0.00/0.05	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.06	% Command  : run_iprover 180 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
0.18/0.42	% Computer : n002.cluster.edu
0.18/0.42	% Model    : x86_64 x86_64
0.18/0.42	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.18/0.42	% Memory   : 8046.5625MB
0.18/0.42	% OS       : Linux 6.8.0-71-generic
0.18/0.42	% CPULimit : 1440
0.18/0.42	% WCLimit  : 180
0.18/0.42	% DateTime : Mon Jul 27 10:15:59 UTC 2026
0.18/0.42	% CPUTime  : 
0.18/0.42	Running run_iprover 180 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
0.18/0.47	/export/starexec/sandbox2/solver/bin/SPCForProblem: Command not found.
0.24/0.48	Running first-order theorem proving
0.24/0.48	Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 180 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.24/0.50	
0.24/0.50	% ======== iProver multi-core TPTP/SMT =========
0.24/0.50	
0.24/0.50	% Detected problem language: tptp
0.24/0.52	% Proving...
64.11/15.30	% SZS status Started for theBenchmark.p
64.11/15.30	% SZS status Theorem for theBenchmark.p
64.11/15.30	
64.11/15.30	%---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
64.11/15.30	
64.11/15.30	% ------  iProver source info
64.11/15.30	
64.11/15.30	% git: date: 2026-07-19 20:42:38 +0200
64.11/15.30	% git: sha1: 804e7d636a263075307957e923b7a22a4035de61
64.11/15.30	% git: non_committed_changes: false
64.11/15.30	
64.11/15.30	% ------ Parsing...
64.11/15.30	% ------ Clausification by vclausify_rel  & Parsing by iProver...% 
64.11/15.30	
64.11/15.30	% ------ Preprocessing... sf_s  rm: 0 0s  sf_e % 
64.11/15.30	
64.11/15.30	% ------ Preprocessing...
64.11/15.30	% ------ Proving...
64.11/15.30	% ------ Problem Properties 
64.11/15.30	
64.11/15.30	% 
64.11/15.30	% clauses                               48
64.11/15.30	% conjectures                           6
64.11/15.30	% EPR                                   21
64.11/15.30	% Horn                                  44
64.11/15.30	% unary                                 24
64.11/15.30	% binary                                13
64.11/15.30	% lits                                  94
64.11/15.30	% lits eq                               0
64.11/15.30	% fd_pure                               0
64.11/15.30	% fd_pseudo                             0
64.11/15.30	% fd_cond                               0
64.11/15.30	% fd_pseudo_cond                        0
64.11/15.30	% AC symbols                            0
64.11/15.30	
64.11/15.30	% ------ Input Options Time Limit: Unbounded
64.11/15.30	
64.11/15.30	
64.11/15.30	% ------ 
64.11/15.30	% Current options:
64.11/15.30	% ------ 
64.11/15.30	
64.11/15.30	
64.11/15.30	% 
64.11/15.30	
64.11/15.30	% ------ Proving...
64.11/15.30	% 
64.11/15.30	
64.11/15.30	% SZS status Theorem for theBenchmark.p
64.11/15.30	
64.11/15.30	% SZS output start CNFRefutation for theBenchmark.p
64.11/15.30	
64.11/15.30	fof(f1,axiom,(
64.11/15.30	  ! [X0] : ? [X1] : ! [X2] : ((~id(X2,X1) & ~r2(X0,X2)) | (id(X2,X1) & r2(X0,X2)))),
64.11/15.30	  file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_2)).
64.11/15.30	
64.11/15.30	fof(f2,axiom,(
64.11/15.30	  ! [X0,X1,X2] : (~id(X0,X1) | id(X0,X2) | ~id(X1,X2))),
64.11/15.30	  file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_7)).
64.11/15.30	
64.11/15.30	fof(f5,axiom,(
64.11/15.30	  ! [X0,X1] : (~id(X0,X1) | (r1(X1) & r1(X0)) | (~r1(X0) & ~r1(X1)))),
64.11/15.30	  file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_8)).
64.11/15.30	
64.11/15.30	fof(f6,axiom,(
64.11/15.30	  ! [X0,X1] : (~r2(X0,X1) | ! [X2] : (~id(X2,X1) | ~r1(X2)))),
64.11/15.30	  file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_7a)).
64.11/15.30	
64.11/15.30	fof(f8,axiom,(
64.11/15.30	  ! [X0,X1,X2,X3] : (~id(X0,X2) | ~id(X1,X3) | (~r2(X2,X3) & ~r2(X0,X1)) | (r2(X2,X3) & r2(X0,X1)))),
64.11/15.30	  file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_9)).
