TSTP Solution File: SWV182+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV182+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n020.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 : Wed Aug 31 18:55:44 EDT 2022
% Result : Theorem 2.31s 0.66s
% Output : Refutation 2.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 28
% Syntax : Number of formulae : 137 ( 36 unt; 0 def)
% Number of atoms : 481 ( 123 equ)
% Maximal formula atoms : 25 ( 3 avg)
% Number of connectives : 532 ( 188 ~; 210 |; 83 &)
% ( 11 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 12 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 17 con; 0-3 aty)
% Number of variables : 99 ( 95 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1154,plain,
$false,
inference(avatar_sat_refutation,[],[f468,f530,f569,f653,f848,f916,f1019,f1090,f1103,f1117,f1135,f1147]) ).
fof(f1147,plain,
( ~ spl33_4
| ~ spl33_46 ),
inference(avatar_contradiction_clause,[],[f1146]) ).
fof(f1146,plain,
( $false
| ~ spl33_4
| ~ spl33_46 ),
inference(subsumption_resolution,[],[f1145,f440]) ).
fof(f440,plain,
init != sF32,
inference(definition_folding,[],[f384,f439]) ).
fof(f439,plain,
a_select2(rho_init,sK26) = sF32,
introduced(function_definition,[]) ).
fof(f384,plain,
init != a_select2(rho_init,sK26),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
( ( ! [X0] :
( ~ leq(n0,X0)
| init = a_select2(rho_init,X0)
| ~ leq(X0,n4) )
| ~ gt(loopcounter,n0) )
& ( ~ gt(loopcounter,n0)
| ! [X1] :
( ~ leq(n0,X1)
| init = a_select2(mu_init,X1)
| ~ leq(X1,n4) ) )
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76)
& ! [X2] :
( ! [X3] :
( init = a_select3(q_init,X2,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
| ~ leq(n0,X2)
| ~ leq(X2,n135299) )
& leq(sK26,n4)
& leq(n0,sK26)
& init != a_select2(rho_init,sK26)
& ( ! [X5] :
( ~ leq(n0,X5)
| init = a_select2(sigma_init,X5)
| ~ leq(X5,n4) )
| ~ gt(loopcounter,n0) )
& ! [X6] :
( ~ leq(n0,X6)
| ~ leq(X6,n4)
| init = a_select3(center_init,X6,n0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f238,f239]) ).
fof(f239,plain,
( ? [X4] :
( leq(X4,n4)
& leq(n0,X4)
& init != a_select2(rho_init,X4) )
=> ( leq(sK26,n4)
& leq(n0,sK26)
& init != a_select2(rho_init,sK26) ) ),
introduced(choice_axiom,[]) ).
fof(f238,plain,
( ( ! [X0] :
( ~ leq(n0,X0)
| init = a_select2(rho_init,X0)
| ~ leq(X0,n4) )
| ~ gt(loopcounter,n0) )
& ( ~ gt(loopcounter,n0)
| ! [X1] :
( ~ leq(n0,X1)
| init = a_select2(mu_init,X1)
| ~ leq(X1,n4) ) )
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76)
& ! [X2] :
( ! [X3] :
( init = a_select3(q_init,X2,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
| ~ leq(n0,X2)
| ~ leq(X2,n135299) )
& ? [X4] :
( leq(X4,n4)
& leq(n0,X4)
& init != a_select2(rho_init,X4) )
& ( ! [X5] :
( ~ leq(n0,X5)
| init = a_select2(sigma_init,X5)
| ~ leq(X5,n4) )
| ~ gt(loopcounter,n0) )
& ! [X6] :
( ~ leq(n0,X6)
| ~ leq(X6,n4)
| init = a_select3(center_init,X6,n0) ) ),
inference(rectify,[],[f129]) ).
