0.06/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.12	% Command  : run_iprover %s %d THM
0.12/0.33	% Computer : n006.cluster.edu
0.12/0.33	% Model    : x86_64 x86_64
0.12/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory   : 8042.1875MB
0.12/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit : 1440
0.12/0.33	% WCLimit  : 180
0.12/0.33	% DateTime : Thu Jul  4 06:03:09 EDT 2024
0.12/0.33	% CPUTime  : 
0.19/0.46	Running TFA theorem proving
0.19/0.46	Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa --heuristic_context casc_unsat /export/starexec/sandbox2/benchmark/theBenchmark.p 180
19.68/3.14	% SZS status Started for theBenchmark.p
19.68/3.14	% SZS status Theorem for theBenchmark.p
19.68/3.14	
19.68/3.14	%---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
19.68/3.14	
19.68/3.14	------  iProver source info
19.68/3.14	
19.68/3.14	git: date: 2024-06-12 09:56:46 +0000
19.68/3.14	git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
19.68/3.14	git: non_committed_changes: false
19.68/3.14	
19.68/3.14	------ Parsing...
19.68/3.14	------ Clausification by vclausify_rel  & Parsing by iProver...
19.68/3.14	
19.68/3.14	------ Preprocessing... sup_sim: 15  sf_s  rm: 18 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 9 0s  sf_e  pe_s  pe_e 
19.68/3.14	
19.68/3.14	------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
19.68/3.14	
19.68/3.14	------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
19.68/3.14	------ Proving...
19.68/3.14	------ Problem Properties 
19.68/3.14	
19.68/3.14	
19.68/3.14	clauses                                 65
19.68/3.14	conjectures                             3
19.68/3.14	EPR                                     14
19.68/3.14	Horn                                    44
19.68/3.14	unary                                   23
19.68/3.14	binary                                  18
19.68/3.14	lits                                    149
19.68/3.14	lits eq                                 37
19.68/3.14	fd_pure                                 1
19.68/3.14	fd_pseudo                               0
19.68/3.14	fd_cond                                 0
19.68/3.14	fd_pseudo_cond                          5
19.68/3.14	AC symbols                              2
19.68/3.14	
19.68/3.14	------ Input Options Time Limit: Unbounded
19.68/3.14	
19.68/3.14	
19.68/3.14	------ 
19.68/3.14	Current options:
19.68/3.14	------ 
19.68/3.14	
19.68/3.14	
19.68/3.14	
19.68/3.14	
19.68/3.14	------ Proving...
19.68/3.14	
19.68/3.14	
19.68/3.14	% SZS status Theorem for theBenchmark.p
19.68/3.14	
19.68/3.14	% SZS output start CNFRefutation for theBenchmark.p
19.68/3.14	
19.68/3.14	tff(f3,axiom,(
19.68/3.14	  ! [X2 : $int,X5 : $int,X6 : $int] : ($lesseq(X2,X5) => ($lesseq(0,X6) => $lesseq($product(X2,X6),$product(X5,X6))))),
19.68/3.14	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatOrderMult)).
19.68/3.14	
19.68/3.14	tff(f4,axiom,(
19.68/3.14	  ! [X7 : uf_pure1,X2 : $int,X5 : $int] : (same1(X7,X2,X5) <=> ! [X3 : $int] : (repr1(X7,X5,X3) <=> repr1(X7,X2,X3)))),
19.68/3.14	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',same_def)).
19.68/3.14	
19.68/3.14	tff(f7,axiom,(
19.68/3.14	  ! [X7 : uf_pure1] : (num1(X7) = 1 => ! [X2 : $int,X5 : $int] : (($less(X2,size1(X7)) & $lesseq(0,X2)) => (($lesseq(0,X5) & $less(X5,size1(X7))) => same1(X7,X2,X5))))),
19.68/3.14	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneClass)).
19.68/3.14	
19.68/3.14	tff(f12,axiom,(
19.68/3.14	  ! [X8 : graph1,X2 : $int] : path1(X8,X2,X2)),
19.68/3.14	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',path_refl)).
19.68/3.14	
19.68/3.14	tff(f19,conjecture,(
19.68/3.14	  ! [X14 : $int,X15 : $int,X16 : graph1] : (($lesseq(1,X14) & 0 = X15 & ! [X2 : $int,X5 : $int] : (path1(X16,X2,X5) <=> X2 = X5)) => ($lesseq(0,$product(X14,X14)) => ! [X7 : uf_pure1] : ((! [X2 : $int] : (($less(X2,$product(X14,X14)) & $lesseq(0,X2)) => repr1(X7,X2,X2)) & size1(X7) = $product(X14,X14) & num1(X7) = $product(X14,X14)) => (! [X2 : $int,X5 : $int] : (($lesseq(0,X2) & $less(X2,$product(X14,X14))) => (($less(X5,$product(X14,X14)) & $lesseq(0,X5)) => (same1(X7,X2,X5) => (repr1(X7,X2,X5) & X2 = X5 & repr1(X7,X2,X2))))) => (size1(X7) = $product(X14,X14) & ! [X2 : $int,X5 : $int] : (($less(X2,$product(X14,X14)) & $lesseq(0,X2)) => (($lesseq(0,X5) & $less(X5,$product(X14,X14))) => (path1(X16,X2,X5) <=> same1(X7,X2,X5)))) & size1(X7) = $sum(num1(X7),X15) & $lesseq(1,num1(X7)))))))),
19.68/3.14	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_build_maze)).
19.68/3.14	
19.68/3.14	tff(f20,negated_conjecture,(
19.68/3.14	  ~! [X14 : $int,X15 : $int,X16 : graph1] : (($lesseq(1,X14) & 0 = X15 & ! [X2 : $int,X5 : $int] : (path1(X16,X2,X5) <=> X2 = X5)) => ($lesseq(0,$product(X14,X14)) => ! [X7 : uf_pure1] : ((! [X2 : $int] : (($less(X2,$product(X14,X14)) & $lesseq(0,X2)) => repr1(X7,X2,X2)) & size1(X7) = $product(X14,X14) & num1(X7) = $product(X14,X14)) => (! [X2 : $int,X5 : $int] : (($lesseq(0,X2) & $less(X2,$product(X14,X14))) => (($less(X5,$product(X14,X14)) & $lesseq(0,X5)) => (same1(X7,X2,X5) => (repr1(X7,X2,X5) & X2 = X5 & repr1(X7,X2,X2))))) => (size1(X7) = $product(X14,X14) & ! [X2 : $int,X5 : $int] : (($less(X2,$product(X14,X14)) & $lesseq(0,X2)) => (($lesseq(0,X5) & $less(X5,$product(X14,X14))) => (path1(X16,X2,X5) <=> same1(X7,X2,X5)))) & size1(X7) = $sum(num1(X7),X15) & $lesseq(1,num1(X7)))))))),
19.68/3.14	  inference(negated_conjecture,[],[f19])).
19.68/3.14	
19.68/3.14	tff(f27,plain,(
19.68/3.14	  ! [X2 : $int,X5 : $int,X6 : $int] : (~$less(X5,X2) => (~$less(X6,0) => ~$less($product(X5,X6),$product(X2,X6))))),
19.68/3.14	  inference(theory_normalization,[],[f3])).
19.68/3.14	
19.68/3.14	tff(f29,plain,(
19.68/3.14	  ! [X7 : uf_pure1] : (num1(X7) = 1 => ! [X2 : $int,X5 : $int] : (($less(X2,size1(X7)) & ~$less(X2,0)) => ((~$less(X5,0) & $less(X5,size1(X7))) => same1(X7,X2,X5))))),
19.68/3.14	  inference(theory_normalization,[],[f7])).
19.68/3.14	
19.68/3.14	tff(f31,plain,(
19.68/3.14	  ~! [X14 : $int,X15 : $int,X16 : graph1] : ((~$less(X14,1) & 0 = X15 & ! [X2 : $int,X5 : $int] : (path1(X16,X2,X5) <=> X2 = X5)) => (~$less($product(X14,X14),0) => ! [X7 : uf_pure1] : ((! [X2 : $int] : (($less(X2,$product(X14,X14)) & ~$less(X2,0)) => repr1(X7,X2,X2)) & size1(X7) = $product(X14,X14) & num1(X7) = $product(X14,X14)) => (! [X2 : $int,X5 : $int] : ((~$less(X2,0) & $less(X2,$product(X14,X14))) => (($less(X5,$product(X14,X14)) & ~$less(X5,0)) => (same1(X7,X2,X5) => (repr1(X7,X2,X5) & X2 = X5 & repr1(X7,X2,X2))))) => (size1(X7) = $product(X14,X14) & ! [X2 : $int,X5 : $int] : (($less(X2,$product(X14,X14)) & ~$less(X2,0)) => ((~$less(X5,0) & $less(X5,$product(X14,X14))) => (path1(X16,X2,X5) <=> same1(X7,X2,X5)))) & size1(X7) = $sum(num1(X7),X15) & ~$less(num1(X7),1))))))),
19.68/3.14	  inference(theory_normalization,[],[f20])).
19.68/3.14	
19.68/3.14	tff(f33,plain,(
19.68/3.14	  ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
19.68/3.14	  introduced(theory_axiom_138,[])).
19.68/3.14	
19.68/3.14	tff(f34,plain,(
19.68/3.14	  ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
19.68/3.14	  introduced(theory_axiom_139,[])).
19.68/3.14	
19.68/3.14	tff(f38,plain,(
19.68/3.14	  ( ! [X0 : $int] : (~$less(X0,X0)) )),
19.68/3.14	  introduced(theory_axiom_145,[])).
19.68/3.14	
19.68/3.14	tff(f39,plain,(
19.68/3.14	  ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
19.68/3.14	  introduced(theory_axiom_146,[])).
19.68/3.14	
19.68/3.14	tff(f40,plain,(
19.68/3.14	  ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
19.68/3.14	  introduced(theory_axiom_147,[])).
19.68/3.14	
19.68/3.14	tff(f44,plain,(
19.68/3.14	  ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
19.68/3.14	  introduced(theory_axiom_138,[])).
19.68/3.14	
19.68/3.14	tff(f45,plain,(
19.68/3.14	  ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
19.68/3.14	  introduced(theory_axiom_139,[])).
19.68/3.14	
19.68/3.14	tff(f46,plain,(
19.68/3.14	  ( ! [X0 : $int] : ($product(X0,1) = X0) )),
19.68/3.14	  introduced(theory_axiom_140,[])).
19.68/3.14	
19.68/3.14	tff(f52,plain,(
19.68/3.14	  ! [X0 : $int,X1 : $int,X2 : $int] : (~$less(X1,X0) => (~$less(X2,0) => ~$less($product(X1,X2),$product(X0,X2))))),
19.68/3.14	  inference(rectify,[],[f27])).
19.68/3.14	
19.68/3.14	tff(f53,plain,(
19.68/3.14	  ! [X0 : uf_pure1,X1 : $int,X2 : $int] : (same1(X0,X1,X2) <=> ! [X3 : $int] : (repr1(X0,X2,X3) <=> repr1(X0,X1,X3)))),
19.68/3.14	  inference(rectify,[],[f4])).
19.68/3.14	
19.68/3.14	tff(f56,plain,(
19.68/3.14	  ! [X0 : uf_pure1] : (1 = num1(X0) => ! [X1 : $int,X2 : $int] : (($less(X1,size1(X0)) & ~$less(X1,0)) => ((~$less(X2,0) & $less(X2,size1(X0))) => same1(X0,X1,X2))))),
19.68/3.14	  inference(rectify,[],[f29])).
