TSTP Solution File: SWW642_2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWW642_2 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.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 : Fri May 3 03:25:44 EDT 2024
% Result : Theorem 11.91s 2.14s
% Output : CNFRefutation 11.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW642_2 : TPTP v8.1.2. Released v6.1.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 22:11:03 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running TFA theorem proving
% 0.20/0.47 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
% 11.91/2.14 % SZS status Started for theBenchmark.p
% 11.91/2.14 % SZS status Theorem for theBenchmark.p
% 11.91/2.14
% 11.91/2.14 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 11.91/2.14
% 11.91/2.14 ------ iProver source info
% 11.91/2.14
% 11.91/2.14 git: date: 2024-05-02 19:28:25 +0000
% 11.91/2.14 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 11.91/2.14 git: non_committed_changes: false
% 11.91/2.14
% 11.91/2.14 ------ Parsing...
% 11.91/2.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 11.91/2.14
% 11.91/2.14 ------ Preprocessing... sup_sim: 10 sf_s rm: 18 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 10 0s sf_e pe_s pe_e
% 11.91/2.14
% 11.91/2.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 11.91/2.14
% 11.91/2.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 11.91/2.14 ------ Proving...
% 11.91/2.14 ------ Problem Properties
% 11.91/2.14
% 11.91/2.14
% 11.91/2.14 clauses 39
% 11.91/2.14 conjectures 3
% 11.91/2.14 EPR 8
% 11.91/2.14 Horn 29
% 11.91/2.14 unary 20
% 11.91/2.14 binary 11
% 11.91/2.14 lits 68
% 11.91/2.14 lits eq 38
% 11.91/2.14 fd_pure 1
% 11.91/2.14 fd_pseudo 0
% 11.91/2.14 fd_cond 1
% 11.91/2.14 fd_pseudo_cond 2
% 11.91/2.14 AC symbols 2
% 11.91/2.14
% 11.91/2.14 ------ Input Options Time Limit: Unbounded
% 11.91/2.14
% 11.91/2.14
% 11.91/2.14 ------
% 11.91/2.14 Current options:
% 11.91/2.14 ------
% 11.91/2.14
% 11.91/2.14
% 11.91/2.14
% 11.91/2.14
% 11.91/2.14 ------ Proving...
% 11.91/2.14
% 11.91/2.14
% 11.91/2.14 % SZS status Theorem for theBenchmark.p
% 11.91/2.14
% 11.91/2.14 % SZS output start CNFRefutation for theBenchmark.p
% 11.91/2.14
% 11.91/2.14 tff(f17,axiom,(
% 11.91/2.14 1 = fact1(0)),
% 11.91/2.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0)).
% 11.91/2.14
% 11.91/2.14 tff(f18,axiom,(
% 11.91/2.14 ! [X8 : $int] : ($less(0,X8) => fact1(X8) = $product(X8,fact1($difference(X8,1))))),
% 11.91/2.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_n)).
% 11.91/2.14
% 11.91/2.14 tff(f19,conjecture,(
% 11.91/2.14 ! [X1 : $int] : ($lesseq(0,X1) => ! [X7 : $int] : (1 = X7 => ! [X4 : $int] : (X1 = X4 => (! [X5 : $int,X9 : $int] : ((fact1(X1) = $product(X9,fact1(X5)) & $lesseq(0,X5)) => ((0 = X5 => fact1(X1) = X9) & (0 != X5 => ! [X10 : $int] : ($product(X9,X5) = X10 => ! [X11 : $int] : ($difference(X5,1) = X11 => ($less(X11,X5) & $lesseq(0,X5) & fact1(X1) = $product(X10,fact1(X11)) & $lesseq(0,X11))))))) & $product(X7,fact1(X4)) = fact1(X1) & $lesseq(0,X4)))))),
% 11.91/2.15 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_factorial)).
% 11.91/2.15
% 11.91/2.15 tff(f20,negated_conjecture,(
% 11.91/2.15 ~! [X1 : $int] : ($lesseq(0,X1) => ! [X7 : $int] : (1 = X7 => ! [X4 : $int] : (X1 = X4 => (! [X5 : $int,X9 : $int] : ((fact1(X1) = $product(X9,fact1(X5)) & $lesseq(0,X5)) => ((0 = X5 => fact1(X1) = X9) & (0 != X5 => ! [X10 : $int] : ($product(X9,X5) = X10 => ! [X11 : $int] : ($difference(X5,1) = X11 => ($less(X11,X5) & $lesseq(0,X5) & fact1(X1) = $product(X10,fact1(X11)) & $lesseq(0,X11))))))) & $product(X7,fact1(X4)) = fact1(X1) & $lesseq(0,X4)))))),
% 11.91/2.15 inference(negated_conjecture,[],[f19])).
% 11.91/2.15
% 11.91/2.15 tff(f22,plain,(
% 11.91/2.15 ! [X8 : $int] : ($less(0,X8) => fact1(X8) = $product(X8,fact1($sum(X8,$uminus(1)))))),
% 11.91/2.15 inference(theory_normalization,[],[f18])).
% 11.91/2.15
% 11.91/2.15 tff(f23,plain,(
% 11.91/2.15 ~! [X1 : $int] : (~$less(X1,0) => ! [X7 : $int] : (1 = X7 => ! [X4 : $int] : (X1 = X4 => (! [X5 : $int,X9 : $int] : ((fact1(X1) = $product(X9,fact1(X5)) & ~$less(X5,0)) => ((0 = X5 => fact1(X1) = X9) & (0 != X5 => ! [X10 : $int] : ($product(X9,X5) = X10 => ! [X11 : $int] : ($sum(X5,$uminus(1)) = X11 => ($less(X11,X5) & ~$less(X5,0) & fact1(X1) = $product(X10,fact1(X11)) & ~$less(X11,0))))))) & $product(X7,fact1(X4)) = fact1(X1) & ~$less(X4,0)))))),
% 11.91/2.15 inference(theory_normalization,[],[f20])).
% 11.91/2.15
% 11.91/2.15 tff(f24,plain,(
% 11.91/2.15 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 11.91/2.15 introduced(theory_axiom_138,[])).
% 11.91/2.15
% 11.91/2.15 tff(f25,plain,(
% 11.91/2.15 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 11.91/2.15 introduced(theory_axiom_139,[])).
% 11.91/2.15
% 11.91/2.15 tff(f27,plain,(
% 11.91/2.15 ( ! [X0 : $int,X1 : $int] : ($uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0))) )),
% 11.91/2.15 introduced(theory_axiom_142,[])).
