TSTP Solution File: SWW580_2 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWW580_2 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 Sep 1 00:39:50 EDT 2023
% Result : Theorem 45.59s 6.63s
% Output : CNFRefutation 45.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW580_2 : TPTP v8.1.2. Released v6.1.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 20:43:59 EDT 2023
% 0.13/0.35 % 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 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 45.59/6.63 % SZS status Started for theBenchmark.p
% 45.59/6.63 % SZS status Theorem for theBenchmark.p
% 45.59/6.63
% 45.59/6.63 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 45.59/6.63
% 45.59/6.63 ------ iProver source info
% 45.59/6.63
% 45.59/6.63 git: date: 2023-05-31 18:12:56 +0000
% 45.59/6.63 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 45.59/6.63 git: non_committed_changes: false
% 45.59/6.63 git: last_make_outside_of_git: false
% 45.59/6.63
% 45.59/6.63 ------ Parsing...
% 45.59/6.63 ------ Clausification by vclausify_rel & Parsing by iProver...
% 45.59/6.63
% 45.59/6.63 ------ Preprocessing... sf_s rm: 18 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 10 0s sf_e pe_s pe_e
% 45.59/6.63
% 45.59/6.63 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 45.59/6.63
% 45.59/6.63 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 45.59/6.63 ------ Proving...
% 45.59/6.63 ------ Problem Properties
% 45.59/6.63
% 45.59/6.63
% 45.59/6.63 clauses 39
% 45.59/6.63 conjectures 12
% 45.59/6.63 EPR 12
% 45.59/6.63 Horn 32
% 45.59/6.63 unary 25
% 45.59/6.63 binary 9
% 45.59/6.63 lits 58
% 45.59/6.63 lits eq 21
% 45.59/6.63 fd_pure 1
% 45.59/6.63 fd_pseudo 0
% 45.59/6.63 fd_cond 0
% 45.59/6.63 fd_pseudo_cond 2
% 45.59/6.63 AC symbols 2
% 45.59/6.63
% 45.59/6.63 ------ Input Options Time Limit: Unbounded
% 45.59/6.63
% 45.59/6.63
% 45.59/6.63 ------
% 45.59/6.63 Current options:
% 45.59/6.63 ------
% 45.59/6.63
% 45.59/6.63
% 45.59/6.63
% 45.59/6.63
% 45.59/6.63 ------ Proving...
% 45.59/6.63
% 45.59/6.63
% 45.59/6.63 % SZS status Theorem for theBenchmark.p
% 45.59/6.63
% 45.59/6.63 % SZS output start CNFRefutation for theBenchmark.p
% 45.59/6.63
% 45.59/6.63 tff(f15,axiom,(
% 45.59/6.63 ! [X1 : $int,X7 : $int] : ($lesseq(abs(X1),X7) <=> ($lesseq(X1,X7) & $lesseq($uminus(X7),X1)))),
% 45.59/6.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abs_le)).
% 45.59/6.63
% 45.59/6.63 tff(f17,axiom,(
% 45.59/6.63 ! [X1 : $int,X7 : $int] : (best(X1,X7) <=> ! [X8 : $int] : $lesseq(abs($difference($product(x2,X7),$product(X1,y2))),abs($difference($product(x2,X8),$product(X1,y2)))))),
% 45.59/6.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',best_def)).
% 45.59/6.63
% 45.59/6.63 tff(f18,axiom,(
% 45.59/6.63 ! [X0 : $int,X9 : $int,X10 : $int] : ($lesseq(abs($difference($product($product(2,X0),X9),$product(2,X10))),X0) => ! [X11 : $int] : $lesseq(abs($difference($product(X0,X9),X10)),abs($difference($product(X0,X11),X10))))),
% 45.59/6.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closest)).
% 45.59/6.63
% 45.59/6.63 tff(f19,conjecture,(
% 45.59/6.63 $lesseq(0,x2) => ! [X12 : $int,X7 : $int,X1 : $int] : (($lesseq(X1,x2) & $lesseq(0,X1)) => (($lesseq(X12,$product(2,y2)) & $lesseq($product(2,$difference(y2,x2)),X12) & $difference($product($product(2,$sum(X1,1)),y2),$product($sum($product(2,X7),1),x2)) = X12) => best(X1,X7)))),
% 45.59/6.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_bresenham)).