19.68/3.14	
19.68/3.14	tff(f61,plain,(
19.68/3.14	  ! [X0 : graph1,X1 : $int] : path1(X0,X1,X1)),
19.68/3.14	  inference(rectify,[],[f12])).
19.68/3.14	
19.68/3.14	tff(f68,plain,(
19.68/3.14	  ~! [X0 : $int,X1 : $int,X2 : graph1] : ((~$less(X0,1) & 0 = X1 & ! [X3 : $int,X4 : $int] : (path1(X2,X3,X4) <=> X3 = X4)) => (~$less($product(X0,X0),0) => ! [X5 : uf_pure1] : ((! [X6 : $int] : (($less(X6,$product(X0,X0)) & ~$less(X6,0)) => repr1(X5,X6,X6)) & $product(X0,X0) = size1(X5) & $product(X0,X0) = num1(X5)) => (! [X7 : $int,X8 : $int] : ((~$less(X7,0) & $less(X7,$product(X0,X0))) => (($less(X8,$product(X0,X0)) & ~$less(X8,0)) => (same1(X5,X7,X8) => (repr1(X5,X7,X8) & X7 = X8 & repr1(X5,X7,X7))))) => ($product(X0,X0) = size1(X5) & ! [X9 : $int,X10 : $int] : (($less(X9,$product(X0,X0)) & ~$less(X9,0)) => ((~$less(X10,0) & $less(X10,$product(X0,X0))) => (path1(X2,X9,X10) <=> same1(X5,X9,X10)))) & size1(X5) = $sum(num1(X5),X1) & ~$less(num1(X5),1))))))),
19.68/3.14	  inference(rectify,[],[f31])).
19.68/3.14	
19.68/3.14	tff(f74,plain,(
19.68/3.14	  ! [X0 : $int,X1 : $int,X2 : $int] : ((~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0)) | $less(X1,X0))),
19.68/3.14	  inference(ennf_transformation,[],[f52])).
19.68/3.14	
19.68/3.14	tff(f75,plain,(
19.68/3.14	  ! [X0 : $int,X1 : $int,X2 : $int] : (~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0) | $less(X1,X0))),
19.68/3.14	  inference(flattening,[],[f74])).
19.68/3.14	
19.68/3.14	tff(f78,plain,(
19.68/3.14	  ! [X0 : uf_pure1] : (! [X1 : $int,X2 : $int] : ((same1(X0,X1,X2) | ($less(X2,0) | ~$less(X2,size1(X0)))) | (~$less(X1,size1(X0)) | $less(X1,0))) | 1 != num1(X0))),
19.68/3.14	  inference(ennf_transformation,[],[f56])).
19.68/3.14	
19.68/3.14	tff(f79,plain,(
19.68/3.14	  ! [X0 : uf_pure1] : (! [X1 : $int,X2 : $int] : (same1(X0,X1,X2) | $less(X2,0) | ~$less(X2,size1(X0)) | ~$less(X1,size1(X0)) | $less(X1,0)) | 1 != num1(X0))),
19.68/3.14	  inference(flattening,[],[f78])).
19.68/3.14	
19.68/3.14	tff(f88,plain,(
19.68/3.14	  ? [X0 : $int,X1 : $int,X2 : graph1] : ((? [X5 : uf_pure1] : ((($product(X0,X0) != size1(X5) | ? [X9 : $int,X10 : $int] : (((path1(X2,X9,X10) <~> same1(X5,X9,X10)) & (~$less(X10,0) & $less(X10,$product(X0,X0)))) & ($less(X9,$product(X0,X0)) & ~$less(X9,0))) | size1(X5) != $sum(num1(X5),X1) | $less(num1(X5),1)) & ! [X7 : $int,X8 : $int] : ((((repr1(X5,X7,X8) & X7 = X8 & repr1(X5,X7,X7)) | ~same1(X5,X7,X8)) | (~$less(X8,$product(X0,X0)) | $less(X8,0))) | ($less(X7,0) | ~$less(X7,$product(X0,X0))))) & (! [X6 : $int] : (repr1(X5,X6,X6) | (~$less(X6,$product(X0,X0)) | $less(X6,0))) & $product(X0,X0) = size1(X5) & $product(X0,X0) = num1(X5))) & ~$less($product(X0,X0),0)) & (~$less(X0,1) & 0 = X1 & ! [X3 : $int,X4 : $int] : (path1(X2,X3,X4) <=> X3 = X4)))),
19.68/3.14	  inference(ennf_transformation,[],[f68])).
19.68/3.14	
19.68/3.14	tff(f89,plain,(
19.68/3.14	  ? [X0 : $int,X1 : $int,X2 : graph1] : (? [X5 : uf_pure1] : (($product(X0,X0) != size1(X5) | ? [X9 : $int,X10 : $int] : ((path1(X2,X9,X10) <~> same1(X5,X9,X10)) & ~$less(X10,0) & $less(X10,$product(X0,X0)) & $less(X9,$product(X0,X0)) & ~$less(X9,0)) | size1(X5) != $sum(num1(X5),X1) | $less(num1(X5),1)) & ! [X7 : $int,X8 : $int] : ((repr1(X5,X7,X8) & X7 = X8 & repr1(X5,X7,X7)) | ~same1(X5,X7,X8) | ~$less(X8,$product(X0,X0)) | $less(X8,0) | $less(X7,0) | ~$less(X7,$product(X0,X0))) & ! [X6 : $int] : (repr1(X5,X6,X6) | ~$less(X6,$product(X0,X0)) | $less(X6,0)) & $product(X0,X0) = size1(X5) & $product(X0,X0) = num1(X5)) & ~$less($product(X0,X0),0) & ~$less(X0,1) & 0 = X1 & ! [X3 : $int,X4 : $int] : (path1(X2,X3,X4) <=> X3 = X4))),
19.68/3.14	  inference(flattening,[],[f88])).
19.68/3.14	
19.68/3.14	tff(f98,plain,(
19.68/3.14	  ! [X0 : uf_pure1,X1 : $int,X2 : $int] : ((same1(X0,X1,X2) | ? [X3 : $int] : ((~repr1(X0,X1,X3) | ~repr1(X0,X2,X3)) & (repr1(X0,X1,X3) | repr1(X0,X2,X3)))) & (! [X3 : $int] : ((repr1(X0,X2,X3) | ~repr1(X0,X1,X3)) & (repr1(X0,X1,X3) | ~repr1(X0,X2,X3))) | ~same1(X0,X1,X2)))),
19.68/3.14	  inference(nnf_transformation,[],[f53])).
19.68/3.14	
19.68/3.14	tff(f99,plain,(
19.68/3.14	  ! [X0 : uf_pure1,X1 : $int,X2 : $int] : ((same1(X0,X1,X2) | ? [X3 : $int] : ((~repr1(X0,X1,X3) | ~repr1(X0,X2,X3)) & (repr1(X0,X1,X3) | repr1(X0,X2,X3)))) & (! [X4 : $int] : ((repr1(X0,X2,X4) | ~repr1(X0,X1,X4)) & (repr1(X0,X1,X4) | ~repr1(X0,X2,X4))) | ~same1(X0,X1,X2)))),
19.68/3.14	  inference(rectify,[],[f98])).
19.68/3.14	
19.68/3.14	tff(f100,plain,(
19.68/3.14	  ! [X0 : uf_pure1,X1 : $int,X2 : $int] : (? [X3 : $int] : ((~repr1(X0,X1,X3) | ~repr1(X0,X2,X3)) & (repr1(X0,X1,X3) | repr1(X0,X2,X3))) => ((~repr1(X0,X1,sK2(X0,X1,X2)) | ~repr1(X0,X2,sK2(X0,X1,X2))) & (repr1(X0,X1,sK2(X0,X1,X2)) | repr1(X0,X2,sK2(X0,X1,X2)))))),
19.68/3.14	  introduced(choice_axiom,[])).
19.68/3.14	
19.68/3.14	tff(f101,plain,(
19.68/3.14	  ! [X0 : uf_pure1,X1 : $int,X2 : $int] : ((same1(X0,X1,X2) | ((~repr1(X0,X1,sK2(X0,X1,X2)) | ~repr1(X0,X2,sK2(X0,X1,X2))) & (repr1(X0,X1,sK2(X0,X1,X2)) | repr1(X0,X2,sK2(X0,X1,X2))))) & (! [X4 : $int] : ((repr1(X0,X2,X4) | ~repr1(X0,X1,X4)) & (repr1(X0,X1,X4) | ~repr1(X0,X2,X4))) | ~same1(X0,X1,X2)))),
19.68/3.14	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f99,f100])).
19.68/3.14	
19.68/3.14	tff(f114,plain,(
19.68/3.14	  ? [X0 : $int,X1 : $int,X2 : graph1] : (? [X5 : uf_pure1] : (($product(X0,X0) != size1(X5) | ? [X9 : $int,X10 : $int] : (((~same1(X5,X9,X10) | ~path1(X2,X9,X10)) & (same1(X5,X9,X10) | path1(X2,X9,X10))) & ~$less(X10,0) & $less(X10,$product(X0,X0)) & $less(X9,$product(X0,X0)) & ~$less(X9,0)) | size1(X5) != $sum(num1(X5),X1) | $less(num1(X5),1)) & ! [X7 : $int,X8 : $int] : ((repr1(X5,X7,X8) & X7 = X8 & repr1(X5,X7,X7)) | ~same1(X5,X7,X8) | ~$less(X8,$product(X0,X0)) | $less(X8,0) | $less(X7,0) | ~$less(X7,$product(X0,X0))) & ! [X6 : $int] : (repr1(X5,X6,X6) | ~$less(X6,$product(X0,X0)) | $less(X6,0)) & $product(X0,X0) = size1(X5) & $product(X0,X0) = num1(X5)) & ~$less($product(X0,X0),0) & ~$less(X0,1) & 0 = X1 & ! [X3 : $int,X4 : $int] : ((path1(X2,X3,X4) | X3 != X4) & (X3 = X4 | ~path1(X2,X3,X4))))),
19.68/3.14	  inference(nnf_transformation,[],[f89])).
19.68/3.14	
19.68/3.14	tff(f115,plain,(
19.68/3.14	  ? [X0 : $int,X1 : $int,X2 : graph1] : (? [X5 : uf_pure1] : (($product(X0,X0) != size1(X5) | ? [X9 : $int,X10 : $int] : ((~same1(X5,X9,X10) | ~path1(X2,X9,X10)) & (same1(X5,X9,X10) | path1(X2,X9,X10)) & ~$less(X10,0) & $less(X10,$product(X0,X0)) & $less(X9,$product(X0,X0)) & ~$less(X9,0)) | size1(X5) != $sum(num1(X5),X1) | $less(num1(X5),1)) & ! [X7 : $int,X8 : $int] : ((repr1(X5,X7,X8) & X7 = X8 & repr1(X5,X7,X7)) | ~same1(X5,X7,X8) | ~$less(X8,$product(X0,X0)) | $less(X8,0) | $less(X7,0) | ~$less(X7,$product(X0,X0))) & ! [X6 : $int] : (repr1(X5,X6,X6) | ~$less(X6,$product(X0,X0)) | $less(X6,0)) & $product(X0,X0) = size1(X5) & $product(X0,X0) = num1(X5)) & ~$less($product(X0,X0),0) & ~$less(X0,1) & 0 = X1 & ! [X3 : $int,X4 : $int] : ((path1(X2,X3,X4) | X3 != X4) & (X3 = X4 | ~path1(X2,X3,X4))))),
19.68/3.14	  inference(flattening,[],[f114])).