fof(f129,plain,
( ( ! [X3] :
( ~ leq(n0,X3)
| init = a_select2(rho_init,X3)
| ~ leq(X3,n4) )
| ~ gt(loopcounter,n0) )
& ( ~ gt(loopcounter,n0)
| ! [X4] :
( ~ leq(n0,X4)
| init = a_select2(mu_init,X4)
| ~ leq(X4,n4) ) )
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv76)
& ! [X0] :
( ! [X1] :
( init = a_select3(q_init,X0,X1)
| ~ leq(X1,n4)
| ~ leq(n0,X1) )
| ~ leq(n0,X0)
| ~ leq(X0,n135299) )
& ? [X6] :
( leq(X6,n4)
& leq(n0,X6)
& init != a_select2(rho_init,X6) )
& ( ! [X5] :
( ~ leq(n0,X5)
| init = a_select2(sigma_init,X5)
| ~ leq(X5,n4) )
| ~ gt(loopcounter,n0) )
& ! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,n4)
| init = a_select3(center_init,X2,n0) ) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
( ? [X6] :
( init != a_select2(rho_init,X6)
& leq(n0,X6)
& leq(X6,n4) )
& ( ! [X5] :
( init = a_select2(sigma_init,X5)
| ~ leq(X5,n4)
| ~ leq(n0,X5) )
| ~ gt(loopcounter,n0) )
& ! [X2] :
( init = a_select3(center_init,X2,n0)
| ~ leq(X2,n4)
| ~ leq(n0,X2) )
& ! [X0] :
( ! [X1] :
( init = a_select3(q_init,X0,X1)
| ~ leq(n0,X1)
| ~ leq(X1,n4) )
| ~ leq(X0,n135299)
| ~ leq(n0,X0) )
& ( ! [X4] :
( init = a_select2(mu_init,X4)
| ~ leq(X4,n4)
| ~ leq(n0,X4) )
| ~ gt(loopcounter,n0) )
& leq(tptp_float_0_001,pv76)
& ( ! [X3] :
( init = a_select2(rho_init,X3)
| ~ leq(X3,n4)
| ~ leq(n0,X3) )
| ~ gt(loopcounter,n0) )
& leq(n1,loopcounter) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,plain,
~ ( ( ( gt(loopcounter,n0)
=> ! [X5] :
( ( leq(X5,n4)
& leq(n0,X5) )
=> init = a_select2(sigma_init,X5) ) )
& ! [X2] :
( ( leq(X2,n4)
& leq(n0,X2) )
=> init = a_select3(center_init,X2,n0) )
& ! [X0] :
( ( leq(X0,n135299)
& leq(n0,X0) )
=> ! [X1] :
( ( leq(n0,X1)
& leq(X1,n4) )
=> init = a_select3(q_init,X0,X1) ) )
& ( gt(loopcounter,n0)
=> ! [X4] :
( ( leq(X4,n4)
& leq(n0,X4) )
=> init = a_select2(mu_init,X4) ) )
& leq(tptp_float_0_001,pv76)
& ( gt(loopcounter,n0)
=> ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select2(rho_init,X3) ) )
& leq(n1,loopcounter) )
=> ! [X6] :
( ( leq(n0,X6)
& leq(X6,n4) )
=> init = a_select2(rho_init,X6) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(n1,loopcounter)
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,n135299) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,n4) )
=> a_select3(q_init,X13,X17) = init ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(center_init,X3,n0) )
& leq(tptp_float_0_001,pv76)
& ( gt(loopcounter,n0)
=> ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(rho_init,X20) ) )
& ( gt(loopcounter,n0)
=> ! [X19] :
( ( leq(n0,X19)
& leq(X19,n4) )
=> init = a_select2(mu_init,X19) ) )
& ( gt(loopcounter,n0)
=> ! [X21] :
( ( leq(n0,X21)
& leq(X21,n4) )
=> init = a_select2(sigma_init,X21) ) ) )
=> ! [X27] :
( ( leq(n0,X27)
& leq(X27,n4) )
=> init = a_select2(rho_init,X27) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(n1,loopcounter)