64.11/15.30	
64.11/15.30	fof(f9,axiom,(
64.11/15.30	  ! [X0,X1] : ? [X2] : ! [X3] : ((r3(X0,X1,X3) & id(X3,X2)) | (~r3(X0,X1,X3) & ~id(X3,X2)))),
64.11/15.30	  file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_3)).
64.11/15.30	
64.11/15.30	fof(f10,axiom,(
64.11/15.30	  ! [X0] : id(X0,X0)),
64.11/15.30	  file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_5)).
64.11/15.30	
64.11/15.30	fof(f11,axiom,(
64.11/15.30	  ! [X0] : ? [X1] : (id(X1,X0) & ? [X2] : (r1(X2) & r3(X0,X2,X1)))),
64.11/15.30	  file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_4a)).
64.11/15.30	
64.11/15.30	fof(f12,axiom,(
64.11/15.30	  ! [X0,X1,X2,X3,X4,X5] : (~id(X1,X4) | ~id(X2,X5) | (r3(X0,X1,X2) & r3(X3,X4,X5)) | (~r3(X0,X1,X2) & ~r3(X3,X4,X5)) | ~id(X0,X3))),
64.11/15.30	  file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_10)).
64.11/15.30	
64.11/15.30	fof(f13,axiom,(
64.11/15.30	  ? [X0] : ! [X1] : ((~r1(X1) & ~id(X1,X0)) | (id(X1,X0) & r1(X1)))),
64.11/15.30	  file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_1)).
64.11/15.30	
64.11/15.30	fof(f14,axiom,(
64.11/15.30	  ! [X0,X1] : ? [X2] : (? [X3] : (? [X4] : (r3(X0,X4,X3) & r2(X1,X4)) & id(X3,X2)) & ? [X5] : (r3(X0,X1,X5) & r2(X5,X2)))),
64.11/15.30	  file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_1a)).
64.11/15.30	
64.11/15.30	fof(f17,axiom,(
64.11/15.30	  ! [X0,X1] : (id(X1,X0) | ~id(X0,X1))),
64.11/15.30	  file('/export/starexec/sandbox2/benchmark/Axioms/NUM009+0.ax',axiom_6)).
64.11/15.30	
64.11/15.30	fof(f19,conjecture,(
64.11/15.30	  ! [X0] : (! [X1] : (~id(X0,X1) | ~r1(X1)) | ! [X2] : (! [X3] : (~r2(X3,X2) | ~r1(X3)) | ! [X4] : (~r1(X4) | ~r3(X4,X2,X0))))),
64.11/15.30	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zeroplusoneidzero)).
64.11/15.30	
64.11/15.30	fof(f20,negated_conjecture,(
64.11/15.30	  ~ ! [X0] : (! [X1] : (~id(X0,X1) | ~r1(X1)) | ! [X2] : (! [X3] : (~r2(X3,X2) | ~r1(X3)) | ! [X4] : (~r1(X4) | ~r3(X4,X2,X0))))),
64.11/15.30	  inference(negated_conjecture,[status(cth)],[f19])).
64.11/15.30	
64.11/15.30	fof(f21,plain,(
64.11/15.30	  ? [X0] : (? [X1] : (id(X0,X1) & r1(X1)) & ? [X2] : (? [X3] : (r2(X3,X2) & r1(X3)) & ? [X4] : (r1(X4) & r3(X4,X2,X0))))),
64.11/15.30	  inference(ennf_transformation,[],[f20])).
64.11/15.30	
64.11/15.30	fof(f22,plain,(
64.11/15.30	  ! [X0] : ! [X2] : ((~id(X2,sK0(X0)) & ~r2(X0,X2)) | (id(X2,sK0(X0)) & r2(X0,X2)))),
64.11/15.30	  inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f1])).
64.11/15.30	
64.11/15.30	fof(f25,plain,(
64.11/15.30	  ! [X0,X1] : ! [X3] : ((r3(X0,X1,X3) & id(X3,sK6(X0,X1))) | (~r3(X0,X1,X3) & ~id(X3,sK6(X0,X1))))),
64.11/15.30	  inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0,X1))],[f9])).
64.11/15.30	
64.11/15.30	fof(f26,plain,(
64.11/15.30	  ! [X0] : (id(sK7(X0),X0) & (r1(sK8(X0)) & r3(X0,sK8(X0),sK7(X0))))),
64.11/15.30	  inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X1,sK7(X0)),skolemize(X2,sK8(X0))],[f11])).