19.68/3.14	
19.68/3.14	tff(f116,plain,(
19.68/3.14	  ? [X0 : $int,X1 : $int,X2 : graph1] : (? [X3 : uf_pure1] : (($product(X0,X0) != size1(X3) | ? [X4 : $int,X5 : $int] : ((~same1(X3,X4,X5) | ~path1(X2,X4,X5)) & (same1(X3,X4,X5) | path1(X2,X4,X5)) & ~$less(X5,0) & $less(X5,$product(X0,X0)) & $less(X4,$product(X0,X0)) & ~$less(X4,0)) | size1(X3) != $sum(num1(X3),X1) | $less(num1(X3),1)) & ! [X6 : $int,X7 : $int] : ((repr1(X3,X6,X7) & X6 = X7 & repr1(X3,X6,X6)) | ~same1(X3,X6,X7) | ~$less(X7,$product(X0,X0)) | $less(X7,0) | $less(X6,0) | ~$less(X6,$product(X0,X0))) & ! [X8 : $int] : (repr1(X3,X8,X8) | ~$less(X8,$product(X0,X0)) | $less(X8,0)) & $product(X0,X0) = size1(X3) & $product(X0,X0) = num1(X3)) & ~$less($product(X0,X0),0) & ~$less(X0,1) & 0 = X1 & ! [X9 : $int,X10 : $int] : ((path1(X2,X9,X10) | X9 != X10) & (X9 = X10 | ~path1(X2,X9,X10))))),
19.68/3.14	  inference(rectify,[],[f115])).
19.68/3.14	
19.68/3.14	tff(f117,plain,(
19.68/3.14	  ? [X0 : $int,X1 : $int,X2 : graph1] : (? [X3 : uf_pure1] : (($product(X0,X0) != size1(X3) | ? [X4 : $int,X5 : $int] : ((~same1(X3,X4,X5) | ~path1(X2,X4,X5)) & (same1(X3,X4,X5) | path1(X2,X4,X5)) & ~$less(X5,0) & $less(X5,$product(X0,X0)) & $less(X4,$product(X0,X0)) & ~$less(X4,0)) | size1(X3) != $sum(num1(X3),X1) | $less(num1(X3),1)) & ! [X6 : $int,X7 : $int] : ((repr1(X3,X6,X7) & X6 = X7 & repr1(X3,X6,X6)) | ~same1(X3,X6,X7) | ~$less(X7,$product(X0,X0)) | $less(X7,0) | $less(X6,0) | ~$less(X6,$product(X0,X0))) & ! [X8 : $int] : (repr1(X3,X8,X8) | ~$less(X8,$product(X0,X0)) | $less(X8,0)) & $product(X0,X0) = size1(X3) & $product(X0,X0) = num1(X3)) & ~$less($product(X0,X0),0) & ~$less(X0,1) & 0 = X1 & ! [X9 : $int,X10 : $int] : ((path1(X2,X9,X10) | X9 != X10) & (X9 = X10 | ~path1(X2,X9,X10)))) => (? [X3 : uf_pure1] : ((size1(X3) != $product(sK13,sK13) | ? [X5 : $int,X4 : $int] : ((~same1(X3,X4,X5) | ~path1(sK15,X4,X5)) & (same1(X3,X4,X5) | path1(sK15,X4,X5)) & ~$less(X5,0) & $less(X5,$product(sK13,sK13)) & $less(X4,$product(sK13,sK13)) & ~$less(X4,0)) | size1(X3) != $sum(num1(X3),sK14) | $less(num1(X3),1)) & ! [X7 : $int,X6 : $int] : ((repr1(X3,X6,X7) & X6 = X7 & repr1(X3,X6,X6)) | ~same1(X3,X6,X7) | ~$less(X7,$product(sK13,sK13)) | $less(X7,0) | $less(X6,0) | ~$less(X6,$product(sK13,sK13))) & ! [X8 : $int] : (repr1(X3,X8,X8) | ~$less(X8,$product(sK13,sK13)) | $less(X8,0)) & size1(X3) = $product(sK13,sK13) & num1(X3) = $product(sK13,sK13)) & ~$less($product(sK13,sK13),0) & ~$less(sK13,1) & 0 = sK14 & ! [X10 : $int,X9 : $int] : ((path1(sK15,X9,X10) | X9 != X10) & (X9 = X10 | ~path1(sK15,X9,X10))))),
19.68/3.14	  introduced(choice_axiom,[])).
19.68/3.14	
19.68/3.14	tff(f118,plain,(
19.68/3.14	  ? [X3 : uf_pure1] : ((size1(X3) != $product(sK13,sK13) | ? [X5 : $int,X4 : $int] : ((~same1(X3,X4,X5) | ~path1(sK15,X4,X5)) & (same1(X3,X4,X5) | path1(sK15,X4,X5)) & ~$less(X5,0) & $less(X5,$product(sK13,sK13)) & $less(X4,$product(sK13,sK13)) & ~$less(X4,0)) | size1(X3) != $sum(num1(X3),sK14) | $less(num1(X3),1)) & ! [X7 : $int,X6 : $int] : ((repr1(X3,X6,X7) & X6 = X7 & repr1(X3,X6,X6)) | ~same1(X3,X6,X7) | ~$less(X7,$product(sK13,sK13)) | $less(X7,0) | $less(X6,0) | ~$less(X6,$product(sK13,sK13))) & ! [X8 : $int] : (repr1(X3,X8,X8) | ~$less(X8,$product(sK13,sK13)) | $less(X8,0)) & size1(X3) = $product(sK13,sK13) & num1(X3) = $product(sK13,sK13)) => (($product(sK13,sK13) != size1(sK16) | ? [X5 : $int,X4 : $int] : ((~same1(sK16,X4,X5) | ~path1(sK15,X4,X5)) & (same1(sK16,X4,X5) | path1(sK15,X4,X5)) & ~$less(X5,0) & $less(X5,$product(sK13,sK13)) & $less(X4,$product(sK13,sK13)) & ~$less(X4,0)) | size1(sK16) != $sum(num1(sK16),sK14) | $less(num1(sK16),1)) & ! [X7 : $int,X6 : $int] : ((repr1(sK16,X6,X7) & X6 = X7 & repr1(sK16,X6,X6)) | ~same1(sK16,X6,X7) | ~$less(X7,$product(sK13,sK13)) | $less(X7,0) | $less(X6,0) | ~$less(X6,$product(sK13,sK13))) & ! [X8 : $int] : (repr1(sK16,X8,X8) | ~$less(X8,$product(sK13,sK13)) | $less(X8,0)) & $product(sK13,sK13) = size1(sK16) & $product(sK13,sK13) = num1(sK16))),
19.68/3.14	  introduced(choice_axiom,[])).
19.68/3.14	
19.68/3.14	tff(f119,plain,(
19.68/3.14	  ? [X5 : $int,X4 : $int] : ((~same1(sK16,X4,X5) | ~path1(sK15,X4,X5)) & (same1(sK16,X4,X5) | path1(sK15,X4,X5)) & ~$less(X5,0) & $less(X5,$product(sK13,sK13)) & $less(X4,$product(sK13,sK13)) & ~$less(X4,0)) => ((~same1(sK16,sK17,sK18) | ~path1(sK15,sK17,sK18)) & (same1(sK16,sK17,sK18) | path1(sK15,sK17,sK18)) & ~$less(sK18,0) & $less(sK18,$product(sK13,sK13)) & $less(sK17,$product(sK13,sK13)) & ~$less(sK17,0))),
19.68/3.14	  introduced(choice_axiom,[])).
19.68/3.14	
19.68/3.14	tff(f120,plain,(
19.68/3.14	  (($product(sK13,sK13) != size1(sK16) | ((~same1(sK16,sK17,sK18) | ~path1(sK15,sK17,sK18)) & (same1(sK16,sK17,sK18) | path1(sK15,sK17,sK18)) & ~$less(sK18,0) & $less(sK18,$product(sK13,sK13)) & $less(sK17,$product(sK13,sK13)) & ~$less(sK17,0)) | size1(sK16) != $sum(num1(sK16),sK14) | $less(num1(sK16),1)) & ! [X6 : $int,X7 : $int] : ((repr1(sK16,X6,X7) & X6 = X7 & repr1(sK16,X6,X6)) | ~same1(sK16,X6,X7) | ~$less(X7,$product(sK13,sK13)) | $less(X7,0) | $less(X6,0) | ~$less(X6,$product(sK13,sK13))) & ! [X8 : $int] : (repr1(sK16,X8,X8) | ~$less(X8,$product(sK13,sK13)) | $less(X8,0)) & $product(sK13,sK13) = size1(sK16) & $product(sK13,sK13) = num1(sK16)) & ~$less($product(sK13,sK13),0) & ~$less(sK13,1) & 0 = sK14 & ! [X9 : $int,X10 : $int] : ((path1(sK15,X9,X10) | X9 != X10) & (X9 = X10 | ~path1(sK15,X9,X10)))),
19.68/3.14	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17,sK18])],[f116,f119,f118,f117])).
19.68/3.14	
19.68/3.14	tff(f122,plain,(
19.68/3.14	  ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0) | $less(X1,X0)) )),
19.68/3.14	  inference(cnf_transformation,[],[f75])).
19.68/3.14	
19.68/3.14	tff(f125,plain,(
19.68/3.14	  ( ! [X2 : $int,X0 : uf_pure1,X1 : $int] : (same1(X0,X1,X2) | repr1(X0,X1,sK2(X0,X1,X2)) | repr1(X0,X2,sK2(X0,X1,X2))) )),
19.68/3.14	  inference(cnf_transformation,[],[f101])).
19.68/3.14	
19.68/3.14	tff(f126,plain,(
19.68/3.14	  ( ! [X2 : $int,X0 : uf_pure1,X1 : $int] : (same1(X0,X1,X2) | ~repr1(X0,X1,sK2(X0,X1,X2)) | ~repr1(X0,X2,sK2(X0,X1,X2))) )),
19.68/3.14	  inference(cnf_transformation,[],[f101])).
19.68/3.14	
19.68/3.14	tff(f129,plain,(
19.68/3.14	  ( ! [X2 : $int,X0 : uf_pure1,X1 : $int] : (same1(X0,X1,X2) | $less(X2,0) | ~$less(X2,size1(X0)) | ~$less(X1,size1(X0)) | $less(X1,0) | 1 != num1(X0)) )),
19.68/3.14	  inference(cnf_transformation,[],[f79])).
19.68/3.14	
19.68/3.14	tff(f136,plain,(
19.68/3.14	  ( ! [X0 : graph1,X1 : $int] : (path1(X0,X1,X1)) )),
19.68/3.14	  inference(cnf_transformation,[],[f61])).
19.68/3.14	
19.68/3.14	tff(f154,plain,(
19.68/3.14	  ( ! [X10 : $int,X9 : $int] : (X9 = X10 | ~path1(sK15,X9,X10)) )),
19.68/3.14	  inference(cnf_transformation,[],[f120])).
19.68/3.14	
19.68/3.14	tff(f155,plain,(
19.68/3.14	  ( ! [X10 : $int,X9 : $int] : (path1(sK15,X9,X10) | X9 != X10) )),
19.68/3.14	  inference(cnf_transformation,[],[f120])).
19.68/3.14	
19.68/3.14	tff(f156,plain,(
19.68/3.14	  0 = sK14),
19.68/3.14	  inference(cnf_transformation,[],[f120])).