& ! [X13] :
( ( leq(n0,X13)
& leq(X13,n135299) )
=> ! [X17] :
( ( leq(n0,X17)
& leq(X17,n4) )
=> a_select3(q_init,X13,X17) = init ) )
& ! [X3] :
( ( leq(X3,n4)
& leq(n0,X3) )
=> init = a_select3(center_init,X3,n0) )
& leq(tptp_float_0_001,pv76)
& ( gt(loopcounter,n0)
=> ! [X20] :
( ( leq(X20,n4)
& leq(n0,X20) )
=> init = a_select2(rho_init,X20) ) )
& ( gt(loopcounter,n0)
=> ! [X19] :
( ( leq(n0,X19)
& leq(X19,n4) )
=> init = a_select2(mu_init,X19) ) )
& ( gt(loopcounter,n0)
=> ! [X21] :
( ( leq(n0,X21)
& leq(X21,n4) )
=> init = a_select2(sigma_init,X21) ) ) )
=> ! [X27] :
( ( leq(n0,X27)
& leq(X27,n4) )
=> init = a_select2(rho_init,X27) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0086) ).
fof(f1145,plain,
( init = sF32
| ~ spl33_4
| ~ spl33_46 ),
inference(forward_demodulation,[],[f1144,f1092]) ).
fof(f1092,plain,
( init = a_select2(rho_init,n3)
| ~ spl33_4 ),
inference(subsumption_resolution,[],[f1084,f507]) ).
fof(f507,plain,
leq(n0,n3),
inference(resolution,[],[f309,f256]) ).
fof(f256,plain,
gt(n3,n0),
inference(cnf_transformation,[],[f70]) ).
fof(f70,axiom,
gt(n3,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_0) ).
fof(f309,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,X1) ),
inference(rectify,[],[f156]) ).
fof(f156,plain,
! [X1,X0] :
( ~ gt(X0,X1)
| leq(X1,X0) ),
inference(ennf_transformation,[],[f107]) ).
fof(f107,plain,
! [X1,X0] :
( gt(X0,X1)
=> leq(X1,X0) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( gt(X1,X0)
=> leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt1) ).
fof(f1084,plain,
( ~ leq(n0,n3)
| init = a_select2(rho_init,n3)
| ~ spl33_4 ),
inference(resolution,[],[f467,f515]) ).
fof(f515,plain,
leq(n3,n4),
inference(resolution,[],[f309,f261]) ).
fof(f261,plain,
gt(n4,n3),
inference(cnf_transformation,[],[f80]) ).
fof(f80,axiom,
gt(n4,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_3) ).
fof(f467,plain,
( ! [X0] :
( ~ leq(X0,n4)
| init = a_select2(rho_init,X0)
| ~ leq(n0,X0) )
| ~ spl33_4 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f466,plain,
( spl33_4
<=> ! [X0] :
( ~ leq(X0,n4)
| init = a_select2(rho_init,X0)
| ~ leq(n0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_4])]) ).
fof(f1144,plain,
( a_select2(rho_init,n3) = sF32
| ~ spl33_46 ),
inference(forward_demodulation,[],[f439,f847]) ).
fof(f847,plain,
( n3 = sK26
| ~ spl33_46 ),
inference(avatar_component_clause,[],[f845]) ).
fof(f845,plain,
( spl33_46
<=> n3 = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl33_46])]) ).
fof(f1135,plain,
( ~ spl33_4
| ~ spl33_45 ),
inference(avatar_contradiction_clause,[],[f1134]) ).
fof(f1134,plain,
( $false
| ~ spl33_4
| ~ spl33_45 ),
inference(subsumption_resolution,[],[f1133,f440]) ).
fof(f1133,plain,
( init = sF32
| ~ spl33_4
| ~ spl33_45 ),
inference(forward_demodulation,[],[f1132,f1086]) ).
