%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CSR027-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/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 01:09:56 PM UTC 2026
% Result : Unsatisfiable 2.21s 1.19s
% Output : CNFRefutation 2.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of formulae : 52 ( 52 unt; 0 def)
% Number of atoms : 52 ( 51 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 : 22 ( 22 usr; 11 con; 0-4 aty)
% Number of variables : 41 ( 0 sgn 41 !; 0 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq3(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f4,axiom,
! [X2,X3,X0,X1] : ifeq3(relationallexists(X0,X1,X2),true,ifeq3(isa(X3,X1),true,isa(f_relationallexistsfn(X3,X0,X1,X2),X2),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).
fof(f5,plain,
! [X2,X3,X0,X1] : true = ifeq3(relationallexists(X0,X1,X2),true,ifeq3(isa(X3,X1),true,isa(f_relationallexistsfn(X3,X0,X1,X2),X2),true),true),
inference(reorient_equations,[],[f4]) ).
fof(f20,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).
fof(f21,plain,
true = genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
inference(reorient_equations,[],[f20]) ).
fof(f26,axiom,
! [X0] : ifeq3(mtvisible(c_tptp_member2610_mt),true,ifeq3(isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).
fof(f27,plain,
! [X0] : true = ifeq3(mtvisible(c_tptp_member2610_mt),true,ifeq3(isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true),true),
inference(reorient_equations,[],[f26]) ).
fof(f28,axiom,
ifeq3(mtvisible(c_tptp_member2610_mt),true,relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just13) ).
fof(f29,plain,
true = ifeq3(mtvisible(c_tptp_member2610_mt),true,relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),true),
inference(reorient_equations,[],[f28]) ).
fof(f30,axiom,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just14) ).
fof(f31,plain,
true = isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
inference(reorient_equations,[],[f30]) ).
fof(f68,axiom,
! [X0] : ifeq3(isa(X0,c_tptpcol_16_31868),true,tptpcol_16_31868(X0),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just34) ).
fof(f69,plain,
! [X0] : true = ifeq3(isa(X0,c_tptpcol_16_31868),true,tptpcol_16_31868(X0),true),
inference(reorient_equations,[],[f68]) ).
fof(f126,axiom,
! [X0,X1] : ifeq3(genlmt(X0,X1),true,ifeq3(mtvisible(X0),true,mtvisible(X1),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just63) ).
fof(f127,plain,
! [X0,X1] : true = ifeq3(genlmt(X0,X1),true,ifeq3(mtvisible(X0),true,mtvisible(X1),true),true),
inference(reorient_equations,[],[f126]) ).
fof(f160,negated_conjecture,
mtvisible(c_tptp_spindlecollectormt) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query27) ).
fof(f161,plain,
true = mtvisible(c_tptp_spindlecollectormt),
inference(reorient_equations,[],[f160]) ).
fof(f164,negated_conjecture,
! [X0] : ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0),tptpcol_16_31868(X0)),tuple2(true,true),a,b) = b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query27_1) ).
fof(f165,plain,
! [X0] : b = ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0),tptpcol_16_31868(X0)),tuple2(true,true),a,b),
inference(reorient_equations,[],[f164]) ).
fof(f166,negated_conjecture,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
tcf(c_134,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq3(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_135,plain,
! [X0: $i,X1: $i,X2: $i] : ifeq2(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[],[f2]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ifeq3(relationallexists(X0,X1,X2),true,ifeq3(isa(X3,X1),true,isa(f_relationallexistsfn(X3,X0,X1,X2),X2),true),true) = true,
inference(cnf_transformation,[],[f5]) ).
tcf(c_145,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt) = true,
inference(cnf_transformation,[],[f21]) ).
tcf(c_148,plain,
! [X0: $i] : ifeq3(mtvisible(c_tptp_member2610_mt),true,ifeq3(isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true),true) = true,
inference(cnf_transformation,[],[f27]) ).
tcf(c_149,plain,
ifeq3(mtvisible(c_tptp_member2610_mt),true,relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),true) = true,
inference(cnf_transformation,[],[f29]) ).
tcf(c_150,plain,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) = true,
inference(cnf_transformation,[],[f31]) ).
tcf(c_169,plain,
! [X0: $i] : ifeq3(isa(X0,c_tptpcol_16_31868),true,tptpcol_16_31868(X0),true) = true,
inference(cnf_transformation,[],[f69]) ).
tcf(c_198,plain,
! [X0: $i,X1: $i] : ifeq3(genlmt(X0,X1),true,ifeq3(mtvisible(X0),true,mtvisible(X1),true),true) = true,
inference(cnf_transformation,[],[f127]) ).
tcf(c_215,negated_conjecture,
mtvisible(c_tptp_spindlecollectormt) = true,
inference(cnf_transformation,[],[f161]) ).
tcf(c_217,negated_conjecture,
! [X0: $i] : ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0),tptpcol_16_31868(X0)),tuple2(true,true),a,b) = b,
inference(cnf_transformation,[],[f165]) ).
tcf(c_218,negated_conjecture,
a != b,
inference(cnf_transformation,[],[f166]) ).