19.68/3.14	
19.68/3.14	tff(f157,plain,(
19.68/3.14	  ~$less(sK13,1)),
19.68/3.14	  inference(cnf_transformation,[],[f120])).
19.68/3.14	
19.68/3.14	tff(f159,plain,(
19.68/3.14	  $product(sK13,sK13) = num1(sK16)),
19.68/3.14	  inference(cnf_transformation,[],[f120])).
19.68/3.14	
19.68/3.14	tff(f160,plain,(
19.68/3.14	  $product(sK13,sK13) = size1(sK16)),
19.68/3.14	  inference(cnf_transformation,[],[f120])).
19.68/3.14	
19.68/3.14	tff(f163,plain,(
19.68/3.14	  ( ! [X6 : $int,X7 : $int] : (X6 = X7 | ~same1(sK16,X6,X7) | ~$less(X7,$product(sK13,sK13)) | $less(X7,0) | $less(X6,0) | ~$less(X6,$product(sK13,sK13))) )),
19.68/3.14	  inference(cnf_transformation,[],[f120])).
19.68/3.14	
19.68/3.14	tff(f165,plain,(
19.68/3.14	  $product(sK13,sK13) != size1(sK16) | ~$less(sK17,0) | size1(sK16) != $sum(num1(sK16),sK14) | $less(num1(sK16),1)),
19.68/3.14	  inference(cnf_transformation,[],[f120])).
19.68/3.14	
19.68/3.14	tff(f166,plain,(
19.68/3.14	  $product(sK13,sK13) != size1(sK16) | $less(sK17,$product(sK13,sK13)) | size1(sK16) != $sum(num1(sK16),sK14) | $less(num1(sK16),1)),
19.68/3.14	  inference(cnf_transformation,[],[f120])).
19.68/3.14	
19.68/3.14	tff(f167,plain,(
19.68/3.14	  $product(sK13,sK13) != size1(sK16) | $less(sK18,$product(sK13,sK13)) | size1(sK16) != $sum(num1(sK16),sK14) | $less(num1(sK16),1)),
19.68/3.14	  inference(cnf_transformation,[],[f120])).
19.68/3.14	
19.68/3.14	tff(f168,plain,(
19.68/3.14	  $product(sK13,sK13) != size1(sK16) | ~$less(sK18,0) | size1(sK16) != $sum(num1(sK16),sK14) | $less(num1(sK16),1)),
19.68/3.14	  inference(cnf_transformation,[],[f120])).
19.68/3.14	
19.68/3.14	tff(f169,plain,(
19.68/3.14	  $product(sK13,sK13) != size1(sK16) | same1(sK16,sK17,sK18) | path1(sK15,sK17,sK18) | size1(sK16) != $sum(num1(sK16),sK14) | $less(num1(sK16),1)),
19.68/3.14	  inference(cnf_transformation,[],[f120])).
19.68/3.14	
19.68/3.14	tff(f170,plain,(
19.68/3.14	  $product(sK13,sK13) != size1(sK16) | ~same1(sK16,sK17,sK18) | ~path1(sK15,sK17,sK18) | size1(sK16) != $sum(num1(sK16),sK14) | $less(num1(sK16),1)),
19.68/3.14	  inference(cnf_transformation,[],[f120])).
19.68/3.14	
19.68/3.14	tff(f178,plain,(
19.68/3.14	  $product(sK13,sK13) != size1(sK16) | ~same1(sK16,sK17,sK18) | ~path1(sK15,sK17,sK18) | size1(sK16) != $sum(num1(sK16),0) | $less(num1(sK16),1)),
19.68/3.14	  inference(definition_unfolding,[],[f170,f156])).
19.68/3.14	
19.68/3.14	tff(f179,plain,(
19.68/3.14	  $product(sK13,sK13) != size1(sK16) | same1(sK16,sK17,sK18) | path1(sK15,sK17,sK18) | size1(sK16) != $sum(num1(sK16),0) | $less(num1(sK16),1)),
19.68/3.14	  inference(definition_unfolding,[],[f169,f156])).
19.68/3.14	
19.68/3.14	tff(f180,plain,(
19.68/3.14	  $product(sK13,sK13) != size1(sK16) | ~$less(sK18,0) | size1(sK16) != $sum(num1(sK16),0) | $less(num1(sK16),1)),
19.68/3.14	  inference(definition_unfolding,[],[f168,f156])).
19.68/3.14	
19.68/3.14	tff(f181,plain,(
19.68/3.14	  $product(sK13,sK13) != size1(sK16) | $less(sK18,$product(sK13,sK13)) | size1(sK16) != $sum(num1(sK16),0) | $less(num1(sK16),1)),
19.68/3.14	  inference(definition_unfolding,[],[f167,f156])).
19.68/3.14	
19.68/3.14	tff(f182,plain,(
19.68/3.14	  $product(sK13,sK13) != size1(sK16) | $less(sK17,$product(sK13,sK13)) | size1(sK16) != $sum(num1(sK16),0) | $less(num1(sK16),1)),
19.68/3.14	  inference(definition_unfolding,[],[f166,f156])).
19.68/3.14	
19.68/3.14	tff(f183,plain,(
19.68/3.14	  $product(sK13,sK13) != size1(sK16) | ~$less(sK17,0) | size1(sK16) != $sum(num1(sK16),0) | $less(num1(sK16),1)),
19.68/3.14	  inference(definition_unfolding,[],[f165,f156])).
19.68/3.14	
19.68/3.14	tff(f185,plain,(
19.68/3.14	  ( ! [X10 : $int] : (path1(sK15,X10,X10)) )),
19.68/3.14	  inference(equality_resolution,[],[f155])).
19.68/3.14	
19.68/3.14	cnf(c_53,plain,
19.68/3.14	    ($product_int(X0_3,1) = X0_3),
19.68/3.14	    inference(cnf_transformation,[],[f46])).
19.68/3.14	
19.68/3.14	cnf(c_54,plain,
19.68/3.14	    ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
19.68/3.14	    inference(cnf_transformation,[],[f45])).
19.68/3.14	
19.68/3.14	cnf(c_55,plain,
19.68/3.14	    ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
19.68/3.14	    inference(cnf_transformation,[],[f44])).
19.68/3.14	
19.68/3.14	cnf(c_59,plain,
19.68/3.14	    (X0_3 = X1_3|$less_int(X0_3,X1_3)|$less_int(X1_3,X0_3)),
19.68/3.14	    inference(cnf_transformation,[],[f40])).
19.68/3.14	
19.68/3.14	cnf(c_60,plain,
19.68/3.14	    (~$less_int(X0_3,X1_3)|~$less_int(X1_3,X2_3)|$less_int(X0_3,X2_3)),
19.68/3.14	    inference(cnf_transformation,[],[f39])).
19.68/3.14	
19.68/3.14	cnf(c_61,plain,
19.68/3.14	    (~$less_int(X0_3,X0_3)),
19.68/3.14	    inference(cnf_transformation,[],[f38])).
19.68/3.14	
19.68/3.14	cnf(c_65,plain,
19.68/3.14	    ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
19.68/3.14	    inference(cnf_transformation,[],[f34])).
19.68/3.14	
19.68/3.14	cnf(c_66,plain,
19.68/3.14	    ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
19.68/3.14	    inference(cnf_transformation,[],[f33])).
19.68/3.14	
19.68/3.14	cnf(c_68,plain,
19.68/3.14	    (~$less_int($product_int(X0_3,X1_3),$product_int(X2_3,X1_3))|$less_int(X0_3,X2_3)|
19.68/3.14	    $less_int(X1_3,0)),
19.68/3.14	    inference(cnf_transformation,[],[f122])).
19.68/3.14	
19.68/3.14	cnf(c_69,plain,
19.68/3.14	    (~repr1(X0_17,X0_3,sK2(X0_17,X1_3,X0_3))|~repr1(X0_17,X1_3,sK2(X0_17,X1_3,X0_3))|
19.68/3.14	    same1(X0_17,X1_3,X0_3)),
19.68/3.14	    inference(cnf_transformation,[],[f126])).
19.68/3.14	
19.68/3.14	cnf(c_70,plain,
19.68/3.14	    (repr1(X0_17,X0_3,sK2(X0_17,X1_3,X0_3))|repr1(X0_17,X1_3,sK2(X0_17,X1_3,X0_3))|
19.68/3.14	    same1(X0_17,X1_3,X0_3)),
19.68/3.14	    inference(cnf_transformation,[],[f125])).
19.68/3.14	
19.68/3.14	cnf(c_75,plain,
19.68/3.14	    (num1(X0_17) != 1|~$less_int(X0_3,size1(X0_17))|~$less_int(X1_3,size1(X0_17))|
19.68/3.14	    same1(X0_17,X1_3,X0_3)|$less_int(X0_3,0)|$less_int(X1_3,0)),
19.68/3.14	    inference(cnf_transformation,[],[f129])).
19.68/3.14	
19.68/3.14	cnf(c_82,plain,
19.68/3.14	    (path1(X0_19,X0_3,X0_3)),
19.68/3.14	    inference(cnf_transformation,[],[f136])).
19.68/3.14	
19.68/3.14	cnf(c_100,negated_conjecture,
19.68/3.14	    ($sum_int(num1(sK16),0) != size1(sK16)|$product_int(sK13,sK13) != size1(sK16)|
19.68/3.14	    ~same1(sK16,sK17,sK18)|~path1(sK15,sK17,sK18)|$less_int(num1(sK16),1)),
19.68/3.14	    inference(cnf_transformation,[],[f178])).
19.68/3.14	
19.68/3.14	cnf(c_101,negated_conjecture,
19.68/3.14	    ($sum_int(num1(sK16),0) != size1(sK16)|$product_int(sK13,sK13) != size1(sK16)|
19.68/3.14	    $less_int(num1(sK16),1)|same1(sK16,sK17,sK18)|path1(sK15,sK17,sK18)),
19.68/3.14	    inference(cnf_transformation,[],[f179])).
19.68/3.14	
19.68/3.14	cnf(c_102,negated_conjecture,
19.68/3.14	    ($sum_int(num1(sK16),0) != size1(sK16)|$product_int(sK13,sK13) != size1(sK16)|
19.68/3.14	    ~$less_int(sK18,0)|$less_int(num1(sK16),1)),
19.68/3.14	    inference(cnf_transformation,[],[f180])).
19.68/3.14	
19.68/3.14	cnf(c_103,negated_conjecture,
19.68/3.14	    ($sum_int(num1(sK16),0) != size1(sK16)|$product_int(sK13,sK13) != size1(sK16)|
19.68/3.14	    $less_int(sK18,$product_int(sK13,sK13))|$less_int(num1(sK16),1)),
19.68/3.14	    inference(cnf_transformation,[],[f181])).
19.68/3.14	
19.68/3.14	cnf(c_104,negated_conjecture,
19.68/3.14	    ($sum_int(num1(sK16),0) != size1(sK16)|$product_int(sK13,sK13) != size1(sK16)|
19.68/3.14	    $less_int(sK17,$product_int(sK13,sK13))|$less_int(num1(sK16),1)),
19.68/3.14	    inference(cnf_transformation,[],[f182])).
19.68/3.14	
19.68/3.14	cnf(c_105,negated_conjecture,
19.68/3.14	    ($sum_int(num1(sK16),0) != size1(sK16)|$product_int(sK13,sK13) != size1(sK16)|
19.68/3.14	    ~$less_int(sK17,0)|$less_int(num1(sK16),1)),
19.68/3.14	    inference(cnf_transformation,[],[f183])).