fof(f1086,plain,
( init = a_select2(rho_init,n2)
| ~ spl33_4 ),
inference(subsumption_resolution,[],[f1083,f505]) ).
fof(f505,plain,
leq(n0,n2),
inference(resolution,[],[f309,f264]) ).
fof(f264,plain,
gt(n2,n0),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
gt(n2,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_0) ).
fof(f1083,plain,
( ~ leq(n0,n2)
| init = a_select2(rho_init,n2)
| ~ spl33_4 ),
inference(resolution,[],[f467,f514]) ).
fof(f514,plain,
leq(n2,n4),
inference(resolution,[],[f309,f288]) ).
fof(f288,plain,
gt(n4,n2),
inference(cnf_transformation,[],[f76]) ).
fof(f76,axiom,
gt(n4,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_2) ).
fof(f1132,plain,
( a_select2(rho_init,n2) = sF32
| ~ spl33_45 ),
inference(forward_demodulation,[],[f439,f843]) ).
fof(f843,plain,
( n2 = sK26
| ~ spl33_45 ),
inference(avatar_component_clause,[],[f841]) ).
fof(f841,plain,
( spl33_45
<=> n2 = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl33_45])]) ).
fof(f1117,plain,
( ~ spl33_4
| ~ spl33_29 ),
inference(avatar_contradiction_clause,[],[f1116]) ).
fof(f1116,plain,
( $false
| ~ spl33_4
| ~ spl33_29 ),
inference(subsumption_resolution,[],[f1115,f440]) ).
fof(f1115,plain,
( init = sF32
| ~ spl33_4
| ~ spl33_29 ),
inference(forward_demodulation,[],[f1114,f1085]) ).
fof(f1085,plain,
( init = a_select2(rho_init,n1)
| ~ spl33_4 ),
inference(subsumption_resolution,[],[f1082,f502]) ).
fof(f502,plain,
leq(n0,n1),
inference(resolution,[],[f309,f344]) ).
fof(f344,plain,
gt(n1,n0),
inference(cnf_transformation,[],[f68]) ).
fof(f68,axiom,
gt(n1,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_1_0) ).
fof(f1082,plain,
( init = a_select2(rho_init,n1)
| ~ leq(n0,n1)
| ~ spl33_4 ),
inference(resolution,[],[f467,f513]) ).
fof(f513,plain,
leq(n1,n4),
inference(resolution,[],[f309,f347]) ).
fof(f347,plain,
gt(n4,n1),
inference(cnf_transformation,[],[f71]) ).
fof(f71,axiom,
gt(n4,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_1) ).
fof(f1114,plain,
( a_select2(rho_init,n1) = sF32
| ~ spl33_29 ),
inference(forward_demodulation,[],[f439,f764]) ).
fof(f764,plain,
( n1 = sK26
| ~ spl33_29 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f762,plain,
( spl33_29
<=> n1 = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl33_29])]) ).
fof(f1103,plain,
( ~ spl33_4
| ~ spl33_7
| ~ spl33_18 ),
inference(avatar_contradiction_clause,[],[f1102]) ).
fof(f1102,plain,
( $false
| ~ spl33_4
| ~ spl33_7
| ~ spl33_18 ),
inference(subsumption_resolution,[],[f1101,f440]) ).
fof(f1101,plain,
( init = sF32
| ~ spl33_4
| ~ spl33_7
| ~ spl33_18 ),
inference(forward_demodulation,[],[f1095,f1091]) ).
fof(f1091,plain,
( init = a_select2(rho_init,n0)
| ~ spl33_4
| ~ spl33_7 ),
inference(subsumption_resolution,[],[f1080,f379]) ).
fof(f379,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : leq(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_leq) ).
fof(f1080,plain,
( init = a_select2(rho_init,n0)
| ~ leq(n0,n0)
| ~ spl33_4
| ~ spl33_7 ),
inference(resolution,[],[f467,f486]) ).