% 45.59/6.63
% 45.59/6.63 tff(f20,negated_conjecture,(
% 45.59/6.63 ~($lesseq(0,x2) => ! [X12 : $int,X7 : $int,X1 : $int] : (($lesseq(X1,x2) & $lesseq(0,X1)) => (($lesseq(X12,$product(2,y2)) & $lesseq($product(2,$difference(y2,x2)),X12) & $difference($product($product(2,$sum(X1,1)),y2),$product($sum($product(2,X7),1),x2)) = X12) => best(X1,X7))))),
% 45.59/6.63 inference(negated_conjecture,[],[f19])).
% 45.59/6.63
% 45.59/6.63 tff(f24,plain,(
% 45.59/6.63 ! [X1 : $int,X7 : $int] : (~$less(X7,abs(X1)) <=> (~$less(X7,X1) & ~$less(X1,$uminus(X7))))),
% 45.59/6.63 inference(theory_normalization,[],[f15])).
% 45.59/6.63
% 45.59/6.63 tff(f26,plain,(
% 45.59/6.63 ! [X1 : $int,X7 : $int] : (best(X1,X7) <=> ! [X8 : $int] : ~$less(abs($sum($product(x2,X8),$uminus($product(X1,y2)))),abs($sum($product(x2,X7),$uminus($product(X1,y2))))))),
% 45.59/6.63 inference(theory_normalization,[],[f17])).
% 45.59/6.63
% 45.59/6.63 tff(f27,plain,(
% 45.59/6.63 ! [X0 : $int,X9 : $int,X10 : $int] : (~$less(X0,abs($sum($product($product(2,X0),X9),$uminus($product(2,X10))))) => ! [X11 : $int] : ~$less(abs($sum($product(X0,X11),$uminus(X10))),abs($sum($product(X0,X9),$uminus(X10)))))),
% 45.59/6.63 inference(theory_normalization,[],[f18])).
% 45.59/6.63
% 45.59/6.63 tff(f28,plain,(
% 45.59/6.63 ~(~$less(x2,0) => ! [X12 : $int,X7 : $int,X1 : $int] : ((~$less(x2,X1) & ~$less(X1,0)) => ((~$less($product(2,y2),X12) & ~$less(X12,$product(2,$sum(y2,$uminus(x2)))) & $sum($product($product(2,$sum(X1,1)),y2),$uminus($product($sum($product(2,X7),1),x2))) = X12) => best(X1,X7))))),
% 45.59/6.63 inference(theory_normalization,[],[f20])).
% 45.59/6.63
% 45.59/6.63 tff(f29,plain,(
% 45.59/6.63 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 45.59/6.63 introduced(theory_axiom_138,[])).
% 45.59/6.63
% 45.59/6.63 tff(f30,plain,(
% 45.59/6.63 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 45.59/6.63 introduced(theory_axiom_139,[])).
% 45.59/6.63
% 45.59/6.63 tff(f40,plain,(
% 45.59/6.63 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 45.59/6.63 introduced(theory_axiom_138,[])).
% 45.59/6.63
% 45.59/6.63 tff(f41,plain,(
% 45.59/6.63 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 45.59/6.63 introduced(theory_axiom_139,[])).
% 45.59/6.63
% 45.59/6.63 tff(f42,plain,(
% 45.59/6.63 ( ! [X0 : $int] : ($product(X0,1) = X0) )),
% 45.59/6.63 introduced(theory_axiom_140,[])).
% 45.59/6.63
% 45.59/6.63 tff(f44,plain,(
% 45.59/6.63 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )),
% 45.59/6.63 introduced(theory_axiom_153,[])).
% 45.59/6.63
% 45.59/6.63 tff(f55,plain,(
% 45.59/6.63 ! [X0 : $int,X1 : $int] : (~$less(X1,abs(X0)) <=> (~$less(X1,X0) & ~$less(X0,$uminus(X1))))),
% 45.59/6.63 inference(rectify,[],[f24])).