19.68/3.14	
19.68/3.14	cnf(c_107,negated_conjecture,
19.68/3.14	    (~$less_int(X0_3,$product_int(sK13,sK13))|~$less_int(X1_3,$product_int(sK13,sK13))|
19.68/3.14	    ~same1(sK16,X0_3,X1_3)|X0_3 = X1_3|$less_int(X0_3,0)|$less_int(X1_3,0)),
19.68/3.14	    inference(cnf_transformation,[],[f163])).
19.68/3.14	
19.68/3.14	cnf(c_110,negated_conjecture,
19.68/3.14	    ($product_int(sK13,sK13) = size1(sK16)),
19.68/3.14	    inference(cnf_transformation,[],[f160])).
19.68/3.14	
19.68/3.14	cnf(c_111,negated_conjecture,
19.68/3.14	    ($product_int(sK13,sK13) = num1(sK16)),
19.68/3.14	    inference(cnf_transformation,[],[f159])).
19.68/3.14	
19.68/3.14	cnf(c_113,negated_conjecture,
19.68/3.14	    (~$less_int(sK13,1)),
19.68/3.14	    inference(cnf_transformation,[],[f157])).
19.68/3.14	
19.68/3.14	cnf(c_114,negated_conjecture,
19.68/3.14	    (path1(sK15,X0_3,X0_3)),
19.68/3.14	    inference(cnf_transformation,[],[f185])).
19.68/3.14	
19.68/3.14	cnf(c_115,negated_conjecture,
19.68/3.14	    (~path1(sK15,X0_3,X1_3)|X0_3 = X1_3),
19.68/3.14	    inference(cnf_transformation,[],[f154])).
19.68/3.14	
19.68/3.14	cnf(c_123,plain,($less_int(0,1)),theory(arith)).
19.68/3.14	
19.68/3.14	cnf(c_124,plain,
19.68/3.14	    (path1(sK15,sK13,sK13)),
19.68/3.14	    inference(instantiation,[status(thm)],[c_114])).
19.68/3.14	
19.68/3.14	cnf(c_127,plain,
19.68/3.14	    (~$less_int(sK13,sK13)),
19.68/3.14	    inference(instantiation,[status(thm)],[c_61])).
19.68/3.14	
19.68/3.14	cnf(c_142,plain,
19.68/3.14	    (~path1(sK15,sK13,sK13)|sK13 = sK13),
19.68/3.14	    inference(instantiation,[status(thm)],[c_115])).
19.68/3.14	
19.68/3.14	cnf(c_174,negated_conjecture,
19.68/3.14	    ($sum_int(num1(sK16),0) != size1(sK16)|~$less_int(sK17,0)|$less_int(num1(sK16),1)),
19.68/3.14	    inference(global_subsumption_just,[status(thm)],[c_105,c_110,c_105])).
19.68/3.14	
19.68/3.14	cnf(c_176,negated_conjecture,
19.68/3.14	    ($sum_int(num1(sK16),0) != size1(sK16)|~$less_int(sK18,0)|$less_int(num1(sK16),1)),
19.68/3.14	    inference(global_subsumption_just,[status(thm)],[c_102,c_110,c_102])).
19.68/3.14	
19.68/3.14	cnf(c_178,negated_conjecture,
19.68/3.14	    ($sum_int(num1(sK16),0) != size1(sK16)|$less_int(sK17,$product_int(sK13,sK13))|
19.68/3.14	    $less_int(num1(sK16),1)),
19.68/3.14	    inference(global_subsumption_just,[status(thm)],[c_104,c_110,c_104])).
19.68/3.14	
19.68/3.14	cnf(c_180,negated_conjecture,
19.68/3.14	    ($sum_int(num1(sK16),0) != size1(sK16)|$less_int(sK18,$product_int(sK13,sK13))|
19.68/3.14	    $less_int(num1(sK16),1)),
19.68/3.14	    inference(global_subsumption_just,[status(thm)],[c_103,c_110,c_103])).
19.68/3.14	
19.68/3.14	cnf(c_184,negated_conjecture,
19.68/3.14	    ($sum_int(num1(sK16),0) != size1(sK16)|$less_int(num1(sK16),1)|same1(sK16,sK17,sK18)|
19.68/3.14	    path1(sK15,sK17,sK18)),
19.68/3.14	    inference(global_subsumption_just,[status(thm)],[c_101,c_110,c_101])).
19.68/3.14	
19.68/3.14	cnf(c_186,negated_conjecture,
19.68/3.14	    ($sum_int(num1(sK16),0) != size1(sK16)|~same1(sK16,sK17,sK18)|~path1(sK15,sK17,sK18)|
19.68/3.14	    $less_int(num1(sK16),1)),
19.68/3.14	    inference(global_subsumption_just,[status(thm)],[c_100,c_110,c_100])).
19.68/3.14	
19.68/3.14	cnf(c_188,negated_conjecture,
19.68/3.14	    ($sum_int(0,num1(sK16)) != size1(sK16)|~$less_int(sK17,0)|$less_int(num1(sK16),1)),
19.68/3.14	    inference(theory_normalisation,[status(thm)],[c_174,c_54,c_55,c_65,c_66])).
19.68/3.14	
19.68/3.14	cnf(c_189,negated_conjecture,
19.68/3.14	    ($sum_int(0,num1(sK16)) != size1(sK16)|~$less_int(sK18,0)|$less_int(num1(sK16),1)),
19.68/3.14	    inference(theory_normalisation,[status(thm)],[c_176,c_54,c_55,c_65,c_66])).
19.68/3.14	
19.68/3.14	cnf(c_190,negated_conjecture,
19.68/3.14	    ($sum_int(0,num1(sK16)) != size1(sK16)|$less_int(sK17,$product_int(sK13,sK13))|
19.68/3.14	    $less_int(num1(sK16),1)),
19.68/3.14	    inference(theory_normalisation,[status(thm)],[c_178,c_54,c_55,c_65,c_66])).
19.68/3.14	
19.68/3.14	cnf(c_191,negated_conjecture,
19.68/3.14	    ($sum_int(0,num1(sK16)) != size1(sK16)|$less_int(sK18,$product_int(sK13,sK13))|
19.68/3.14	    $less_int(num1(sK16),1)),
19.68/3.14	    inference(theory_normalisation,[status(thm)],[c_180,c_54,c_55,c_65,c_66])).
19.68/3.14	
19.68/3.14	cnf(c_192,negated_conjecture,
19.68/3.14	    ($sum_int(0,num1(sK16)) != size1(sK16)|$less_int(num1(sK16),1)|same1(sK16,sK17,sK18)|
19.68/3.14	    path1(sK15,sK17,sK18)),
19.68/3.14	    inference(theory_normalisation,[status(thm)],[c_184,c_54,c_55,c_65,c_66])).
19.68/3.14	
19.68/3.14	cnf(c_193,negated_conjecture,
19.68/3.14	    ($sum_int(0,num1(sK16)) != size1(sK16)|~same1(sK16,sK17,sK18)|~path1(sK15,sK17,sK18)|
19.68/3.14	    $less_int(num1(sK16),1)),
19.68/3.14	    inference(theory_normalisation,[status(thm)],[c_186,c_54,c_55,c_65,c_66])).
19.68/3.14	
19.68/3.14	cnf(c_228,plain,
19.68/3.14	    (~path1(sK15,X0_3,X1_3)|X0_3 = X1_3),
19.68/3.14	    inference(prop_impl_just,[status(thm)],[c_115])).
19.68/3.14	
19.68/3.14	cnf(c_716,plain,
19.68/3.14	    (size1(sK16) = num1(sK16)),
19.68/3.14	    inference(demodulation,[status(thm)],[c_111,c_110])).
19.68/3.14	
19.68/3.14	cnf(c_841,plain,
19.68/3.14	    (size1(sK16) != num1(sK16)|~$less_int(sK18,0)|$less_int(num1(sK16),1)),
19.68/3.14	    inference(smt_theory_normalisation,[status(thm)],[c_189])).
19.68/3.14	
19.68/3.14	cnf(c_842,plain,
19.68/3.14	    (size1(sK16) != num1(sK16)|~$less_int(sK18,0)|$less_int(size1(sK16),1)),
19.68/3.14	    inference(light_normalisation,[status(thm)],[c_841,c_716])).
19.68/3.14	
19.68/3.14	cnf(c_843,plain,
19.68/3.14	    (size1(sK16) != size1(sK16)|~$less_int(sK18,0)|$less_int(size1(sK16),1)),
19.68/3.14	    inference(demodulation,[status(thm)],[c_842,c_716])).
19.68/3.14	
19.68/3.14	cnf(c_844,plain,
19.68/3.14	    (~$less_int(sK18,0)|$less_int(size1(sK16),1)),
19.68/3.14	    inference(equality_resolution_simp,[status(thm)],[c_843])).
19.68/3.14	
19.68/3.14	cnf(c_851,plain,
19.68/3.14	    (size1(sK16) != num1(sK16)|~$less_int(sK17,0)|$less_int(num1(sK16),1)),
19.68/3.14	    inference(smt_theory_normalisation,[status(thm)],[c_188])).
19.68/3.14	
19.68/3.14	cnf(c_852,plain,
19.68/3.14	    (size1(sK16) != num1(sK16)|~$less_int(sK17,0)|$less_int(size1(sK16),1)),
19.68/3.14	    inference(light_normalisation,[status(thm)],[c_851,c_716])).
19.68/3.14	
19.68/3.14	cnf(c_853,plain,
19.68/3.14	    (size1(sK16) != size1(sK16)|~$less_int(sK17,0)|$less_int(size1(sK16),1)),
19.68/3.14	    inference(demodulation,[status(thm)],[c_852,c_716])).
19.68/3.14	
19.68/3.14	cnf(c_854,plain,
19.68/3.14	    (~$less_int(sK17,0)|$less_int(size1(sK16),1)),
19.68/3.14	    inference(equality_resolution_simp,[status(thm)],[c_853])).
19.68/3.14	
19.68/3.14	cnf(c_867,plain,
19.68/3.14	    (size1(sK16) != num1(sK16)|$less_int(sK18,$product_int(sK13,sK13))|
19.68/3.14	    $less_int(num1(sK16),1)),
19.68/3.14	    inference(smt_theory_normalisation,[status(thm)],[c_191])).
19.68/3.14	
19.68/3.14	cnf(c_868,plain,
19.68/3.14	    (size1(sK16) != num1(sK16)|$less_int(size1(sK16),1)|$less_int(sK18,size1(sK16))),
19.68/3.14	    inference(light_normalisation,[status(thm)],[c_867,c_110,c_716])).
19.68/3.14	
19.68/3.14	cnf(c_869,plain,
19.68/3.14	    (size1(sK16) != size1(sK16)|$less_int(size1(sK16),1)|$less_int(sK18,size1(sK16))),
19.68/3.14	    inference(demodulation,[status(thm)],[c_868,c_716])).
19.68/3.14	
19.68/3.14	cnf(c_870,plain,
19.68/3.14	    ($less_int(size1(sK16),1)|$less_int(sK18,size1(sK16))),
19.68/3.14	    inference(equality_resolution_simp,[status(thm)],[c_869])).
19.68/3.14	
19.68/3.14	cnf(c_877,plain,
19.68/3.14	    (size1(sK16) != num1(sK16)|$less_int(sK17,$product_int(sK13,sK13))|
19.68/3.14	    $less_int(num1(sK16),1)),
19.68/3.14	    inference(smt_theory_normalisation,[status(thm)],[c_190])).