% 11.91/2.15
% 11.91/2.15 tff(f30,plain,(
% 11.91/2.15 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 11.91/2.15 introduced(theory_axiom_146,[])).
% 11.91/2.15
% 11.91/2.15 tff(f31,plain,(
% 11.91/2.15 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 11.91/2.15 introduced(theory_axiom_147,[])).
% 11.91/2.15
% 11.91/2.15 tff(f35,plain,(
% 11.91/2.15 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 11.91/2.15 introduced(theory_axiom_138,[])).
% 11.91/2.15
% 11.91/2.15 tff(f36,plain,(
% 11.91/2.15 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 11.91/2.15 introduced(theory_axiom_139,[])).
% 11.91/2.15
% 11.91/2.15 tff(f37,plain,(
% 11.91/2.15 ( ! [X0 : $int] : ($product(X0,1) = X0) )),
% 11.91/2.15 introduced(theory_axiom_140,[])).
% 11.91/2.15
% 11.91/2.15 tff(f39,plain,(
% 11.91/2.15 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )),
% 11.91/2.15 introduced(theory_axiom_153,[])).
% 11.91/2.15
% 11.91/2.15 tff(f54,plain,(
% 11.91/2.15 ! [X0 : $int] : ($less(0,X0) => fact1(X0) = $product(X0,fact1($sum(X0,$uminus(1)))))),
% 11.91/2.15 inference(rectify,[],[f22])).
% 11.91/2.15
% 11.91/2.15 tff(f55,plain,(
% 11.91/2.15 ~! [X0 : $int] : (~$less(X0,0) => ! [X1 : $int] : (1 = X1 => ! [X2 : $int] : (X0 = X2 => (! [X3 : $int,X4 : $int] : ((fact1(X0) = $product(X4,fact1(X3)) & ~$less(X3,0)) => ((0 = X3 => fact1(X0) = X4) & (0 != X3 => ! [X5 : $int] : ($product(X4,X3) = X5 => ! [X6 : $int] : ($sum(X3,$uminus(1)) = X6 => ($less(X6,X3) & ~$less(X3,0) & fact1(X0) = $product(X5,fact1(X6)) & ~$less(X6,0))))))) & fact1(X0) = $product(X1,fact1(X2)) & ~$less(X2,0)))))),
% 11.91/2.15 inference(rectify,[],[f23])).
% 11.91/2.15
% 11.91/2.15 tff(f66,plain,(
% 11.91/2.15 ! [X0 : $int] : (fact1(X0) = $product(X0,fact1($sum(X0,$uminus(1)))) | ~$less(0,X0))),
% 11.91/2.15 inference(ennf_transformation,[],[f54])).
% 11.91/2.15
% 11.91/2.15 tff(f67,plain,(
% 11.91/2.15 ? [X0 : $int] : (? [X1 : $int] : (? [X2 : $int] : ((? [X3 : $int,X4 : $int] : (((fact1(X0) != X4 & 0 = X3) | (? [X5 : $int] : (? [X6 : $int] : ((~$less(X6,X3) | $less(X3,0) | fact1(X0) != $product(X5,fact1(X6)) | $less(X6,0)) & $sum(X3,$uminus(1)) = X6) & $product(X4,X3) = X5) & 0 != X3)) & (fact1(X0) = $product(X4,fact1(X3)) & ~$less(X3,0))) | fact1(X0) != $product(X1,fact1(X2)) | $less(X2,0)) & X0 = X2) & 1 = X1) & ~$less(X0,0))),
% 11.91/2.15 inference(ennf_transformation,[],[f55])).
% 11.91/2.15
% 11.91/2.15 tff(f68,plain,(
% 11.91/2.15 ? [X0 : $int] : (? [X1 : $int] : (? [X2 : $int] : ((? [X3 : $int,X4 : $int] : (((fact1(X0) != X4 & 0 = X3) | (? [X5 : $int] : (? [X6 : $int] : ((~$less(X6,X3) | $less(X3,0) | fact1(X0) != $product(X5,fact1(X6)) | $less(X6,0)) & $sum(X3,$uminus(1)) = X6) & $product(X4,X3) = X5) & 0 != X3)) & fact1(X0) = $product(X4,fact1(X3)) & ~$less(X3,0)) | fact1(X0) != $product(X1,fact1(X2)) | $less(X2,0)) & X0 = X2) & 1 = X1) & ~$less(X0,0))),
% 11.91/2.15 inference(flattening,[],[f67])).
% 11.91/2.15
% 11.91/2.15 tff(f69,plain,(
% 11.91/2.15 ! [X4 : $int,X0 : $int,X3 : $int] : ((fact1(X0) != X4 & 0 = X3) | (? [X5 : $int] : (? [X6 : $int] : ((~$less(X6,X3) | $less(X3,0) | fact1(X0) != $product(X5,fact1(X6)) | $less(X6,0)) & $sum(X3,$uminus(1)) = X6) & $product(X4,X3) = X5) & 0 != X3) | ~sP0(X4,X0,X3))),
% 11.91/2.15 introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])])).
% 11.91/2.15
% 11.91/2.15 tff(f70,plain,(
% 11.91/2.15 ? [X0 : $int] : (? [X1 : $int] : (? [X2 : $int] : ((? [X3 : $int,X4 : $int] : (sP0(X4,X0,X3) & fact1(X0) = $product(X4,fact1(X3)) & ~$less(X3,0)) | fact1(X0) != $product(X1,fact1(X2)) | $less(X2,0)) & X0 = X2) & 1 = X1) & ~$less(X0,0))),
% 11.91/2.15 inference(definition_folding,[],[f68,f69])).
% 11.91/2.15
% 11.91/2.15 tff(f73,plain,(
% 11.91/2.15 ! [X4 : $int,X0 : $int,X3 : $int] : ((fact1(X0) != X4 & 0 = X3) | (? [X5 : $int] : (? [X6 : $int] : ((~$less(X6,X3) | $less(X3,0) | fact1(X0) != $product(X5,fact1(X6)) | $less(X6,0)) & $sum(X3,$uminus(1)) = X6) & $product(X4,X3) = X5) & 0 != X3) | ~sP0(X4,X0,X3))),
% 11.91/2.15 inference(nnf_transformation,[],[f69])).
% 11.91/2.15
% 11.91/2.15 tff(f74,plain,(
% 11.91/2.15 ! [X0 : $int,X1 : $int,X2 : $int] : ((fact1(X1) != X0 & 0 = X2) | (? [X3 : $int] : (? [X4 : $int] : ((~$less(X4,X2) | $less(X2,0) | fact1(X1) != $product(X3,fact1(X4)) | $less(X4,0)) & $sum(X2,$uminus(1)) = X4) & $product(X0,X2) = X3) & 0 != X2) | ~sP0(X0,X1,X2))),
% 11.91/2.15 inference(rectify,[],[f73])).
