TSTP Solution File: SWW653_2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWW653_2 : TPTP v8.2.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 18:17:55 EDT 2024
% Result : Theorem 19.86s 3.00s
% Output : CNFRefutation 19.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SWW653_2 : TPTP v8.2.0. Released v6.1.0.
% 0.00/0.08 % Command : run_iprover %s %d THM
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Wed Jun 19 05:52:09 EDT 2024
% 0.07/0.27 % CPUTime :
% 0.13/0.36 Running TFA theorem proving
% 0.13/0.36 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 300
% 19.86/3.00 % SZS status Started for theBenchmark.p
% 19.86/3.00 % SZS status Theorem for theBenchmark.p
% 19.86/3.00
% 19.86/3.00 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 19.86/3.00
% 19.86/3.00 ------ iProver source info
% 19.86/3.00
% 19.86/3.00 git: date: 2024-06-12 09:56:46 +0000
% 19.86/3.00 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 19.86/3.00 git: non_committed_changes: false
% 19.86/3.00
% 19.86/3.00 ------ Parsing...
% 19.86/3.00 ------ Clausification by vclausify_rel & Parsing by iProver...
% 19.86/3.00
% 19.86/3.00 ------ 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
% 19.86/3.00
% 19.86/3.00 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 19.86/3.00
% 19.86/3.00 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 19.86/3.00 ------ Proving...
% 19.86/3.00 ------ Problem Properties
% 19.86/3.00
% 19.86/3.00
% 19.86/3.00 clauses 65
% 19.86/3.00 conjectures 3
% 19.86/3.00 EPR 14
% 19.86/3.00 Horn 44
% 19.86/3.00 unary 23
% 19.86/3.00 binary 18
% 19.86/3.00 lits 149
% 19.86/3.00 lits eq 37
% 19.86/3.00 fd_pure 1
% 19.86/3.00 fd_pseudo 0
% 19.86/3.00 fd_cond 0
% 19.86/3.00 fd_pseudo_cond 5
% 19.86/3.00 AC symbols 2
% 19.86/3.00
% 19.86/3.00 ------ Input Options Time Limit: Unbounded
% 19.86/3.00
% 19.86/3.00
% 19.86/3.00 ------
% 19.86/3.00 Current options:
% 19.86/3.00 ------
% 19.86/3.00
% 19.86/3.00
% 19.86/3.00
% 19.86/3.00
% 19.86/3.00 ------ Proving...
% 19.86/3.00
% 19.86/3.00
% 19.86/3.00 % SZS status Theorem for theBenchmark.p
% 19.86/3.00
% 19.86/3.00 % SZS output start CNFRefutation for theBenchmark.p
% 19.86/3.00
% 19.86/3.00 tff(f8,axiom,(
% 19.86/3.00 ! [X1 : $int,X7 : $int,X4 : $int] : ($lesseq(X1,X7) => ($lesseq(0,X4) => $lesseq($product(X1,X4),$product(X7,X4))))),
% 19.86/3.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatOrderMult)).
% 19.86/3.00
% 19.86/3.00 tff(f15,axiom,(
% 19.86/3.00 ! [X6 : uf_pure1,X1 : $int,X7 : $int] : (same1(X6,X1,X7) <=> ! [X8 : $int] : (repr1(X6,X1,X8) <=> repr1(X6,X7,X8)))),
% 19.86/3.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',same_def)).
% 19.86/3.00
% 19.86/3.00 tff(f20,axiom,(
% 19.86/3.00 ! [X11 : graph1,X1 : $int] : path1(X11,X1,X1)),
% 19.86/3.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',path_refl)).
% 19.86/3.00
% 19.86/3.00 tff(f25,conjecture,(
% 19.86/3.00 ! [X14 : $int,X15 : $int,X16 : graph1] : ((! [X1 : $int,X7 : $int] : (X1 = X7 <=> path1(X16,X1,X7)) & 0 = X15 & $lesseq(1,X14)) => ($lesseq(0,$product(X14,X14)) => ! [X6 : uf_pure1] : ((! [X1 : $int] : (($less(X1,$product(X14,X14)) & $lesseq(0,X1)) => repr1(X6,X1,X1)) & size1(X6) = $product(X14,X14) & num1(X6) = $product(X14,X14)) => (! [X1 : $int,X7 : $int] : (($less(X1,$product(X14,X14)) & $lesseq(0,X1)) => (($less(X7,$product(X14,X14)) & $lesseq(0,X7)) => (same1(X6,X1,X7) => (X1 = X7 & repr1(X6,X1,X1) & repr1(X6,X1,X7))))) => (! [X1 : $int,X7 : $int] : (($less(X1,$product(X14,X14)) & $lesseq(0,X1)) => (($less(X7,$product(X14,X14)) & $lesseq(0,X7)) => (same1(X6,X1,X7) <=> path1(X16,X1,X7)))) & size1(X6) = $product(X14,X14) & size1(X6) = $sum(num1(X6),X15) & $lesseq(1,num1(X6)))))))),
% 19.86/3.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_build_maze)).
% 19.86/3.00
% 19.86/3.00 tff(f26,negated_conjecture,(
% 19.86/3.00 ~! [X14 : $int,X15 : $int,X16 : graph1] : ((! [X1 : $int,X7 : $int] : (X1 = X7 <=> path1(X16,X1,X7)) & 0 = X15 & $lesseq(1,X14)) => ($lesseq(0,$product(X14,X14)) => ! [X6 : uf_pure1] : ((! [X1 : $int] : (($less(X1,$product(X14,X14)) & $lesseq(0,X1)) => repr1(X6,X1,X1)) & size1(X6) = $product(X14,X14) & num1(X6) = $product(X14,X14)) => (! [X1 : $int,X7 : $int] : (($less(X1,$product(X14,X14)) & $lesseq(0,X1)) => (($less(X7,$product(X14,X14)) & $lesseq(0,X7)) => (same1(X6,X1,X7) => (X1 = X7 & repr1(X6,X1,X1) & repr1(X6,X1,X7))))) => (! [X1 : $int,X7 : $int] : (($less(X1,$product(X14,X14)) & $lesseq(0,X1)) => (($less(X7,$product(X14,X14)) & $lesseq(0,X7)) => (same1(X6,X1,X7) <=> path1(X16,X1,X7)))) & size1(X6) = $product(X14,X14) & size1(X6) = $sum(num1(X6),X15) & $lesseq(1,num1(X6)))))))),
% 19.86/3.00 inference(negated_conjecture,[],[f25])).
% 19.86/3.00
% 19.86/3.00 tff(f27,plain,(
% 19.86/3.00 ! [X1 : $int,X7 : $int,X4 : $int] : (~$less(X7,X1) => (~$less(X4,0) => ~$less($product(X7,X4),$product(X1,X4))))),
% 19.86/3.00 inference(theory_normalization,[],[f8])).
% 19.86/3.00
% 19.86/3.00 tff(f32,plain,(
% 19.86/3.00 ~! [X14 : $int,X15 : $int,X16 : graph1] : ((! [X1 : $int,X7 : $int] : (X1 = X7 <=> path1(X16,X1,X7)) & 0 = X15 & ~$less(X14,1)) => (~$less($product(X14,X14),0) => ! [X6 : uf_pure1] : ((! [X1 : $int] : (($less(X1,$product(X14,X14)) & ~$less(X1,0)) => repr1(X6,X1,X1)) & size1(X6) = $product(X14,X14) & num1(X6) = $product(X14,X14)) => (! [X1 : $int,X7 : $int] : (($less(X1,$product(X14,X14)) & ~$less(X1,0)) => (($less(X7,$product(X14,X14)) & ~$less(X7,0)) => (same1(X6,X1,X7) => (X1 = X7 & repr1(X6,X1,X1) & repr1(X6,X1,X7))))) => (! [X1 : $int,X7 : $int] : (($less(X1,$product(X14,X14)) & ~$less(X1,0)) => (($less(X7,$product(X14,X14)) & ~$less(X7,0)) => (same1(X6,X1,X7) <=> path1(X16,X1,X7)))) & size1(X6) = $product(X14,X14) & size1(X6) = $sum(num1(X6),X15) & ~$less(num1(X6),1))))))),
% 19.86/3.00 inference(theory_normalization,[],[f26])).
% 19.86/3.00
% 19.86/3.00 tff(f33,plain,(
% 19.86/3.00 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 19.86/3.00 introduced(theory_axiom_138,[])).
% 19.86/3.00
% 19.86/3.00 tff(f34,plain,(
% 19.86/3.00 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 19.86/3.00 introduced(theory_axiom_139,[])).
% 19.86/3.00
% 19.86/3.00 tff(f39,plain,(
% 19.86/3.00 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 19.86/3.00 introduced(theory_axiom_146,[])).
% 19.86/3.00
% 19.86/3.00 tff(f40,plain,(
% 19.86/3.00 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 19.86/3.00 introduced(theory_axiom_147,[])).
% 19.86/3.00
% 19.86/3.00 tff(f44,plain,(
% 19.86/3.00 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 19.86/3.00 introduced(theory_axiom_138,[])).
% 19.86/3.00
% 19.86/3.00 tff(f45,plain,(
% 19.86/3.00 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 19.86/3.00 introduced(theory_axiom_139,[])).