19.68/3.14	
19.68/3.14	cnf(c_878,plain,
19.68/3.14	    (size1(sK16) != num1(sK16)|$less_int(size1(sK16),1)|$less_int(sK17,size1(sK16))),
19.68/3.14	    inference(light_normalisation,[status(thm)],[c_877,c_110,c_716])).
19.68/3.14	
19.68/3.14	cnf(c_879,plain,
19.68/3.14	    (size1(sK16) != size1(sK16)|$less_int(size1(sK16),1)|$less_int(sK17,size1(sK16))),
19.68/3.14	    inference(demodulation,[status(thm)],[c_878,c_716])).
19.68/3.14	
19.68/3.14	cnf(c_880,plain,
19.68/3.14	    ($less_int(size1(sK16),1)|$less_int(sK17,size1(sK16))),
19.68/3.14	    inference(equality_resolution_simp,[status(thm)],[c_879])).
19.68/3.14	
19.68/3.14	cnf(c_935,plain,
19.68/3.14	    (size1(sK16) != num1(sK16)|$less_int(num1(sK16),1)|same1(sK16,sK17,sK18)|
19.68/3.14	    path1(sK15,sK17,sK18)),
19.68/3.14	    inference(smt_theory_normalisation,[status(thm)],[c_192])).
19.68/3.14	
19.68/3.14	cnf(c_936,plain,
19.68/3.14	    (size1(sK16) != num1(sK16)|$less_int(size1(sK16),1)|same1(sK16,sK17,sK18)|
19.68/3.14	    path1(sK15,sK17,sK18)),
19.68/3.14	    inference(light_normalisation,[status(thm)],[c_935,c_716])).
19.68/3.14	
19.68/3.14	cnf(c_937,plain,
19.68/3.14	    (size1(sK16) != size1(sK16)|$less_int(size1(sK16),1)|same1(sK16,sK17,sK18)|
19.68/3.14	    path1(sK15,sK17,sK18)),
19.68/3.14	    inference(demodulation,[status(thm)],[c_936,c_716])).
19.68/3.14	
19.68/3.14	cnf(c_938,plain,
19.68/3.14	    ($less_int(size1(sK16),1)|same1(sK16,sK17,sK18)|path1(sK15,sK17,sK18)),
19.68/3.14	    inference(equality_resolution_simp,[status(thm)],[c_937])).
19.68/3.14	
19.68/3.14	cnf(c_978,plain,
19.68/3.14	    (size1(sK16) != num1(sK16)|~same1(sK16,sK17,sK18)|~path1(sK15,sK17,sK18)|
19.68/3.14	    $less_int(num1(sK16),1)),
19.68/3.14	    inference(smt_theory_normalisation,[status(thm)],[c_193])).
19.68/3.14	
19.68/3.14	cnf(c_979,plain,
19.68/3.14	    (size1(sK16) != num1(sK16)|~same1(sK16,sK17,sK18)|~path1(sK15,sK17,sK18)|
19.68/3.14	    $less_int(size1(sK16),1)),
19.68/3.14	    inference(light_normalisation,[status(thm)],[c_978,c_716])).
19.68/3.14	
19.68/3.14	cnf(c_980,plain,
19.68/3.14	    (size1(sK16) != size1(sK16)|~same1(sK16,sK17,sK18)|~path1(sK15,sK17,sK18)|
19.68/3.14	    $less_int(size1(sK16),1)),
19.68/3.14	    inference(demodulation,[status(thm)],[c_979,c_716])).
19.68/3.14	
19.68/3.14	cnf(c_981,plain,
19.68/3.14	    (~same1(sK16,sK17,sK18)|~path1(sK15,sK17,sK18)|$less_int(size1(sK16),1)),
19.68/3.14	    inference(equality_resolution_simp,[status(thm)],[c_980])).
19.68/3.14	
19.68/3.14	cnf(c_1003,plain,
19.68/3.14	    (~same1(sK16,X0_3,X1_3)|~$less_int(X0_3,size1(sK16))|~$less_int(X1_3,size1(sK16))|
19.68/3.14	    X0_3 = X1_3|$less_int(X0_3,0)|$less_int(X1_3,0)),
19.68/3.14	    inference(light_normalisation,[status(thm)],[c_107,c_110])).
19.68/3.14	
19.68/3.14	cnf(c_1659,plain,
19.68/3.14	    (num1(X0_17) != 1|X0_3 != sK18|X0_17 != sK16|X1_3 != sK17|~$less_int(X0_3,size1(X0_17))|
19.68/3.14	    ~$less_int(X1_3,size1(X0_17))|~path1(sK15,sK17,sK18)|$less_int(size1(sK16),1)|
19.68/3.14	    $less_int(X0_3,0)|$less_int(X1_3,0)),
19.68/3.14	    inference(resolution_lifted,[status(thm)],[c_75,c_981])).
19.68/3.14	
19.68/3.14	cnf(c_1660,plain,
19.68/3.14	    (num1(sK16) != 1|~$less_int(sK17,size1(sK16))|~$less_int(sK18,size1(sK16))|
19.68/3.14	    ~path1(sK15,sK17,sK18)|$less_int(size1(sK16),1)|$less_int(sK17,0)|
19.68/3.14	    $less_int(sK18,0)),
19.68/3.14	    inference(unflattening,[status(thm)],[c_1659])).
19.68/3.14	
19.68/3.14	cnf(c_1661,plain,
19.68/3.14	    (num1(sK16) != 1|~path1(sK15,sK17,sK18)|$less_int(size1(sK16),1)),
19.68/3.14	    inference(global_subsumption_just,
19.68/3.14	              [status(thm)],
19.68/3.14	              [c_1660,c_844,c_854,c_870,c_880,c_1660])).
19.68/3.14	
19.68/3.14	cnf(c_1878,plain,
19.68/3.14	    (X0_3 != sK17|X1_3 != sK18|sK16 != sK16|~$less_int(X0_3,size1(sK16))|
19.68/3.14	    ~$less_int(X1_3,size1(sK16))|X0_3 = X1_3|$less_int(size1(sK16),1)|
19.68/3.14	    path1(sK15,sK17,sK18)|$less_int(X0_3,0)|$less_int(X1_3,0)),
19.68/3.14	    inference(resolution_lifted,[status(thm)],[c_938,c_1003])).
19.68/3.14	
19.68/3.14	cnf(c_1879,plain,
19.68/3.14	    (~$less_int(sK17,size1(sK16))|~$less_int(sK18,size1(sK16))|sK17 = sK18|
19.68/3.14	    $less_int(size1(sK16),1)|path1(sK15,sK17,sK18)|$less_int(sK17,0)|
19.68/3.14	    $less_int(sK18,0)),
19.68/3.14	    inference(unflattening,[status(thm)],[c_1878])).
19.68/3.14	
19.68/3.14	cnf(c_1880,plain,
19.68/3.14	    (sK17 = sK18|$less_int(size1(sK16),1)|path1(sK15,sK17,sK18)),
19.68/3.14	    inference(global_subsumption_just,
19.68/3.14	              [status(thm)],
19.68/3.14	              [c_1879,c_844,c_854,c_870,c_880,c_1879])).
19.68/3.14	
19.68/3.14	cnf(c_1888,plain,
19.68/3.14	    (sK17 = sK18|$less_int(size1(sK16),1)),
19.68/3.14	    inference(forward_subsumption_resolution,[status(thm)],[c_1880,c_228])).
19.68/3.14	
19.68/3.14	cnf(c_3586,plain,($product_int(sK13,sK13) = sP0_iProver_def),definition).
19.68/3.14	
19.68/3.14	cnf(c_3587,plain,(size1(sK16) = sP1_iProver_def),definition).
19.68/3.14	
19.68/3.14	cnf(c_3590,negated_conjecture,
19.68/3.14	    (sP0_iProver_def = sP1_iProver_def),
19.68/3.14	    inference(demodulation,[status(thm)],[c_110,c_3587,c_3586])).
19.68/3.14	
19.68/3.14	cnf(c_3592,plain,(X0_3 = X0_3),theory(equality)).
19.68/3.14	
19.68/3.14	cnf(c_3594,plain,(X0_17 = X0_17),theory(equality)).
19.68/3.14	
19.68/3.14	cnf(c_3596,plain,(X0_19 = X0_19),theory(equality)).
19.68/3.14	
19.68/3.14	cnf(c_3597,plain,(X0_3 != X1_3|X2_3 != X1_3|X2_3 = X0_3),theory(equality)).
19.68/3.14	
19.68/3.14	cnf(c_3603,plain,
19.68/3.14	    (X0_3 != X1_3|X2_3 != X3_3|$product_int(X0_3,X2_3) = $product_int(X1_3,X3_3)),
19.68/3.14	    theory(equality)).
19.68/3.14	
19.68/3.14	cnf(c_3605,plain,
19.68/3.14	    (X0_3 != X1_3|X2_3 != X3_3|~$less_int(X1_3,X3_3)|$less_int(X0_3,X2_3)),
19.68/3.14	    theory(equality)).
19.68/3.14	
19.68/3.14	cnf(c_3607,plain,
19.68/3.14	    (X0_17 != X1_17|num1(X0_17) = num1(X1_17)),
19.68/3.14	    theory(equality)).
19.68/3.14	
19.68/3.14	cnf(c_3611,plain,
19.68/3.14	    (X0_3 != X1_3|X0_17 != X1_17|X2_3 != X3_3|~same1(X1_17,X1_3,X3_3)|
19.68/3.14	    same1(X0_17,X0_3,X2_3)),
19.68/3.14	    theory(equality)).
19.68/3.14	
19.68/3.14	cnf(c_3612,plain,
19.68/3.14	    (X0_3 != X1_3|X0_19 != X1_19|X2_3 != X3_3|~path1(X1_19,X1_3,X3_3)|
19.68/3.14	    path1(X0_19,X0_3,X2_3)),
19.68/3.14	    theory(equality)).
19.68/3.14	
19.68/3.14	cnf(c_3623,plain,
19.68/3.14	    (sK15 = sK15),
19.68/3.14	    inference(instantiation,[status(thm)],[c_3596])).
19.68/3.14	
19.68/3.14	cnf(c_4902,plain,
19.68/3.14	    (sK13 = 1|$less_int(sK13,1)|$less_int(1,sK13)),
19.68/3.14	    inference(instantiation,[status(thm)],[c_59])).
19.68/3.14	
19.68/3.14	cnf(c_4921,plain,
19.68/3.14	    (~$less_int(size1(sK16),1)|~$less_int(1,X0_3)|$less_int(size1(sK16),X0_3)),
19.68/3.14	    inference(instantiation,[status(thm)],[c_60])).
19.68/3.14	
19.68/3.14	cnf(c_4922,plain,
19.68/3.14	    (~$less_int(size1(sK16),1)|~$less_int(1,sK13)|$less_int(size1(sK16),sK13)),
19.68/3.14	    inference(instantiation,[status(thm)],[c_4921])).
19.68/3.14	
19.68/3.14	cnf(c_4924,plain,
19.68/3.14	    (X0_3 != size1(sK16)|X1_3 != 1|~$less_int(size1(sK16),1)|$less_int(X0_3,X1_3)),
19.68/3.14	    inference(instantiation,[status(thm)],[c_3605])).
19.68/3.14	
19.68/3.14	cnf(c_4930,plain,
19.68/3.14	    (num1(X0_17) != X0_3|1 != X0_3|num1(X0_17) = 1),
19.68/3.14	    inference(instantiation,[status(thm)],[c_3597])).