% 11.91/2.15
% 11.91/2.15 tff(f75,plain,(
% 11.91/2.15 ! [X0 : $int,X1 : $int,X2 : $int] : (? [X3 : $int] : (? [X4 : $int] : ((~$less(X4,X2) | $less(X2,0) | fact1(X1) != $product(X3,fact1(X4)) | $less(X4,0)) & $sum(X2,$uminus(1)) = X4) & $product(X0,X2) = X3) => (? [X4 : $int] : ((~$less(X4,X2) | $less(X2,0) | fact1(X1) != $product(sK2(X0,X1,X2),fact1(X4)) | $less(X4,0)) & $sum(X2,$uminus(1)) = X4) & $product(X0,X2) = sK2(X0,X1,X2)))),
% 11.91/2.15 introduced(choice_axiom,[])).
% 11.91/2.15
% 11.91/2.15 tff(f76,plain,(
% 11.91/2.15 ! [X0 : $int,X1 : $int,X2 : $int] : (? [X4 : $int] : ((~$less(X4,X2) | $less(X2,0) | fact1(X1) != $product(sK2(X0,X1,X2),fact1(X4)) | $less(X4,0)) & $sum(X2,$uminus(1)) = X4) => ((~$less(sK3(X0,X1,X2),X2) | $less(X2,0) | fact1(X1) != $product(sK2(X0,X1,X2),fact1(sK3(X0,X1,X2))) | $less(sK3(X0,X1,X2),0)) & $sum(X2,$uminus(1)) = sK3(X0,X1,X2)))),
% 11.91/2.15 introduced(choice_axiom,[])).
% 11.91/2.15
% 11.91/2.15 tff(f77,plain,(
% 11.91/2.15 ! [X0 : $int,X1 : $int,X2 : $int] : ((fact1(X1) != X0 & 0 = X2) | ((((~$less(sK3(X0,X1,X2),X2) | $less(X2,0) | fact1(X1) != $product(sK2(X0,X1,X2),fact1(sK3(X0,X1,X2))) | $less(sK3(X0,X1,X2),0)) & $sum(X2,$uminus(1)) = sK3(X0,X1,X2)) & $product(X0,X2) = sK2(X0,X1,X2)) & 0 != X2) | ~sP0(X0,X1,X2))),
% 11.91/2.15 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f74,f76,f75])).
% 11.91/2.15
% 11.91/2.15 tff(f78,plain,(
% 11.91/2.15 ? [X0 : $int] : (? [X1 : $int] : (? [X2 : $int] : ((? [X3 : $int,X4 : $int] : (sP0(X4,X0,X3) & fact1(X0) = $product(X4,fact1(X3)) & ~$less(X3,0)) | fact1(X0) != $product(X1,fact1(X2)) | $less(X2,0)) & X0 = X2) & 1 = X1) & ~$less(X0,0)) => (? [X1 : $int] : (? [X2 : $int] : ((? [X4 : $int,X3 : $int] : (sP0(X4,sK4,X3) & $product(X4,fact1(X3)) = fact1(sK4) & ~$less(X3,0)) | $product(X1,fact1(X2)) != fact1(sK4) | $less(X2,0)) & sK4 = X2) & 1 = X1) & ~$less(sK4,0))),
% 11.91/2.15 introduced(choice_axiom,[])).
% 11.91/2.15
% 11.91/2.15 tff(f79,plain,(
% 11.91/2.15 ? [X1 : $int] : (? [X2 : $int] : ((? [X4 : $int,X3 : $int] : (sP0(X4,sK4,X3) & $product(X4,fact1(X3)) = fact1(sK4) & ~$less(X3,0)) | $product(X1,fact1(X2)) != fact1(sK4) | $less(X2,0)) & sK4 = X2) & 1 = X1) => (? [X2 : $int] : ((? [X4 : $int,X3 : $int] : (sP0(X4,sK4,X3) & $product(X4,fact1(X3)) = fact1(sK4) & ~$less(X3,0)) | fact1(sK4) != $product(sK5,fact1(X2)) | $less(X2,0)) & sK4 = X2) & 1 = sK5)),
% 11.91/2.15 introduced(choice_axiom,[])).
% 11.91/2.15
% 11.91/2.15 tff(f80,plain,(
% 11.91/2.15 ? [X2 : $int] : ((? [X4 : $int,X3 : $int] : (sP0(X4,sK4,X3) & $product(X4,fact1(X3)) = fact1(sK4) & ~$less(X3,0)) | fact1(sK4) != $product(sK5,fact1(X2)) | $less(X2,0)) & sK4 = X2) => ((? [X4 : $int,X3 : $int] : (sP0(X4,sK4,X3) & $product(X4,fact1(X3)) = fact1(sK4) & ~$less(X3,0)) | fact1(sK4) != $product(sK5,fact1(sK6)) | $less(sK6,0)) & sK4 = sK6)),
% 11.91/2.15 introduced(choice_axiom,[])).
% 11.91/2.15
% 11.91/2.15 tff(f81,plain,(
% 11.91/2.15 ? [X4 : $int,X3 : $int] : (sP0(X4,sK4,X3) & $product(X4,fact1(X3)) = fact1(sK4) & ~$less(X3,0)) => (sP0(sK8,sK4,sK7) & fact1(sK4) = $product(sK8,fact1(sK7)) & ~$less(sK7,0))),
% 11.91/2.15 introduced(choice_axiom,[])).
% 11.91/2.15
% 11.91/2.15 tff(f82,plain,(
% 11.91/2.15 ((((sP0(sK8,sK4,sK7) & fact1(sK4) = $product(sK8,fact1(sK7)) & ~$less(sK7,0)) | fact1(sK4) != $product(sK5,fact1(sK6)) | $less(sK6,0)) & sK4 = sK6) & 1 = sK5) & ~$less(sK4,0)),
% 11.91/2.15 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8])],[f70,f81,f80,f79,f78])).
% 11.91/2.15
% 11.91/2.15 tff(f100,plain,(
% 11.91/2.15 1 = fact1(0)),
% 11.91/2.15 inference(cnf_transformation,[],[f17])).
% 11.91/2.15
% 11.91/2.15 tff(f101,plain,(
% 11.91/2.15 ( ! [X0 : $int] : (fact1(X0) = $product(X0,fact1($sum(X0,$uminus(1)))) | ~$less(0,X0)) )),
% 11.91/2.15 inference(cnf_transformation,[],[f66])).