fof(f486,plain,
( leq(n0,n4)
| ~ spl33_7 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f485,plain,
( spl33_7
<=> leq(n0,n4) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_7])]) ).
fof(f1095,plain,
( a_select2(rho_init,n0) = sF32
| ~ spl33_18 ),
inference(backward_demodulation,[],[f439,f601]) ).
fof(f601,plain,
( n0 = sK26
| ~ spl33_18 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f599,plain,
( spl33_18
<=> n0 = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl33_18])]) ).
fof(f1090,plain,
( ~ spl33_4
| ~ spl33_7
| ~ spl33_22 ),
inference(avatar_contradiction_clause,[],[f1089]) ).
fof(f1089,plain,
( $false
| ~ spl33_4
| ~ spl33_7
| ~ spl33_22 ),
inference(subsumption_resolution,[],[f1088,f440]) ).
fof(f1088,plain,
( init = sF32
| ~ spl33_4
| ~ spl33_7
| ~ spl33_22 ),
inference(backward_demodulation,[],[f877,f1087]) ).
fof(f1087,plain,
( init = a_select2(rho_init,n4)
| ~ spl33_4
| ~ spl33_7 ),
inference(subsumption_resolution,[],[f1079,f486]) ).
fof(f1079,plain,
( init = a_select2(rho_init,n4)
| ~ leq(n0,n4)
| ~ spl33_4 ),
inference(resolution,[],[f467,f379]) ).
fof(f877,plain,
( a_select2(rho_init,n4) = sF32
| ~ spl33_22 ),
inference(forward_demodulation,[],[f439,f619]) ).
fof(f619,plain,
( n4 = sK26
| ~ spl33_22 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f617,plain,
( spl33_22
<=> n4 = sK26 ),
introduced(avatar_definition,[new_symbols(naming,[spl33_22])]) ).
fof(f1019,plain,
~ spl33_14,
inference(avatar_contradiction_clause,[],[f1018]) ).
fof(f1018,plain,
( $false
| ~ spl33_14 ),
inference(subsumption_resolution,[],[f943,f323]) ).
fof(f323,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f943,plain,
( gt(n0,n0)
| ~ spl33_14 ),
inference(backward_demodulation,[],[f344,f935]) ).
fof(f935,plain,
( n0 = n1
| ~ spl33_14 ),
inference(subsumption_resolution,[],[f932,f502]) ).
fof(f932,plain,
( n0 = n1
| ~ leq(n0,n1)
| ~ spl33_14 ),
inference(resolution,[],[f917,f268]) ).
fof(f268,plain,
! [X0] :
( ~ leq(X0,n0)
| ~ leq(n0,X0)
| n0 = X0 ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ~ leq(X0,n0)
| n0 = X0
| ~ leq(n0,X0) ),
inference(flattening,[],[f141]) ).
fof(f141,plain,
! [X0] :
( n0 = X0
| ~ leq(n0,X0)
| ~ leq(X0,n0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
! [X0] :
( ( leq(n0,X0)
& leq(X0,n0) )
=> n0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_0) ).
fof(f917,plain,
( leq(n1,n0)
| ~ spl33_14 ),
inference(backward_demodulation,[],[f389,f567]) ).
fof(f567,plain,
( n0 = loopcounter
| ~ spl33_14 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f565,plain,
( spl33_14
<=> n0 = loopcounter ),
introduced(avatar_definition,[new_symbols(naming,[spl33_14])]) ).
fof(f389,plain,
leq(n1,loopcounter),
inference(cnf_transformation,[],[f240]) ).
fof(f916,plain,
spl33_23,
inference(avatar_contradiction_clause,[],[f915]) ).
fof(f915,plain,
( $false
| spl33_23 ),
inference(subsumption_resolution,[],[f913,f652]) ).
fof(f652,plain,
( ~ leq(n0,loopcounter)
| spl33_23 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f650,plain,
( spl33_23
<=> leq(n0,loopcounter) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_23])]) ).
