0.00/0.03	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.03	% Command  : run_iprover 180 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
0.08/0.34	% Computer : n007.cluster.edu
0.08/0.34	% Model    : x86_64 x86_64
0.08/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.08/0.34	% Memory   : 8046.5625MB
0.08/0.34	% OS       : Linux 6.8.0-71-generic
0.08/0.34	% CPULimit : 1440
0.08/0.34	% WCLimit  : 180
0.08/0.34	% DateTime : Mon Jul 27 10:23:04 UTC 2026
0.08/0.35	% CPUTime  : 
0.08/0.35	Running run_iprover 180 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
0.13/0.36	/export/starexec/sandbox2/solver/bin/SPCForProblem: Command not found.
0.13/0.37	Running first-order theorem proving
0.13/0.37	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
0.13/0.39	
0.13/0.39	% ======== iProver multi-core TPTP/SMT =========
0.13/0.39	
0.13/0.39	% Detected problem language: tptp
0.13/0.40	% Proving...
1167.38/176.59	% SZS status Started for theBenchmark.p
1167.38/176.59	% SZS status Theorem for theBenchmark.p
1167.38/176.59	
1167.38/176.59	%---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
1167.38/176.59	
1167.38/176.59	% ------  iProver source info
1167.38/176.59	
1167.38/176.59	% git: date: 2026-07-19 20:42:38 +0200
1167.38/176.59	% git: sha1: 804e7d636a263075307957e923b7a22a4035de61
1167.38/176.59	% git: non_committed_changes: false
1167.38/176.59	
1167.38/176.59	% ------ Parsing...
1167.38/176.59	% ------ Clausification by vclausify_rel  & Parsing by iProver...% 
1167.38/176.59	
1167.38/176.59	% ------ Preprocessing... sf_s  rm: 0 0s  sf_e % 
1167.38/176.59	
1167.38/176.59	% ------ Preprocessing...
1167.38/176.59	% ------ Proving...
1167.38/176.59	% ------ Problem Properties 
1167.38/176.59	
1167.38/176.59	% 
1167.38/176.59	% clauses                               3
1167.38/176.59	% conjectures                           1
1167.38/176.59	% EPR                                   0
1167.38/176.59	% Horn                                  3
1167.38/176.59	% unary                                 2
1167.38/176.59	% binary                                0
1167.38/176.59	% lits                                  5
1167.38/176.59	% lits eq                               0
1167.38/176.59	% fd_pure                               0
1167.38/176.59	% fd_pseudo                             0
1167.38/176.59	% fd_cond                               0
1167.38/176.59	% fd_pseudo_cond                        0
1167.38/176.59	% AC symbols                            0
1167.38/176.59	
1167.38/176.59	% ------ Input Options Time Limit: Unbounded
1167.38/176.59	
1167.38/176.59	
1167.38/176.59	% ------ 
1167.38/176.59	% Current options:
1167.38/176.59	% ------ 
1167.38/176.59	
1167.38/176.59	
1167.38/176.59	% 
1167.38/176.59	
1167.38/176.59	% ------ Proving...
1167.38/176.59	% 
1167.38/176.59	
1167.38/176.59	% SZS status Theorem for theBenchmark.p
1167.38/176.59	
1167.38/176.59	% SZS output start CNFRefutation for theBenchmark.p
1167.38/176.59	
1167.38/176.59	fof(f1,conjecture,(
1167.38/176.59	  is_a_theorem(implies(implies(n(x),y),implies(implies(x,y),y)))),
1167.38/176.59	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f3)).
1167.38/176.59	
1167.38/176.59	fof(f2,negated_conjecture,(
1167.38/176.59	  ~ is_a_theorem(implies(implies(n(x),y),implies(implies(x,y),y)))),
1167.38/176.59	  inference(negated_conjecture,[status(cth)],[f1])).