% 11.91/2.15
% 11.91/2.15 tff(f103,plain,(
% 11.91/2.15 ( ! [X2 : $int,X0 : $int,X1 : $int] : (0 = X2 | $product(X0,X2) = sK2(X0,X1,X2) | ~sP0(X0,X1,X2)) )),
% 11.91/2.15 inference(cnf_transformation,[],[f77])).
% 11.91/2.15
% 11.91/2.15 tff(f104,plain,(
% 11.91/2.15 ( ! [X2 : $int,X0 : $int,X1 : $int] : (0 = X2 | $sum(X2,$uminus(1)) = sK3(X0,X1,X2) | ~sP0(X0,X1,X2)) )),
% 11.91/2.15 inference(cnf_transformation,[],[f77])).
% 11.91/2.15
% 11.91/2.15 tff(f105,plain,(
% 11.91/2.15 ( ! [X2 : $int,X0 : $int,X1 : $int] : (0 = X2 | ~$less(sK3(X0,X1,X2),X2) | $less(X2,0) | fact1(X1) != $product(sK2(X0,X1,X2),fact1(sK3(X0,X1,X2))) | $less(sK3(X0,X1,X2),0) | ~sP0(X0,X1,X2)) )),
% 11.91/2.15 inference(cnf_transformation,[],[f77])).
% 11.91/2.15
% 11.91/2.15 tff(f106,plain,(
% 11.91/2.15 ( ! [X2 : $int,X0 : $int,X1 : $int] : (fact1(X1) != X0 | 0 != X2 | ~sP0(X0,X1,X2)) )),
% 11.91/2.15 inference(cnf_transformation,[],[f77])).
% 11.91/2.15
% 11.91/2.15 tff(f110,plain,(
% 11.91/2.15 ~$less(sK4,0)),
% 11.91/2.15 inference(cnf_transformation,[],[f82])).
% 11.91/2.15
% 11.91/2.15 tff(f111,plain,(
% 11.91/2.15 1 = sK5),
% 11.91/2.15 inference(cnf_transformation,[],[f82])).
% 11.91/2.15
% 11.91/2.15 tff(f112,plain,(
% 11.91/2.15 sK4 = sK6),
% 11.91/2.15 inference(cnf_transformation,[],[f82])).
% 11.91/2.15
% 11.91/2.15 tff(f113,plain,(
% 11.91/2.15 ~$less(sK7,0) | fact1(sK4) != $product(sK5,fact1(sK6)) | $less(sK6,0)),
% 11.91/2.15 inference(cnf_transformation,[],[f82])).
% 11.91/2.15
% 11.91/2.15 tff(f114,plain,(
% 11.91/2.15 fact1(sK4) = $product(sK8,fact1(sK7)) | fact1(sK4) != $product(sK5,fact1(sK6)) | $less(sK6,0)),
% 11.91/2.15 inference(cnf_transformation,[],[f82])).
% 11.91/2.15
% 11.91/2.15 tff(f115,plain,(
% 11.91/2.15 sP0(sK8,sK4,sK7) | fact1(sK4) != $product(sK5,fact1(sK6)) | $less(sK6,0)),
% 11.91/2.15 inference(cnf_transformation,[],[f82])).
% 11.91/2.15
% 11.91/2.15 tff(f116,plain,(
% 11.91/2.15 sP0(sK8,sK6,sK7) | fact1(sK6) != $product(1,fact1(sK6)) | $less(sK6,0)),
% 11.91/2.15 inference(definition_unfolding,[],[f115,f112,f112,f111])).
% 11.91/2.15
% 11.91/2.15 tff(f117,plain,(
% 11.91/2.15 fact1(sK6) = $product(sK8,fact1(sK7)) | fact1(sK6) != $product(1,fact1(sK6)) | $less(sK6,0)),
% 11.91/2.15 inference(definition_unfolding,[],[f114,f112,f112,f111])).
% 11.91/2.15
% 11.91/2.15 tff(f118,plain,(
% 11.91/2.15 ~$less(sK7,0) | fact1(sK6) != $product(1,fact1(sK6)) | $less(sK6,0)),
% 11.91/2.15 inference(definition_unfolding,[],[f113,f112,f111])).
% 11.91/2.15
% 11.91/2.15 tff(f119,plain,(
% 11.91/2.15 ~$less(sK6,0)),
% 11.91/2.15 inference(definition_unfolding,[],[f110,f112])).
% 11.91/2.15
% 11.91/2.15 tff(f124,plain,(
% 11.91/2.15 ( ! [X2 : $int,X1 : $int] : (0 != X2 | ~sP0(fact1(X1),X1,X2)) )),
% 11.91/2.15 inference(equality_resolution,[],[f106])).
% 11.91/2.15
% 11.91/2.15 tff(f125,plain,(
% 11.91/2.15 ( ! [X1 : $int] : (~sP0(fact1(X1),X1,0)) )),
% 11.91/2.15 inference(equality_resolution,[],[f124])).
% 11.91/2.15
% 11.91/2.15 cnf(c_51,plain,
% 11.91/2.15 ($sum_int($product_int(X0_3,X1_3),$product_int(X0_3,X2_3)) = $product_int(X0_3,$sum_int(X1_3,X2_3))),
% 11.91/2.15 inference(cnf_transformation,[],[f39])).
% 11.91/2.15
% 11.91/2.15 cnf(c_53,plain,
% 11.91/2.15 ($product_int(X0_3,1) = X0_3),
% 11.91/2.15 inference(cnf_transformation,[],[f37])).
% 11.91/2.15
% 11.91/2.15 cnf(c_54,plain,
% 11.91/2.15 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 11.91/2.15 inference(cnf_transformation,[],[f36])).
% 11.91/2.15
% 11.91/2.15 cnf(c_55,plain,
% 11.91/2.15 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 11.91/2.15 inference(cnf_transformation,[],[f35])).
% 11.91/2.15
% 11.91/2.15 cnf(c_59,plain,
% 11.91/2.15 (X0_3 = X1_3|$less_int(X0_3,X1_3)|$less_int(X1_3,X0_3)),
% 11.91/2.15 inference(cnf_transformation,[],[f31])).
% 11.91/2.15
% 11.91/2.15 cnf(c_60,plain,
% 11.91/2.15 (~$less_int(X0_3,X1_3)|~$less_int(X1_3,X2_3)|$less_int(X0_3,X2_3)),
% 11.91/2.15 inference(cnf_transformation,[],[f30])).