% 45.59/6.63
% 45.59/6.63 tff(f57,plain,(
% 45.59/6.63 ! [X0 : $int,X1 : $int] : (best(X0,X1) <=> ! [X2 : $int] : ~$less(abs($sum($product(x2,X2),$uminus($product(X0,y2)))),abs($sum($product(x2,X1),$uminus($product(X0,y2))))))),
% 45.59/6.63 inference(rectify,[],[f26])).
% 45.59/6.63
% 45.59/6.63 tff(f58,plain,(
% 45.59/6.63 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less(X0,abs($sum($product($product(2,X0),X1),$uminus($product(2,X2))))) => ! [X3 : $int] : ~$less(abs($sum($product(X0,X3),$uminus(X2))),abs($sum($product(X0,X1),$uminus(X2)))))),
% 45.59/6.63 inference(rectify,[],[f27])).
% 45.59/6.63
% 45.59/6.63 tff(f59,plain,(
% 45.59/6.63 ~(~$less(x2,0) => ! [X0 : $int,X1 : $int,X2 : $int] : ((~$less(x2,X2) & ~$less(X2,0)) => ((~$less($product(2,y2),X0) & ~$less(X0,$product(2,$sum(y2,$uminus(x2)))) & $sum($product($product(2,$sum(X2,1)),y2),$uminus($product($sum($product(2,X1),1),x2))) = X0) => best(X2,X1))))),
% 45.59/6.63 inference(rectify,[],[f28])).
% 45.59/6.63
% 45.59/6.63 tff(f60,plain,(
% 45.59/6.63 ! [X0 : $int,X1 : $int] : (! [X2 : $int] : ~$less(abs($sum($product(x2,X2),$uminus($product(X0,y2)))),abs($sum($product(x2,X1),$uminus($product(X0,y2))))) => best(X0,X1))),
% 45.59/6.63 inference(unused_predicate_definition_removal,[],[f57])).
% 45.59/6.63
% 45.59/6.63 tff(f68,plain,(
% 45.59/6.63 ! [X0 : $int,X1 : $int] : (best(X0,X1) | ? [X2 : $int] : $less(abs($sum($product(x2,X2),$uminus($product(X0,y2)))),abs($sum($product(x2,X1),$uminus($product(X0,y2))))))),
% 45.59/6.63 inference(ennf_transformation,[],[f60])).
% 45.59/6.63
% 45.59/6.63 tff(f69,plain,(
% 45.59/6.63 ! [X0 : $int,X1 : $int,X2 : $int] : (! [X3 : $int] : ~$less(abs($sum($product(X0,X3),$uminus(X2))),abs($sum($product(X0,X1),$uminus(X2)))) | $less(X0,abs($sum($product($product(2,X0),X1),$uminus($product(2,X2))))))),
% 45.59/6.63 inference(ennf_transformation,[],[f58])).
% 45.59/6.63
% 45.59/6.63 tff(f70,plain,(
% 45.59/6.63 ? [X0 : $int,X1 : $int,X2 : $int] : ((~best(X2,X1) & (~$less($product(2,y2),X0) & ~$less(X0,$product(2,$sum(y2,$uminus(x2)))) & $sum($product($product(2,$sum(X2,1)),y2),$uminus($product($sum($product(2,X1),1),x2))) = X0)) & (~$less(x2,X2) & ~$less(X2,0))) & ~$less(x2,0)),
% 45.59/6.63 inference(ennf_transformation,[],[f59])).
% 45.59/6.63
% 45.59/6.63 tff(f71,plain,(
% 45.59/6.63 ? [X0 : $int,X1 : $int,X2 : $int] : (~best(X2,X1) & ~$less($product(2,y2),X0) & ~$less(X0,$product(2,$sum(y2,$uminus(x2)))) & $sum($product($product(2,$sum(X2,1)),y2),$uminus($product($sum($product(2,X1),1),x2))) = X0 & ~$less(x2,X2) & ~$less(X2,0)) & ~$less(x2,0)),
% 45.59/6.63 inference(flattening,[],[f70])).
