TSTP Solution File: SWW619_2 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWW619_2 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.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 03:25:41 EDT 2024
% Result : Theorem 0.46s 1.17s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWW619_2 : TPTP v8.1.2. Released v6.1.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n013.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 22:08:34 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running TFA theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa --heuristic_context casc_unsat /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.46/1.17 % SZS status Started for theBenchmark.p
% 0.46/1.17 % SZS status Theorem for theBenchmark.p
% 0.46/1.17
% 0.46/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.46/1.17
% 0.46/1.17 ------ iProver source info
% 0.46/1.17
% 0.46/1.17 git: date: 2024-05-02 19:28:25 +0000
% 0.46/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.46/1.17 git: non_committed_changes: false
% 0.46/1.17
% 0.46/1.17 ------ Parsing...
% 0.46/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.46/1.17
% 0.46/1.17 ------ Preprocessing... sup_sim: 3 sf_s rm: 4 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e
% 0.46/1.17
% 0.46/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.46/1.17
% 0.46/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.46/1.17 ------ Proving...
% 0.46/1.17 ------ Problem Properties
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17 clauses 161
% 0.46/1.17 conjectures 9
% 0.46/1.17 EPR 23
% 0.46/1.17 Horn 109
% 0.46/1.17 unary 50
% 0.46/1.17 binary 66
% 0.46/1.17 lits 370
% 0.46/1.17 lits eq 104
% 0.46/1.17 fd_pure 1
% 0.46/1.17 fd_pseudo 0
% 0.46/1.17 fd_cond 5
% 0.46/1.17 fd_pseudo_cond 5
% 0.46/1.17 AC symbols 2
% 0.46/1.17
% 0.46/1.17 ------ Input Options Time Limit: Unbounded
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17 ------
% 0.46/1.17 Current options:
% 0.46/1.17 ------
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17 ------ Proving...
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17 % SZS status Theorem for theBenchmark.p
% 0.46/1.17
% 0.46/1.17 % SZS output start CNFRefutation for theBenchmark.p
% 0.46/1.17
% 0.46/1.17 tff(f98,conjecture,(
% 0.46/1.17 ! [X0 : $int,X10 : map_int_elt2] : ($lesseq(0,X0) => ! [X29 : $int,X30 : map_int_elt2] : ((! [X14 : $int] : (($less(X14,X29) & $lesseq(0,X14)) => tb2t7(get(elt5,int,t2tb9(X30),t2tb(X14))) = tb2t7(get(elt5,int,t2tb9(X10),t2tb(X14)))) & X0 = X29 & $lesseq(0,X29)) => ! [X31 : $int,X11 : map_int_elt2] : ((! [X25 : $int] : (($less($product(X25,X31),X0) & $lesseq(0,$product(X25,X31))) => sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X11))),$product(X25,X31),min(X0,$sum($product(X25,X31),X31)))) & permut_all(elt5,mk_array1(elt5,X0,t2tb9(X10)),mk_array1(elt5,X0,t2tb9(X11))) & $lesseq(1,X31)) => ($less(X31,X0) => ! [X25 : $int] : (($less($product(X25,X31),X0) & $lesseq(0,$product(X25,X31))) => sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X11))),$product(X25,X31),min(X0,$sum($product(X25,X31),X31))))))))),
% 0.46/1.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_bottom_up_mergesort)).
% 0.46/1.17
% 0.46/1.17 tff(f99,negated_conjecture,(
% 0.46/1.17 ~! [X0 : $int,X10 : map_int_elt2] : ($lesseq(0,X0) => ! [X29 : $int,X30 : map_int_elt2] : ((! [X14 : $int] : (($less(X14,X29) & $lesseq(0,X14)) => tb2t7(get(elt5,int,t2tb9(X30),t2tb(X14))) = tb2t7(get(elt5,int,t2tb9(X10),t2tb(X14)))) & X0 = X29 & $lesseq(0,X29)) => ! [X31 : $int,X11 : map_int_elt2] : ((! [X25 : $int] : (($less($product(X25,X31),X0) & $lesseq(0,$product(X25,X31))) => sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X11))),$product(X25,X31),min(X0,$sum($product(X25,X31),X31)))) & permut_all(elt5,mk_array1(elt5,X0,t2tb9(X10)),mk_array1(elt5,X0,t2tb9(X11))) & $lesseq(1,X31)) => ($less(X31,X0) => ! [X25 : $int] : (($less($product(X25,X31),X0) & $lesseq(0,$product(X25,X31))) => sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X11))),$product(X25,X31),min(X0,$sum($product(X25,X31),X31))))))))),
% 0.46/1.17 inference(negated_conjecture,[],[f98])).