% 11.91/2.15
% 11.91/2.15 cnf(c_63,plain,
% 11.91/2.15 ($sum_int($uminus_int(X0_3),$uminus_int(X1_3)) = $uminus_int($sum_int(X1_3,X0_3))),
% 11.91/2.15 inference(cnf_transformation,[],[f27])).
% 11.91/2.15
% 11.91/2.15 cnf(c_65,plain,
% 11.91/2.15 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 11.91/2.15 inference(cnf_transformation,[],[f25])).
% 11.91/2.15
% 11.91/2.15 cnf(c_66,plain,
% 11.91/2.15 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 11.91/2.15 inference(cnf_transformation,[],[f24])).
% 11.91/2.15
% 11.91/2.15 cnf(c_84,plain,(fact1(0) = 1),inference(cnf_transformation,[],[f100])).
% 11.91/2.15
% 11.91/2.15 cnf(c_85,plain,
% 11.91/2.15 (~$less_int(0,X0_3)|$product_int(X0_3,fact1($sum_int(X0_3,$uminus_int(1)))) = fact1(X0_3)),
% 11.91/2.15 inference(cnf_transformation,[],[f101])).
% 11.91/2.15
% 11.91/2.15 cnf(c_89,negated_conjecture,
% 11.91/2.15 (~sP0(fact1(X0_3),X0_3,0)),
% 11.91/2.15 inference(cnf_transformation,[],[f125])).
% 11.91/2.15
% 11.91/2.15 cnf(c_90,plain,
% 11.91/2.15 ($product_int(sK2(X0_3,X1_3,X2_3),fact1(sK3(X0_3,X1_3,X2_3))) != fact1(X1_3)|
% 11.91/2.15 ~$less_int(sK3(X0_3,X1_3,X2_3),X2_3)|~sP0(X0_3,X1_3,X2_3)|X2_3 = 0|
% 11.91/2.15 $less_int(sK3(X0_3,X1_3,X2_3),0)|$less_int(X2_3,0)),
% 11.91/2.15 inference(cnf_transformation,[],[f105])).
% 11.91/2.15
% 11.91/2.15 cnf(c_91,plain,
% 11.91/2.15 (~sP0(X0_3,X1_3,X2_3)|sK3(X0_3,X1_3,X2_3) = $sum_int(X2_3,$uminus_int(1))|
% 11.91/2.15 X2_3 = 0),
% 11.91/2.15 inference(cnf_transformation,[],[f104])).
% 11.91/2.15
% 11.91/2.15 cnf(c_92,plain,
% 11.91/2.15 (~sP0(X0_3,X1_3,X2_3)|sK2(X0_3,X1_3,X2_3) = $product_int(X0_3,X2_3)|
% 11.91/2.15 X2_3 = 0),
% 11.91/2.15 inference(cnf_transformation,[],[f103])).
% 11.91/2.15
% 11.91/2.15 cnf(c_93,negated_conjecture,
% 11.91/2.15 ($product_int(1,fact1(sK6)) != fact1(sK6)|sP0(sK8,sK6,sK7)|$less_int(sK6,0)),
% 11.91/2.15 inference(cnf_transformation,[],[f116])).
% 11.91/2.15
% 11.91/2.15 cnf(c_94,negated_conjecture,
% 11.91/2.15 ($product_int(1,fact1(sK6)) != fact1(sK6)|$product_int(sK8,fact1(sK7)) = fact1(sK6)|
% 11.91/2.15 $less_int(sK6,0)),
% 11.91/2.15 inference(cnf_transformation,[],[f117])).
% 11.91/2.15
% 11.91/2.15 cnf(c_95,negated_conjecture,
% 11.91/2.15 ($product_int(1,fact1(sK6)) != fact1(sK6)|~$less_int(sK7,0)|$less_int(sK6,0)),
% 11.91/2.15 inference(cnf_transformation,[],[f118])).
% 11.91/2.15
% 11.91/2.15 cnf(c_96,negated_conjecture,
% 11.91/2.15 (~$less_int(sK6,0)),
% 11.91/2.15 inference(cnf_transformation,[],[f119])).
% 11.91/2.15
% 11.91/2.15 cnf(c_97,plain,($less_int(0,1)),theory(arith)).
% 11.91/2.15
% 11.91/2.15 cnf(c_98,plain,($less_int(1,2)),theory(arith)).
% 11.91/2.15
% 11.91/2.15 cnf(c_132,plain,
% 11.91/2.15 (~$less_int(sK7,0)|$product_int(1,fact1(sK6)) != fact1(sK6)),
% 11.91/2.15 inference(global_subsumption_just,[status(thm)],[c_95,c_96,c_95])).
% 11.91/2.15
% 11.91/2.15 cnf(c_133,negated_conjecture,
% 11.91/2.15 ($product_int(1,fact1(sK6)) != fact1(sK6)|~$less_int(sK7,0)),
% 11.91/2.15 inference(renaming,[status(thm)],[c_132])).
% 11.91/2.15
% 11.91/2.15 cnf(c_134,plain,
% 11.91/2.15 (sP0(sK8,sK6,sK7)|$product_int(1,fact1(sK6)) != fact1(sK6)),
% 11.91/2.15 inference(global_subsumption_just,[status(thm)],[c_93,c_96,c_93])).
% 11.91/2.15
% 11.91/2.15 cnf(c_135,negated_conjecture,
% 11.91/2.15 ($product_int(1,fact1(sK6)) != fact1(sK6)|sP0(sK8,sK6,sK7)),
% 11.91/2.15 inference(renaming,[status(thm)],[c_134])).
% 11.91/2.15
% 11.91/2.15 cnf(c_136,plain,
% 11.91/2.15 ($product_int(sK8,fact1(sK7)) = fact1(sK6)|$product_int(1,fact1(sK6)) != fact1(sK6)),
% 11.91/2.15 inference(global_subsumption_just,[status(thm)],[c_94,c_96,c_94])).
% 11.91/2.15
% 11.91/2.15 cnf(c_137,negated_conjecture,
% 11.91/2.15 ($product_int(1,fact1(sK6)) != fact1(sK6)|$product_int(sK8,fact1(sK7)) = fact1(sK6)),
% 11.91/2.15 inference(renaming,[status(thm)],[c_136])).