fof(f913,plain,
leq(n0,loopcounter),
inference(resolution,[],[f630,f502]) ).
fof(f630,plain,
! [X7] :
( ~ leq(X7,n1)
| leq(X7,loopcounter) ),
inference(resolution,[],[f292,f389]) ).
fof(f292,plain,
! [X2,X0,X1] :
( ~ leq(X2,X0)
| leq(X1,X0)
| ~ leq(X1,X2) ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0,X1,X2] :
( ~ leq(X1,X2)
| leq(X1,X0)
| ~ leq(X2,X0) ),
inference(rectify,[],[f125]) ).
fof(f125,plain,
! [X1,X2,X0] :
( ~ leq(X2,X0)
| leq(X2,X1)
| ~ leq(X0,X1) ),
inference(flattening,[],[f124]) ).
fof(f124,plain,
! [X1,X0,X2] :
( leq(X2,X1)
| ~ leq(X0,X1)
| ~ leq(X2,X0) ),
inference(ennf_transformation,[],[f117]) ).
fof(f117,plain,
! [X1,X0,X2] :
( ( leq(X0,X1)
& leq(X2,X0) )
=> leq(X2,X1) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X2,X0] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_leq) ).
fof(f848,plain,
( spl33_22
| spl33_29
| spl33_45
| spl33_18
| spl33_46 ),
inference(avatar_split_clause,[],[f839,f845,f599,f841,f762,f617]) ).
fof(f839,plain,
( n3 = sK26
| n0 = sK26
| n2 = sK26
| n1 = sK26
| n4 = sK26 ),
inference(subsumption_resolution,[],[f837,f386]) ).
fof(f386,plain,
leq(sK26,n4),
inference(cnf_transformation,[],[f240]) ).
fof(f837,plain,
( n4 = sK26
| n0 = sK26
| n1 = sK26
| ~ leq(sK26,n4)
| n3 = sK26
| n2 = sK26 ),
inference(resolution,[],[f263,f385]) ).
fof(f385,plain,
leq(n0,sK26),
inference(cnf_transformation,[],[f240]) ).
fof(f263,plain,
! [X0] :
( ~ leq(n0,X0)
| n3 = X0
| n4 = X0
| n2 = X0
| n0 = X0
| ~ leq(X0,n4)
| n1 = X0 ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0] :
( n3 = X0
| n4 = X0
| n1 = X0
| ~ leq(X0,n4)
| n0 = X0
| ~ leq(n0,X0)
| n2 = X0 ),
inference(flattening,[],[f154]) ).
fof(f154,plain,
! [X0] :
( n0 = X0
| n3 = X0
| n4 = X0
| n2 = X0
| n1 = X0
| ~ leq(n0,X0)
| ~ leq(X0,n4) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ( leq(n0,X0)
& leq(X0,n4) )
=> ( n0 = X0
| n3 = X0
| n4 = X0
| n2 = X0
| n1 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_4) ).
fof(f653,plain,
( ~ spl33_23
| spl33_14
| ~ spl33_13 ),
inference(avatar_split_clause,[],[f646,f561,f565,f650]) ).
fof(f561,plain,
( spl33_13
<=> gt(n0,loopcounter) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_13])]) ).
fof(f646,plain,
( n0 = loopcounter
| ~ leq(n0,loopcounter)
| ~ spl33_13 ),
inference(resolution,[],[f570,f268]) ).
fof(f570,plain,
( leq(loopcounter,n0)
| ~ spl33_13 ),
inference(resolution,[],[f563,f309]) ).
fof(f563,plain,
( gt(n0,loopcounter)
| ~ spl33_13 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f569,plain,
( spl33_13
| spl33_14
| spl33_1 ),
inference(avatar_split_clause,[],[f556,f442,f565,f561]) ).
fof(f442,plain,
( spl33_1
<=> gt(loopcounter,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl33_1])]) ).