19.68/3.14	
19.68/3.14	cnf(c_4931,plain,
19.68/3.14	    (num1(sK16) != sK13|1 != sK13|num1(sK16) = 1),
19.68/3.14	    inference(instantiation,[status(thm)],[c_4930])).
19.68/3.14	
19.68/3.14	cnf(c_4934,plain,
19.68/3.14	    (repr1(sK16,X0_3,sK2(sK16,sK18,X0_3))|repr1(sK16,sK18,sK2(sK16,sK18,X0_3))|
19.68/3.14	    same1(sK16,sK18,X0_3)),
19.68/3.14	    inference(instantiation,[status(thm)],[c_70])).
19.68/3.14	
19.68/3.14	cnf(c_5235,plain,
19.68/3.14	    (~$less_int(X0_3,0)|$less_int(X0_3,1)),
19.68/3.14	    inference(resolution,[status(thm)],[c_60,c_123])).
19.68/3.14	
19.68/3.14	cnf(c_5236,plain,
19.68/3.14	    (~$less_int(sK13,0)|$less_int(sK13,1)),
19.68/3.14	    inference(instantiation,[status(thm)],[c_5235])).
19.68/3.14	
19.68/3.14	cnf(c_5992,plain,
19.68/3.14	    (X0_3 != X1_3|1 != X1_3|1 = X0_3),
19.68/3.14	    inference(instantiation,[status(thm)],[c_3597])).
19.68/3.14	
19.68/3.14	cnf(c_7060,plain,
19.68/3.14	    (X0_3 != X1_3|X2_3 = X0_3|$less_int(X1_3,X2_3)|$less_int(X2_3,X1_3)),
19.68/3.14	    inference(resolution,[status(thm)],[c_3597,c_59])).
19.68/3.14	
19.68/3.14	cnf(c_7072,plain,
19.68/3.14	    (X0_3 != X1_3|X1_3 = X0_3),
19.68/3.14	    inference(resolution,[status(thm)],[c_3597,c_3592])).
19.68/3.14	
19.68/3.14	cnf(c_7081,plain,
19.68/3.14	    (X0_3 != sP0_iProver_def|$product_int(sK13,sK13) = X0_3),
19.68/3.14	    inference(resolution,[status(thm)],[c_3597,c_3586])).
19.68/3.14	
19.68/3.14	cnf(c_7083,plain,
19.68/3.14	    (X0_3 != sP1_iProver_def|size1(sK16) = X0_3),
19.68/3.14	    inference(resolution,[status(thm)],[c_3597,c_3587])).
19.68/3.14	
19.68/3.14	cnf(c_7085,plain,
19.68/3.14	    (X0_3 != sP1_iProver_def|sP0_iProver_def = X0_3),
19.68/3.14	    inference(resolution,[status(thm)],[c_3597,c_3590])).
19.68/3.14	
19.68/3.14	cnf(c_7156,plain,
19.68/3.14	    (sP0_iProver_def = size1(sK16)),
19.68/3.14	    inference(resolution,[status(thm)],[c_7085,c_3587])).
19.68/3.14	
19.68/3.14	cnf(c_7520,plain,
19.68/3.14	    (X0_3 != X1_3|~$less_int(X1_3,X2_3)|$less_int(X0_3,$product_int(X2_3,1))),
19.68/3.14	    inference(resolution,[status(thm)],[c_3605,c_53])).
19.68/3.14	
19.68/3.14	cnf(c_7523,plain,
19.68/3.14	    (X0_3 != X1_3|~$less_int(X1_3,$product_int(X2_3,X3_3))|$less_int(X0_3,$product_int(X3_3,X2_3))),
19.68/3.14	    inference(resolution,[status(thm)],[c_3605,c_55])).
19.68/3.14	
19.68/3.14	cnf(c_7525,plain,
19.68/3.14	    (X0_3 != X1_3|~$less_int(X1_3,X2_3)|$less_int(X0_3,X3_3)|$less_int(X2_3,X3_3)|
19.68/3.14	    $less_int(X3_3,X2_3)),
19.68/3.14	    inference(resolution,[status(thm)],[c_3605,c_59])).
19.68/3.14	
19.68/3.14	cnf(c_7535,plain,
19.68/3.14	    (X0_3 != X1_3|~$less_int(X1_3,X2_3)|$less_int(X0_3,X2_3)),
19.68/3.14	    inference(resolution,[status(thm)],[c_3605,c_3592])).
19.68/3.14	
19.68/3.14	cnf(c_7545,plain,
19.68/3.14	    (X0_3 != X1_3|~$less_int(X1_3,sP1_iProver_def)|$less_int(X0_3,sP0_iProver_def)),
19.68/3.14	    inference(resolution,[status(thm)],[c_3605,c_3590])).
19.68/3.14	
19.68/3.14	cnf(c_7714,plain,
19.68/3.14	    (X0_17 != X1_17|~$less_int(num1(X1_17),sP1_iProver_def)|$less_int(num1(X0_17),sP0_iProver_def)),
19.68/3.14	    inference(resolution,[status(thm)],[c_7545,c_3607])).
19.68/3.14	
19.68/3.14	cnf(c_7724,plain,
19.68/3.14	    (~$less_int(size1(sK16),sP1_iProver_def)|$less_int(sP0_iProver_def,sP0_iProver_def)),
19.68/3.14	    inference(resolution,[status(thm)],[c_7545,c_7156])).
19.68/3.14	
19.68/3.14	cnf(c_7833,plain,
19.68/3.14	    (~$less_int(size1(sK16),sP1_iProver_def)),
19.68/3.14	    inference(forward_subsumption_resolution,[status(thm)],[c_7724,c_61])).
19.68/3.14	
19.68/3.14	cnf(c_8016,plain,
19.68/3.14	    (X0_3 != X1_3|X2_3 != X3_3|~$less_int($product_int(X1_3,X3_3),sP1_iProver_def)|
19.68/3.14	    $less_int($product_int(X0_3,X2_3),sP0_iProver_def)),
19.68/3.14	    inference(resolution,[status(thm)],[c_3603,c_7545])).
19.68/3.14	
19.68/3.14	cnf(c_8792,plain,
19.68/3.14	    (~$less_int(num1(X0_17),sP1_iProver_def)|$less_int(num1(X0_17),sP0_iProver_def)),
19.68/3.14	    inference(resolution,[status(thm)],[c_7714,c_3594])).
19.68/3.14	
19.68/3.14	cnf(c_8793,plain,
19.68/3.14	    (~$less_int(num1(sK16),sP1_iProver_def)|$less_int(num1(sK16),sP0_iProver_def)),
19.68/3.14	    inference(instantiation,[status(thm)],[c_8792])).
19.68/3.14	
19.68/3.14	cnf(c_9306,plain,
19.68/3.14	    (num1(sK16) = size1(sK16)),
19.68/3.14	    inference(resolution,[status(thm)],[c_7072,c_716])).
19.68/3.14	
19.68/3.14	cnf(c_9314,plain,
19.68/3.14	    (sP0_iProver_def = $product_int(sK13,sK13)),
19.68/3.14	    inference(resolution,[status(thm)],[c_7072,c_3586])).
19.68/3.14	
19.68/3.14	cnf(c_9316,plain,
19.68/3.14	    (sP1_iProver_def = sP0_iProver_def),
19.68/3.14	    inference(resolution,[status(thm)],[c_7072,c_3590])).
19.68/3.14	
19.68/3.14	cnf(c_9402,plain,
19.68/3.14	    (X0_3 != X1_3|~$less_int(X1_3,sP0_iProver_def)|$less_int(X0_3,sP1_iProver_def)),
19.68/3.14	    inference(resolution,[status(thm)],[c_9316,c_3605])).
19.68/3.14	
19.68/3.14	cnf(c_9424,plain,
19.68/3.14	    (X0_3 != size1(sK16)|num1(sK16) = X0_3),
19.68/3.14	    inference(resolution,[status(thm)],[c_9306,c_3597])).
19.68/3.14	
19.68/3.14	cnf(c_9425,plain,
19.68/3.14	    (sK13 != size1(sK16)|num1(sK16) = sK13),
19.68/3.14	    inference(instantiation,[status(thm)],[c_9424])).
19.68/3.14	
19.68/3.14	cnf(c_9609,plain,
19.68/3.14	    (~$less_int($product_int(X0_3,X1_3),sP0_iProver_def)|$less_int($product_int(X1_3,X0_3),sP1_iProver_def)),
19.68/3.14	    inference(resolution,[status(thm)],[c_9402,c_55])).
19.68/3.14	
19.68/3.14	cnf(c_9610,plain,
19.68/3.14	    (~$less_int($product_int(sK13,sK13),sP0_iProver_def)|$less_int($product_int(sK13,sK13),sP1_iProver_def)),
19.68/3.14	    inference(instantiation,[status(thm)],[c_9609])).
19.68/3.14	
19.68/3.14	cnf(c_9628,plain,
19.68/3.14	    (~$less_int(num1(sK16),sP0_iProver_def)|$less_int(size1(sK16),sP1_iProver_def)),
19.68/3.14	    inference(resolution,[status(thm)],[c_9402,c_716])).
19.68/3.14	
19.68/3.14	cnf(c_9629,plain,
19.68/3.14	    (~$less_int(size1(sK16),sP0_iProver_def)|$less_int(num1(sK16),sP1_iProver_def)),
19.68/3.14	    inference(resolution,[status(thm)],[c_9402,c_9306])).
19.68/3.14	
19.68/3.14	cnf(c_9658,plain,
19.68/3.14	    (X0_3 != 1|1 != 1|1 = X0_3),
19.68/3.14	    inference(instantiation,[status(thm)],[c_5992])).
19.68/3.14	
19.68/3.14	cnf(c_9659,plain,
19.68/3.14	    (X0_3 != 1|1 = X0_3),
19.68/3.14	    inference(equality_resolution_simp,[status(thm)],[c_9658])).
19.68/3.14	
19.68/3.14	cnf(c_9660,plain,
19.68/3.14	    (sK13 != 1|1 = sK13),
19.68/3.14	    inference(instantiation,[status(thm)],[c_9659])).
19.68/3.14	
19.68/3.14	cnf(c_9853,plain,
19.68/3.14	    (X0_3 != sP1_iProver_def|~$less_int(X0_3,sP1_iProver_def)|$less_int(size1(sK16),sP0_iProver_def)),
19.68/3.14	    inference(resolution,[status(thm)],[c_7083,c_7545])).
19.68/3.14	
19.68/3.14	cnf(c_10168,plain,
19.68/3.14	    (~$less_int(X0_3,sP1_iProver_def)|X0_3 != sP1_iProver_def),
19.68/3.14	    inference(global_subsumption_just,
19.68/3.14	              [status(thm)],
19.68/3.14	              [c_9853,c_7833,c_8793,c_9628,c_9629,c_9853])).
19.68/3.14	
19.68/3.14	cnf(c_10169,plain,
19.68/3.14	    (X0_3 != sP1_iProver_def|~$less_int(X0_3,sP1_iProver_def)),
19.68/3.14	    inference(renaming,[status(thm)],[c_10168])).
19.68/3.14	
19.68/3.14	cnf(c_10599,plain,
19.68/3.14	    (sP1_iProver_def != sP0_iProver_def|~$less_int($product_int(sK13,sK13),sP1_iProver_def)),
19.68/3.14	    inference(resolution,[status(thm)],[c_7081,c_10169])).