64.11/15.30	
64.11/15.30	fof(f27,plain,(
64.11/15.30	  ! [X1] : ((~r1(X1) & ~id(X1,sK9)) | (id(X1,sK9) & r1(X1)))),
64.11/15.30	  inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X0,sK9)],[f13])).
64.11/15.30	
64.11/15.30	fof(f28,plain,(
64.11/15.30	  ! [X0,X1] : (((r3(X0,sK12(X0,X1),sK11(X0,X1)) & r2(X1,sK12(X0,X1))) & id(sK11(X0,X1),sK10(X0,X1))) & (r3(X0,X1,sK13(X0,X1)) & r2(sK13(X0,X1),sK10(X0,X1))))),
64.11/15.30	  inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13]),skolemize(X2,sK10(X0,X1)),skolemize(X3,sK11(X0,X1)),skolemize(X4,sK12(X0,X1)),skolemize(X5,sK13(X0,X1))],[f14])).
64.11/15.30	
64.11/15.30	fof(f31,plain,(
64.11/15.30	  (id(sK20,sK21) & r1(sK21)) & ((r2(sK23,sK22) & r1(sK23)) & (r1(sK24) & r3(sK24,sK22,sK20)))),
64.11/15.30	  inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24)],[f21])).
64.11/15.30	
64.11/15.30	fof(f33,plain,(
64.11/15.30	  ( ! [X2,X0] : (~r2(X0,X2) | id(X2,sK0(X0))) )),
64.11/15.30	  inference(cnf_transformation,[],[f22])).
64.11/15.30	
64.11/15.30	fof(f36,plain,(
64.11/15.30	  ( ! [X2,X0,X1] : (~id(X0,X1) | id(X0,X2) | ~id(X1,X2)) )),
64.11/15.30	  inference(cnf_transformation,[],[f2])).
64.11/15.30	
64.11/15.30	fof(f46,plain,(
64.11/15.30	  ( ! [X0,X1] : (~id(X0,X1) | r1(X0) | ~r1(X1)) )),
64.11/15.30	  inference(cnf_transformation,[],[f5])).
64.11/15.30	
64.11/15.30	fof(f49,plain,(
64.11/15.30	  ( ! [X0,X1] : (~id(X0,X1) | r1(X1) | ~r1(X0)) )),
64.11/15.30	  inference(cnf_transformation,[],[f5])).
64.11/15.30	
64.11/15.30	fof(f50,plain,(
64.11/15.30	  ( ! [X2,X0,X1] : (~r2(X0,X1) | ~id(X2,X1) | ~r1(X2)) )),
64.11/15.30	  inference(cnf_transformation,[],[f6])).
64.11/15.30	
64.11/15.30	fof(f54,plain,(
64.11/15.30	  ( ! [X2,X3,X0,X1] : (~id(X0,X2) | ~id(X1,X3) | ~r2(X2,X3) | r2(X0,X1)) )),
64.11/15.30	  inference(cnf_transformation,[],[f8])).
64.11/15.30	
64.11/15.30	fof(f57,plain,(
64.11/15.30	  ( ! [X3,X0,X1] : (id(X3,sK6(X0,X1)) | ~r3(X0,X1,X3)) )),
64.11/15.30	  inference(cnf_transformation,[],[f25])).
64.11/15.30	
64.11/15.30	fof(f60,plain,(
64.11/15.30	  ( ! [X0] : (id(X0,X0)) )),
64.11/15.30	  inference(cnf_transformation,[],[f10])).
64.11/15.30	
64.11/15.30	fof(f63,plain,(
64.11/15.30	  ( ! [X0] : (id(sK7(X0),X0)) )),
64.11/15.30	  inference(cnf_transformation,[],[f26])).
64.11/15.30	
64.11/15.30	fof(f65,plain,(
64.11/15.30	  ( ! [X2,X3,X0,X1,X4,X5] : (~id(X1,X4) | ~id(X2,X5) | r3(X3,X4,X5) | ~r3(X0,X1,X2) | ~id(X0,X3)) )),
64.11/15.30	  inference(cnf_transformation,[],[f12])).
64.11/15.30	
64.11/15.30	fof(f71,plain,(
64.11/15.30	  ( ! [X1] : (~r1(X1) | id(X1,sK9)) )),
64.11/15.30	  inference(cnf_transformation,[],[f27])).
64.11/15.30	
64.11/15.30	fof(f72,plain,(
64.11/15.30	  ( ! [X0,X1] : (r2(sK13(X0,X1),sK10(X0,X1))) )),
64.11/15.30	  inference(cnf_transformation,[],[f28])).
64.11/15.30	
64.11/15.30	fof(f74,plain,(
64.11/15.30	  ( ! [X0,X1] : (id(sK11(X0,X1),sK10(X0,X1))) )),
64.11/15.30	  inference(cnf_transformation,[],[f28])).
