c_1187]) ).
tcf(c_10668,plain,
ifeq4(true,true,tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))),true) = true,
inference(superposition,[status(thm)],[c_10664,c_1856]) ).
tcf(c_10679,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))) = true,
inference(demodulation,[status(thm)],[c_10668,c_1187]) ).
tcf(c_10681,plain,
ifeq2(tuple2(true,true),tuple2(true,true),a,b) = b,
inference(demodulation,[status(thm)],[c_10525,c_10679]) ).
tcf(c_11216,plain,
a = b,
inference(demodulation,[status(thm)],[c_10681,c_1189]) ).
tcf(c_11217,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_11216,c_2324]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR038-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n013.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Fri Sep 25 08:21:36 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.42 Running UEQ theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.44 % Detected problem language: tptp
% 0.10/0.45 % Proving...
% 3.40/2.66 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 3.40/2.66 % SZS status Started for theBenchmark.p
% 3.40/2.66 % SZS status Unsatisfiable for theBenchmark.p
% 3.40/2.66
% 3.40/2.66 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.40/2.66
% 3.40/2.66 % ------ iProver source info
% 3.40/2.66
% 3.40/2.66 % git: date: 2026-07-19 20:42:38 +0200
% 3.40/2.66 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.40/2.66 % git: non_committed_changes: false
% 3.40/2.66
% 3.40/2.66 % ------ Parsing...% successful
% 3.40/2.66
% 3.40/2.66
% 3.40/2.66 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.40/2.66
% 3.40/2.66 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.40/2.66
% 3.40/2.66 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.40/2.66
% 3.40/2.66 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.40/2.66 % ------ Proving...
% 3.40/2.66 % ------ Problem Properties
% 3.40/2.66
% 3.40/2.66 %
% 3.40/2.66 % clauses 1107
% 3.40/2.66 % conjectures 3
% 3.40/2.66 % EPR 1
% 3.40/2.66 % Horn 1107
% 3.40/2.66 % unary 1107
% 3.40/2.66 % binary 0
% 3.40/2.66 % lits 1107
% 3.40/2.66 % lits eq 1107
% 3.40/2.66 % fd_pure 0
% 3.40/2.66 % fd_pseudo 0
% 3.40/2.66 % fd_cond 0
% 3.40/2.66 % fd_pseudo_cond 0
% 3.40/2.66 % AC symbols 0
% 3.40/2.66
% 3.40/2.66 % ------ Input Options Time Limit: Unbounded
% 3.40/2.66
% 3.40/2.66
% 3.40/2.66 % ------
% 3.40/2.66 % Current options:
% 3.40/2.66 % ------
% 3.40/2.66
% 3.40/2.66
% 3.40/2.66 %
% 3.40/2.66
% 3.40/2.66 % ------ Proving...
% 3.40/2.66 %
% 3.40/2.66
% 3.40/2.66 % SZS status Unsatisfiable for theBenchmark.p
% 3.40/2.66
% 3.40/2.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.40/2.66
% 3.40/2.66
%------------------------------------------------------------------------------