% 11.91/2.15
% 11.91/2.15 cnf(c_140,plain,
% 11.91/2.15 ($product_int(fact1(sK3(X0_3,X1_3,X2_3)),sK2(X0_3,X1_3,X2_3)) != fact1(X1_3)|
% 11.91/2.15 ~$less_int(sK3(X0_3,X1_3,X2_3),X2_3)|~sP0(X0_3,X1_3,X2_3)|X2_3 = 0|
% 11.91/2.15 $less_int(sK3(X0_3,X1_3,X2_3),0)|$less_int(X2_3,0)),
% 11.91/2.15 inference(theory_normalisation,[status(thm)],[c_90,c_54,c_55,c_65,c_66])).
% 11.91/2.15
% 11.91/2.15 cnf(c_141,negated_conjecture,
% 11.91/2.15 ($product_int(fact1(sK6),1) != fact1(sK6)|~$less_int(sK7,0)),
% 11.91/2.15 inference(theory_normalisation,[status(thm)],[c_133,c_54,c_55,c_65,c_66])).
% 11.91/2.15
% 11.91/2.15 cnf(c_142,negated_conjecture,
% 11.91/2.15 ($product_int(fact1(sK6),1) != fact1(sK6)|sP0(sK8,sK6,sK7)),
% 11.91/2.15 inference(theory_normalisation,[status(thm)],[c_135,c_54,c_55,c_65,c_66])).
% 11.91/2.15
% 11.91/2.15 cnf(c_143,negated_conjecture,
% 11.91/2.15 ($product_int(fact1(sK6),1) != fact1(sK6)|$product_int(fact1(sK7),sK8) = fact1(sK6)),
% 11.91/2.15 inference(theory_normalisation,[status(thm)],[c_137,c_54,c_55,c_65,c_66])).
% 11.91/2.15
% 11.91/2.15 cnf(c_164,plain,
% 11.91/2.15 (~$less_int(0,X0_3)|$product_int(X0_3,fact1($sum_int(X0_3,$uminus_int(1)))) = fact1(X0_3)),
% 11.91/2.15 inference(prop_impl_just,[status(thm)],[c_85])).
% 11.91/2.15
% 11.91/2.15 cnf(c_170,plain,
% 11.91/2.15 (~$less_int(sK7,0)|$product_int(fact1(sK6),1) != fact1(sK6)),
% 11.91/2.15 inference(prop_impl_just,[status(thm)],[c_141])).
% 11.91/2.15
% 11.91/2.15 cnf(c_171,plain,
% 11.91/2.15 ($product_int(fact1(sK6),1) != fact1(sK6)|~$less_int(sK7,0)),
% 11.91/2.15 inference(renaming,[status(thm)],[c_170])).
% 11.91/2.15
% 11.91/2.15 cnf(c_190,plain,
% 11.91/2.15 (sP0(sK8,sK6,sK7)|$product_int(fact1(sK6),1) != fact1(sK6)),
% 11.91/2.15 inference(prop_impl_just,[status(thm)],[c_142])).
% 11.91/2.15
% 11.91/2.15 cnf(c_191,plain,
% 11.91/2.15 ($product_int(fact1(sK6),1) != fact1(sK6)|sP0(sK8,sK6,sK7)),
% 11.91/2.15 inference(renaming,[status(thm)],[c_190])).
% 11.91/2.15
% 11.91/2.15 cnf(c_200,plain,
% 11.91/2.15 ($product_int(fact1(sK6),1) != fact1(sK6)|$product_int(fact1(sK7),sK8) = fact1(sK6)),
% 11.91/2.15 inference(prop_impl_just,[status(thm)],[c_143])).
% 11.91/2.15
% 11.91/2.15 cnf(c_303,plain,
% 11.91/2.15 (~$less_int(sK7,0)),
% 11.91/2.15 inference(backward_subsumption_resolution,[status(thm)],[c_171,c_53])).
% 11.91/2.15
% 11.91/2.15 cnf(c_304,plain,
% 11.91/2.15 (sP0(sK8,sK6,sK7)),
% 11.91/2.15 inference(backward_subsumption_resolution,[status(thm)],[c_191,c_53])).
% 11.91/2.15
% 11.91/2.15 cnf(c_305,plain,
% 11.91/2.15 ($product_int(fact1(sK7),sK8) = fact1(sK6)),
% 11.91/2.15 inference(backward_subsumption_resolution,[status(thm)],[c_200,c_53])).
% 11.91/2.15
% 11.91/2.15 cnf(c_405,plain,
% 11.91/2.15 ($product_int(fact1(sK3(X0_3,X1_3,X2_3)),sK2(X0_3,X1_3,X2_3)) != fact1(X1_3)|
% 11.91/2.15 ~$less_int(sK3(X0_3,X1_3,X2_3),X2_3)|~sP0(X0_3,X1_3,X2_3)|X2_3 = 0|
% 11.91/2.15 $less_int(sK3(X0_3,X1_3,X2_3),0)),
% 11.91/2.15 inference(backward_subsumption_resolution,[status(thm)],[c_140,c_60])).
% 11.91/2.15
% 11.91/2.15 cnf(c_457,plain,
% 11.91/2.15 ($less_int(0,fact1(0))),
% 11.91/2.15 inference(demodulation,[status(thm)],[c_97,c_84])).
% 11.91/2.15
% 11.91/2.15 cnf(c_458,plain,
% 11.91/2.15 ($less_int(fact1(0),2)),
% 11.91/2.15 inference(demodulation,[status(thm)],[c_98,c_84])).
% 11.91/2.15
% 11.91/2.15 cnf(c_459,plain,
% 11.91/2.15 ($product_int(X0_3,fact1(0)) = X0_3),
% 11.91/2.15 inference(light_normalisation,[status(thm)],[c_53,c_84])).
% 11.91/2.15
% 11.91/2.15 cnf(c_528,plain,
% 11.91/2.15 (~$less_int(0,X0_3)|$product_int(X0_3,fact1($sum_int(-1,X0_3))) = fact1(X0_3)),
% 11.91/2.15 inference(smt_theory_normalisation,[status(thm)],[c_164])).
% 11.91/2.15
% 11.91/2.15 cnf(c_554,plain,
% 11.91/2.15 (~sP0(X0_3,X1_3,X2_3)|sK3(X0_3,X1_3,X2_3) = $sum_int(-1,X2_3)|X2_3 = 0),
% 11.91/2.15 inference(smt_theory_normalisation,[status(thm)],[c_91])).
% 11.91/2.15
% 11.91/2.15 cnf(c_635,plain,
% 11.91/2.15 (fact1(X0_3) != sK8|X0_3 != sK6|sK7 != 0),
% 11.91/2.15 inference(resolution_lifted,[status(thm)],[c_89,c_304])).
% 11.91/2.15
% 11.91/2.15 cnf(c_636,plain,
% 11.91/2.15 (fact1(sK6) != sK8|sK7 != 0),
% 11.91/2.15 inference(unflattening,[status(thm)],[c_635])).
