TSTP Solution File: CSR027-10 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : CSR027-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n012.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 23:24:18 EDT 2022
% Result : Unsatisfiable 0.48s 0.65s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of clauses : 30 ( 30 unt; 0 nHn; 30 RR)
% Number of literals : 30 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 15 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(ifeq3(u,u,v,w),v),
file('CSR027-10.p',unknown),
[] ).
cnf(2,axiom,
equal(ifeq2(u,u,v,w),v),
file('CSR027-10.p',unknown),
[] ).
cnf(4,axiom,
equal(ifeq3(relationallexists(u,v,w),true__dfg,ifeq3(isa(x,v),true__dfg,isa(f_relationallexistsfn(x,u,v,w),w),true__dfg),true__dfg),true__dfg),
file('CSR027-10.p',unknown),
[] ).
cnf(12,axiom,
equal(genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),true__dfg),
file('CSR027-10.p',unknown),
[] ).
cnf(15,axiom,
equal(ifeq3(mtvisible(c_tptp_member2610_mt),true__dfg,ifeq3(isa(u,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true__dfg,tptp_8_875(u,f_relationallexistsfn(u,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true__dfg),true__dfg),true__dfg),
file('CSR027-10.p',unknown),
[] ).
cnf(16,axiom,
equal(ifeq3(mtvisible(c_tptp_member2610_mt),true__dfg,relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),true__dfg),true__dfg),
file('CSR027-10.p',unknown),
[] ).
cnf(17,axiom,
equal(isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true__dfg),
file('CSR027-10.p',unknown),
[] ).
cnf(36,axiom,
equal(ifeq3(isa(u,c_tptpcol_16_31868),true__dfg,tptpcol_16_31868(u),true__dfg),true__dfg),
file('CSR027-10.p',unknown),
[] ).
cnf(65,axiom,
equal(ifeq3(genlmt(u,v),true__dfg,ifeq3(mtvisible(u),true__dfg,mtvisible(v),true__dfg),true__dfg),true__dfg),
file('CSR027-10.p',unknown),
[] ).
cnf(83,axiom,
equal(mtvisible(c_tptp_spindlecollectormt),true__dfg),
file('CSR027-10.p',unknown),
[] ).
cnf(84,axiom,
equal(ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,u),tptpcol_16_31868(u)),tuple2(true__dfg,true__dfg),a,b),b),
file('CSR027-10.p',unknown),
[] ).
cnf(85,axiom,
~ equal(b,a),
file('CSR027-10.p',unknown),
[] ).
cnf(522,plain,
equal(ifeq3(true__dfg,true__dfg,ifeq3(mtvisible(c_tptp_spindlecollectormt),true__dfg,mtvisible(c_tptp_member2610_mt),true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[12,65]),
[iquote('0:SpR:12.0,65.0')] ).
cnf(539,plain,
equal(mtvisible(c_tptp_member2610_mt),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,522,83]),
[iquote('0:Rew:1.0,522.0,1.0,522.0,83.0,522.0')] ).
cnf(540,plain,
equal(ifeq3(true__dfg,true__dfg,relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[539,16]),
[iquote('0:Rew:539.0,16.0')] ).
cnf(541,plain,
equal(ifeq3(true__dfg,true__dfg,ifeq3(isa(u,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true__dfg,tptp_8_875(u,f_relationallexistsfn(u,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[539,15]),
[iquote('0:Rew:539.0,15.0')] ).
cnf(572,plain,
equal(relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,540]),
[iquote('0:Rew:1.0,540.0')] ).
cnf(576,plain,
equal(ifeq3(isa(u,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true__dfg,tptp_8_875(u,f_relationallexistsfn(u,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,541]),
[iquote('0:Rew:1.0,541.0')] ).
cnf(1150,plain,
equal(ifeq3(true__dfg,true__dfg,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__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[17,576]),
[iquote('0:SpR:17.0,576.0')] ).
cnf(1151,plain,
equal(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__dfg),
inference(rew,[status(thm),theory(equality)],[1,1150]),
[iquote('0:Rew:1.0,1150.0')] ).
cnf(1210,plain,
equal(ifeq3(true__dfg,true__dfg,ifeq3(isa(u,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true__dfg,isa(f_relationallexistsfn(u,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868),true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[572,4]),
[iquote('0:SpR:572.0,4.0')] ).
cnf(1212,plain,
equal(ifeq3(isa(u,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true__dfg,isa(f_relationallexistsfn(u,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1210]),
[iquote('0:Rew:1.0,1210.0')] ).
cnf(1846,plain,
equal(ifeq2(tuple2(true__dfg,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__dfg,true__dfg),a,b),b),
inference(spr,[status(thm),theory(equality)],[1151,84]),
[iquote('0:SpR:1151.0,84.0')] ).
cnf(2082,plain,
equal(ifeq3(true__dfg,true__dfg,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__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[17,1212]),
[iquote('0:SpR:17.0,1212.0')] ).
cnf(2083,plain,
equal(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__dfg),
inference(rew,[status(thm),theory(equality)],[1,2082]),
[iquote('0:Rew:1.0,2082.0')] ).
cnf(2194,plain,
equal(ifeq3(true__dfg,true__dfg,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__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[2083,36]),
[iquote('0:SpR:2083.0,36.0')] ).
cnf(2210,plain,
equal(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__dfg),
inference(rew,[status(thm),theory(equality)],[1,2194]),
[iquote('0:Rew:1.0,2194.0')] ).
cnf(2211,plain,
equal(ifeq2(tuple2(true__dfg,true__dfg),tuple2(true__dfg,true__dfg),a,b),b),
inference(rew,[status(thm),theory(equality)],[2210,1846]),
[iquote('0:Rew:2210.0,1846.0')] ).
cnf(2212,plain,
equal(b,a),
inference(rew,[status(thm),theory(equality)],[2,2211]),
[iquote('0:Rew:2.0,2211.0')] ).
cnf(2213,plain,
$false,
inference(mrr,[status(thm)],[2212,85]),
[iquote('0:MRR:2212.0,85.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CSR027-10 : TPTP v8.1.0. Released v7.3.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n012.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 05:40:42 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.48/0.65
% 0.48/0.65 SPASS V 3.9
% 0.48/0.65 SPASS beiseite: Proof found.
% 0.48/0.65 % SZS status Theorem
% 0.48/0.65 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.65 SPASS derived 1620 clauses, backtracked 0 clauses, performed 0 splits and kept 296 clauses.
% 0.48/0.65 SPASS allocated 64342 KBytes.
% 0.48/0.65 SPASS spent 0:00:00.30 on the problem.
% 0.48/0.65 0:00:00.04 for the input.
% 0.48/0.65 0:00:00.00 for the FLOTTER CNF translation.
% 0.48/0.65 0:00:00.03 for inferences.
% 0.48/0.65 0:00:00.00 for the backtracking.
% 0.48/0.65 0:00:00.20 for the reduction.
% 0.48/0.65
% 0.48/0.65
% 0.48/0.65 Here is a proof with depth 3, length 30 :
% 0.48/0.65 % SZS output start Refutation
% See solution above
% 0.48/0.66 Formulae used in the proof : ifeq_axiom ifeq_axiom_001 just1 just9 just12 just13 just14 just34 just63 query27 query27_1 goal
% 0.48/0.66
%------------------------------------------------------------------------------