64.11/15.30	
64.11/15.30	fof(f75,plain,(
64.11/15.30	  ( ! [X0,X1] : (r2(X1,sK12(X0,X1))) )),
64.11/15.30	  inference(cnf_transformation,[],[f28])).
64.11/15.30	
64.11/15.30	fof(f76,plain,(
64.11/15.30	  ( ! [X0,X1] : (r3(X0,sK12(X0,X1),sK11(X0,X1))) )),
64.11/15.30	  inference(cnf_transformation,[],[f28])).
64.11/15.30	
64.11/15.30	fof(f85,plain,(
64.11/15.30	  ( ! [X0,X1] : (id(X1,X0) | ~id(X0,X1)) )),
64.11/15.30	  inference(cnf_transformation,[],[f17])).
64.11/15.30	
64.11/15.30	fof(f90,plain,(
64.11/15.30	  r3(sK24,sK22,sK20)),
64.11/15.30	  inference(cnf_transformation,[],[f31])).
64.11/15.30	
64.11/15.30	fof(f91,plain,(
64.11/15.30	  r1(sK24)),
64.11/15.30	  inference(cnf_transformation,[],[f31])).
64.11/15.30	
64.11/15.30	fof(f92,plain,(
64.11/15.30	  r1(sK23)),
64.11/15.30	  inference(cnf_transformation,[],[f31])).
64.11/15.30	
64.11/15.30	fof(f93,plain,(
64.11/15.30	  r2(sK23,sK22)),
64.11/15.30	  inference(cnf_transformation,[],[f31])).
64.11/15.30	
64.11/15.30	fof(f94,plain,(
64.11/15.30	  r1(sK21)),
64.11/15.30	  inference(cnf_transformation,[],[f31])).
64.11/15.30	
64.11/15.30	fof(f95,plain,(
64.11/15.30	  id(sK20,sK21)),
64.11/15.30	  inference(cnf_transformation,[],[f31])).
64.11/15.30	
64.11/15.30	tcf(c_50,plain,![X0:$i,X1:$i]:  
64.11/15.30	    (~r2(X0,X1)|id(X1,sK0(X0))),
64.11/15.30	    inference(cnf_transformation,[],[f33])).
64.11/15.30	
64.11/15.30	tcf(c_51,plain,![X0:$i,X1:$i,X2:$i]:  
64.11/15.30	    (~id(X0,X1)|~id(X1,X2)|id(X0,X2)),
64.11/15.30	    inference(cnf_transformation,[],[f36])).
64.11/15.30	
64.11/15.30	tcf(c_59,plain,![X0:$i,X1:$i]:  
64.11/15.30	    (~id(X0,X1)|~r1(X0)|r1(X1)),
64.11/15.30	    inference(cnf_transformation,[],[f49])).
64.11/15.30	
64.11/15.30	tcf(c_60,plain,![X0:$i,X1:$i]:  
64.11/15.30	    (~id(X0,X1)|~r1(X1)|r1(X0)),
64.11/15.30	    inference(cnf_transformation,[],[f46])).
64.11/15.30	
64.11/15.30	tcf(c_61,plain,![X0:$i,X1:$i,X2:$i]:  
64.11/15.30	    (~id(X0,X1)|~r2(X2,X1)|~r1(X0)),
64.11/15.30	    inference(cnf_transformation,[],[f50])).
64.11/15.30	
64.11/15.30	tcf(c_63,plain,![X0:$i,X1:$i,X2:$i,X3:$i]:  
64.11/15.30	    (~id(X0,X1)|~id(X2,X3)|~r2(X1,X3)|r2(X0,X2)),
64.11/15.30	    inference(cnf_transformation,[],[f54])).
64.11/15.30	
64.11/15.30	tcf(c_66,plain,![X0:$i,X1:$i,X2:$i]:  
64.11/15.30	    (~r3(X0,X1,X2)|id(X2,sK6(X0,X1))),
64.11/15.30	    inference(cnf_transformation,[],[f57])).
64.11/15.30	
64.11/15.30	tcf(c_67,plain,![X0:$i]:  
64.11/15.30	    (id(X0,X0)),
64.11/15.30	    inference(cnf_transformation,[],[f60])).
64.11/15.30	
64.11/15.30	tcf(c_68,plain,![X0:$i]:  
64.11/15.30	    (id(sK7(X0),X0)),
64.11/15.30	    inference(cnf_transformation,[],[f63])).