% 0.46/1.17
% 0.46/1.17 tff(f141,plain,(
% 0.46/1.17 ~! [X0 : $int,X10 : map_int_elt2] : (~$less(X0,0) => ! [X29 : $int,X30 : map_int_elt2] : ((! [X14 : $int] : (($less(X14,X29) & ~$less(X14,0)) => tb2t7(get(elt5,int,t2tb9(X30),t2tb(X14))) = tb2t7(get(elt5,int,t2tb9(X10),t2tb(X14)))) & X0 = X29 & ~$less(X29,0)) => ! [X31 : $int,X11 : map_int_elt2] : ((! [X25 : $int] : (($less($product(X25,X31),X0) & ~$less($product(X25,X31),0)) => sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X11))),$product(X25,X31),min(X0,$sum($product(X25,X31),X31)))) & permut_all(elt5,mk_array1(elt5,X0,t2tb9(X10)),mk_array1(elt5,X0,t2tb9(X11))) & ~$less(X31,1)) => ($less(X31,X0) => ! [X25 : $int] : (($less($product(X25,X31),X0) & ~$less($product(X25,X31),0)) => sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X11))),$product(X25,X31),min(X0,$sum($product(X25,X31),X31))))))))),
% 0.46/1.17 inference(theory_normalization,[],[f99])).
% 0.46/1.17
% 0.46/1.17 tff(f142,plain,(
% 0.46/1.17 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.46/1.17 introduced(theory_axiom_138,[])).
% 0.46/1.17
% 0.46/1.17 tff(f143,plain,(
% 0.46/1.17 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.46/1.17 introduced(theory_axiom_139,[])).
% 0.46/1.17
% 0.46/1.17 tff(f153,plain,(
% 0.46/1.17 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 0.46/1.17 introduced(theory_axiom_138,[])).
% 0.46/1.17
% 0.46/1.17 tff(f154,plain,(
% 0.46/1.17 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 0.46/1.17 introduced(theory_axiom_139,[])).
% 0.46/1.17
% 0.46/1.17 tff(f247,plain,(
% 0.46/1.17 ~! [X0 : $int,X1 : map_int_elt2] : (~$less(X0,0) => ! [X2 : $int,X3 : map_int_elt2] : ((! [X4 : $int] : (($less(X4,X2) & ~$less(X4,0)) => tb2t7(get(elt5,int,t2tb9(X3),t2tb(X4))) = tb2t7(get(elt5,int,t2tb9(X1),t2tb(X4)))) & X0 = X2 & ~$less(X2,0)) => ! [X5 : $int,X6 : map_int_elt2] : ((! [X7 : $int] : (($less($product(X7,X5),X0) & ~$less($product(X7,X5),0)) => sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X6))),$product(X7,X5),min(X0,$sum($product(X7,X5),X5)))) & permut_all(elt5,mk_array1(elt5,X0,t2tb9(X1)),mk_array1(elt5,X0,t2tb9(X6))) & ~$less(X5,1)) => ($less(X5,X0) => ! [X8 : $int] : (($less($product(X8,X5),X0) & ~$less($product(X8,X5),0)) => sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X6))),$product(X8,X5),min(X0,$sum($product(X8,X5),X5))))))))),
% 0.46/1.17 inference(rectify,[],[f141])).