% 19.86/3.00
% 19.86/3.00 tff(f46,plain,(
% 19.86/3.00 ( ! [X0 : $int] : ($product(X0,1) = X0) )),
% 19.86/3.00 introduced(theory_axiom_140,[])).
% 19.86/3.00
% 19.86/3.00 tff(f55,plain,(
% 19.86/3.00 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less(X1,X0) => (~$less(X2,0) => ~$less($product(X1,X2),$product(X0,X2))))),
% 19.86/3.00 inference(rectify,[],[f27])).
% 19.86/3.00
% 19.86/3.00 tff(f60,plain,(
% 19.86/3.00 ! [X0 : uf_pure1,X1 : $int,X2 : $int] : (same1(X0,X1,X2) <=> ! [X3 : $int] : (repr1(X0,X1,X3) <=> repr1(X0,X2,X3)))),
% 19.86/3.00 inference(rectify,[],[f15])).
% 19.86/3.00
% 19.86/3.00 tff(f65,plain,(
% 19.86/3.00 ! [X0 : graph1,X1 : $int] : path1(X0,X1,X1)),
% 19.86/3.00 inference(rectify,[],[f20])).
% 19.86/3.00
% 19.86/3.00 tff(f70,plain,(
% 19.86/3.00 ~! [X0 : $int,X1 : $int,X2 : graph1] : ((! [X3 : $int,X4 : $int] : (X3 = X4 <=> path1(X2,X3,X4)) & 0 = X1 & ~$less(X0,1)) => (~$less($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,$product(X0,X0)) & ~$less(X7,0)) => (($less(X8,$product(X0,X0)) & ~$less(X8,0)) => (same1(X5,X7,X8) => (X7 = X8 & repr1(X5,X7,X7) & repr1(X5,X7,X8))))) => (! [X9 : $int,X10 : $int] : (($less(X9,$product(X0,X0)) & ~$less(X9,0)) => (($less(X10,$product(X0,X0)) & ~$less(X10,0)) => (same1(X5,X9,X10) <=> path1(X2,X9,X10)))) & $product(X0,X0) = size1(X5) & size1(X5) = $sum(num1(X5),X1) & ~$less(num1(X5),1))))))),
% 19.86/3.00 inference(rectify,[],[f32])).
% 19.86/3.00
% 19.86/3.00 tff(f73,plain,(
% 19.86/3.00 ! [X0 : $int,X1 : $int,X2 : $int] : ((~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0)) | $less(X1,X0))),
% 19.86/3.00 inference(ennf_transformation,[],[f55])).
% 19.86/3.00
% 19.86/3.00 tff(f74,plain,(
% 19.86/3.00 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0) | $less(X1,X0))),
% 19.86/3.00 inference(flattening,[],[f73])).
% 19.86/3.00
% 19.86/3.00 tff(f90,plain,(
% 19.86/3.00 ? [X0 : $int,X1 : $int,X2 : graph1] : ((? [X5 : uf_pure1] : (((? [X9 : $int,X10 : $int] : (((same1(X5,X9,X10) <~> path1(X2,X9,X10)) & ($less(X10,$product(X0,X0)) & ~$less(X10,0))) & ($less(X9,$product(X0,X0)) & ~$less(X9,0))) | $product(X0,X0) != size1(X5) | size1(X5) != $sum(num1(X5),X1) | $less(num1(X5),1)) & ! [X7 : $int,X8 : $int] : ((((X7 = X8 & repr1(X5,X7,X7) & repr1(X5,X7,X8)) | ~same1(X5,X7,X8)) | (~$less(X8,$product(X0,X0)) | $less(X8,0))) | (~$less(X7,$product(X0,X0)) | $less(X7,0)))) & (! [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)) & (! [X3 : $int,X4 : $int] : (X3 = X4 <=> path1(X2,X3,X4)) & 0 = X1 & ~$less(X0,1)))),
% 19.86/3.00 inference(ennf_transformation,[],[f70])).
% 19.86/3.00
% 19.86/3.00 tff(f91,plain,(
% 19.86/3.00 ? [X0 : $int,X1 : $int,X2 : graph1] : (? [X5 : uf_pure1] : ((? [X9 : $int,X10 : $int] : ((same1(X5,X9,X10) <~> path1(X2,X9,X10)) & $less(X10,$product(X0,X0)) & ~$less(X10,0) & $less(X9,$product(X0,X0)) & ~$less(X9,0)) | $product(X0,X0) != size1(X5) | size1(X5) != $sum(num1(X5),X1) | $less(num1(X5),1)) & ! [X7 : $int,X8 : $int] : ((X7 = X8 & repr1(X5,X7,X7) & repr1(X5,X7,X8)) | ~same1(X5,X7,X8) | ~$less(X8,$product(X0,X0)) | $less(X8,0) | ~$less(X7,$product(X0,X0)) | $less(X7,0)) & ! [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) & ! [X3 : $int,X4 : $int] : (X3 = X4 <=> path1(X2,X3,X4)) & 0 = X1 & ~$less(X0,1))),
% 19.86/3.00 inference(flattening,[],[f90])).
% 19.86/3.00
% 19.86/3.00 tff(f97,plain,(
% 19.86/3.00 ! [X0 : uf_pure1,X1 : $int,X2 : $int] : ((same1(X0,X1,X2) | ? [X3 : $int] : ((~repr1(X0,X2,X3) | ~repr1(X0,X1,X3)) & (repr1(X0,X2,X3) | repr1(X0,X1,X3)))) & (! [X3 : $int] : ((repr1(X0,X1,X3) | ~repr1(X0,X2,X3)) & (repr1(X0,X2,X3) | ~repr1(X0,X1,X3))) | ~same1(X0,X1,X2)))),
% 19.86/3.00 inference(nnf_transformation,[],[f60])).
% 19.86/3.00
% 19.86/3.00 tff(f98,plain,(
% 19.86/3.00 ! [X0 : uf_pure1,X1 : $int,X2 : $int] : ((same1(X0,X1,X2) | ? [X3 : $int] : ((~repr1(X0,X2,X3) | ~repr1(X0,X1,X3)) & (repr1(X0,X2,X3) | repr1(X0,X1,X3)))) & (! [X4 : $int] : ((repr1(X0,X1,X4) | ~repr1(X0,X2,X4)) & (repr1(X0,X2,X4) | ~repr1(X0,X1,X4))) | ~same1(X0,X1,X2)))),
% 19.86/3.00 inference(rectify,[],[f97])).
% 19.86/3.00
% 19.86/3.00 tff(f99,plain,(
% 19.86/3.00 ! [X0 : uf_pure1,X1 : $int,X2 : $int] : (? [X3 : $int] : ((~repr1(X0,X2,X3) | ~repr1(X0,X1,X3)) & (repr1(X0,X2,X3) | repr1(X0,X1,X3))) => ((~repr1(X0,X2,sK3(X0,X1,X2)) | ~repr1(X0,X1,sK3(X0,X1,X2))) & (repr1(X0,X2,sK3(X0,X1,X2)) | repr1(X0,X1,sK3(X0,X1,X2)))))),
% 19.86/3.00 introduced(choice_axiom,[])).
% 19.86/3.00
% 19.86/3.00 tff(f100,plain,(
% 19.86/3.00 ! [X0 : uf_pure1,X1 : $int,X2 : $int] : ((same1(X0,X1,X2) | ((~repr1(X0,X2,sK3(X0,X1,X2)) | ~repr1(X0,X1,sK3(X0,X1,X2))) & (repr1(X0,X2,sK3(X0,X1,X2)) | repr1(X0,X1,sK3(X0,X1,X2))))) & (! [X4 : $int] : ((repr1(X0,X1,X4) | ~repr1(X0,X2,X4)) & (repr1(X0,X2,X4) | ~repr1(X0,X1,X4))) | ~same1(X0,X1,X2)))),
% 19.86/3.00 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f98,f99])).
% 19.86/3.00
% 19.86/3.00 tff(f112,plain,(
% 19.86/3.00 ? [X0 : $int,X1 : $int,X2 : graph1] : (? [X5 : uf_pure1] : ((? [X9 : $int,X10 : $int] : (((~path1(X2,X9,X10) | ~same1(X5,X9,X10)) & (path1(X2,X9,X10) | same1(X5,X9,X10))) & $less(X10,$product(X0,X0)) & ~$less(X10,0) & $less(X9,$product(X0,X0)) & ~$less(X9,0)) | $product(X0,X0) != size1(X5) | size1(X5) != $sum(num1(X5),X1) | $less(num1(X5),1)) & ! [X7 : $int,X8 : $int] : ((X7 = X8 & repr1(X5,X7,X7) & repr1(X5,X7,X8)) | ~same1(X5,X7,X8) | ~$less(X8,$product(X0,X0)) | $less(X8,0) | ~$less(X7,$product(X0,X0)) | $less(X7,0)) & ! [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) & ! [X3 : $int,X4 : $int] : ((X3 = X4 | ~path1(X2,X3,X4)) & (path1(X2,X3,X4) | X3 != X4)) & 0 = X1 & ~$less(X0,1))),
% 19.86/3.00 inference(nnf_transformation,[],[f91])).