64.11/15.30	
64.11/15.30	tcf(c_72,plain,![X0:$i,X1:$i,X2:$i,X3:$i,X4:$i,X5:$i]:  
64.11/15.30	    (~r3(X0,X1,X2)|~id(X0,X4)|~id(X1,X5)|~id(X2,X3)|r3(X4,X5,X3)),
64.11/15.30	    inference(cnf_transformation,[],[f65])).
64.11/15.30	
64.11/15.30	tcf(c_73,plain,![X0:$i]:  
64.11/15.30	    (~r1(X0)|id(X0,sK9)),
64.11/15.30	    inference(cnf_transformation,[],[f71])).
64.11/15.30	
64.11/15.30	tcf(c_75,plain,![X0:$i,X1:$i]:  
64.11/15.30	    (r3(X0,sK12(X0,X1),sK11(X0,X1))),
64.11/15.30	    inference(cnf_transformation,[],[f76])).
64.11/15.30	
64.11/15.30	tcf(c_76,plain,![X0:$i,X1:$i]:  
64.11/15.30	    (r2(X0,sK12(X1,X0))),
64.11/15.30	    inference(cnf_transformation,[],[f75])).
64.11/15.30	
64.11/15.30	tcf(c_77,plain,![X0:$i,X1:$i]:  
64.11/15.30	    (id(sK11(X0,X1),sK10(X0,X1))),
64.11/15.30	    inference(cnf_transformation,[],[f74])).
64.11/15.30	
64.11/15.30	tcf(c_79,plain,![X0:$i,X1:$i]:  
64.11/15.30	    (r2(sK13(X0,X1),sK10(X0,X1))),
64.11/15.30	    inference(cnf_transformation,[],[f72])).
64.11/15.30	
64.11/15.30	tcf(c_88,plain,![X0:$i,X1:$i]:  
64.11/15.30	    (~id(X0,X1)|id(X1,X0)),
64.11/15.30	    inference(cnf_transformation,[],[f85])).
64.11/15.30	
64.11/15.30	tcf(c_91,negated_conjecture, 
64.11/15.30	    (id(sK20,sK21)),
64.11/15.30	    inference(cnf_transformation,[],[f95])).
64.11/15.30	
64.11/15.30	tcf(c_92,negated_conjecture, 
64.11/15.30	    (r1(sK21)),
64.11/15.30	    inference(cnf_transformation,[],[f94])).
64.11/15.30	
64.11/15.30	tcf(c_93,negated_conjecture, 
64.11/15.30	    (r2(sK23,sK22)),
64.11/15.30	    inference(cnf_transformation,[],[f93])).
64.11/15.30	
64.11/15.30	tcf(c_94,negated_conjecture, 
64.11/15.30	    (r1(sK23)),
64.11/15.30	    inference(cnf_transformation,[],[f92])).
64.11/15.30	
64.11/15.30	tcf(c_95,negated_conjecture, 
64.11/15.30	    (r1(sK24)),
64.11/15.30	    inference(cnf_transformation,[],[f91])).
64.11/15.30	
64.11/15.30	tcf(c_96,negated_conjecture, 
64.11/15.30	    (r3(sK24,sK22,sK20)),
64.11/15.30	    inference(cnf_transformation,[],[f90])).
64.11/15.30	
64.11/15.30	tcf(c_103,plain, 
64.11/15.30	    (r2(sK20,sK12(sK20,sK20))),
64.11/15.30	    inference(instantiation,[status(thm)],[c_76])).
64.11/15.30	
64.11/15.30	tcf(c_137,plain, 
64.11/15.30	    (~r1(sK23)|id(sK23,sK9)),
64.11/15.30	    inference(instantiation,[status(thm)],[c_73])).
64.11/15.30	
64.11/15.30	tcf(c_138,plain, 
64.11/15.30	    (~r1(sK24)|id(sK24,sK9)),
64.11/15.30	    inference(instantiation,[status(thm)],[c_73])).
64.11/15.30	
64.11/15.30	tcf(c_159,plain,![X0:$i,X1:$i]:  
64.11/15.30	    (~r2(X0,sK12(X1,X0))|id(sK12(X1,X0),sK0(X0))),
64.11/15.30	    inference(instantiation,[status(thm)],[c_50])).
64.11/15.30	
64.11/15.30	tcf(c_160,plain, 
64.11/15.30	    (~r2(sK20,sK12(sK20,sK20))|id(sK12(sK20,sK20),sK0(sK20))),
64.11/15.30	    inference(instantiation,[status(thm)],[c_159])).
64.11/15.30	
64.11/15.30	tcf(c_192,plain,![X0:$i]:  
64.11/15.30	    (~id(X0,sK21)|~r1(sK21)|r1(X0)),
64.11/15.30	    inference(instantiation,[status(thm)],[c_60])).