1167.38/176.59	
1167.38/176.59	fof(f3,axiom,(
1167.38/176.59	  ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] : is_a_theorem(implies(implies(implies(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)),X5),implies(implies(implies(implies(implies(implies(implies(X6,X7),implies(implies(X7,X8),implies(X6,X8))),implies(implies(implies(n(X9),X9),X9),X10)),X10),implies(implies(X11,implies(n(X11),X12)),X13)),X13),X14)),X14))),
1167.38/176.59	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f2)).
1167.38/176.59	
1167.38/176.59	fof(f4,axiom,(
1167.38/176.59	  ! [X0,X1] : ((is_a_theorem(implies(X0,X1)) & is_a_theorem(X0)) => is_a_theorem(X1))),
1167.38/176.59	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)).
1167.38/176.59	
1167.38/176.59	fof(f5,plain,(
1167.38/176.59	  ~is_a_theorem(implies(implies(n(x),y),implies(implies(x,y),y)))),
1167.38/176.59	  inference(flattening,[],[f2])).
1167.38/176.59	
1167.38/176.59	fof(f6,plain,(
1167.38/176.59	  ! [X0,X1] : (is_a_theorem(X1) | (~is_a_theorem(implies(X0,X1)) | ~is_a_theorem(X0)))),
1167.38/176.59	  inference(ennf_transformation,[],[f4])).
1167.38/176.59	
1167.38/176.59	fof(f7,plain,(
1167.38/176.59	  ! [X0,X1] : (is_a_theorem(X1) | ~is_a_theorem(implies(X0,X1)) | ~is_a_theorem(X0))),
1167.38/176.59	  inference(flattening,[],[f6])).
1167.38/176.59	
1167.38/176.59	fof(f8,plain,(
1167.38/176.59	  ~is_a_theorem(implies(implies(n(x),y),implies(implies(x,y),y)))),
1167.38/176.59	  inference(cnf_transformation,[],[f5])).
1167.38/176.59	
1167.38/176.59	fof(f9,plain,(
1167.38/176.59	  ( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : (is_a_theorem(implies(implies(implies(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)),X5),implies(implies(implies(implies(implies(implies(implies(X6,X7),implies(implies(X7,X8),implies(X6,X8))),implies(implies(implies(n(X9),X9),X9),X10)),X10),implies(implies(X11,implies(n(X11),X12)),X13)),X13),X14)),X14))) )),
1167.38/176.59	  inference(cnf_transformation,[],[f3])).
1167.38/176.59	
1167.38/176.59	fof(f10,plain,(
1167.38/176.59	  ( ! [X0,X1] : (is_a_theorem(X1) | ~is_a_theorem(implies(X0,X1)) | ~is_a_theorem(X0)) )),
1167.38/176.59	  inference(cnf_transformation,[],[f7])).
1167.38/176.59	
1167.38/176.59	tcf(c_49,negated_conjecture, 
1167.38/176.59	    (~is_a_theorem(implies(implies(n(x),y),implies(implies(x,y),y)))),
1167.38/176.59	    inference(cnf_transformation,[],[f8])).
1167.38/176.59	
1167.38/176.59	tcf(c_50,plain,![X0:$i,X1:$i,X2:$i,X3:$i,X4:$i,X5:$i,X6:$i,X7:$i,X8:$i,X9:$i,X10:$i,X11:$i,X12:$i,X13:$i,X14:$i]:  
1167.38/176.59	    (is_a_theorem(implies(implies(implies(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)),X5),implies(implies(implies(implies(implies(implies(implies(X6,X7),implies(implies(X7,X8),implies(X6,X8))),implies(implies(implies(n(X9),X9),X9),X10)),X10),implies(implies(X11,implies(n(X11),X12)),X13)),X13),X14)),X14))),
1167.38/176.59	    inference(cnf_transformation,[],[f9])).