% 19.86/3.00
% 19.86/3.00 tff(f113,plain,(
% 19.86/3.00 ? [X0 : $int,X1 : $int,X2 : graph1] : (? [X5 : uf_pure1] : ((? [X9 : $int,X10 : $int] : ((~path1(X2,X9,X10) | ~same1(X5,X9,X10)) & (path1(X2,X9,X10) | same1(X5,X9,X10)) & $less(X10,$product(X0,X0)) & ~$less(X10,0) & $less(X9,$product(X0,X0)) & ~$less(X9,0)) | $product(X0,X0) != size1(X5) | size1(X5) != $sum(num1(X5),X1) | $less(num1(X5),1)) & ! [X7 : $int,X8 : $int] : ((X7 = X8 & repr1(X5,X7,X7) & repr1(X5,X7,X8)) | ~same1(X5,X7,X8) | ~$less(X8,$product(X0,X0)) | $less(X8,0) | ~$less(X7,$product(X0,X0)) | $less(X7,0)) & ! [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) & ! [X3 : $int,X4 : $int] : ((X3 = X4 | ~path1(X2,X3,X4)) & (path1(X2,X3,X4) | X3 != X4)) & 0 = X1 & ~$less(X0,1))),
% 19.86/3.00 inference(flattening,[],[f112])).
% 19.86/3.00
% 19.86/3.00 tff(f114,plain,(
% 19.86/3.00 ? [X0 : $int,X1 : $int,X2 : graph1] : (? [X3 : uf_pure1] : ((? [X4 : $int,X5 : $int] : ((~path1(X2,X4,X5) | ~same1(X3,X4,X5)) & (path1(X2,X4,X5) | same1(X3,X4,X5)) & $less(X5,$product(X0,X0)) & ~$less(X5,0) & $less(X4,$product(X0,X0)) & ~$less(X4,0)) | $product(X0,X0) != size1(X3) | size1(X3) != $sum(num1(X3),X1) | $less(num1(X3),1)) & ! [X6 : $int,X7 : $int] : ((X6 = X7 & repr1(X3,X6,X6) & repr1(X3,X6,X7)) | ~same1(X3,X6,X7) | ~$less(X7,$product(X0,X0)) | $less(X7,0) | ~$less(X6,$product(X0,X0)) | $less(X6,0)) & ! [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) & ! [X9 : $int,X10 : $int] : ((X9 = X10 | ~path1(X2,X9,X10)) & (path1(X2,X9,X10) | X9 != X10)) & 0 = X1 & ~$less(X0,1))),
% 19.86/3.00 inference(rectify,[],[f113])).
% 19.86/3.00
% 19.86/3.00 tff(f115,plain,(
% 19.86/3.00 ? [X0 : $int,X1 : $int,X2 : graph1] : (? [X3 : uf_pure1] : ((? [X4 : $int,X5 : $int] : ((~path1(X2,X4,X5) | ~same1(X3,X4,X5)) & (path1(X2,X4,X5) | same1(X3,X4,X5)) & $less(X5,$product(X0,X0)) & ~$less(X5,0) & $less(X4,$product(X0,X0)) & ~$less(X4,0)) | $product(X0,X0) != size1(X3) | size1(X3) != $sum(num1(X3),X1) | $less(num1(X3),1)) & ! [X6 : $int,X7 : $int] : ((X6 = X7 & repr1(X3,X6,X6) & repr1(X3,X6,X7)) | ~same1(X3,X6,X7) | ~$less(X7,$product(X0,X0)) | $less(X7,0) | ~$less(X6,$product(X0,X0)) | $less(X6,0)) & ! [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) & ! [X9 : $int,X10 : $int] : ((X9 = X10 | ~path1(X2,X9,X10)) & (path1(X2,X9,X10) | X9 != X10)) & 0 = X1 & ~$less(X0,1)) => (? [X3 : uf_pure1] : ((? [X5 : $int,X4 : $int] : ((~path1(sK15,X4,X5) | ~same1(X3,X4,X5)) & (path1(sK15,X4,X5) | same1(X3,X4,X5)) & $less(X5,$product(sK13,sK13)) & ~$less(X5,0) & $less(X4,$product(sK13,sK13)) & ~$less(X4,0)) | size1(X3) != $product(sK13,sK13) | size1(X3) != $sum(num1(X3),sK14) | $less(num1(X3),1)) & ! [X7 : $int,X6 : $int] : ((X6 = X7 & repr1(X3,X6,X6) & repr1(X3,X6,X7)) | ~same1(X3,X6,X7) | ~$less(X7,$product(sK13,sK13)) | $less(X7,0) | ~$less(X6,$product(sK13,sK13)) | $less(X6,0)) & ! [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) & ! [X10 : $int,X9 : $int] : ((X9 = X10 | ~path1(sK15,X9,X10)) & (path1(sK15,X9,X10) | X9 != X10)) & 0 = sK14 & ~$less(sK13,1))),
% 19.86/3.00 introduced(choice_axiom,[])).
% 19.86/3.00
% 19.86/3.00 tff(f116,plain,(
% 19.86/3.00 ? [X3 : uf_pure1] : ((? [X5 : $int,X4 : $int] : ((~path1(sK15,X4,X5) | ~same1(X3,X4,X5)) & (path1(sK15,X4,X5) | same1(X3,X4,X5)) & $less(X5,$product(sK13,sK13)) & ~$less(X5,0) & $less(X4,$product(sK13,sK13)) & ~$less(X4,0)) | size1(X3) != $product(sK13,sK13) | size1(X3) != $sum(num1(X3),sK14) | $less(num1(X3),1)) & ! [X7 : $int,X6 : $int] : ((X6 = X7 & repr1(X3,X6,X6) & repr1(X3,X6,X7)) | ~same1(X3,X6,X7) | ~$less(X7,$product(sK13,sK13)) | $less(X7,0) | ~$less(X6,$product(sK13,sK13)) | $less(X6,0)) & ! [X8 : $int] : (repr1(X3,X8,X8) | ~$less(X8,$product(sK13,sK13)) | $less(X8,0)) & size1(X3) = $product(sK13,sK13) & num1(X3) = $product(sK13,sK13)) => ((? [X5 : $int,X4 : $int] : ((~path1(sK15,X4,X5) | ~same1(sK16,X4,X5)) & (path1(sK15,X4,X5) | same1(sK16,X4,X5)) & $less(X5,$product(sK13,sK13)) & ~$less(X5,0) & $less(X4,$product(sK13,sK13)) & ~$less(X4,0)) | $product(sK13,sK13) != size1(sK16) | size1(sK16) != $sum(num1(sK16),sK14) | $less(num1(sK16),1)) & ! [X7 : $int,X6 : $int] : ((X6 = X7 & repr1(sK16,X6,X6) & repr1(sK16,X6,X7)) | ~same1(sK16,X6,X7) | ~$less(X7,$product(sK13,sK13)) | $less(X7,0) | ~$less(X6,$product(sK13,sK13)) | $less(X6,0)) & ! [X8 : $int] : (repr1(sK16,X8,X8) | ~$less(X8,$product(sK13,sK13)) | $less(X8,0)) & $product(sK13,sK13) = size1(sK16) & $product(sK13,sK13) = num1(sK16))),
% 19.86/3.00 introduced(choice_axiom,[])).
% 19.86/3.00
% 19.86/3.00 tff(f117,plain,(
% 19.86/3.00 ? [X5 : $int,X4 : $int] : ((~path1(sK15,X4,X5) | ~same1(sK16,X4,X5)) & (path1(sK15,X4,X5) | same1(sK16,X4,X5)) & $less(X5,$product(sK13,sK13)) & ~$less(X5,0) & $less(X4,$product(sK13,sK13)) & ~$less(X4,0)) => ((~path1(sK15,sK17,sK18) | ~same1(sK16,sK17,sK18)) & (path1(sK15,sK17,sK18) | same1(sK16,sK17,sK18)) & $less(sK18,$product(sK13,sK13)) & ~$less(sK18,0) & $less(sK17,$product(sK13,sK13)) & ~$less(sK17,0))),
% 19.86/3.00 introduced(choice_axiom,[])).
% 19.86/3.00
% 19.86/3.00 tff(f118,plain,(
% 19.86/3.00 ((((~path1(sK15,sK17,sK18) | ~same1(sK16,sK17,sK18)) & (path1(sK15,sK17,sK18) | same1(sK16,sK17,sK18)) & $less(sK18,$product(sK13,sK13)) & ~$less(sK18,0) & $less(sK17,$product(sK13,sK13)) & ~$less(sK17,0)) | $product(sK13,sK13) != size1(sK16) | size1(sK16) != $sum(num1(sK16),sK14) | $less(num1(sK16),1)) & ! [X6 : $int,X7 : $int] : ((X6 = X7 & repr1(sK16,X6,X6) & repr1(sK16,X6,X7)) | ~same1(sK16,X6,X7) | ~$less(X7,$product(sK13,sK13)) | $less(X7,0) | ~$less(X6,$product(sK13,sK13)) | $less(X6,0)) & ! [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) & ! [X9 : $int,X10 : $int] : ((X9 = X10 | ~path1(sK15,X9,X10)) & (path1(sK15,X9,X10) | X9 != X10)) & 0 = sK14 & ~$less(sK13,1)),
% 19.86/3.00 inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17,sK18])],[f114,f117,f116,f115])).