% 0.46/1.17
% 0.46/1.17 tff(f331,plain,(
% 0.46/1.17 ? [X0 : $int,X1 : map_int_elt2] : (? [X2 : $int,X3 : map_int_elt2] : (? [X5 : $int,X6 : map_int_elt2] : ((? [X8 : $int] : (~sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X6))),$product(X8,X5),min(X0,$sum($product(X8,X5),X5))) & ($less($product(X8,X5),X0) & ~$less($product(X8,X5),0))) & $less(X5,X0)) & (! [X7 : $int] : (sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X6))),$product(X7,X5),min(X0,$sum($product(X7,X5),X5))) | (~$less($product(X7,X5),X0) | $less($product(X7,X5),0))) & permut_all(elt5,mk_array1(elt5,X0,t2tb9(X1)),mk_array1(elt5,X0,t2tb9(X6))) & ~$less(X5,1))) & (! [X4 : $int] : (tb2t7(get(elt5,int,t2tb9(X3),t2tb(X4))) = tb2t7(get(elt5,int,t2tb9(X1),t2tb(X4))) | (~$less(X4,X2) | $less(X4,0))) & X0 = X2 & ~$less(X2,0))) & ~$less(X0,0))),
% 0.46/1.17 inference(ennf_transformation,[],[f247])).
% 0.46/1.17
% 0.46/1.17 tff(f332,plain,(
% 0.46/1.17 ? [X0 : $int,X1 : map_int_elt2] : (? [X2 : $int,X3 : map_int_elt2] : (? [X5 : $int,X6 : map_int_elt2] : (? [X8 : $int] : (~sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X6))),$product(X8,X5),min(X0,$sum($product(X8,X5),X5))) & $less($product(X8,X5),X0) & ~$less($product(X8,X5),0)) & $less(X5,X0) & ! [X7 : $int] : (sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X6))),$product(X7,X5),min(X0,$sum($product(X7,X5),X5))) | ~$less($product(X7,X5),X0) | $less($product(X7,X5),0)) & permut_all(elt5,mk_array1(elt5,X0,t2tb9(X1)),mk_array1(elt5,X0,t2tb9(X6))) & ~$less(X5,1)) & ! [X4 : $int] : (tb2t7(get(elt5,int,t2tb9(X3),t2tb(X4))) = tb2t7(get(elt5,int,t2tb9(X1),t2tb(X4))) | ~$less(X4,X2) | $less(X4,0)) & X0 = X2 & ~$less(X2,0)) & ~$less(X0,0))),
% 0.46/1.17 inference(flattening,[],[f331])).
% 0.46/1.17
% 0.46/1.17 tff(f365,plain,(
% 0.46/1.17 ? [X0 : $int,X1 : map_int_elt2] : (? [X2 : $int,X3 : map_int_elt2] : (? [X4 : $int,X5 : map_int_elt2] : (? [X6 : $int] : (~sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X5))),$product(X6,X4),min(X0,$sum($product(X6,X4),X4))) & $less($product(X6,X4),X0) & ~$less($product(X6,X4),0)) & $less(X4,X0) & ! [X7 : $int] : (sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X5))),$product(X7,X4),min(X0,$sum($product(X7,X4),X4))) | ~$less($product(X7,X4),X0) | $less($product(X7,X4),0)) & permut_all(elt5,mk_array1(elt5,X0,t2tb9(X1)),mk_array1(elt5,X0,t2tb9(X5))) & ~$less(X4,1)) & ! [X8 : $int] : (tb2t7(get(elt5,int,t2tb9(X3),t2tb(X8))) = tb2t7(get(elt5,int,t2tb9(X1),t2tb(X8))) | ~$less(X8,X2) | $less(X8,0)) & X0 = X2 & ~$less(X2,0)) & ~$less(X0,0))),
% 0.46/1.17 inference(rectify,[],[f332])).