% 45.59/6.63
% 45.59/6.63 tff(f72,plain,(
% 45.59/6.63 ! [X0 : $int,X1 : $int] : ((~$less(X1,abs(X0)) | ($less(X1,X0) | $less(X0,$uminus(X1)))) & ((~$less(X1,X0) & ~$less(X0,$uminus(X1))) | $less(X1,abs(X0))))),
% 45.59/6.63 inference(nnf_transformation,[],[f55])).
% 45.59/6.63
% 45.59/6.63 tff(f73,plain,(
% 45.59/6.63 ! [X0 : $int,X1 : $int] : ((~$less(X1,abs(X0)) | $less(X1,X0) | $less(X0,$uminus(X1))) & ((~$less(X1,X0) & ~$less(X0,$uminus(X1))) | $less(X1,abs(X0))))),
% 45.59/6.63 inference(flattening,[],[f72])).
% 45.59/6.63
% 45.59/6.63 tff(f74,plain,(
% 45.59/6.63 ! [X0 : $int,X1 : $int] : (? [X2 : $int] : $less(abs($sum($product(x2,X2),$uminus($product(X0,y2)))),abs($sum($product(x2,X1),$uminus($product(X0,y2))))) => $less(abs($sum($product(x2,sK0(X0,X1)),$uminus($product(X0,y2)))),abs($sum($product(x2,X1),$uminus($product(X0,y2))))))),
% 45.59/6.63 introduced(choice_axiom,[])).
% 45.59/6.63
% 45.59/6.63 tff(f75,plain,(
% 45.59/6.63 ! [X0 : $int,X1 : $int] : (best(X0,X1) | $less(abs($sum($product(x2,sK0(X0,X1)),$uminus($product(X0,y2)))),abs($sum($product(x2,X1),$uminus($product(X0,y2))))))),
% 45.59/6.63 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f68,f74])).
% 45.59/6.63
% 45.59/6.63 tff(f76,plain,(
% 45.59/6.63 ? [X0 : $int,X1 : $int,X2 : $int] : (~best(X2,X1) & ~$less($product(2,y2),X0) & ~$less(X0,$product(2,$sum(y2,$uminus(x2)))) & $sum($product($product(2,$sum(X2,1)),y2),$uminus($product($sum($product(2,X1),1),x2))) = X0 & ~$less(x2,X2) & ~$less(X2,0)) => (~best(sK3,sK2) & ~$less($product(2,y2),sK1) & ~$less(sK1,$product(2,$sum(y2,$uminus(x2)))) & sK1 = $sum($product($product(2,$sum(sK3,1)),y2),$uminus($product($sum($product(2,sK2),1),x2))) & ~$less(x2,sK3) & ~$less(sK3,0))),
% 45.59/6.63 introduced(choice_axiom,[])).
% 45.59/6.63
% 45.59/6.63 tff(f77,plain,(
% 45.59/6.63 (~best(sK3,sK2) & ~$less($product(2,y2),sK1) & ~$less(sK1,$product(2,$sum(y2,$uminus(x2)))) & sK1 = $sum($product($product(2,$sum(sK3,1)),y2),$uminus($product($sum($product(2,sK2),1),x2))) & ~$less(x2,sK3) & ~$less(sK3,0)) & ~$less(x2,0)),
% 45.59/6.63 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f71,f76])).
% 45.59/6.63
% 45.59/6.63 tff(f96,plain,(
% 45.59/6.63 ( ! [X0 : $int,X1 : $int] : (~$less(X1,abs(X0)) | $less(X1,X0) | $less(X0,$uminus(X1))) )),
% 45.59/6.63 inference(cnf_transformation,[],[f73])).
% 45.59/6.63
% 45.59/6.63 tff(f98,plain,(
% 45.59/6.63 ( ! [X0 : $int,X1 : $int] : (best(X0,X1) | $less(abs($sum($product(x2,sK0(X0,X1)),$uminus($product(X0,y2)))),abs($sum($product(x2,X1),$uminus($product(X0,y2)))))) )),
% 45.59/6.63 inference(cnf_transformation,[],[f75])).
% 45.59/6.63
% 45.59/6.63 tff(f99,plain,(
% 45.59/6.63 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : (~$less(abs($sum($product(X0,X3),$uminus(X2))),abs($sum($product(X0,X1),$uminus(X2)))) | $less(X0,abs($sum($product($product(2,X0),X1),$uminus($product(2,X2)))))) )),
% 45.59/6.63 inference(cnf_transformation,[],[f69])).