% 19.86/3.00
% 19.86/3.00 tff(f126,plain,(
% 19.86/3.00 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0) | $less(X1,X0)) )),
% 19.86/3.00 inference(cnf_transformation,[],[f74])).
% 19.86/3.00
% 19.86/3.00 tff(f137,plain,(
% 19.86/3.00 ( ! [X2 : $int,X0 : uf_pure1,X1 : $int] : (same1(X0,X1,X2) | repr1(X0,X2,sK3(X0,X1,X2)) | repr1(X0,X1,sK3(X0,X1,X2))) )),
% 19.86/3.00 inference(cnf_transformation,[],[f100])).
% 19.86/3.00
% 19.86/3.00 tff(f138,plain,(
% 19.86/3.00 ( ! [X2 : $int,X0 : uf_pure1,X1 : $int] : (same1(X0,X1,X2) | ~repr1(X0,X2,sK3(X0,X1,X2)) | ~repr1(X0,X1,sK3(X0,X1,X2))) )),
% 19.86/3.00 inference(cnf_transformation,[],[f100])).
% 19.86/3.00
% 19.86/3.00 tff(f142,plain,(
% 19.86/3.00 ( ! [X0 : graph1,X1 : $int] : (path1(X0,X1,X1)) )),
% 19.86/3.00 inference(cnf_transformation,[],[f65])).
% 19.86/3.00
% 19.86/3.00 tff(f159,plain,(
% 19.86/3.00 ~$less(sK13,1)),
% 19.86/3.00 inference(cnf_transformation,[],[f118])).
% 19.86/3.00
% 19.86/3.00 tff(f160,plain,(
% 19.86/3.00 0 = sK14),
% 19.86/3.00 inference(cnf_transformation,[],[f118])).
% 19.86/3.00
% 19.86/3.00 tff(f162,plain,(
% 19.86/3.00 ( ! [X10 : $int,X9 : $int] : (X9 = X10 | ~path1(sK15,X9,X10)) )),
% 19.86/3.00 inference(cnf_transformation,[],[f118])).
% 19.86/3.00
% 19.86/3.00 tff(f164,plain,(
% 19.86/3.00 $product(sK13,sK13) = num1(sK16)),
% 19.86/3.00 inference(cnf_transformation,[],[f118])).
% 19.86/3.00
% 19.86/3.00 tff(f165,plain,(
% 19.86/3.00 $product(sK13,sK13) = size1(sK16)),
% 19.86/3.00 inference(cnf_transformation,[],[f118])).
% 19.86/3.00
% 19.86/3.00 tff(f169,plain,(
% 19.86/3.00 ( ! [X6 : $int,X7 : $int] : (X6 = X7 | ~same1(sK16,X6,X7) | ~$less(X7,$product(sK13,sK13)) | $less(X7,0) | ~$less(X6,$product(sK13,sK13)) | $less(X6,0)) )),
% 19.86/3.00 inference(cnf_transformation,[],[f118])).
% 19.86/3.00
% 19.86/3.00 tff(f170,plain,(
% 19.86/3.00 ~$less(sK17,0) | $product(sK13,sK13) != size1(sK16) | size1(sK16) != $sum(num1(sK16),sK14) | $less(num1(sK16),1)),
% 19.86/3.00 inference(cnf_transformation,[],[f118])).
% 19.86/3.00
% 19.86/3.00 tff(f171,plain,(
% 19.86/3.00 $less(sK17,$product(sK13,sK13)) | $product(sK13,sK13) != size1(sK16) | size1(sK16) != $sum(num1(sK16),sK14) | $less(num1(sK16),1)),
% 19.86/3.00 inference(cnf_transformation,[],[f118])).
% 19.86/3.00
% 19.86/3.00 tff(f172,plain,(
% 19.86/3.00 ~$less(sK18,0) | $product(sK13,sK13) != size1(sK16) | size1(sK16) != $sum(num1(sK16),sK14) | $less(num1(sK16),1)),
% 19.86/3.00 inference(cnf_transformation,[],[f118])).
% 19.86/3.00
% 19.86/3.00 tff(f173,plain,(
% 19.86/3.00 $less(sK18,$product(sK13,sK13)) | $product(sK13,sK13) != size1(sK16) | size1(sK16) != $sum(num1(sK16),sK14) | $less(num1(sK16),1)),
% 19.86/3.00 inference(cnf_transformation,[],[f118])).
% 19.86/3.00
% 19.86/3.00 tff(f174,plain,(
% 19.86/3.00 path1(sK15,sK17,sK18) | same1(sK16,sK17,sK18) | $product(sK13,sK13) != size1(sK16) | size1(sK16) != $sum(num1(sK16),sK14) | $less(num1(sK16),1)),
% 19.86/3.00 inference(cnf_transformation,[],[f118])).
% 19.86/3.00
% 19.86/3.00 tff(f175,plain,(
% 19.86/3.00 ~path1(sK15,sK17,sK18) | ~same1(sK16,sK17,sK18) | $product(sK13,sK13) != size1(sK16) | size1(sK16) != $sum(num1(sK16),sK14) | $less(num1(sK16),1)),
% 19.86/3.00 inference(cnf_transformation,[],[f118])).
% 19.86/3.00
% 19.86/3.00 tff(f176,plain,(
% 19.86/3.00 ~path1(sK15,sK17,sK18) | ~same1(sK16,sK17,sK18) | $product(sK13,sK13) != size1(sK16) | size1(sK16) != $sum(num1(sK16),0) | $less(num1(sK16),1)),
% 19.86/3.00 inference(definition_unfolding,[],[f175,f160])).
% 19.86/3.00
% 19.86/3.00 tff(f177,plain,(
% 19.86/3.00 path1(sK15,sK17,sK18) | same1(sK16,sK17,sK18) | $product(sK13,sK13) != size1(sK16) | size1(sK16) != $sum(num1(sK16),0) | $less(num1(sK16),1)),
% 19.86/3.00 inference(definition_unfolding,[],[f174,f160])).
% 19.86/3.00
% 19.86/3.00 tff(f178,plain,(
% 19.86/3.00 $less(sK18,$product(sK13,sK13)) | $product(sK13,sK13) != size1(sK16) | size1(sK16) != $sum(num1(sK16),0) | $less(num1(sK16),1)),
% 19.86/3.00 inference(definition_unfolding,[],[f173,f160])).
% 19.86/3.00
% 19.86/3.00 tff(f179,plain,(
% 19.86/3.00 ~$less(sK18,0) | $product(sK13,sK13) != size1(sK16) | size1(sK16) != $sum(num1(sK16),0) | $less(num1(sK16),1)),
% 19.86/3.00 inference(definition_unfolding,[],[f172,f160])).
% 19.86/3.00
% 19.86/3.00 tff(f180,plain,(
% 19.86/3.00 $less(sK17,$product(sK13,sK13)) | $product(sK13,sK13) != size1(sK16) | size1(sK16) != $sum(num1(sK16),0) | $less(num1(sK16),1)),
% 19.86/3.00 inference(definition_unfolding,[],[f171,f160])).
% 19.86/3.00
% 19.86/3.00 tff(f181,plain,(
% 19.86/3.00 ~$less(sK17,0) | $product(sK13,sK13) != size1(sK16) | size1(sK16) != $sum(num1(sK16),0) | $less(num1(sK16),1)),
% 19.86/3.00 inference(definition_unfolding,[],[f170,f160])).
% 19.86/3.00
% 19.86/3.00 cnf(c_53,plain,
% 19.86/3.00 ($product_int(X0_3,1) = X0_3),
% 19.86/3.00 inference(cnf_transformation,[],[f46])).
% 19.86/3.00
% 19.86/3.00 cnf(c_54,plain,
% 19.86/3.00 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 19.86/3.00 inference(cnf_transformation,[],[f45])).
% 19.86/3.00
% 19.86/3.00 cnf(c_55,plain,
% 19.86/3.00 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 19.86/3.00 inference(cnf_transformation,[],[f44])).
% 19.86/3.00
% 19.86/3.00 cnf(c_59,plain,
% 19.86/3.00 (X0_3 = X1_3|$less_int(X0_3,X1_3)|$less_int(X1_3,X0_3)),
% 19.86/3.00 inference(cnf_transformation,[],[f40])).
% 19.86/3.00
% 19.86/3.00 cnf(c_60,plain,
% 19.86/3.00 (~$less_int(X0_3,X1_3)|~$less_int(X1_3,X2_3)|$less_int(X0_3,X2_3)),
% 19.86/3.00 inference(cnf_transformation,[],[f39])).
% 19.86/3.00
% 19.86/3.00 cnf(c_65,plain,
% 19.86/3.00 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 19.86/3.00 inference(cnf_transformation,[],[f34])).
% 19.86/3.00
% 19.86/3.00 cnf(c_66,plain,
% 19.86/3.00 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 19.86/3.00 inference(cnf_transformation,[],[f33])).
% 19.86/3.00
% 19.86/3.00 cnf(c_74,plain,
% 19.86/3.00 (~$less_int($product_int(X0_3,X1_3),$product_int(X2_3,X1_3))|$less_int(X0_3,X2_3)|
% 19.86/3.00 $less_int(X1_3,0)),
% 19.86/3.00 inference(cnf_transformation,[],[f126])).