% 0.46/1.17
% 0.46/1.17 tff(f366,plain,(
% 0.46/1.17 ? [X0 : $int,X1 : map_int_elt2] : (? [X2 : $int,X3 : map_int_elt2] : (? [X4 : $int,X5 : map_int_elt2] : (? [X6 : $int] : (~sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X5))),$product(X6,X4),min(X0,$sum($product(X6,X4),X4))) & $less($product(X6,X4),X0) & ~$less($product(X6,X4),0)) & $less(X4,X0) & ! [X7 : $int] : (sorted_sub3(tb2t8(mk_array1(elt5,X0,t2tb9(X5))),$product(X7,X4),min(X0,$sum($product(X7,X4),X4))) | ~$less($product(X7,X4),X0) | $less($product(X7,X4),0)) & permut_all(elt5,mk_array1(elt5,X0,t2tb9(X1)),mk_array1(elt5,X0,t2tb9(X5))) & ~$less(X4,1)) & ! [X8 : $int] : (tb2t7(get(elt5,int,t2tb9(X3),t2tb(X8))) = tb2t7(get(elt5,int,t2tb9(X1),t2tb(X8))) | ~$less(X8,X2) | $less(X8,0)) & X0 = X2 & ~$less(X2,0)) & ~$less(X0,0)) => (? [X3 : map_int_elt2,X2 : $int] : (? [X5 : map_int_elt2,X4 : $int] : (? [X6 : $int] : (~sorted_sub3(tb2t8(mk_array1(elt5,sK10,t2tb9(X5))),$product(X6,X4),min(sK10,$sum($product(X6,X4),X4))) & $less($product(X6,X4),sK10) & ~$less($product(X6,X4),0)) & $less(X4,sK10) & ! [X7 : $int] : (sorted_sub3(tb2t8(mk_array1(elt5,sK10,t2tb9(X5))),$product(X7,X4),min(sK10,$sum($product(X7,X4),X4))) | ~$less($product(X7,X4),sK10) | $less($product(X7,X4),0)) & permut_all(elt5,mk_array1(elt5,sK10,t2tb9(sK11)),mk_array1(elt5,sK10,t2tb9(X5))) & ~$less(X4,1)) & ! [X8 : $int] : (tb2t7(get(elt5,int,t2tb9(X3),t2tb(X8))) = tb2t7(get(elt5,int,t2tb9(sK11),t2tb(X8))) | ~$less(X8,X2) | $less(X8,0)) & sK10 = X2 & ~$less(X2,0)) & ~$less(sK10,0))),
% 0.46/1.17 introduced(choice_axiom,[])).
% 0.46/1.17
% 0.46/1.17 tff(f367,plain,(
% 0.46/1.17 ? [X3 : map_int_elt2,X2 : $int] : (? [X5 : map_int_elt2,X4 : $int] : (? [X6 : $int] : (~sorted_sub3(tb2t8(mk_array1(elt5,sK10,t2tb9(X5))),$product(X6,X4),min(sK10,$sum($product(X6,X4),X4))) & $less($product(X6,X4),sK10) & ~$less($product(X6,X4),0)) & $less(X4,sK10) & ! [X7 : $int] : (sorted_sub3(tb2t8(mk_array1(elt5,sK10,t2tb9(X5))),$product(X7,X4),min(sK10,$sum($product(X7,X4),X4))) | ~$less($product(X7,X4),sK10) | $less($product(X7,X4),0)) & permut_all(elt5,mk_array1(elt5,sK10,t2tb9(sK11)),mk_array1(elt5,sK10,t2tb9(X5))) & ~$less(X4,1)) & ! [X8 : $int] : (tb2t7(get(elt5,int,t2tb9(X3),t2tb(X8))) = tb2t7(get(elt5,int,t2tb9(sK11),t2tb(X8))) | ~$less(X8,X2) | $less(X8,0)) & sK10 = X2 & ~$less(X2,0)) => (? [X5 : map_int_elt2,X4 : $int] : (? [X6 : $int] : (~sorted_sub3(tb2t8(mk_array1(elt5,sK10,t2tb9(X5))),$product(X6,X4),min(sK10,$sum($product(X6,X4),X4))) & $less($product(X6,X4),sK10) & ~$less($product(X6,X4),0)) & $less(X4,sK10) & ! [X7 : $int] : (sorted_sub3(tb2t8(mk_array1(elt5,sK10,t2tb9(X5))),$product(X7,X4),min(sK10,$sum($product(X7,X4),X4))) | ~$less($product(X7,X4),sK10) | $less($product(X7,X4),0)) & permut_all(elt5,mk_array1(elt5,sK10,t2tb9(sK11)),mk_array1(elt5,sK10,t2tb9(X5))) & ~$less(X4,1)) & ! [X8 : $int] : (tb2t7(get(elt5,int,t2tb9(sK11),t2tb(X8))) = tb2t7(get(elt5,int,t2tb9(sK13),t2tb(X8))) | ~$less(X8,sK12) | $less(X8,0)) & sK10 = sK12 & ~$less(sK12,0))),
% 0.46/1.17 introduced(choice_axiom,[])).