fof(f556,plain,
( n0 = loopcounter
| gt(n0,loopcounter)
| spl33_1 ),
inference(resolution,[],[f267,f444]) ).
fof(f444,plain,
( ~ gt(loopcounter,n0)
| spl33_1 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f267,plain,
! [X0,X1] :
( gt(X0,X1)
| gt(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( X0 = X1
| gt(X0,X1)
| gt(X1,X0) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( gt(X0,X1)
| X0 = X1
| gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality) ).
fof(f530,plain,
spl33_7,
inference(avatar_contradiction_clause,[],[f529]) ).
fof(f529,plain,
( $false
| spl33_7 ),
inference(subsumption_resolution,[],[f511,f487]) ).
fof(f487,plain,
( ~ leq(n0,n4)
| spl33_7 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f511,plain,
leq(n0,n4),
inference(resolution,[],[f309,f318]) ).
fof(f318,plain,
gt(n4,n0),
inference(cnf_transformation,[],[f65]) ).
fof(f65,axiom,
gt(n4,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_4_0) ).
fof(f468,plain,
( ~ spl33_1
| spl33_4 ),
inference(avatar_split_clause,[],[f391,f466,f442]) ).
fof(f391,plain,
! [X0] :
( ~ leq(X0,n4)
| ~ leq(n0,X0)
| ~ gt(loopcounter,n0)
| init = a_select2(rho_init,X0) ),
inference(cnf_transformation,[],[f240]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV182+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 19:07:30 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.49 % (21541)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.49 % (21533)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51 % (21527)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.52 % (21539)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.52 % (21528)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52 % (21530)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (21550)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.18/0.52 % (21551)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.52 % (21542)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.18/0.53 % (21531)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.53 % (21532)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.53 % (21540)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.53 % (21544)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.53 % (21534)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.54 % (21529)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.54 % (21536)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.54 % (21546)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.54 % (21555)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.54 TRYING [1]
% 0.18/0.55 % (21534)Instruction limit reached!
% 0.18/0.55 % (21534)------------------------------
% 0.18/0.55 % (21534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (21534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (21534)Termination reason: Unknown
% 0.18/0.55 % (21534)Termination phase: Function definition elimination
% 0.18/0.55
% 0.18/0.55 % (21534)Memory used [KB]: 1151
% 0.18/0.55 % (21534)Time elapsed: 0.012 s
% 0.18/0.55 % (21534)Instructions burned: 7 (million)
% 0.18/0.55 % (21534)------------------------------
% 0.18/0.55 % (21534)------------------------------
% 0.18/0.55 % (21543)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.57/0.55 % (21554)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.57/0.56 % (21538)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.57/0.56 % (21535)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.57/0.56 TRYING [2]
% 1.57/0.56 % (21535)Instruction limit reached!
% 1.57/0.56 % (21535)------------------------------
% 1.57/0.56 % (21535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.56 % (21535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.56 % (21535)Termination reason: Unknown
% 1.57/0.56 % (21535)Termination phase: shuffling
% 1.57/0.56
% 1.57/0.56 % (21535)Memory used [KB]: 1023
% 1.57/0.56 % (21535)Time elapsed: 0.004 s
% 1.57/0.56 % (21535)Instructions burned: 2 (million)
% 1.57/0.56 % (21535)------------------------------
% 1.57/0.56 % (21535)------------------------------
% 1.57/0.56 % (21548)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.57/0.56 % (21547)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.57/0.57 % (21556)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.57/0.57 % (21533)Instruction limit reached!