% 11.91/2.15
% 11.91/2.15 cnf(c_643,plain,
% 11.91/2.15 (X0_3 != sK8|X1_3 != sK6|X2_3 != sK7|sK3(X0_3,X1_3,X2_3) = $sum_int(-1,X2_3)|
% 11.91/2.15 X2_3 = 0),
% 11.91/2.15 inference(resolution_lifted,[status(thm)],[c_554,c_304])).
% 11.91/2.15
% 11.91/2.15 cnf(c_644,plain,
% 11.91/2.15 (sK3(sK8,sK6,sK7) = $sum_int(-1,sK7)|sK7 = 0),
% 11.91/2.15 inference(unflattening,[status(thm)],[c_643])).
% 11.91/2.15
% 11.91/2.15 cnf(c_651,plain,
% 11.91/2.15 ($product_int(fact1(sK3(X0_3,X1_3,X2_3)),sK2(X0_3,X1_3,X2_3)) != fact1(X1_3)|
% 11.91/2.15 X0_3 != sK8|X1_3 != sK6|X2_3 != sK7|~$less_int(sK3(X0_3,X1_3,X2_3),X2_3)|
% 11.91/2.15 X2_3 = 0|$less_int(sK3(X0_3,X1_3,X2_3),0)),
% 11.91/2.15 inference(resolution_lifted,[status(thm)],[c_405,c_304])).
% 11.91/2.15
% 11.91/2.15 cnf(c_652,plain,
% 11.91/2.15 ($product_int(fact1(sK3(sK8,sK6,sK7)),sK2(sK8,sK6,sK7)) != fact1(sK6)|
% 11.91/2.15 ~$less_int(sK3(sK8,sK6,sK7),sK7)|sK7 = 0|$less_int(sK3(sK8,sK6,sK7),0)),
% 11.91/2.15 inference(unflattening,[status(thm)],[c_651])).
% 11.91/2.15
% 11.91/2.15 cnf(c_665,plain,
% 11.91/2.15 (X0_3 != sK8|X1_3 != sK6|X2_3 != sK7|sK2(X0_3,X1_3,X2_3) = $product_int(X0_3,X2_3)|
% 11.91/2.15 X2_3 = 0),
% 11.91/2.15 inference(resolution_lifted,[status(thm)],[c_92,c_304])).
% 11.91/2.15
% 11.91/2.15 cnf(c_666,plain,
% 11.91/2.15 (sK2(sK8,sK6,sK7) = $product_int(sK8,sK7)|sK7 = 0),
% 11.91/2.15 inference(unflattening,[status(thm)],[c_665])).
% 11.91/2.15
% 11.91/2.15 cnf(c_692,plain,
% 11.91/2.15 (sK3(sK8,sK6,sK7) = $sum_int(sK7,-1)|sK7 = 0),
% 11.91/2.15 inference(theory_normalisation,[status(thm)],[c_644,c_54,c_55,c_65,c_66])).
% 11.91/2.15
% 11.91/2.15 cnf(c_693,plain,
% 11.91/2.15 (sK2(sK8,sK6,sK7) = $product_int(sK7,sK8)|sK7 = 0),
% 11.91/2.15 inference(theory_normalisation,[status(thm)],[c_666,c_54,c_55,c_65,c_66])).
% 11.91/2.15
% 11.91/2.15 cnf(c_702,plain,
% 11.91/2.15 (~$less_int(0,X0_3)|$product_int(X0_3,fact1($sum_int(-1,X0_3))) = fact1(X0_3)),
% 11.91/2.15 inference(prop_impl_just,[status(thm)],[c_528])).
% 11.91/2.15
% 11.91/2.15 cnf(c_716,plain,
% 11.91/2.15 (fact1(sK6) != sK8|sK7 != 0),
% 11.91/2.15 inference(prop_impl_just,[status(thm)],[c_636])).
% 11.91/2.15
% 11.91/2.15 cnf(c_724,plain,
% 11.91/2.15 (sK7 = 0|sK3(sK8,sK6,sK7) = $sum_int(sK7,-1)),
% 11.91/2.15 inference(prop_impl_just,[status(thm)],[c_692])).
% 11.91/2.15
% 11.91/2.15 cnf(c_725,plain,
% 11.91/2.15 (sK3(sK8,sK6,sK7) = $sum_int(sK7,-1)|sK7 = 0),
% 11.91/2.15 inference(renaming,[status(thm)],[c_724])).
% 11.91/2.15
% 11.91/2.15 cnf(c_726,plain,
% 11.91/2.15 (sK7 = 0|sK2(sK8,sK6,sK7) = $product_int(sK7,sK8)),
% 11.91/2.15 inference(prop_impl_just,[status(thm)],[c_693])).
% 11.91/2.15
% 11.91/2.15 cnf(c_727,plain,
% 11.91/2.15 (sK2(sK8,sK6,sK7) = $product_int(sK7,sK8)|sK7 = 0),
% 11.91/2.15 inference(renaming,[status(thm)],[c_726])).
% 11.91/2.15
% 11.91/2.15 cnf(c_1712,plain,
% 11.91/2.15 ($sum_int(X0_3,$sum_int(X1_3,X2_3)) = $sum_int(X1_3,$sum_int(X0_3,X2_3))),
% 11.91/2.15 inference(superposition,[status(thm)],[c_65,c_66])).
% 11.91/2.15
% 11.91/2.15 cnf(c_2299,plain,
% 11.91/2.15 ($sum_int($product_int(fact1(sK7),X0_3),fact1(sK6)) = $product_int(fact1(sK7),$sum_int(X0_3,sK8))),
% 11.91/2.15 inference(superposition,[status(thm)],[c_305,c_51])).
% 11.91/2.15
% 11.91/2.15 cnf(c_2336,plain,
% 11.91/2.15 ($product_int(fact1(sK3(sK8,sK6,sK7)),$product_int(sK7,sK8)) != fact1(sK6)|
% 11.91/2.15 ~$less_int(sK3(sK8,sK6,sK7),sK7)|sK7 = 0|$less_int(sK3(sK8,sK6,sK7),0)),
% 11.91/2.15 inference(superposition,[status(thm)],[c_727,c_652])).
% 11.91/2.15
% 11.91/2.15 cnf(c_2386,plain,
% 11.91/2.15 ($sum_int(fact1(sK6),$product_int(fact1(sK7),X0_3)) = $product_int(fact1(sK7),$sum_int(X0_3,sK8))),
% 11.91/2.15 inference(theory_normalisation,
% 11.91/2.15 [status(thm)],
% 11.91/2.15 [c_2299,c_65,c_66,c_54,c_55])).