64.11/15.30	
64.11/15.30	tcf(c_193,plain, 
64.11/15.30	    (~id(sK20,sK21)|~r1(sK21)|r1(sK20)),
64.11/15.30	    inference(instantiation,[status(thm)],[c_192])).
64.11/15.30	
64.11/15.30	tcf(c_288,plain,![X0:$i,X1:$i,X2:$i]:  
64.11/15.30	    (~r2(sK13(X0,X1),sK10(X0,X1))|~id(X2,sK10(X0,X1))|~r1(X2)),
64.11/15.30	    inference(instantiation,[status(thm)],[c_61])).
64.11/15.30	
64.11/15.30	tcf(c_298,plain,![X0:$i,X1:$i]:  
64.11/15.30	    (~id(X0,sK23)|~id(X1,sK22)|~r2(sK23,sK22)|r2(X0,X1)),
64.11/15.30	    inference(instantiation,[status(thm)],[c_63])).
64.11/15.30	
64.11/15.30	tcf(c_396,plain,![X0:$i]:  
64.11/15.30	    (id(X0,sK7(X0))),
64.11/15.30	    inference(resolution,[status(thm)],[c_88,c_68])).
64.11/15.30	
64.11/15.30	tcf(c_398,plain,![X0:$i]:  
64.11/15.30	    (~r1(X0)|id(sK9,X0)),
64.11/15.30	    inference(resolution,[status(thm)],[c_88,c_73])).
64.11/15.30	
64.11/15.30	tcf(c_399,plain, 
64.11/15.30	    (~r1(sK20)|id(sK9,sK20)),
64.11/15.30	    inference(instantiation,[status(thm)],[c_398])).
64.11/15.30	
64.11/15.30	tcf(c_514,plain, 
64.11/15.30	    (id(sK22,sK22)),
64.11/15.30	    inference(instantiation,[status(thm)],[c_67])).
64.11/15.30	
64.11/15.30	tcf(c_634,plain,![X0:$i,X1:$i]:  
64.11/15.30	    (~id(X0,X1)|~id(sK23,X0)|id(sK23,X1)),
64.11/15.30	    inference(instantiation,[status(thm)],[c_51])).
64.11/15.30	
64.11/15.30	tcf(c_675,plain,![X0:$i,X1:$i]:  
64.11/15.30	    (~id(X0,X1)|~id(sK24,X0)|id(sK24,X1)),
64.11/15.30	    inference(instantiation,[status(thm)],[c_51])).
64.11/15.30	
64.11/15.30	tcf(c_756,plain,![X0:$i,X1:$i]:  
64.11/15.30	    (~id(X0,sK0(X1))|id(sK0(X1),X0)),
64.11/15.30	    inference(instantiation,[status(thm)],[c_88])).
64.11/15.30	
64.11/15.30	tcf(c_972,plain,![X0:$i,X1:$i]:  
64.11/15.30	    (~r1(sK11(X0,X1))|r1(sK10(X0,X1))),
64.11/15.30	    inference(resolution,[status(thm)],[c_59,c_77])).
64.11/15.30	
64.11/15.30	tcf(c_985,plain,![X0:$i]:  
64.11/15.30	    (~r1(X0)|r1(sK7(X0))),
64.11/15.30	    inference(resolution,[status(thm)],[c_59,c_396])).
64.11/15.30	
64.11/15.30	tcf(c_986,plain, 
64.11/15.30	    (~r1(sK20)|r1(sK7(sK20))),
64.11/15.30	    inference(instantiation,[status(thm)],[c_985])).
64.11/15.30	
64.11/15.30	tcf(c_1182,plain,![X0:$i,X1:$i]:  
64.11/15.30	    (~id(sK10(X0,X1),sK10(X0,X1))|~r2(sK13(X0,X1),sK10(X0,X1))|~r1(sK10(X0,X1))),
64.11/15.30	    inference(instantiation,[status(thm)],[c_288])).
64.11/15.30	
64.11/15.30	tcf(c_1183,plain,![X0:$i,X1:$i]:  
64.11/15.30	    (id(sK10(X0,X1),sK10(X0,X1))),
64.11/15.30	    inference(instantiation,[status(thm)],[c_67])).
64.11/15.30	
64.11/15.30	tcf(c_1628,plain,![X0:$i,X1:$i,X2:$i]:  
64.11/15.30	    (~r3(X0,X1,X2)|~r1(X2)|r1(sK6(X0,X1))),
64.11/15.30	    inference(resolution,[status(thm)],[c_66,c_59])).