% 19.86/3.00
% 19.86/3.00 cnf(c_83,plain,
% 19.86/3.00 (~repr1(X0_17,X0_3,sK3(X0_17,X1_3,X0_3))|~repr1(X0_17,X1_3,sK3(X0_17,X1_3,X0_3))|
% 19.86/3.00 same1(X0_17,X1_3,X0_3)),
% 19.86/3.00 inference(cnf_transformation,[],[f138])).
% 19.86/3.00
% 19.86/3.00 cnf(c_84,plain,
% 19.86/3.00 (repr1(X0_17,X0_3,sK3(X0_17,X1_3,X0_3))|repr1(X0_17,X1_3,sK3(X0_17,X1_3,X0_3))|
% 19.86/3.00 same1(X0_17,X1_3,X0_3)),
% 19.86/3.00 inference(cnf_transformation,[],[f137])).
% 19.86/3.00
% 19.86/3.00 cnf(c_90,plain,
% 19.86/3.00 (path1(X0_19,X0_3,X0_3)),
% 19.86/3.00 inference(cnf_transformation,[],[f142])).
% 19.86/3.00
% 19.86/3.00 cnf(c_107,negated_conjecture,
% 19.86/3.00 ($sum_int(num1(sK16),0) != size1(sK16)|$product_int(sK13,sK13) != size1(sK16)|
% 19.86/3.00 ~same1(sK16,sK17,sK18)|~path1(sK15,sK17,sK18)|$less_int(num1(sK16),1)),
% 19.86/3.00 inference(cnf_transformation,[],[f176])).
% 19.86/3.00
% 19.86/3.00 cnf(c_108,negated_conjecture,
% 19.86/3.00 ($sum_int(num1(sK16),0) != size1(sK16)|$product_int(sK13,sK13) != size1(sK16)|
% 19.86/3.00 $less_int(num1(sK16),1)|same1(sK16,sK17,sK18)|path1(sK15,sK17,sK18)),
% 19.86/3.00 inference(cnf_transformation,[],[f177])).
% 19.86/3.00
% 19.86/3.00 cnf(c_109,negated_conjecture,
% 19.86/3.00 ($sum_int(num1(sK16),0) != size1(sK16)|$product_int(sK13,sK13) != size1(sK16)|
% 19.86/3.00 $less_int(sK18,$product_int(sK13,sK13))|$less_int(num1(sK16),1)),
% 19.86/3.00 inference(cnf_transformation,[],[f178])).
% 19.86/3.00
% 19.86/3.00 cnf(c_110,negated_conjecture,
% 19.86/3.00 ($sum_int(num1(sK16),0) != size1(sK16)|$product_int(sK13,sK13) != size1(sK16)|
% 19.86/3.00 ~$less_int(sK18,0)|$less_int(num1(sK16),1)),
% 19.86/3.00 inference(cnf_transformation,[],[f179])).
% 19.86/3.00
% 19.86/3.00 cnf(c_111,negated_conjecture,
% 19.86/3.00 ($sum_int(num1(sK16),0) != size1(sK16)|$product_int(sK13,sK13) != size1(sK16)|
% 19.86/3.00 $less_int(sK17,$product_int(sK13,sK13))|$less_int(num1(sK16),1)),
% 19.86/3.00 inference(cnf_transformation,[],[f180])).
% 19.86/3.00
% 19.86/3.00 cnf(c_112,negated_conjecture,
% 19.86/3.00 ($sum_int(num1(sK16),0) != size1(sK16)|$product_int(sK13,sK13) != size1(sK16)|
% 19.86/3.00 ~$less_int(sK17,0)|$less_int(num1(sK16),1)),
% 19.86/3.00 inference(cnf_transformation,[],[f181])).
% 19.86/3.00
% 19.86/3.00 cnf(c_113,negated_conjecture,
% 19.86/3.00 (~$less_int(X0_3,$product_int(sK13,sK13))|~$less_int(X1_3,$product_int(sK13,sK13))|
% 19.86/3.00 ~same1(sK16,X0_3,X1_3)|X0_3 = X1_3|$less_int(X0_3,0)|$less_int(X1_3,0)),
% 19.86/3.00 inference(cnf_transformation,[],[f169])).
% 19.86/3.00
% 19.86/3.00 cnf(c_117,negated_conjecture,
% 19.86/3.00 ($product_int(sK13,sK13) = size1(sK16)),
% 19.86/3.00 inference(cnf_transformation,[],[f165])).
% 19.86/3.00
% 19.86/3.00 cnf(c_118,negated_conjecture,
% 19.86/3.00 ($product_int(sK13,sK13) = num1(sK16)),
% 19.86/3.00 inference(cnf_transformation,[],[f164])).
% 19.86/3.00
% 19.86/3.00 cnf(c_120,negated_conjecture,
% 19.86/3.00 (~path1(sK15,X0_3,X1_3)|X0_3 = X1_3),
% 19.86/3.00 inference(cnf_transformation,[],[f162])).
% 19.86/3.00
% 19.86/3.00 cnf(c_122,negated_conjecture,
% 19.86/3.00 (~$less_int(sK13,1)),
% 19.86/3.00 inference(cnf_transformation,[],[f159])).
% 19.86/3.00
% 19.86/3.00 cnf(c_123,plain,($less_int(0,1)),theory(arith)).
% 19.86/3.00
% 19.86/3.00 cnf(c_174,negated_conjecture,
% 19.86/3.00 ($sum_int(num1(sK16),0) != size1(sK16)|~$less_int(sK17,0)|$less_int(num1(sK16),1)),
% 19.86/3.00 inference(global_subsumption_just,[status(thm)],[c_112,c_117,c_112])).
% 19.86/3.00
% 19.86/3.00 cnf(c_176,negated_conjecture,
% 19.86/3.00 ($sum_int(num1(sK16),0) != size1(sK16)|~$less_int(sK18,0)|$less_int(num1(sK16),1)),
% 19.86/3.00 inference(global_subsumption_just,[status(thm)],[c_110,c_117,c_110])).
% 19.86/3.00
% 19.86/3.00 cnf(c_178,negated_conjecture,
% 19.86/3.00 ($sum_int(num1(sK16),0) != size1(sK16)|$less_int(sK17,$product_int(sK13,sK13))|
% 19.86/3.00 $less_int(num1(sK16),1)),
% 19.86/3.00 inference(global_subsumption_just,[status(thm)],[c_111,c_117,c_111])).
% 19.86/3.00
% 19.86/3.00 cnf(c_180,negated_conjecture,
% 19.86/3.00 ($sum_int(num1(sK16),0) != size1(sK16)|$less_int(sK18,$product_int(sK13,sK13))|
% 19.86/3.00 $less_int(num1(sK16),1)),
% 19.86/3.00 inference(global_subsumption_just,[status(thm)],[c_109,c_117,c_109])).
% 19.86/3.00
% 19.86/3.00 cnf(c_184,negated_conjecture,
% 19.86/3.00 ($sum_int(num1(sK16),0) != size1(sK16)|$less_int(num1(sK16),1)|same1(sK16,sK17,sK18)|
% 19.86/3.00 path1(sK15,sK17,sK18)),
% 19.86/3.00 inference(global_subsumption_just,[status(thm)],[c_108,c_117,c_108])).
% 19.86/3.00
% 19.86/3.00 cnf(c_186,negated_conjecture,
% 19.86/3.00 ($sum_int(num1(sK16),0) != size1(sK16)|~same1(sK16,sK17,sK18)|~path1(sK15,sK17,sK18)|
% 19.86/3.00 $less_int(num1(sK16),1)),
% 19.86/3.00 inference(global_subsumption_just,[status(thm)],[c_107,c_117,c_107])).
% 19.86/3.00
% 19.86/3.00 cnf(c_188,negated_conjecture,
% 19.86/3.00 ($sum_int(0,num1(sK16)) != size1(sK16)|~$less_int(sK17,0)|$less_int(num1(sK16),1)),
% 19.86/3.00 inference(theory_normalisation,[status(thm)],[c_174,c_54,c_55,c_65,c_66])).
% 19.86/3.00
% 19.86/3.00 cnf(c_189,negated_conjecture,
% 19.86/3.00 ($sum_int(0,num1(sK16)) != size1(sK16)|~$less_int(sK18,0)|$less_int(num1(sK16),1)),
% 19.86/3.00 inference(theory_normalisation,[status(thm)],[c_176,c_54,c_55,c_65,c_66])).
% 19.86/3.00
% 19.86/3.00 cnf(c_190,negated_conjecture,
% 19.86/3.00 ($sum_int(0,num1(sK16)) != size1(sK16)|$less_int(sK17,$product_int(sK13,sK13))|
% 19.86/3.00 $less_int(num1(sK16),1)),
% 19.86/3.00 inference(theory_normalisation,[status(thm)],[c_178,c_54,c_55,c_65,c_66])).
% 19.86/3.00
% 19.86/3.00 cnf(c_191,negated_conjecture,
% 19.86/3.00 ($sum_int(0,num1(sK16)) != size1(sK16)|$less_int(sK18,$product_int(sK13,sK13))|
% 19.86/3.00 $less_int(num1(sK16),1)),
% 19.86/3.00 inference(theory_normalisation,[status(thm)],[c_180,c_54,c_55,c_65,c_66])).