% 45.59/6.63
% 45.59/6.63 tff(f103,plain,(
% 45.59/6.63 sK1 = $sum($product($product(2,$sum(sK3,1)),y2),$uminus($product($sum($product(2,sK2),1),x2)))),
% 45.59/6.63 inference(cnf_transformation,[],[f77])).
% 45.59/6.63
% 45.59/6.63 tff(f104,plain,(
% 45.59/6.63 ~$less(sK1,$product(2,$sum(y2,$uminus(x2))))),
% 45.59/6.63 inference(cnf_transformation,[],[f77])).
% 45.59/6.63
% 45.59/6.63 tff(f105,plain,(
% 45.59/6.63 ~$less($product(2,y2),sK1)),
% 45.59/6.63 inference(cnf_transformation,[],[f77])).
% 45.59/6.63
% 45.59/6.63 tff(f106,plain,(
% 45.59/6.63 ~best(sK3,sK2)),
% 45.59/6.63 inference(cnf_transformation,[],[f77])).
% 45.59/6.63
% 45.59/6.63 cnf(c_51,plain,
% 45.59/6.63 ($sum_int($product_int(X0_3,X1_3),$product_int(X0_3,X2_3)) = $product_int(X0_3,$sum_int(X1_3,X2_3))),
% 45.59/6.63 inference(cnf_transformation,[],[f44])).
% 45.59/6.63
% 45.59/6.63 cnf(c_53,plain,
% 45.59/6.63 ($product_int(X0_3,1) = X0_3),
% 45.59/6.63 inference(cnf_transformation,[],[f42])).
% 45.59/6.63
% 45.59/6.63 cnf(c_54,plain,
% 45.59/6.63 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 45.59/6.63 inference(cnf_transformation,[],[f41])).
% 45.59/6.63
% 45.59/6.63 cnf(c_55,plain,
% 45.59/6.63 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 45.59/6.63 inference(cnf_transformation,[],[f40])).
% 45.59/6.63
% 45.59/6.63 cnf(c_65,plain,
% 45.59/6.63 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 45.59/6.63 inference(cnf_transformation,[],[f30])).
% 45.59/6.63
% 45.59/6.63 cnf(c_66,plain,
% 45.59/6.63 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 45.59/6.63 inference(cnf_transformation,[],[f29])).
% 45.59/6.63
% 45.59/6.63 cnf(c_83,plain,
% 45.59/6.63 (~$less_int(X0_3,abs(X1_3))|$less_int(X1_3,$uminus_int(X0_3))|$less_int(X0_3,X1_3)),
% 45.59/6.63 inference(cnf_transformation,[],[f96])).
% 45.59/6.63
% 45.59/6.63 cnf(c_87,plain,
% 45.59/6.63 ($less_int(abs($sum_int($product_int(x2,sK0(X0_3,X1_3)),$uminus_int($product_int(X0_3,y2)))),abs($sum_int($product_int(x2,X1_3),$uminus_int($product_int(X0_3,y2)))))|
% 45.59/6.63 best(X0_3,X1_3)),
% 45.59/6.63 inference(cnf_transformation,[],[f98])).
% 45.59/6.63
% 45.59/6.63 cnf(c_88,plain,
% 45.59/6.63 (~$less_int(abs($sum_int($product_int(X0_3,X1_3),$uminus_int(X2_3))),abs($sum_int($product_int(X0_3,X3_3),$uminus_int(X2_3))))|
% 45.59/6.63 $less_int(X0_3,abs($sum_int($product_int($product_int(2,X0_3),X3_3),$uminus_int($product_int(2,X2_3)))))),
% 45.59/6.63 inference(cnf_transformation,[],[f99])).
% 45.59/6.63
% 45.59/6.63 cnf(c_89,negated_conjecture,
% 45.59/6.63 (~best(sK3,sK2)),
% 45.59/6.63 inference(cnf_transformation,[],[f106])).
% 45.59/6.63
% 45.59/6.63 cnf(c_90,negated_conjecture,
% 45.59/6.63 (~$less_int($product_int(2,y2),sK1)),
% 45.59/6.63 inference(cnf_transformation,[],[f105])).