1167.38/176.59	
1167.38/176.59	tcf(c_51,plain,![X0:$i,X1:$i]:  
1167.38/176.59	    (~is_a_theorem(implies(X0,X1))|~is_a_theorem(X0)|is_a_theorem(X1)),
1167.38/176.59	    inference(cnf_transformation,[],[f10])).
1167.38/176.59	
1167.38/176.59	tcf(c_75,plain,![X0:$i,X1:$i,X2:$i,X3:$i,X4:$i,X5:$i,X6:$i,X7:$i,X8:$i,X9:$i,X10:$i,X11:$i,X12:$i,X13:$i,X14:$i]:  
1167.38/176.59	    (~is_a_theorem(implies(implies(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)),X5),implies(implies(implies(implies(implies(implies(implies(X6,X7),implies(implies(X7,X8),implies(X6,X8))),implies(implies(implies(n(X9),X9),X9),X10)),X10),implies(implies(X11,implies(n(X11),X12)),X13)),X13),X14)))|
1167.38/176.59	    is_a_theorem(X14)),
1167.38/176.59	    inference(resolution,[status(thm)],[c_51,c_50])).
1167.38/176.59	
1167.38/176.59	tcf(c_81,plain,![X0:$i,X1:$i]:  
1167.38/176.59	    (is_a_theorem(implies(X0,implies(X1,X0)))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_75,c_50])).
1167.38/176.59	
1167.38/176.59	tcf(c_85,plain,![X0:$i,X1:$i]:  
1167.38/176.59	    (~is_a_theorem(X0)|is_a_theorem(implies(X1,X0))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_81,c_51])).
1167.38/176.59	
1167.38/176.59	tcf(c_87,plain,![X0:$i,X1:$i,X2:$i,X3:$i,X4:$i,X5:$i]:  
1167.38/176.59	    (is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)),X5))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_81,c_75])).
1167.38/176.59	
1167.38/176.59	tcf(c_102,plain,![X0:$i,X1:$i,X2:$i,X3:$i,X4:$i,X5:$i,X6:$i,X7:$i,X8:$i]:  
1167.38/176.59	    (~is_a_theorem(implies(implies(implies(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)),X4),implies(implies(X5,implies(n(X5),X6)),X7)),X7),X8))|
1167.38/176.59	    is_a_theorem(X8)),
1167.38/176.59	    inference(resolution,[status(thm)],[c_85,c_75])).
1167.38/176.59	
1167.38/176.59	tcf(c_133,plain,![X0:$i,X1:$i,X2:$i,X3:$i,X4:$i,X5:$i]:  
1167.38/176.59	    (~is_a_theorem(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)))|
1167.38/176.59	    is_a_theorem(X5)),
1167.38/176.59	    inference(resolution,[status(thm)],[c_87,c_51])).
1167.38/176.59	
1167.38/176.59	tcf(c_135,plain,![X0:$i,X1:$i,X2:$i]:  
1167.38/176.59	    (is_a_theorem(implies(X0,implies(X1,implies(X2,X1))))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_87,c_75])).
1167.38/176.59	
1167.38/176.59	tcf(c_140,plain,![X0:$i,X1:$i,X2:$i,X3:$i,X4:$i,X5:$i,X6:$i,X7:$i,X8:$i]:  
1167.38/176.59	    (is_a_theorem(implies(X0,implies(implies(implies(implies(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))),implies(implies(implies(n(X4),X4),X4),X5)),X5),implies(implies(X6,implies(n(X6),X7)),X8)),X8)))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_135,c_75])).
1167.38/176.59	
1167.38/176.59	tcf(c_184,plain,![X0:$i,X1:$i]:  
1167.38/176.59	    (is_a_theorem(implies(X0,implies(implies(n(X1),X1),X1)))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_102,c_87])).
1167.38/176.59	
1167.38/176.59	tcf(c_203,plain,![X0:$i]:  
1167.38/176.59	    (is_a_theorem(implies(implies(n(X0),X0),X0))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_184,c_102])).