% 19.86/3.00
% 19.86/3.00 cnf(c_192,negated_conjecture,
% 19.86/3.00 ($sum_int(0,num1(sK16)) != size1(sK16)|$less_int(num1(sK16),1)|same1(sK16,sK17,sK18)|
% 19.86/3.00 path1(sK15,sK17,sK18)),
% 19.86/3.00 inference(theory_normalisation,[status(thm)],[c_184,c_54,c_55,c_65,c_66])).
% 19.86/3.00
% 19.86/3.00 cnf(c_193,negated_conjecture,
% 19.86/3.00 ($sum_int(0,num1(sK16)) != size1(sK16)|~same1(sK16,sK17,sK18)|~path1(sK15,sK17,sK18)|
% 19.86/3.00 $less_int(num1(sK16),1)),
% 19.86/3.00 inference(theory_normalisation,[status(thm)],[c_186,c_54,c_55,c_65,c_66])).
% 19.86/3.00
% 19.86/3.00 cnf(c_230,plain,
% 19.86/3.00 (~path1(sK15,X0_3,X1_3)|X0_3 = X1_3),
% 19.86/3.00 inference(prop_impl_just,[status(thm)],[c_120])).
% 19.86/3.00
% 19.86/3.00 cnf(c_716,plain,
% 19.86/3.00 (size1(sK16) = num1(sK16)),
% 19.86/3.00 inference(demodulation,[status(thm)],[c_118,c_117])).
% 19.86/3.00
% 19.86/3.00 cnf(c_841,plain,
% 19.86/3.00 (size1(sK16) != num1(sK16)|~$less_int(sK18,0)|$less_int(num1(sK16),1)),
% 19.86/3.00 inference(smt_theory_normalisation,[status(thm)],[c_189])).
% 19.86/3.00
% 19.86/3.00 cnf(c_842,plain,
% 19.86/3.00 (size1(sK16) != num1(sK16)|~$less_int(sK18,0)|$less_int(size1(sK16),1)),
% 19.86/3.00 inference(light_normalisation,[status(thm)],[c_841,c_716])).
% 19.86/3.00
% 19.86/3.00 cnf(c_843,plain,
% 19.86/3.00 (size1(sK16) != size1(sK16)|~$less_int(sK18,0)|$less_int(size1(sK16),1)),
% 19.86/3.00 inference(demodulation,[status(thm)],[c_842,c_716])).
% 19.86/3.00
% 19.86/3.00 cnf(c_844,plain,
% 19.86/3.00 (~$less_int(sK18,0)|$less_int(size1(sK16),1)),
% 19.86/3.00 inference(equality_resolution_simp,[status(thm)],[c_843])).
% 19.86/3.00
% 19.86/3.00 cnf(c_851,plain,
% 19.86/3.00 (size1(sK16) != num1(sK16)|~$less_int(sK17,0)|$less_int(num1(sK16),1)),
% 19.86/3.00 inference(smt_theory_normalisation,[status(thm)],[c_188])).
% 19.86/3.00
% 19.86/3.00 cnf(c_852,plain,
% 19.86/3.00 (size1(sK16) != num1(sK16)|~$less_int(sK17,0)|$less_int(size1(sK16),1)),
% 19.86/3.00 inference(light_normalisation,[status(thm)],[c_851,c_716])).
% 19.86/3.00
% 19.86/3.00 cnf(c_853,plain,
% 19.86/3.00 (size1(sK16) != size1(sK16)|~$less_int(sK17,0)|$less_int(size1(sK16),1)),
% 19.86/3.00 inference(demodulation,[status(thm)],[c_852,c_716])).
% 19.86/3.00
% 19.86/3.00 cnf(c_854,plain,
% 19.86/3.00 (~$less_int(sK17,0)|$less_int(size1(sK16),1)),
% 19.86/3.00 inference(equality_resolution_simp,[status(thm)],[c_853])).
% 19.86/3.00
% 19.86/3.00 cnf(c_867,plain,
% 19.86/3.00 (size1(sK16) != num1(sK16)|$less_int(sK18,$product_int(sK13,sK13))|
% 19.86/3.00 $less_int(num1(sK16),1)),
% 19.86/3.00 inference(smt_theory_normalisation,[status(thm)],[c_191])).
% 19.86/3.00
% 19.86/3.00 cnf(c_868,plain,
% 19.86/3.00 (size1(sK16) != num1(sK16)|$less_int(size1(sK16),1)|$less_int(sK18,size1(sK16))),
% 19.86/3.00 inference(light_normalisation,[status(thm)],[c_867,c_117,c_716])).
% 19.86/3.00
% 19.86/3.00 cnf(c_869,plain,
% 19.86/3.00 (size1(sK16) != size1(sK16)|$less_int(size1(sK16),1)|$less_int(sK18,size1(sK16))),
% 19.86/3.00 inference(demodulation,[status(thm)],[c_868,c_716])).
% 19.86/3.00
% 19.86/3.00 cnf(c_870,plain,
% 19.86/3.00 ($less_int(size1(sK16),1)|$less_int(sK18,size1(sK16))),
% 19.86/3.00 inference(equality_resolution_simp,[status(thm)],[c_869])).
% 19.86/3.00
% 19.86/3.00 cnf(c_877,plain,
% 19.86/3.00 (size1(sK16) != num1(sK16)|$less_int(sK17,$product_int(sK13,sK13))|
% 19.86/3.00 $less_int(num1(sK16),1)),
% 19.86/3.00 inference(smt_theory_normalisation,[status(thm)],[c_190])).
% 19.86/3.00
% 19.86/3.00 cnf(c_878,plain,
% 19.86/3.00 (size1(sK16) != num1(sK16)|$less_int(size1(sK16),1)|$less_int(sK17,size1(sK16))),
% 19.86/3.00 inference(light_normalisation,[status(thm)],[c_877,c_117,c_716])).
% 19.86/3.00
% 19.86/3.00 cnf(c_879,plain,
% 19.86/3.00 (size1(sK16) != size1(sK16)|$less_int(size1(sK16),1)|$less_int(sK17,size1(sK16))),
% 19.86/3.00 inference(demodulation,[status(thm)],[c_878,c_716])).
% 19.86/3.00
% 19.86/3.00 cnf(c_880,plain,
% 19.86/3.00 ($less_int(size1(sK16),1)|$less_int(sK17,size1(sK16))),
% 19.86/3.00 inference(equality_resolution_simp,[status(thm)],[c_879])).
% 19.86/3.00
% 19.86/3.00 cnf(c_935,plain,
% 19.86/3.00 (size1(sK16) != num1(sK16)|$less_int(num1(sK16),1)|same1(sK16,sK17,sK18)|
% 19.86/3.00 path1(sK15,sK17,sK18)),
% 19.86/3.00 inference(smt_theory_normalisation,[status(thm)],[c_192])).
% 19.86/3.00
% 19.86/3.00 cnf(c_936,plain,
% 19.86/3.00 (size1(sK16) != num1(sK16)|$less_int(size1(sK16),1)|same1(sK16,sK17,sK18)|
% 19.86/3.00 path1(sK15,sK17,sK18)),
% 19.86/3.00 inference(light_normalisation,[status(thm)],[c_935,c_716])).
% 19.86/3.00
% 19.86/3.00 cnf(c_937,plain,
% 19.86/3.00 (size1(sK16) != size1(sK16)|$less_int(size1(sK16),1)|same1(sK16,sK17,sK18)|
% 19.86/3.00 path1(sK15,sK17,sK18)),
% 19.86/3.00 inference(demodulation,[status(thm)],[c_936,c_716])).
% 19.86/3.00
% 19.86/3.00 cnf(c_938,plain,
% 19.86/3.00 ($less_int(size1(sK16),1)|same1(sK16,sK17,sK18)|path1(sK15,sK17,sK18)),
% 19.86/3.00 inference(equality_resolution_simp,[status(thm)],[c_937])).
% 19.86/3.00
% 19.86/3.00 cnf(c_978,plain,
% 19.86/3.00 (size1(sK16) != num1(sK16)|~same1(sK16,sK17,sK18)|~path1(sK15,sK17,sK18)|
% 19.86/3.00 $less_int(num1(sK16),1)),
% 19.86/3.00 inference(smt_theory_normalisation,[status(thm)],[c_193])).
% 19.86/3.00
% 19.86/3.00 cnf(c_979,plain,
% 19.86/3.00 (size1(sK16) != num1(sK16)|~same1(sK16,sK17,sK18)|~path1(sK15,sK17,sK18)|
% 19.86/3.00 $less_int(size1(sK16),1)),
% 19.86/3.00 inference(light_normalisation,[status(thm)],[c_978,c_716])).
% 19.86/3.00
% 19.86/3.00 cnf(c_980,plain,
% 19.86/3.00 (size1(sK16) != size1(sK16)|~same1(sK16,sK17,sK18)|~path1(sK15,sK17,sK18)|
% 19.86/3.00 $less_int(size1(sK16),1)),
% 19.86/3.00 inference(demodulation,[status(thm)],[c_979,c_716])).