% 45.59/6.63
% 45.59/6.63 cnf(c_91,negated_conjecture,
% 45.59/6.63 (~$less_int(sK1,$product_int(2,$sum_int(y2,$uminus_int(x2))))),
% 45.59/6.63 inference(cnf_transformation,[],[f104])).
% 45.59/6.63
% 45.59/6.63 cnf(c_92,negated_conjecture,
% 45.59/6.63 ($sum_int($product_int($product_int(2,$sum_int(sK3,1)),y2),$uminus_int($product_int($sum_int($product_int(2,sK2),1),x2))) = sK1),
% 45.59/6.63 inference(cnf_transformation,[],[f103])).
% 45.59/6.63
% 45.59/6.63 cnf(c_176,plain,
% 45.59/6.63 ($less_int(abs($sum_int($product_int(x2,sK0(X0_3,X1_3)),$uminus_int($product_int(X0_3,y2)))),abs($sum_int($product_int(x2,X1_3),$uminus_int($product_int(X0_3,y2)))))|
% 45.59/6.63 best(X0_3,X1_3)),
% 45.59/6.63 inference(prop_impl_just,[status(thm)],[c_87])).
% 45.59/6.63
% 45.59/6.63 cnf(c_415,plain,
% 45.59/6.63 (X0_3 != sK3|X1_3 != sK2|$less_int(abs($sum_int($product_int(x2,sK0(X0_3,X1_3)),$uminus_int($product_int(X0_3,y2)))),abs($sum_int($product_int(x2,X1_3),$uminus_int($product_int(X0_3,y2)))))),
% 45.59/6.63 inference(resolution_lifted,[status(thm)],[c_176,c_89])).
% 45.59/6.63
% 45.59/6.63 cnf(c_416,plain,
% 45.59/6.63 ($less_int(abs($sum_int($product_int(x2,sK0(sK3,sK2)),$uminus_int($product_int(sK3,y2)))),abs($sum_int($product_int(x2,sK2),$uminus_int($product_int(sK3,y2)))))),
% 45.59/6.63 inference(unflattening,[status(thm)],[c_415])).
% 45.59/6.63
% 45.59/6.63 cnf(c_1207,plain,
% 45.59/6.63 ($sum_int(X0_3,$sum_int(X1_3,X2_3)) = $sum_int(X1_3,$sum_int(X0_3,X2_3))),
% 45.59/6.63 inference(superposition,[status(thm)],[c_65,c_66])).
% 45.59/6.63
% 45.59/6.63 cnf(c_1211,plain,
% 45.59/6.63 (~$less_int(abs($sum_int($product_int(X0_3,X1_3),$uminus_int(X2_3))),abs($sum_int($product_int(X0_3,X3_3),$uminus_int(X2_3))))|
% 45.59/6.63 $less_int(X0_3,abs($sum_int($product_int(2,$product_int(X0_3,X3_3)),$product_int(-2,X2_3))))),
% 45.59/6.63 inference(smt_theory_normalisation,[status(thm)],[c_88])).
% 45.59/6.63
% 45.59/6.63 cnf(c_1213,plain,
% 45.59/6.63 ($less_int(x2,abs($sum_int($product_int(2,$product_int(x2,sK2)),$product_int(-2,$product_int(sK3,y2)))))),
% 45.59/6.63 inference(superposition,[status(thm)],[c_416,c_1211])).
% 45.59/6.63
% 45.59/6.63 cnf(c_1233,plain,
% 45.59/6.63 ($sum_int($product_int($product_int(2,$sum_int(sK3,1)),y2),$sum_int(X0_3,$uminus_int($product_int($sum_int($product_int(2,sK2),1),x2)))) = $sum_int(X0_3,sK1)),
% 45.59/6.63 inference(superposition,[status(thm)],[c_92,c_1207])).
% 45.59/6.63
% 45.59/6.63 cnf(c_1365,plain,
% 45.59/6.63 ($sum_int(X0_3,$product_int(X0_3,X1_3)) = $product_int(X0_3,$sum_int(1,X1_3))),
% 45.59/6.63 inference(superposition,[status(thm)],[c_53,c_51])).