19.68/3.14	
19.68/3.14	cnf(c_12101,plain,
19.68/3.14	    (~$less_int(X0_3,X1_3)|$less_int($product_int(X0_3,1),X1_3)),
19.68/3.14	    inference(resolution,[status(thm)],[c_7535,c_53])).
19.68/3.14	
19.68/3.14	cnf(c_12151,plain,
19.68/3.14	    (~$less_int(size1(sK16),X0_3)|$less_int(sP0_iProver_def,X0_3)),
19.68/3.14	    inference(resolution,[status(thm)],[c_7535,c_7156])).
19.68/3.14	
19.68/3.14	cnf(c_12152,plain,
19.68/3.14	    (~$less_int(size1(sK16),sK13)|$less_int(sP0_iProver_def,sK13)),
19.68/3.14	    inference(instantiation,[status(thm)],[c_12151])).
19.68/3.14	
19.68/3.14	cnf(c_12165,plain,
19.68/3.14	    (~$less_int(sP0_iProver_def,X0_3)|$less_int(sP1_iProver_def,X0_3)),
19.68/3.14	    inference(resolution,[status(thm)],[c_7535,c_9316])).
19.68/3.14	
19.68/3.14	cnf(c_12166,plain,
19.68/3.14	    (~$less_int(sP0_iProver_def,sK13)|$less_int(sP1_iProver_def,sK13)),
19.68/3.14	    inference(instantiation,[status(thm)],[c_12165])).
19.68/3.14	
19.68/3.14	cnf(c_13869,plain,
19.68/3.14	    (~$less_int(sP1_iProver_def,X0_3)|$less_int(sP0_iProver_def,$product_int(X0_3,1))),
19.68/3.14	    inference(resolution,[status(thm)],[c_7520,c_3590])).
19.68/3.14	
19.68/3.14	cnf(c_15829,plain,
19.68/3.14	    (X0_3 = size1(sK16)|$less_int(X0_3,sP1_iProver_def)|$less_int(sP1_iProver_def,X0_3)),
19.68/3.14	    inference(resolution,[status(thm)],[c_7060,c_3587])).
19.68/3.14	
19.68/3.14	cnf(c_15830,plain,
19.68/3.14	    (sK13 = size1(sK16)|$less_int(sK13,sP1_iProver_def)|$less_int(sP1_iProver_def,sK13)),
19.68/3.14	    inference(instantiation,[status(thm)],[c_15829])).
19.68/3.14	
19.68/3.14	cnf(c_18127,plain,
19.68/3.14	    (X0_3 != sP0_iProver_def|~$less_int(sP1_iProver_def,X1_3)|$less_int(X0_3,$product_int(1,X1_3))),
19.68/3.14	    inference(resolution,[status(thm)],[c_7523,c_13869])).
19.68/3.14	
19.68/3.14	cnf(c_18538,plain,
19.68/3.14	    (path1(sK15,sK18,sK18)),
19.68/3.14	    inference(instantiation,[status(thm)],[c_82])).
19.68/3.14	
19.68/3.14	cnf(c_20054,plain,
19.68/3.14	    ($product_int(X0_3,X1_3) != sP0_iProver_def|~$less_int(sP1_iProver_def,X1_3)|
19.68/3.14	    $less_int(X0_3,1)|$less_int(X1_3,0)),
19.68/3.14	    inference(resolution,[status(thm)],[c_18127,c_68])).
19.68/3.14	
19.68/3.14	cnf(c_20055,plain,
19.68/3.14	    ($product_int(sK13,sK13) != sP0_iProver_def|~$less_int(sP1_iProver_def,sK13)|
19.68/3.14	    $less_int(sK13,1)|$less_int(sK13,0)),
19.68/3.14	    inference(instantiation,[status(thm)],[c_20054])).
19.68/3.14	
19.68/3.14	cnf(c_20464,plain,
19.68/3.14	    (repr1(sK16,sK18,sK2(sK16,sK18,sK18))|same1(sK16,sK18,sK18)),
19.68/3.14	    inference(instantiation,[status(thm)],[c_4934])).
19.68/3.14	
19.68/3.14	cnf(c_21991,plain,
19.68/3.14	    ($product_int(X0_3,X1_3) != size1(sK16)|X2_3 != 1|~$less_int(size1(sK16),1)|
19.68/3.14	    $less_int($product_int(X0_3,X1_3),X2_3)),
19.68/3.14	    inference(instantiation,[status(thm)],[c_4924])).
19.68/3.14	
19.68/3.14	cnf(c_22004,plain,
19.68/3.14	    ($product_int(sK13,sK13) != size1(sK16)|sK13 != 1|~$less_int(size1(sK16),1)|
19.68/3.14	    $less_int($product_int(sK13,sK13),sK13)),
19.68/3.14	    inference(instantiation,[status(thm)],[c_21991])).
19.68/3.14	
19.68/3.14	cnf(c_31744,plain,
19.68/3.14	    (~$less_int($product_int(sK13,sK13),X0_3)|$less_int(X0_3,X1_3)|$less_int(X1_3,X0_3)|
19.68/3.14	    $less_int(sP0_iProver_def,X1_3)),
19.68/3.14	    inference(resolution,[status(thm)],[c_9314,c_7525])).
19.68/3.14	
19.68/3.14	cnf(c_31749,plain,
19.68/3.14	    (~$less_int($product_int(sK13,sK13),sK13)|$less_int(sK13,sK13)|$less_int(sP0_iProver_def,sK13)),
19.68/3.14	    inference(instantiation,[status(thm)],[c_31744])).
19.68/3.14	
19.68/3.14	cnf(c_35848,plain,
19.68/3.14	    (X0_3 != X1_3|X2_3 != 1|~$less_int(X1_3,sP1_iProver_def)|$less_int($product_int(X0_3,X2_3),sP0_iProver_def)),
19.68/3.14	    inference(resolution,[status(thm)],[c_12101,c_8016])).
19.68/3.14	
19.68/3.14	cnf(c_35849,plain,
19.68/3.14	    (sK13 != sK13|sK13 != 1|~$less_int(sK13,sP1_iProver_def)|$less_int($product_int(sK13,sK13),sP0_iProver_def)),
19.68/3.14	    inference(instantiation,[status(thm)],[c_35848])).
19.68/3.14	
19.68/3.14	cnf(c_47651,plain,
19.68/3.14	    (sK15 != X0_19|sK17 != X0_3|sK18 != X1_3|~path1(X0_19,X0_3,X1_3)|
19.68/3.14	    path1(sK15,sK17,sK18)),
19.68/3.14	    inference(instantiation,[status(thm)],[c_3612])).
19.68/3.14	
19.68/3.14	cnf(c_47656,plain,
19.68/3.14	    (X0_3 != X1_3|sK16 != X0_17|sK17 != X2_3|~same1(X0_17,X2_3,X1_3)|
19.68/3.14	    same1(sK16,sK17,X0_3)),
19.68/3.14	    inference(instantiation,[status(thm)],[c_3611])).
19.68/3.14	
19.68/3.14	cnf(c_47709,plain,
19.68/3.14	    (sK15 != X0_19|sK17 != sK18|sK18 != X0_3|~path1(X0_19,sK18,X0_3)|
19.68/3.14	    path1(sK15,sK17,sK18)),
19.68/3.14	    inference(instantiation,[status(thm)],[c_47651])).
19.68/3.14	
19.68/3.14	cnf(c_47726,plain,
19.68/3.14	    (X0_3 != X1_3|sK16 != X0_17|sK17 != sK18|~same1(X0_17,sK18,X1_3)|
19.68/3.14	    same1(sK16,sK17,X0_3)),
19.68/3.14	    inference(instantiation,[status(thm)],[c_47656])).
19.68/3.14	
19.68/3.14	cnf(c_47847,plain,
19.68/3.14	    (~repr1(sK16,X0_3,sK2(sK16,sK18,X0_3))|~repr1(sK16,sK18,sK2(sK16,sK18,X0_3))|
19.68/3.14	    same1(sK16,sK18,X0_3)),
19.68/3.14	    inference(instantiation,[status(thm)],[c_69])).
19.68/3.14	
19.68/3.14	cnf(c_48368,plain,
19.68/3.14	    (sK15 != X0_19|sK17 != sK18|sK18 != sK18|~path1(X0_19,sK18,sK18)|
19.68/3.14	    path1(sK15,sK17,sK18)),
19.68/3.14	    inference(instantiation,[status(thm)],[c_47709])).
19.68/3.14	
19.68/3.14	cnf(c_48369,plain,
19.68/3.14	    (sK15 != X0_19|sK17 != sK18|~path1(X0_19,sK18,sK18)|path1(sK15,sK17,sK18)),
19.68/3.14	    inference(equality_resolution_simp,[status(thm)],[c_48368])).
19.68/3.14	
19.68/3.14	cnf(c_48370,plain,
19.68/3.14	    (sK15 != sK15|sK17 != sK18|~path1(sK15,sK18,sK18)|path1(sK15,sK17,sK18)),
19.68/3.14	    inference(instantiation,[status(thm)],[c_48369])).
19.68/3.14	
19.68/3.14	cnf(c_48879,plain,
19.68/3.14	    (~repr1(sK16,sK18,sK2(sK16,sK18,sK18))|same1(sK16,sK18,sK18)),
19.68/3.14	    inference(instantiation,[status(thm)],[c_47847])).
19.68/3.14	
19.68/3.14	cnf(c_49030,plain,
19.68/3.14	    (X0_3 != sK18|sK16 != sK16|sK17 != sK18|~same1(sK16,sK18,sK18)|same1(sK16,sK17,X0_3)),
19.68/3.14	    inference(instantiation,[status(thm)],[c_47726])).
19.68/3.14	
19.68/3.14	cnf(c_49034,plain,
19.68/3.14	    (X0_3 != sK18|sK17 != sK18|~same1(sK16,sK18,sK18)|same1(sK16,sK17,X0_3)),
19.68/3.14	    inference(equality_resolution_simp,[status(thm)],[c_49030])).
19.68/3.14	
19.68/3.14	cnf(c_57658,plain,
19.68/3.14	    (sK17 != sK18|sK18 != sK18|~same1(sK16,sK18,sK18)|same1(sK16,sK17,sK18)),
19.68/3.14	    inference(instantiation,[status(thm)],[c_49034])).
19.68/3.14	
19.68/3.14	cnf(c_57659,plain,
19.68/3.14	    (sK17 != sK18|~same1(sK16,sK18,sK18)|same1(sK16,sK17,sK18)),
19.68/3.14	    inference(equality_resolution_simp,[status(thm)],[c_57658])).
19.68/3.14	
19.68/3.14	cnf(c_57660,plain,
19.68/3.14	    ($false),
19.68/3.14	    inference(prop_impl_just,
19.68/3.14	              [status(thm)],
19.68/3.14	              [c_57659,c_48879,c_48370,c_35849,c_31749,c_22004,c_20464,
19.68/3.14	               c_20055,c_18538,c_15830,c_12166,c_12152,c_10599,c_9660,
19.68/3.14	               c_9610,c_9425,c_9316,c_5236,c_4931,c_4922,c_4902,c_3586,
19.68/3.14	               c_3623,c_1888,c_1661,c_981,c_142,c_110,c_127,c_113,c_124])).
19.68/3.14	
19.68/3.14	
19.68/3.14	% SZS output end CNFRefutation for theBenchmark.p
19.68/3.14	
19.68/3.14	
19.68/3.16	EOF