% 0.46/1.17
% 0.46/1.17 tff(f368,plain,(
% 0.46/1.17 ? [X5 : map_int_elt2,X4 : $int] : (? [X6 : $int] : (~sorted_sub3(tb2t8(mk_array1(elt5,sK10,t2tb9(X5))),$product(X6,X4),min(sK10,$sum($product(X6,X4),X4))) & $less($product(X6,X4),sK10) & ~$less($product(X6,X4),0)) & $less(X4,sK10) & ! [X7 : $int] : (sorted_sub3(tb2t8(mk_array1(elt5,sK10,t2tb9(X5))),$product(X7,X4),min(sK10,$sum($product(X7,X4),X4))) | ~$less($product(X7,X4),sK10) | $less($product(X7,X4),0)) & permut_all(elt5,mk_array1(elt5,sK10,t2tb9(sK11)),mk_array1(elt5,sK10,t2tb9(X5))) & ~$less(X4,1)) => (? [X6 : $int] : (~sorted_sub3(tb2t8(mk_array1(elt5,sK10,t2tb9(sK15))),$product(X6,sK14),min(sK10,$sum($product(X6,sK14),sK14))) & $less($product(X6,sK14),sK10) & ~$less($product(X6,sK14),0)) & $less(sK14,sK10) & ! [X7 : $int] : (sorted_sub3(tb2t8(mk_array1(elt5,sK10,t2tb9(sK15))),$product(X7,sK14),min(sK10,$sum($product(X7,sK14),sK14))) | ~$less($product(X7,sK14),sK10) | $less($product(X7,sK14),0)) & permut_all(elt5,mk_array1(elt5,sK10,t2tb9(sK11)),mk_array1(elt5,sK10,t2tb9(sK15))) & ~$less(sK14,1))),
% 0.46/1.17 introduced(choice_axiom,[])).
% 0.46/1.17
% 0.46/1.17 tff(f369,plain,(
% 0.46/1.17 ? [X6 : $int] : (~sorted_sub3(tb2t8(mk_array1(elt5,sK10,t2tb9(sK15))),$product(X6,sK14),min(sK10,$sum($product(X6,sK14),sK14))) & $less($product(X6,sK14),sK10) & ~$less($product(X6,sK14),0)) => (~sorted_sub3(tb2t8(mk_array1(elt5,sK10,t2tb9(sK15))),$product(sK16,sK14),min(sK10,$sum($product(sK16,sK14),sK14))) & $less($product(sK16,sK14),sK10) & ~$less($product(sK16,sK14),0))),
% 0.46/1.17 introduced(choice_axiom,[])).
% 0.46/1.17
% 0.46/1.17 tff(f370,plain,(
% 0.46/1.17 (((~sorted_sub3(tb2t8(mk_array1(elt5,sK10,t2tb9(sK15))),$product(sK16,sK14),min(sK10,$sum($product(sK16,sK14),sK14))) & $less($product(sK16,sK14),sK10) & ~$less($product(sK16,sK14),0)) & $less(sK14,sK10) & ! [X7 : $int] : (sorted_sub3(tb2t8(mk_array1(elt5,sK10,t2tb9(sK15))),$product(X7,sK14),min(sK10,$sum($product(X7,sK14),sK14))) | ~$less($product(X7,sK14),sK10) | $less($product(X7,sK14),0)) & permut_all(elt5,mk_array1(elt5,sK10,t2tb9(sK11)),mk_array1(elt5,sK10,t2tb9(sK15))) & ~$less(sK14,1)) & ! [X8 : $int] : (tb2t7(get(elt5,int,t2tb9(sK11),t2tb(X8))) = tb2t7(get(elt5,int,t2tb9(sK13),t2tb(X8))) | ~$less(X8,sK12) | $less(X8,0)) & sK10 = sK12 & ~$less(sK12,0)) & ~$less(sK10,0)),
% 0.46/1.17 inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13,sK14,sK15,sK16])],[f365,f369,f368,f367,f366])).