% 45.59/6.63
% 45.59/6.63 cnf(c_1390,plain,
% 45.59/6.63 (~$less_int($product_int(y2,2),sK1)),
% 45.59/6.63 inference(superposition,[status(thm)],[c_55,c_90])).
% 45.59/6.63
% 45.59/6.63 cnf(c_1515,plain,
% 45.59/6.63 ($less_int(x2,abs($sum_int($product_int(y2,$product_int(sK3,-2)),$product_int(2,$product_int(sK2,x2)))))),
% 45.59/6.63 inference(theory_normalisation,
% 45.59/6.63 [status(thm)],
% 45.59/6.63 [c_1213,c_65,c_66,c_54,c_55])).
% 45.59/6.63
% 45.59/6.63 cnf(c_1578,plain,
% 45.59/6.63 ($sum_int($product_int(y2,$product_int(2,$sum_int(1,sK3))),$sum_int(X0_3,$uminus_int($product_int(x2,$sum_int(1,$product_int(2,sK2)))))) = $sum_int(X0_3,sK1)),
% 45.59/6.63 inference(theory_normalisation,
% 45.59/6.63 [status(thm)],
% 45.59/6.63 [c_1233,c_65,c_66,c_54,c_55])).
% 45.59/6.63
% 45.59/6.63 cnf(c_2276,plain,
% 45.59/6.63 ($sum_int($product_int(y2,$sum_int(2,$product_int(2,sK3))),$product_int(-1,$product_int(x2,$sum_int(1,$product_int(2,sK2))))) = sK1),
% 45.59/6.63 inference(smt_theory_normalisation,[status(thm)],[c_1578])).
% 45.59/6.63
% 45.59/6.63 cnf(c_2279,plain,
% 45.59/6.63 ($sum_int($product_int(y2,$sum_int(2,$product_int(2,sK3))),$sum_int(X0_3,$product_int(-1,$product_int(x2,$sum_int(1,$product_int(2,sK2)))))) = $sum_int(X0_3,sK1)),
% 45.59/6.63 inference(superposition,[status(thm)],[c_2276,c_1207])).
% 45.59/6.63
% 45.59/6.63 cnf(c_2804,plain,
% 45.59/6.63 ($less_int($sum_int($product_int(y2,$product_int(sK3,-2)),$product_int(2,$product_int(sK2,x2))),$uminus_int(x2))|
% 45.59/6.63 $less_int(x2,$sum_int($product_int(y2,$product_int(sK3,-2)),$product_int(2,$product_int(sK2,x2))))),
% 45.59/6.63 inference(superposition,[status(thm)],[c_1515,c_83])).
% 45.59/6.63
% 45.59/6.63 cnf(c_3729,plain,
% 45.59/6.63 ($sum_int($product_int(y2,$product_int(2,$sum_int(1,sK3))),$sum_int(X0_3,$product_int(-1,$product_int(x2,$sum_int(1,$product_int(2,sK2)))))) = $sum_int(X0_3,sK1)),
% 45.59/6.63 inference(demodulation,[status(thm)],[c_2279,c_1365])).
% 45.59/6.63
% 45.59/6.63 cnf(c_3730,plain,
% 45.59/6.63 ($sum_int($product_int(y2,$product_int(2,$sum_int(1,sK3))),$sum_int(X0_3,$product_int(x2,$product_int(-1,$sum_int(1,$product_int(2,sK2)))))) = $sum_int(X0_3,sK1)),
% 45.59/6.63 inference(theory_normalisation,
% 45.59/6.63 [status(thm)],
% 45.59/6.63 [c_3729,c_65,c_66,c_54,c_55])).
% 45.59/6.63
% 45.59/6.63 cnf(c_40721,plain,
% 45.59/6.63 ($false),
% 45.59/6.63 inference(smt_impl_just,[status(thm)],[c_3730,c_2804,c_1390,c_91])).
% 45.59/6.63
% 45.59/6.63
% 45.59/6.63 % SZS output end CNFRefutation for theBenchmark.p
% 45.59/6.63
% 45.59/6.63
%------------------------------------------------------------------------------