tcf(c_949,plain,
ifeq3(mtvisible(c_tptp_member2610_mt),true,ifeq3(true,true,tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true),true) = true,
inference(superposition,[status(thm)],[c_150,c_148]) ).
tcf(c_954,plain,
ifeq3(mtvisible(c_tptp_member2610_mt),true,tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true) = true,
inference(demodulation,[status(thm)],[c_949,c_134]) ).
tcf(c_1170,plain,
ifeq3(true,true,ifeq3(mtvisible(c_tptp_spindlecollectormt),true,mtvisible(c_tptp_member2610_mt),true),true) = true,
inference(superposition,[status(thm)],[c_145,c_198]) ).
tcf(c_1192,plain,
ifeq3(true,true,ifeq3(true,true,mtvisible(c_tptp_member2610_mt),true),true) = true,
inference(light_normalisation,[status(thm)],[c_1170,c_215]) ).
tcf(c_1209,plain,
mtvisible(c_tptp_member2610_mt) = true,
inference(demodulation,[status(thm)],[c_1192,c_134]) ).
tcf(c_1210,plain,
ifeq3(true,true,relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),true) = true,
inference(demodulation,[status(thm)],[c_149,c_1209]) ).
tcf(c_1211,plain,
ifeq3(true,true,tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true) = true,
inference(demodulation,[status(thm)],[c_954,c_1209]) ).
tcf(c_1243,plain,
relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) = true,
inference(demodulation,[status(thm)],[c_1210,c_134]) ).
tcf(c_1333,plain,
tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) = true,
inference(demodulation,[status(thm)],[c_1211,c_134]) ).
tcf(c_1337,plain,
ifeq2(tuple2(true,tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))),tuple2(true,true),a,b) = b,
inference(superposition,[status(thm)],[c_1333,c_217]) ).
tcf(c_1549,plain,
! [X0: $i] : ifeq3(true,true,ifeq3(isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,isa(f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868),true),true) = true,
inference(superposition,[status(thm)],[c_1243,c_137]) ).
tcf(c_1649,plain,
! [X0: $i] : ifeq3(isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,isa(f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868),true) = true,
inference(demodulation,[status(thm)],[c_1549,c_134]) ).
tcf(c_1650,plain,
ifeq3(true,true,isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868),true) = true,
inference(superposition,[status(thm)],[c_150,c_1649]) ).
tcf(c_1697,plain,
isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868) = true,
inference(demodulation,[status(thm)],[c_1650,c_134]) ).
tcf(c_1702,plain,
ifeq3(true,true,tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true) = true,
inference(superposition,[status(thm)],[c_1697,c_169]) ).
tcf(c_1746,plain,
tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) = true,
inference(demodulation,[status(thm)],[c_1702,c_134]) ).
tcf(c_1748,plain,
ifeq2(tuple2(true,true),tuple2(true,true),a,b) = b,
inference(demodulation,[status(thm)],[c_1337,c_1746]) ).
tcf(c_1754,plain,
a = b,
inference(demodulation,[status(thm)],[c_1748,c_135]) ).
tcf(c_1755,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1754,c_218]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR027-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n013.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Fri Sep 25 08:10:06 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.41 Running UEQ theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.42
% 0.12/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.42
% 0.12/0.42 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 2.21/1.19 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 2.21/1.19 % SZS status Started for theBenchmark.p
% 2.21/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 2.21/1.19
% 2.21/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.21/1.19
% 2.21/1.19 % ------ iProver source info
% 2.21/1.19
% 2.21/1.19 % git: date: 2026-07-19 20:42:38 +0200
% 2.21/1.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.21/1.19 % git: non_committed_changes: false
% 2.21/1.19
% 2.21/1.19 % ------ Parsing...% successful
% 2.21/1.19
% 2.21/1.19
% 2.21/1.19 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.21/1.19
% 2.21/1.19 % ------ 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 %
% 2.21/1.19
% 2.21/1.19 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.21/1.19
% 2.21/1.19 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.21/1.19 % ------ Proving...
% 2.21/1.19 % ------ Problem Properties
% 2.21/1.19
% 2.21/1.19 %
% 2.21/1.19 % clauses 77
% 2.21/1.19 % conjectures 3
% 2.21/1.19 % EPR 1
% 2.21/1.19 % Horn 77
% 2.21/1.19 % unary 77
% 2.21/1.19 % binary 0
% 2.21/1.19 % lits 77
% 2.21/1.19 % lits eq 77
% 2.21/1.19 % fd_pure 0
% 2.21/1.19 % fd_pseudo 0
% 2.21/1.19 % fd_cond 0
% 2.21/1.19 % fd_pseudo_cond 0
% 2.21/1.19 % AC symbols 0
% 2.21/1.19
% 2.21/1.19 % ------ Input Options Time Limit: Unbounded
% 2.21/1.19
% 2.21/1.19
% 2.21/1.19 % ------
% 2.21/1.19 % Current options:
% 2.21/1.19 % ------
% 2.21/1.19
% 2.21/1.19
% 2.21/1.19 %
% 2.21/1.19
% 2.21/1.19 % ------ Proving...
% 2.21/1.19 %
% 2.21/1.19
% 2.21/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 2.21/1.19
% 2.21/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.21/1.19
% 2.21/1.19
%------------------------------------------------------------------------------