% 0.46/1.17
% 0.46/1.17 tff(f515,plain,(
% 0.46/1.17 sK10 = sK12),
% 0.46/1.17 inference(cnf_transformation,[],[f370])).
% 0.46/1.17
% 0.46/1.17 tff(f519,plain,(
% 0.46/1.17 ( ! [X7 : $int] : (sorted_sub3(tb2t8(mk_array1(elt5,sK10,t2tb9(sK15))),$product(X7,sK14),min(sK10,$sum($product(X7,sK14),sK14))) | ~$less($product(X7,sK14),sK10) | $less($product(X7,sK14),0)) )),
% 0.46/1.17 inference(cnf_transformation,[],[f370])).
% 0.46/1.17
% 0.46/1.17 tff(f521,plain,(
% 0.46/1.17 ~$less($product(sK16,sK14),0)),
% 0.46/1.17 inference(cnf_transformation,[],[f370])).
% 0.46/1.17
% 0.46/1.17 tff(f522,plain,(
% 0.46/1.17 $less($product(sK16,sK14),sK10)),
% 0.46/1.17 inference(cnf_transformation,[],[f370])).
% 0.46/1.17
% 0.46/1.17 tff(f523,plain,(
% 0.46/1.17 ~sorted_sub3(tb2t8(mk_array1(elt5,sK10,t2tb9(sK15))),$product(sK16,sK14),min(sK10,$sum($product(sK16,sK14),sK14)))),
% 0.46/1.17 inference(cnf_transformation,[],[f370])).
% 0.46/1.17
% 0.46/1.17 tff(f529,plain,(
% 0.46/1.17 ~sorted_sub3(tb2t8(mk_array1(elt5,sK12,t2tb9(sK15))),$product(sK16,sK14),min(sK12,$sum($product(sK16,sK14),sK14)))),
% 0.46/1.17 inference(definition_unfolding,[],[f523,f515,f515])).
% 0.46/1.17
% 0.46/1.17 tff(f530,plain,(
% 0.46/1.17 $less($product(sK16,sK14),sK12)),
% 0.46/1.17 inference(definition_unfolding,[],[f522,f515])).
% 0.46/1.17
% 0.46/1.17 tff(f532,plain,(
% 0.46/1.17 ( ! [X7 : $int] : (sorted_sub3(tb2t8(mk_array1(elt5,sK12,t2tb9(sK15))),$product(X7,sK14),min(sK12,$sum($product(X7,sK14),sK14))) | ~$less($product(X7,sK14),sK12) | $less($product(X7,sK14),0)) )),
% 0.46/1.17 inference(definition_unfolding,[],[f519,f515,f515,f515])).
% 0.46/1.17
% 0.46/1.17 cnf(c_54,plain,
% 0.46/1.17 ($product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3))),
% 0.46/1.17 inference(cnf_transformation,[],[f154])).
% 0.46/1.17
% 0.46/1.17 cnf(c_55,plain,
% 0.46/1.17 ($product_int(X0_3,X1_3) = $product_int(X1_3,X0_3)),
% 0.46/1.17 inference(cnf_transformation,[],[f153])).
% 0.46/1.17
% 0.46/1.17 cnf(c_65,plain,
% 0.46/1.17 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 0.46/1.17 inference(cnf_transformation,[],[f143])).
% 0.46/1.17
% 0.46/1.17 cnf(c_66,plain,
% 0.46/1.17 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 0.46/1.17 inference(cnf_transformation,[],[f142])).
% 0.46/1.17
% 0.46/1.17 cnf(c_206,negated_conjecture,
% 0.46/1.17 (~sorted_sub3(tb2t8(mk_array1(elt5,sK12,t2tb9(sK15))),$product_int(sK16,sK14),min(sK12,$sum_int($product_int(sK16,sK14),sK14)))),
% 0.46/1.17 inference(cnf_transformation,[],[f529])).
% 0.46/1.17
% 0.46/1.17 cnf(c_207,negated_conjecture,
% 0.46/1.17 ($less_int($product_int(sK16,sK14),sK12)),
% 0.46/1.17 inference(cnf_transformation,[],[f530])).