1167.38/176.59	
1167.38/176.59	tcf(c_230,plain,![X0:$i,X1:$i,X2:$i,X3:$i,X4:$i,X5:$i,X6:$i,X7:$i]:  
1167.38/176.59	    (is_a_theorem(implies(implies(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)),X4),implies(implies(X5,implies(n(X5),X6)),X7)),X7))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_140,c_102])).
1167.38/176.59	
1167.38/176.59	tcf(c_245,plain,![X0:$i]:  
1167.38/176.59	    (~is_a_theorem(implies(n(X0),X0))|is_a_theorem(X0)),
1167.38/176.59	    inference(resolution,[status(thm)],[c_203,c_51])).
1167.38/176.59	
1167.38/176.59	tcf(c_358,plain,![X0:$i,X1:$i,X2:$i,X3:$i,X4:$i,X5:$i,X6:$i,X7:$i]:  
1167.38/176.59	    (~is_a_theorem(implies(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)),X4),implies(implies(X5,implies(n(X5),X6)),X7)))|
1167.38/176.59	    is_a_theorem(X7)),
1167.38/176.59	    inference(resolution,[status(thm)],[c_230,c_51])).
1167.38/176.59	
1167.38/176.59	tcf(c_367,plain,![X0:$i,X1:$i,X2:$i,X3:$i,X4:$i]:  
1167.38/176.59	    (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)),X4))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_358,c_81])).
1167.38/176.59	
1167.38/176.59	tcf(c_369,plain,![X0:$i,X1:$i,X2:$i]:  
1167.38/176.59	    (~is_a_theorem(implies(implies(X0,implies(n(X0),X1)),X2))|is_a_theorem(X2)),
1167.38/176.59	    inference(resolution,[status(thm)],[c_358,c_85])).
1167.38/176.59	
1167.38/176.59	tcf(c_423,plain,![X0:$i,X1:$i,X2:$i,X3:$i,X4:$i]:  
1167.38/176.59	    (~is_a_theorem(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)))|
1167.38/176.59	    is_a_theorem(X4)),
1167.38/176.59	    inference(resolution,[status(thm)],[c_367,c_51])).
1167.38/176.59	
1167.38/176.59	tcf(c_426,plain,![X0:$i,X1:$i,X2:$i,X3:$i]:  
1167.38/176.59	    (is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),implies(X3,X2)))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_367,c_133])).
1167.38/176.59	
1167.38/176.59	tcf(c_442,plain,![X0:$i,X1:$i,X2:$i]:  
1167.38/176.59	    (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_426,c_358])).
1167.38/176.59	
1167.38/176.59	tcf(c_453,plain,![X0:$i,X1:$i,X2:$i]:  
1167.38/176.59	    (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_442,c_51])).
1167.38/176.59	
1167.38/176.59	tcf(c_463,plain,![X0:$i,X1:$i,X2:$i]:  
1167.38/176.59	    (is_a_theorem(implies(implies(implies(n(X0),X1),X2),implies(X0,X2)))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_442,c_369])).
1167.38/176.59	
1167.38/176.59	tcf(c_482,plain,![X0:$i,X1:$i,X2:$i]:  
1167.38/176.59	    (~is_a_theorem(implies(implies(n(X0),X1),X2))|is_a_theorem(implies(X0,X2))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_463,c_51])).
1167.38/176.59	
1167.38/176.59	tcf(c_717,plain,![X0:$i,X1:$i]:  
1167.38/176.59	    (~is_a_theorem(implies(implies(implies(n(X0),X0),X0),X1))|is_a_theorem(X1)),
1167.38/176.59	    inference(resolution,[status(thm)],[c_423,c_85])).
1167.38/176.59	
1167.38/176.59	tcf(c_724,plain,![X0:$i,X1:$i,X2:$i]:  
1167.38/176.59	    (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_423,c_426])).