% 19.86/3.00
% 19.86/3.00 cnf(c_981,plain,
% 19.86/3.00 (~same1(sK16,sK17,sK18)|~path1(sK15,sK17,sK18)|$less_int(size1(sK16),1)),
% 19.86/3.00 inference(equality_resolution_simp,[status(thm)],[c_980])).
% 19.86/3.00
% 19.86/3.00 cnf(c_1022,plain,
% 19.86/3.00 (~same1(sK16,X0_3,X1_3)|~$less_int(X0_3,size1(sK16))|~$less_int(X1_3,size1(sK16))|
% 19.86/3.00 X0_3 = X1_3|$less_int(X0_3,0)|$less_int(X1_3,0)),
% 19.86/3.00 inference(light_normalisation,[status(thm)],[c_113,c_117])).
% 19.86/3.00
% 19.86/3.00 cnf(c_1866,plain,
% 19.86/3.00 (X0_3 != sK17|X1_3 != sK18|sK16 != sK16|~$less_int(X0_3,size1(sK16))|
% 19.86/3.00 ~$less_int(X1_3,size1(sK16))|X0_3 = X1_3|$less_int(size1(sK16),1)|
% 19.86/3.00 path1(sK15,sK17,sK18)|$less_int(X0_3,0)|$less_int(X1_3,0)),
% 19.86/3.00 inference(resolution_lifted,[status(thm)],[c_938,c_1022])).
% 19.86/3.00
% 19.86/3.00 cnf(c_1867,plain,
% 19.86/3.00 (~$less_int(sK17,size1(sK16))|~$less_int(sK18,size1(sK16))|sK17 = sK18|
% 19.86/3.00 $less_int(size1(sK16),1)|path1(sK15,sK17,sK18)|$less_int(sK17,0)|
% 19.86/3.00 $less_int(sK18,0)),
% 19.86/3.00 inference(unflattening,[status(thm)],[c_1866])).
% 19.86/3.00
% 19.86/3.00 cnf(c_1868,plain,
% 19.86/3.00 (sK17 = sK18|$less_int(size1(sK16),1)|path1(sK15,sK17,sK18)),
% 19.86/3.00 inference(global_subsumption_just,
% 19.86/3.00 [status(thm)],
% 19.86/3.00 [c_1867,c_844,c_854,c_870,c_880,c_1867])).
% 19.86/3.00
% 19.86/3.00 cnf(c_1876,plain,
% 19.86/3.00 (sK17 = sK18|$less_int(size1(sK16),1)),
% 19.86/3.00 inference(forward_subsumption_resolution,[status(thm)],[c_1868,c_230])).
% 19.86/3.00
% 19.86/3.00 cnf(c_3587,plain,($product_int(sK13,sK13) = sP0_iProver_def),definition).
% 19.86/3.00
% 19.86/3.00 cnf(c_3588,plain,(size1(sK16) = sP1_iProver_def),definition).
% 19.86/3.00
% 19.86/3.00 cnf(c_3591,negated_conjecture,
% 19.86/3.00 (sP0_iProver_def = sP1_iProver_def),
% 19.86/3.00 inference(demodulation,[status(thm)],[c_117,c_3588,c_3587])).
% 19.86/3.00
% 19.86/3.00 cnf(c_3593,plain,(X0_3 = X0_3),theory(equality)).
% 19.86/3.00
% 19.86/3.00 cnf(c_3597,plain,(X0_19 = X0_19),theory(equality)).
% 19.86/3.00
% 19.86/3.00 cnf(c_3598,plain,(X0_3 != X1_3|X2_3 != X1_3|X2_3 = X0_3),theory(equality)).
% 19.86/3.00
% 19.86/3.00 cnf(c_3606,plain,
% 19.86/3.00 (X0_3 != X1_3|X2_3 != X3_3|~$less_int(X1_3,X3_3)|$less_int(X0_3,X2_3)),
% 19.86/3.00 theory(equality)).
% 19.86/3.00
% 19.86/3.00 cnf(c_3612,plain,
% 19.86/3.00 (X0_3 != X1_3|X0_17 != X1_17|X2_3 != X3_3|~same1(X1_17,X1_3,X3_3)|
% 19.86/3.00 same1(X0_17,X0_3,X2_3)),
% 19.86/3.00 theory(equality)).
% 19.86/3.00
% 19.86/3.00 cnf(c_3613,plain,
% 19.86/3.00 (X0_3 != X1_3|X0_19 != X1_19|X2_3 != X3_3|~path1(X1_19,X1_3,X3_3)|
% 19.86/3.00 path1(X0_19,X0_3,X2_3)),
% 19.86/3.00 theory(equality)).
% 19.86/3.00
% 19.86/3.00 cnf(c_3624,plain,
% 19.86/3.00 (sK15 = sK15),
% 19.86/3.00 inference(instantiation,[status(thm)],[c_3597])).
% 19.86/3.00
% 19.86/3.00 cnf(c_4903,plain,
% 19.86/3.00 (sK13 = 1|$less_int(sK13,1)|$less_int(1,sK13)),
% 19.86/3.00 inference(instantiation,[status(thm)],[c_59])).
% 19.86/3.00
% 19.86/3.00 cnf(c_4922,plain,
% 19.86/3.00 (~$less_int(size1(sK16),1)|~$less_int(1,X0_3)|$less_int(size1(sK16),X0_3)),
% 19.86/3.00 inference(instantiation,[status(thm)],[c_60])).
% 19.86/3.00
% 19.86/3.00 cnf(c_4923,plain,
% 19.86/3.00 (~$less_int(size1(sK16),1)|~$less_int(1,sK13)|$less_int(size1(sK16),sK13)),
% 19.86/3.00 inference(instantiation,[status(thm)],[c_4922])).
% 19.86/3.00
% 19.86/3.00 cnf(c_4925,plain,
% 19.86/3.00 (X0_3 != size1(sK16)|X1_3 != 1|~$less_int(size1(sK16),1)|$less_int(X0_3,X1_3)),
% 19.86/3.00 inference(instantiation,[status(thm)],[c_3606])).
% 19.86/3.00
% 19.86/3.00 cnf(c_4935,plain,
% 19.86/3.00 (repr1(sK16,X0_3,sK3(sK16,sK18,X0_3))|repr1(sK16,sK18,sK3(sK16,sK18,X0_3))|
% 19.86/3.00 same1(sK16,sK18,X0_3)),
% 19.86/3.00 inference(instantiation,[status(thm)],[c_84])).
% 19.86/3.00
% 19.86/3.00 cnf(c_5236,plain,
% 19.86/3.00 (~$less_int(X0_3,0)|$less_int(X0_3,1)),
% 19.86/3.00 inference(resolution,[status(thm)],[c_60,c_123])).
% 19.86/3.00
% 19.86/3.00 cnf(c_5237,plain,
% 19.86/3.00 (~$less_int(sK13,0)|$less_int(sK13,1)),
% 19.86/3.00 inference(instantiation,[status(thm)],[c_5236])).
% 19.86/3.00
% 19.86/3.00 cnf(c_7048,plain,
% 19.86/3.00 (X0_3 != X1_3|X1_3 = X0_3),
% 19.86/3.00 inference(resolution,[status(thm)],[c_3598,c_3593])).
% 19.86/3.00
% 19.86/3.00 cnf(c_7061,plain,
% 19.86/3.00 (X0_3 != sP1_iProver_def|sP0_iProver_def = X0_3),
% 19.86/3.00 inference(resolution,[status(thm)],[c_3598,c_3591])).
% 19.86/3.00
% 19.86/3.00 cnf(c_7145,plain,
% 19.86/3.00 (sP0_iProver_def = size1(sK16)),
% 19.86/3.00 inference(resolution,[status(thm)],[c_7061,c_3588])).
% 19.86/3.00
% 19.86/3.00 cnf(c_7180,plain,
% 19.86/3.00 (size1(sK16) != size1(sK16)|X0_3 != 1|~$less_int(size1(sK16),1)|$less_int(size1(sK16),X0_3)),
% 19.86/3.00 inference(instantiation,[status(thm)],[c_4925])).
% 19.86/3.00
% 19.86/3.00 cnf(c_7181,plain,
% 19.86/3.00 (X0_3 != 1|~$less_int(size1(sK16),1)|$less_int(size1(sK16),X0_3)),
% 19.86/3.00 inference(equality_resolution_simp,[status(thm)],[c_7180])).
% 19.86/3.00
% 19.86/3.00 cnf(c_7182,plain,
% 19.86/3.00 (sK13 != 1|~$less_int(size1(sK16),1)|$less_int(size1(sK16),sK13)),
% 19.86/3.00 inference(instantiation,[status(thm)],[c_7181])).
% 19.86/3.00
% 19.86/3.00 cnf(c_7521,plain,
% 19.86/3.00 (X0_3 != X1_3|~$less_int(X1_3,X2_3)|$less_int(X0_3,$product_int(X2_3,1))),
% 19.86/3.00 inference(resolution,[status(thm)],[c_3606,c_53])).
% 19.86/3.00
% 19.86/3.00 cnf(c_7524,plain,
% 19.86/3.00 (X0_3 != X1_3|~$less_int(X1_3,$product_int(X2_3,X3_3))|$less_int(X0_3,$product_int(X3_3,X2_3))),
% 19.86/3.00 inference(resolution,[status(thm)],[c_3606,c_55])).