% 1.57/0.57 % (21533)------------------------------
% 1.57/0.57 % (21533)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.57 % (21537)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.57/0.57 % (21533)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.57 % (21533)Termination reason: Unknown
% 1.57/0.57 % (21533)Termination phase: Finite model building constraint generation
% 1.57/0.57
% 1.57/0.57 % (21533)Memory used [KB]: 7931
% 1.57/0.57 % (21533)Time elapsed: 0.163 s
% 1.57/0.57 % (21533)Instructions burned: 51 (million)
% 1.57/0.57 % (21533)------------------------------
% 1.57/0.57 % (21533)------------------------------
% 1.57/0.57 % (21549)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.72/0.57 % (21545)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.72/0.58 % (21552)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.72/0.59 % (21553)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.72/0.59 TRYING [1]
% 1.72/0.60 TRYING [2]
% 1.72/0.61 % (21541)Instruction limit reached!
% 1.72/0.61 % (21541)------------------------------
% 1.72/0.61 % (21541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.61 % (21541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.61 % (21541)Termination reason: Unknown
% 1.72/0.61 % (21541)Termination phase: Saturation
% 1.72/0.61
% 1.72/0.61 % (21541)Memory used [KB]: 6908
% 1.72/0.61 % (21541)Time elapsed: 0.062 s
% 1.72/0.61 % (21541)Instructions burned: 68 (million)
% 1.72/0.61 % (21541)------------------------------
% 1.72/0.61 % (21541)------------------------------
% 1.72/0.63 % (21528)Instruction limit reached!
% 1.72/0.63 % (21528)------------------------------
% 1.72/0.63 % (21528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.63 % (21528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.63 % (21528)Termination reason: Unknown
% 1.72/0.63 % (21528)Termination phase: Saturation
% 1.72/0.63
% 1.72/0.63 % (21528)Memory used [KB]: 6268
% 1.72/0.63 % (21528)Time elapsed: 0.217 s
% 1.72/0.63 % (21528)Instructions burned: 50 (million)
% 1.72/0.63 % (21528)------------------------------
% 1.72/0.63 % (21528)------------------------------
% 1.72/0.63 % (21529)Instruction limit reached!
% 1.72/0.63 % (21529)------------------------------
% 1.72/0.63 % (21529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.63 % (21529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.63 % (21529)Termination reason: Unknown
% 1.72/0.63 % (21529)Termination phase: Saturation
% 1.72/0.63
% 1.72/0.63 % (21529)Memory used [KB]: 1663
% 1.72/0.63 % (21529)Time elapsed: 0.236 s
% 1.72/0.63 % (21529)Instructions burned: 38 (million)
% 1.72/0.63 % (21529)------------------------------
% 1.72/0.63 % (21529)------------------------------
% 1.72/0.64 % (21531)First to succeed.
% 1.72/0.65 % (21530)Instruction limit reached!
% 1.72/0.65 % (21530)------------------------------
% 1.72/0.65 % (21530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.65 % (21530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.65 % (21530)Termination reason: Unknown
% 1.72/0.65 % (21530)Termination phase: Saturation
% 1.72/0.65
% 1.72/0.65 % (21530)Memory used [KB]: 6268
% 1.72/0.65 % (21530)Time elapsed: 0.252 s
% 1.72/0.65 % (21530)Instructions burned: 51 (million)
% 1.72/0.65 % (21530)------------------------------
% 1.72/0.65 % (21530)------------------------------
% 2.31/0.66 % (21549)Also succeeded, but the first one will report.
% 2.31/0.66 % (21531)Refutation found. Thanks to Tanya!
% 2.31/0.66 % SZS status Theorem for theBenchmark
% 2.31/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.31/0.66 % (21531)------------------------------
% 2.31/0.66 % (21531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.66 % (21531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.66 % (21531)Termination reason: Refutation
% 2.31/0.66
% 2.31/0.66 % (21531)Memory used [KB]: 6140
% 2.31/0.66 % (21531)Time elapsed: 0.228 s
% 2.31/0.66 % (21531)Instructions burned: 43 (million)
% 2.31/0.66 % (21531)------------------------------
% 2.31/0.66 % (21531)------------------------------
% 2.31/0.66 % (21526)Success in time 0.309 s
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