% 0.46/1.17
% 0.46/1.17 cnf(c_208,negated_conjecture,
% 0.46/1.17 (~$less_int($product_int(sK16,sK14),0)),
% 0.46/1.17 inference(cnf_transformation,[],[f521])).
% 0.46/1.17
% 0.46/1.17 cnf(c_210,negated_conjecture,
% 0.46/1.17 (~$less_int($product_int(X0_3,sK14),sK12)|sorted_sub3(tb2t8(mk_array1(elt5,sK12,t2tb9(sK15))),$product_int(X0_3,sK14),min(sK12,$sum_int($product_int(X0_3,sK14),sK14)))|
% 0.46/1.17 $less_int($product_int(X0_3,sK14),0)),
% 0.46/1.17 inference(cnf_transformation,[],[f532])).
% 0.46/1.17
% 0.46/1.17 cnf(c_331,negated_conjecture,
% 0.46/1.17 (~sorted_sub3(tb2t8(mk_array1(elt5,sK12,t2tb9(sK15))),$product_int(sK14,sK16),min(sK12,$sum_int(sK14,$product_int(sK14,sK16))))),
% 0.46/1.17 inference(theory_normalisation,[status(thm)],[c_206,c_54,c_55,c_65,c_66])).
% 0.46/1.17
% 0.46/1.17 cnf(c_332,negated_conjecture,
% 0.46/1.17 ($less_int($product_int(sK14,sK16),sK12)),
% 0.46/1.17 inference(theory_normalisation,[status(thm)],[c_207,c_54,c_55,c_65,c_66])).
% 0.46/1.17
% 0.46/1.17 cnf(c_333,negated_conjecture,
% 0.46/1.17 (~$less_int($product_int(sK14,sK16),0)),
% 0.46/1.17 inference(theory_normalisation,[status(thm)],[c_208,c_54,c_55,c_65,c_66])).
% 0.46/1.17
% 0.46/1.17 cnf(c_334,negated_conjecture,
% 0.46/1.17 (~$less_int($product_int(X0_3,sK14),sK12)|sorted_sub3(tb2t8(mk_array1(elt5,sK12,t2tb9(sK15))),$product_int(X0_3,sK14),min(sK12,$sum_int(sK14,$product_int(X0_3,sK14))))|
% 0.46/1.17 $less_int($product_int(X0_3,sK14),0)),
% 0.46/1.17 inference(theory_normalisation,[status(thm)],[c_210,c_54,c_55,c_65,c_66])).
% 0.46/1.17
% 0.46/1.17 cnf(c_9405,plain,
% 0.46/1.17 (~$less_int($product_int(X0_3,sK14),sK12)|sorted_sub3(tb2t8(mk_array1(elt5,sK12,t2tb9(sK15))),$product_int(sK14,X0_3),min(sK12,$sum_int(sK14,$product_int(sK14,X0_3))))|
% 0.46/1.17 $less_int($product_int(X0_3,sK14),0)),
% 0.46/1.17 inference(superposition,[status(thm)],[c_55,c_334])).
% 0.46/1.17
% 0.46/1.17 cnf(c_9429,plain,
% 0.46/1.17 (~$less_int($product_int(sK16,sK14),sK12)|$less_int($product_int(sK16,sK14),0)),
% 0.46/1.17 inference(superposition,[status(thm)],[c_9405,c_331])).
% 0.46/1.17
% 0.46/1.17 cnf(c_9430,plain,
% 0.46/1.17 (~$less_int($product_int(sK14,sK16),sK12)|$less_int($product_int(sK14,sK16),0)),
% 0.46/1.17 inference(theory_normalisation,
% 0.46/1.17 [status(thm)],
% 0.46/1.17 [c_9429,c_65,c_66,c_54,c_55])).
% 0.46/1.17
% 0.46/1.17 cnf(c_9431,plain,
% 0.46/1.17 ($false),
% 0.46/1.17 inference(forward_subsumption_resolution,
% 0.46/1.17 [status(thm)],
% 0.46/1.17 [c_9430,c_333,c_332])).
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17 % SZS output end CNFRefutation for theBenchmark.p
% 0.46/1.17
% 0.46/1.17
%------------------------------------------------------------------------------