64.11/15.30	
64.11/15.30	tcf(c_1629,plain,![X0:$i,X1:$i,X2:$i]:  
64.11/15.30	    (~r3(X0,X1,X2)|~r1(sK6(X0,X1))|r1(X2)),
64.11/15.30	    inference(resolution,[status(thm)],[c_66,c_60])).
64.11/15.30	
64.11/15.30	tcf(c_1929,plain,![X0:$i]:  
64.11/15.30	    (~id(X0,sK23)|~id(sK22,sK22)|~r2(sK23,sK22)|r2(X0,sK22)),
64.11/15.30	    inference(instantiation,[status(thm)],[c_298])).
64.11/15.30	
64.11/15.30	tcf(c_1930,plain, 
64.11/15.30	    (~id(sK20,sK23)|~id(sK22,sK22)|~r2(sK23,sK22)|r2(sK20,sK22)),
64.11/15.30	    inference(instantiation,[status(thm)],[c_1929])).
64.11/15.30	
64.11/15.30	tcf(c_2026,plain,![X0:$i]:  
64.11/15.30	    (~id(sK23,X0)|id(X0,sK23)),
64.11/15.30	    inference(instantiation,[status(thm)],[c_88])).
64.11/15.30	
64.11/15.30	tcf(c_2027,plain, 
64.11/15.30	    (~id(sK23,sK20)|id(sK20,sK23)),
64.11/15.30	    inference(instantiation,[status(thm)],[c_2026])).
64.11/15.30	
64.11/15.30	tcf(c_2316,plain,![X0:$i]:  
64.11/15.30	    (~id(sK9,X0)|~id(sK23,sK9)|id(sK23,X0)),
64.11/15.30	    inference(instantiation,[status(thm)],[c_634])).
64.11/15.30	
64.11/15.30	tcf(c_2320,plain, 
64.11/15.30	    (~id(sK9,sK20)|~id(sK23,sK9)|id(sK23,sK20)),
64.11/15.30	    inference(instantiation,[status(thm)],[c_2316])).
64.11/15.30	
64.11/15.30	tcf(c_2339,plain,![X0:$i]:  
64.11/15.30	    (~id(sK9,X0)|~id(sK24,sK9)|id(sK24,X0)),
64.11/15.30	    inference(instantiation,[status(thm)],[c_675])).
64.11/15.30	
64.11/15.30	tcf(c_2343,plain, 
64.11/15.30	    (~id(sK9,sK20)|~id(sK24,sK9)|id(sK24,sK20)),
64.11/15.30	    inference(instantiation,[status(thm)],[c_2339])).
64.11/15.30	
64.11/15.30	tcf(c_2761,plain,![X0:$i,X1:$i]:  
64.11/15.30	    (~id(sK12(X0,X1),sK0(X1))|id(sK0(X1),sK12(X0,X1))),
64.11/15.30	    inference(instantiation,[status(thm)],[c_756])).
64.11/15.30	
64.11/15.30	tcf(c_2762,plain, 
64.11/15.30	    (~id(sK12(sK20,sK20),sK0(sK20))|id(sK0(sK20),sK12(sK20,sK20))),
64.11/15.30	    inference(instantiation,[status(thm)],[c_2761])).
64.11/15.30	
64.11/15.30	tcf(c_3620,plain,![X0:$i,X1:$i,X2:$i]:  
64.11/15.30	    (~id(sK20,X0)|~id(sK22,X1)|~id(sK24,X2)|r3(X2,X1,X0)),
64.11/15.30	    inference(resolution,[status(thm)],[c_72,c_96])).
64.11/15.30	
64.11/15.30	tcf(c_7587,plain,![X0:$i]:  
64.11/15.30	    (~r2(X0,sK22)|id(sK22,sK0(X0))),
64.11/15.30	    inference(instantiation,[status(thm)],[c_50])).
64.11/15.30	
64.11/15.30	tcf(c_7588,plain, 
64.11/15.30	    (~r2(sK20,sK22)|id(sK22,sK0(sK20))),
64.11/15.30	    inference(instantiation,[status(thm)],[c_7587])).
64.11/15.30	
64.11/15.30	tcf(c_10207,plain,![X0:$i,X1:$i,X2:$i]:  
64.11/15.30	    (~id(sK20,X0)|~id(sK22,X1)|~id(sK24,X2)|~r1(X0)|r1(sK6(X2,X1))),
64.11/15.30	    inference(resolution,[status(thm)],[c_1628,c_3620])).