% 19.86/3.00
% 19.86/3.00 cnf(c_7536,plain,
% 19.86/3.00 (X0_3 != X1_3|~$less_int(X1_3,X2_3)|$less_int(X0_3,X2_3)),
% 19.86/3.00 inference(resolution,[status(thm)],[c_3606,c_3593])).
% 19.86/3.00
% 19.86/3.00 cnf(c_9337,plain,
% 19.86/3.00 (sP1_iProver_def = sP0_iProver_def),
% 19.86/3.00 inference(resolution,[status(thm)],[c_7048,c_3591])).
% 19.86/3.00
% 19.86/3.00 cnf(c_12215,plain,
% 19.86/3.00 (~$less_int(size1(sK16),X0_3)|$less_int(sP0_iProver_def,X0_3)),
% 19.86/3.00 inference(resolution,[status(thm)],[c_7536,c_7145])).
% 19.86/3.00
% 19.86/3.00 cnf(c_12216,plain,
% 19.86/3.00 (~$less_int(size1(sK16),sK13)|$less_int(sP0_iProver_def,sK13)),
% 19.86/3.00 inference(instantiation,[status(thm)],[c_12215])).
% 19.86/3.00
% 19.86/3.00 cnf(c_12229,plain,
% 19.86/3.00 (~$less_int(sP0_iProver_def,X0_3)|$less_int(sP1_iProver_def,X0_3)),
% 19.86/3.00 inference(resolution,[status(thm)],[c_7536,c_9337])).
% 19.86/3.00
% 19.86/3.00 cnf(c_12230,plain,
% 19.86/3.00 (~$less_int(sP0_iProver_def,sK13)|$less_int(sP1_iProver_def,sK13)),
% 19.86/3.00 inference(instantiation,[status(thm)],[c_12229])).
% 19.86/3.00
% 19.86/3.00 cnf(c_13829,plain,
% 19.86/3.00 (~$less_int(sP1_iProver_def,X0_3)|$less_int(sP0_iProver_def,$product_int(X0_3,1))),
% 19.86/3.00 inference(resolution,[status(thm)],[c_7521,c_3591])).
% 19.86/3.00
% 19.86/3.00 cnf(c_17791,plain,
% 19.86/3.00 (X0_3 != sP0_iProver_def|~$less_int(sP1_iProver_def,X1_3)|$less_int(X0_3,$product_int(1,X1_3))),
% 19.86/3.00 inference(resolution,[status(thm)],[c_7524,c_13829])).
% 19.86/3.00
% 19.86/3.00 cnf(c_18305,plain,
% 19.86/3.00 (path1(sK15,sK18,sK18)),
% 19.86/3.00 inference(instantiation,[status(thm)],[c_90])).
% 19.86/3.00
% 19.86/3.00 cnf(c_19721,plain,
% 19.86/3.00 ($product_int(X0_3,X1_3) != sP0_iProver_def|~$less_int(sP1_iProver_def,X1_3)|
% 19.86/3.00 $less_int(X0_3,1)|$less_int(X1_3,0)),
% 19.86/3.00 inference(resolution,[status(thm)],[c_17791,c_74])).
% 19.86/3.00
% 19.86/3.00 cnf(c_19722,plain,
% 19.86/3.00 ($product_int(sK13,sK13) != sP0_iProver_def|~$less_int(sP1_iProver_def,sK13)|
% 19.86/3.00 $less_int(sK13,1)|$less_int(sK13,0)),
% 19.86/3.00 inference(instantiation,[status(thm)],[c_19721])).
% 19.86/3.00
% 19.86/3.00 cnf(c_19856,plain,
% 19.86/3.00 (repr1(sK16,sK18,sK3(sK16,sK18,sK18))|same1(sK16,sK18,sK18)),
% 19.86/3.00 inference(instantiation,[status(thm)],[c_4935])).
% 19.86/3.00
% 19.86/3.00 cnf(c_47798,plain,
% 19.86/3.00 (sK15 != X0_19|sK17 != X0_3|sK18 != X1_3|~path1(X0_19,X0_3,X1_3)|
% 19.86/3.00 path1(sK15,sK17,sK18)),
% 19.86/3.00 inference(instantiation,[status(thm)],[c_3613])).
% 19.86/3.00
% 19.86/3.00 cnf(c_47803,plain,
% 19.86/3.00 (X0_3 != X1_3|sK16 != X0_17|sK17 != X2_3|~same1(X0_17,X2_3,X1_3)|
% 19.86/3.00 same1(sK16,sK17,X0_3)),
% 19.86/3.00 inference(instantiation,[status(thm)],[c_3612])).
% 19.86/3.00
% 19.86/3.00 cnf(c_47860,plain,
% 19.86/3.00 (sK15 != X0_19|sK17 != sK18|sK18 != X0_3|~path1(X0_19,sK18,X0_3)|
% 19.86/3.00 path1(sK15,sK17,sK18)),
% 19.86/3.00 inference(instantiation,[status(thm)],[c_47798])).
% 19.86/3.00
% 19.86/3.00 cnf(c_47873,plain,
% 19.86/3.00 (X0_3 != X1_3|sK16 != X0_17|sK17 != sK18|~same1(X0_17,sK18,X1_3)|
% 19.86/3.00 same1(sK16,sK17,X0_3)),
% 19.86/3.00 inference(instantiation,[status(thm)],[c_47803])).
% 19.86/3.00
% 19.86/3.00 cnf(c_47998,plain,
% 19.86/3.00 (~repr1(sK16,X0_3,sK3(sK16,sK18,X0_3))|~repr1(sK16,sK18,sK3(sK16,sK18,X0_3))|
% 19.86/3.00 same1(sK16,sK18,X0_3)),
% 19.86/3.00 inference(instantiation,[status(thm)],[c_83])).
% 19.86/3.00
% 19.86/3.00 cnf(c_48519,plain,
% 19.86/3.00 (sK15 != X0_19|sK17 != sK18|sK18 != sK18|~path1(X0_19,sK18,sK18)|
% 19.86/3.00 path1(sK15,sK17,sK18)),
% 19.86/3.00 inference(instantiation,[status(thm)],[c_47860])).
% 19.86/3.00
% 19.86/3.00 cnf(c_48520,plain,
% 19.86/3.00 (sK15 != X0_19|sK17 != sK18|~path1(X0_19,sK18,sK18)|path1(sK15,sK17,sK18)),
% 19.86/3.00 inference(equality_resolution_simp,[status(thm)],[c_48519])).
% 19.86/3.00
% 19.86/3.00 cnf(c_48521,plain,
% 19.86/3.00 (sK15 != sK15|sK17 != sK18|~path1(sK15,sK18,sK18)|path1(sK15,sK17,sK18)),
% 19.86/3.00 inference(instantiation,[status(thm)],[c_48520])).
% 19.86/3.00
% 19.86/3.00 cnf(c_49022,plain,
% 19.86/3.00 (~repr1(sK16,sK18,sK3(sK16,sK18,sK18))|same1(sK16,sK18,sK18)),
% 19.86/3.00 inference(instantiation,[status(thm)],[c_47998])).
% 19.86/3.00
% 19.86/3.00 cnf(c_49161,plain,
% 19.86/3.00 (X0_3 != sK18|sK16 != sK16|sK17 != sK18|~same1(sK16,sK18,sK18)|same1(sK16,sK17,X0_3)),
% 19.86/3.00 inference(instantiation,[status(thm)],[c_47873])).
% 19.86/3.00
% 19.86/3.00 cnf(c_49165,plain,
% 19.86/3.00 (X0_3 != sK18|sK17 != sK18|~same1(sK16,sK18,sK18)|same1(sK16,sK17,X0_3)),
% 19.86/3.00 inference(equality_resolution_simp,[status(thm)],[c_49161])).
% 19.86/3.00
% 19.86/3.00 cnf(c_57215,plain,
% 19.86/3.00 (sK17 != sK18|sK18 != sK18|~same1(sK16,sK18,sK18)|same1(sK16,sK17,sK18)),
% 19.86/3.00 inference(instantiation,[status(thm)],[c_49165])).
% 19.86/3.00
% 19.86/3.00 cnf(c_57216,plain,
% 19.86/3.00 (sK17 != sK18|~same1(sK16,sK18,sK18)|same1(sK16,sK17,sK18)),
% 19.86/3.00 inference(equality_resolution_simp,[status(thm)],[c_57215])).
% 19.86/3.00
% 19.86/3.00 cnf(c_57217,plain,
% 19.86/3.00 ($false),
% 19.86/3.00 inference(prop_impl_just,
% 19.86/3.00 [status(thm)],
% 19.86/3.00 [c_57216,c_49022,c_48521,c_19856,c_19722,c_18305,c_12230,
% 19.86/3.00 c_12216,c_7182,c_5237,c_4923,c_4903,c_3587,c_3624,c_1876,
% 19.86/3.00 c_981,c_122])).
% 19.86/3.00
% 19.86/3.00
% 19.86/3.00 % SZS output end CNFRefutation for theBenchmark.p
% 19.86/3.00
% 19.86/3.00
%------------------------------------------------------------------------------