1167.38/176.59	
1167.38/176.59	tcf(c_775,plain,![X0:$i,X1:$i,X2:$i]:  
1167.38/176.59	    (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,X2))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_724,c_51])).
1167.38/176.59	
1167.38/176.59	tcf(c_785,plain,![X0:$i,X1:$i,X2:$i]:  
1167.38/176.59	    (is_a_theorem(implies(implies(implies(implies(n(X0),X0),X0),X1),implies(X2,X1)))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_724,c_423])).
1167.38/176.59	
1167.38/176.59	tcf(c_1036,plain,![X0:$i,X1:$i,X2:$i]:  
1167.38/176.59	    (is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1))))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_775,c_442])).
1167.38/176.59	
1167.38/176.59	tcf(c_1919,plain,![X0:$i,X1:$i,X2:$i]:  
1167.38/176.59	    (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_453,c_51])).
1167.38/176.59	
1167.38/176.59	tcf(c_1928,plain,![X0:$i,X1:$i,X2:$i]:  
1167.38/176.59	    (~is_a_theorem(implies(X0,n(X1)))|is_a_theorem(implies(X1,implies(X0,X2)))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_453,c_482])).
1167.38/176.59	
1167.38/176.59	tcf(c_1929,plain,![X0:$i,X1:$i]:  
1167.38/176.59	    (~is_a_theorem(implies(X0,implies(n(X1),X1)))|is_a_theorem(implies(X0,X1))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_453,c_717])).
1167.38/176.59	
1167.38/176.59	tcf(c_3590,plain,![X0:$i,X1:$i]:  
1167.38/176.59	    (~is_a_theorem(implies(n(X0),n(X1)))|is_a_theorem(implies(X1,X0))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_1928,c_1929])).
1167.38/176.59	
1167.38/176.59	tcf(c_3651,plain,![X0:$i,X1:$i,X2:$i,X3:$i]:  
1167.38/176.59	    (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X0,implies(implies(X2,X3),implies(X1,X3))))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_1919,c_442])).
1167.38/176.59	
1167.38/176.59	tcf(c_3656,plain,![X0:$i,X1:$i,X2:$i,X3:$i]:  
1167.38/176.59	    (~is_a_theorem(implies(X0,implies(implies(n(X1),X2),X3)))|is_a_theorem(implies(X0,implies(X1,X3)))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_1919,c_463])).
1167.38/176.59	
1167.38/176.59	tcf(c_3671,plain,![X0:$i,X1:$i,X2:$i,X3:$i]:  
1167.38/176.59	    (~is_a_theorem(implies(X0,implies(implies(implies(n(X1),X1),X1),X2)))|
1167.38/176.59	    is_a_theorem(implies(X0,implies(X3,X2)))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_1919,c_785])).
1167.38/176.59	
1167.38/176.59	tcf(c_3684,plain,![X0:$i,X1:$i,X2:$i,X3:$i]:  
1167.38/176.59	    (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,X2))))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_1919,c_1036])).
1167.38/176.59	
1167.38/176.59	tcf(c_20155,plain,![X0:$i,X1:$i,X2:$i]:  
1167.38/176.59	    (~is_a_theorem(implies(n(implies(implies(X0,X1),implies(X2,X1))),X0))|
1167.38/176.59	    is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_3684,c_245])).
1167.38/176.59	
1167.38/176.59	tcf(c_20172,plain,![X0:$i,X1:$i,X2:$i,X3:$i,X4:$i]:  
1167.38/176.59	    (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,X3))))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_3684,c_775])).
1167.38/176.59	
1167.38/176.59	tcf(c_23298,plain,![X0:$i,X1:$i,X2:$i]:  
1167.38/176.59	    (is_a_theorem(implies(n(X0),implies(X0,implies(X1,X2))))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_3656,c_1036])).