64.11/15.30	
64.11/15.30	tcf(c_10770,plain,![X0:$i,X1:$i]:  
64.11/15.30	    (~id(sK22,X0)|~id(sK24,X1)|~r1(sK21)|r1(sK6(X1,X0))),
64.11/15.30	    inference(resolution,[status(thm)],[c_10207,c_91])).
64.11/15.30	
64.11/15.30	tcf(c_10774,plain,![X0:$i,X1:$i]:  
64.11/15.30	    (~id(sK22,X0)|~id(sK24,X1)|~r1(sK7(sK20))|r1(sK6(X1,X0))),
64.11/15.30	    inference(resolution,[status(thm)],[c_10207,c_396])).
64.11/15.30	
64.11/15.30	tcf(c_10917,plain,![X0:$i,X1:$i]:  
64.11/15.30	    (~id(sK24,X1)|~id(sK22,X0)|r1(sK6(X1,X0))),
64.11/15.30	    inference(global_subsumption_just,
64.11/15.30	              [status(thm)],
64.11/15.30	              [c_10770,c_92,c_91,c_193,c_986,c_10774])).
64.11/15.30	
64.11/15.30	tcf(c_10918,plain,![X0:$i,X1:$i]:  
64.11/15.30	    (~id(sK22,X0)|~id(sK24,X1)|r1(sK6(X1,X0))),
64.11/15.30	    inference(renaming,[status(thm)],[c_10917])).
64.11/15.30	
64.11/15.30	tcf(c_11071,plain,![X0:$i,X1:$i]:  
64.11/15.30	    (~r1(sK6(X0,sK12(X0,X1)))|r1(sK11(X0,X1))),
64.11/15.30	    inference(resolution,[status(thm)],[c_1629,c_75])).
64.11/15.30	
64.11/15.30	tcf(c_71180,plain,![X0:$i,X1:$i]:  
64.11/15.30	    (~id(X0,X1)|~id(sK22,X0)|id(sK22,X1)),
64.11/15.30	    inference(instantiation,[status(thm)],[c_51])).
64.11/15.30	
64.11/15.30	tcf(c_77999,plain,![X0:$i,X1:$i]:  
64.11/15.30	    (~id(sK0(X0),X1)|~id(sK22,sK0(X0))|id(sK22,X1)),
64.11/15.30	    inference(instantiation,[status(thm)],[c_71180])).
64.11/15.30	
64.11/15.30	tcf(c_86617,plain,![X0:$i,X1:$i]:  
64.11/15.30	    (~id(sK0(X0),sK12(X1,X0))|~id(sK22,sK0(X0))|id(sK22,sK12(X1,X0))),
64.11/15.30	    inference(instantiation,[status(thm)],[c_77999])).
64.11/15.30	
64.11/15.30	tcf(c_86618,plain, 
64.11/15.30	    (~id(sK0(sK20),sK12(sK20,sK20))|~id(sK22,sK0(sK20))|id(sK22,sK12(sK20,sK20))),
64.11/15.30	    inference(instantiation,[status(thm)],[c_86617])).
64.11/15.30	
64.11/15.30	tcf(c_123470,plain,![X0:$i,X1:$i]:  
64.11/15.30	    (~r1(sK6(X0,sK12(X0,X1)))),
64.11/15.30	    inference(global_subsumption_just,
64.11/15.30	              [status(thm)],
64.11/15.30	              [c_11071,c_79,c_972,c_1182,c_1183,c_11071])).
64.11/15.30	
64.11/15.30	tcf(c_123484,plain,![X0:$i,X1:$i]:  
64.11/15.30	    (~id(sK22,sK12(X0,X1))|~id(sK24,X0)),
64.11/15.30	    inference(resolution,[status(thm)],[c_123470,c_10918])).
64.11/15.30	
64.11/15.30	tcf(c_123489,plain, 
64.11/15.30	    (~id(sK22,sK12(sK20,sK20))|~id(sK24,sK20)),
64.11/15.30	    inference(instantiation,[status(thm)],[c_123484])).
64.11/15.30	
64.11/15.30	tcf(c_123490,plain, 
64.11/15.30	    ($false),
64.11/15.30	    inference(prop_impl_just,
64.11/15.30	              [status(thm)],
64.11/15.30	              [c_123489,c_86618,c_7588,c_2762,c_2343,c_2320,c_2027,c_1930,
64.11/15.30	               c_514,c_399,c_193,c_160,c_138,c_137,c_103,c_91,c_93,c_92,
64.11/15.30	               c_94,c_95])).
64.11/15.30	
64.11/15.30	
64.11/15.30	% SZS output end CNFRefutation for theBenchmark.p
64.11/15.30	
64.11/15.30	
108.57/15.49	EOF