% 11.91/2.15
% 11.91/2.15 cnf(c_2429,plain,
% 11.91/2.15 ($product_int(sK7,$product_int(sK8,fact1(sK3(sK8,sK6,sK7)))) != fact1(sK6)|
% 11.91/2.15 ~$less_int(sK3(sK8,sK6,sK7),sK7)|sK7 = 0|$less_int(sK3(sK8,sK6,sK7),0)),
% 11.91/2.15 inference(theory_normalisation,
% 11.91/2.15 [status(thm)],
% 11.91/2.15 [c_2336,c_65,c_66,c_54,c_55])).
% 11.91/2.15
% 11.91/2.15 cnf(c_2581,plain,
% 11.91/2.15 ($sum_int($uminus_int(-1),$uminus_int(sK7)) = $uminus_int(sK3(sK8,sK6,sK7))|
% 11.91/2.15 sK7 = 0),
% 11.91/2.15 inference(superposition,[status(thm)],[c_725,c_63])).
% 11.91/2.15
% 11.91/2.15 cnf(c_2602,plain,
% 11.91/2.15 ($sum_int($uminus_int(sK7),$uminus_int(-1)) = $uminus_int(sK3(sK8,sK6,sK7))|
% 11.91/2.15 sK7 = 0),
% 11.91/2.15 inference(theory_normalisation,
% 11.91/2.15 [status(thm)],
% 11.91/2.15 [c_2581,c_65,c_66,c_54,c_55])).
% 11.91/2.15
% 11.91/2.15 cnf(c_2688,plain,
% 11.91/2.15 (sK7 = 0|$less_int(0,sK7)),
% 11.91/2.15 inference(superposition,[status(thm)],[c_59,c_303])).
% 11.91/2.15
% 11.91/2.15 cnf(c_4339,plain,
% 11.91/2.15 ($product_int(X0_3,$sum_int(X1_3,fact1(0))) = $sum_int($product_int(X0_3,X1_3),X0_3)),
% 11.91/2.15 inference(superposition,[status(thm)],[c_459,c_51])).
% 11.91/2.15
% 11.91/2.15 cnf(c_4350,plain,
% 11.91/2.15 ($product_int(X0_3,$sum_int(X1_3,fact1(0))) = $sum_int(X0_3,$product_int(X0_3,X1_3))),
% 11.91/2.15 inference(theory_normalisation,
% 11.91/2.15 [status(thm)],
% 11.91/2.15 [c_4339,c_65,c_66,c_54,c_55])).
% 11.91/2.15
% 11.91/2.15 cnf(c_4378,plain,
% 11.91/2.15 ($sum_int($uminus_int(sK7),$sum_int(X0_3,$uminus_int(-1))) = $sum_int(X0_3,$uminus_int(sK3(sK8,sK6,sK7)))|
% 11.91/2.15 sK7 = 0),
% 11.91/2.15 inference(superposition,[status(thm)],[c_2602,c_1712])).
% 11.91/2.15
% 11.91/2.15 cnf(c_5019,plain,
% 11.91/2.15 ($sum_int($uminus_int($product_int(fact1(sK7),X0_3)),$uminus_int(fact1(sK6))) = $uminus_int($product_int(fact1(sK7),$sum_int(X0_3,sK8)))),
% 11.91/2.15 inference(superposition,[status(thm)],[c_2386,c_63])).
% 11.91/2.15
% 11.91/2.15 cnf(c_5051,plain,
% 11.91/2.15 ($sum_int($uminus_int(fact1(sK6)),$uminus_int($product_int(fact1(sK7),X0_3))) = $uminus_int($product_int(fact1(sK7),$sum_int(X0_3,sK8)))),
% 11.91/2.15 inference(theory_normalisation,
% 11.91/2.15 [status(thm)],
% 11.91/2.15 [c_5019,c_65,c_66,c_54,c_55])).
% 11.91/2.15
% 11.91/2.15 cnf(c_5455,plain,
% 11.91/2.15 ($product_int(sK7,fact1($sum_int(-1,sK7))) = fact1(sK7)|sK7 = 0),
% 11.91/2.15 inference(superposition,[status(thm)],[c_2688,c_702])).
% 11.91/2.15
% 11.91/2.15 cnf(c_5486,plain,
% 11.91/2.15 ($product_int(sK7,fact1($sum_int(sK7,-1))) = fact1(sK7)|sK7 = 0),
% 11.91/2.15 inference(theory_normalisation,
% 11.91/2.15 [status(thm)],
% 11.91/2.15 [c_5455,c_65,c_66,c_54,c_55])).
% 11.91/2.15
% 11.91/2.15 cnf(c_5533,plain,
% 11.91/2.15 ($product_int(sK7,fact1(sK3(sK8,sK6,sK7))) = fact1(sK7)|sK7 = 0),
% 11.91/2.15 inference(superposition,[status(thm)],[c_725,c_5486])).
% 11.91/2.15
% 11.91/2.15 cnf(c_5715,plain,
% 11.91/2.15 ($product_int(sK7,$sum_int(X0_3,fact1(sK3(sK8,sK6,sK7)))) = $sum_int($product_int(sK7,X0_3),fact1(sK7))|
% 11.91/2.15 sK7 = 0),
% 11.91/2.15 inference(superposition,[status(thm)],[c_5533,c_51])).
% 11.91/2.15
% 11.91/2.15 cnf(c_5805,plain,
% 11.91/2.15 ($product_int(sK7,$sum_int(X0_3,fact1(sK3(sK8,sK6,sK7)))) = $sum_int(fact1(sK7),$product_int(sK7,X0_3))|
% 11.91/2.15 sK7 = 0),
% 11.91/2.15 inference(theory_normalisation,
% 11.91/2.15 [status(thm)],
% 11.91/2.15 [c_5715,c_65,c_66,c_54,c_55])).
% 11.91/2.15
% 11.91/2.15 cnf(c_6138,plain,
% 11.91/2.15 ($false),
% 11.91/2.15 inference(smt_impl_just,
% 11.91/2.15 [status(thm)],
% 11.91/2.15 [c_5805,c_5051,c_4378,c_4350,c_2688,c_2429,c_716,c_458,
% 11.91/2.15 c_457,c_84])).
% 11.91/2.15
% 11.91/2.15
% 11.91/2.15 % SZS output end CNFRefutation for theBenchmark.p
% 11.91/2.15
% 11.91/2.15
%------------------------------------------------------------------------------