1167.38/176.59	
1167.38/176.59	tcf(c_23668,plain,![X0:$i,X1:$i]:  
1167.38/176.59	    (is_a_theorem(implies(n(n(implies(X0,X1))),implies(X0,X1)))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_23298,c_1929])).
1167.38/176.59	
1167.38/176.59	tcf(c_23690,plain,![X0:$i]:  
1167.38/176.59	    (is_a_theorem(implies(n(n(implies(n(X0),X0))),X0))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_23668,c_1929])).
1167.38/176.59	
1167.38/176.59	tcf(c_23818,plain,![X0:$i]:  
1167.38/176.59	    (is_a_theorem(implies(X0,n(implies(n(n(X0)),n(X0)))))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_23690,c_3590])).
1167.38/176.59	
1167.38/176.59	tcf(c_23878,plain,![X0:$i]:  
1167.38/176.59	    (is_a_theorem(implies(implies(n(n(n(X0))),n(n(X0))),X0))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_23818,c_3590])).
1167.38/176.59	
1167.38/176.59	tcf(c_26275,plain,![X0:$i]:  
1167.38/176.59	    (is_a_theorem(implies(n(n(X0)),X0))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_23878,c_482])).
1167.38/176.59	
1167.38/176.59	tcf(c_26424,plain,![X0:$i]:  
1167.38/176.59	    (is_a_theorem(implies(X0,n(n(X0))))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_26275,c_3590])).
1167.38/176.59	
1167.38/176.59	tcf(c_26495,plain,![X0:$i,X1:$i]:  
1167.38/176.59	    (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(X0,n(n(X1))))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_26424,c_1919])).
1167.38/176.59	
1167.38/176.59	tcf(c_39586,plain,![X0:$i,X1:$i,X2:$i,X3:$i]:  
1167.38/176.59	    (~is_a_theorem(implies(X0,implies(X1,implies(n(X2),X2))))|is_a_theorem(implies(X0,implies(X3,implies(X1,X2))))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_3671,c_3651])).
1167.38/176.59	
1167.38/176.59	tcf(c_50583,plain,![X0:$i,X1:$i]:  
1167.38/176.59	    (~is_a_theorem(implies(n(X0),X1))|is_a_theorem(implies(n(X1),X0))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_26495,c_3590])).
1167.38/176.59	
1167.38/176.59	tcf(c_505773,plain,![X0:$i,X1:$i,X2:$i]:  
1167.38/176.59	    (is_a_theorem(implies(n(n(X0)),implies(implies(X0,X1),implies(X2,X1))))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_20172,c_23878])).
1167.38/176.59	
1167.38/176.59	tcf(c_822210,plain,![X0:$i,X1:$i,X2:$i]:  
1167.38/176.59	    (is_a_theorem(implies(n(n(X0)),implies(X1,implies(implies(X0,X2),X2))))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_39586,c_505773])).
1167.38/176.59	
1167.38/176.59	tcf(c_828475,plain,![X0:$i,X1:$i,X2:$i]:  
1167.38/176.59	    (is_a_theorem(implies(n(implies(X0,implies(implies(X1,X2),X2))),n(X1)))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_822210,c_50583])).
1167.38/176.59	
1167.38/176.59	tcf(c_1232919,plain,![X0:$i,X1:$i]:  
1167.38/176.59	    (is_a_theorem(implies(implies(n(X0),X1),implies(implies(X0,X1),X1)))),
1167.38/176.59	    inference(resolution,[status(thm)],[c_20155,c_828475])).
1167.38/176.59	
1167.38/176.59	tcf(c_1239393,plain, 
1167.38/176.59	    ($false),
1167.38/176.59	    inference(backward_subsumption_resolution,[status(thm)],[c_49,c_1232919])).
1167.38/176.59	
1167.38/176.59	
1167.38/176.59	% SZS output end CNFRefutation for theBenchmark.p
1167.38/176.59	
609.37/176.77	EOF