TSTP Solution File: SWV198+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV198+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 : n012.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 18:55:47 EDT 2022
% Result : Theorem 1.45s 0.60s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 23
% Syntax : Number of formulae : 115 ( 46 unt; 0 def)
% Number of atoms : 517 ( 279 equ)
% Maximal formula atoms : 45 ( 4 avg)
% Number of connectives : 508 ( 106 ~; 101 |; 276 &)
% ( 10 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 43 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 22 con; 0-3 aty)
% Number of variables : 77 ( 69 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1516,plain,
$false,
inference(avatar_sat_refutation,[],[f954,f1009,f1025,f1332,f1399,f1459,f1480,f1505,f1515]) ).
fof(f1515,plain,
( spl64_19
| ~ spl64_25 ),
inference(avatar_contradiction_clause,[],[f1514]) ).
fof(f1514,plain,
( $false
| spl64_19
| ~ spl64_25 ),
inference(subsumption_resolution,[],[f1511,f1004]) ).
fof(f1004,plain,
( ~ leq(sK32,n0)
| spl64_19 ),
inference(avatar_component_clause,[],[f1002]) ).
fof(f1002,plain,
( spl64_19
<=> leq(sK32,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl64_19])]) ).
fof(f1511,plain,
( leq(sK32,n0)
| ~ spl64_25 ),
inference(resolution,[],[f1458,f700]) ).
fof(f700,plain,
! [X1] :
( ~ gt(n1,X1)
| leq(X1,n0) ),
inference(superposition,[],[f434,f618]) ).
fof(f618,plain,
n0 = minus(n1,n1),
inference(superposition,[],[f457,f439]) ).
fof(f439,plain,
n1 = plus(n0,n1),
inference(definition_unfolding,[],[f280,f297]) ).
fof(f297,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] : succ(X0) = plus(X0,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_1_r) ).
fof(f280,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f91]) ).
fof(f91,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(f457,plain,
! [X0] : minus(plus(X0,n1),n1) = X0,
inference(definition_unfolding,[],[f393,f371,f297]) ).
fof(f371,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_minus_1) ).
fof(f393,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_succ) ).
fof(f434,plain,
! [X0,X1] :
( leq(X0,minus(X1,n1))
| ~ gt(X1,X0) ),
inference(definition_unfolding,[],[f272,f371]) ).
fof(f272,plain,
! [X0,X1] :
( leq(X0,pred(X1))
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0,X1] :
( ( leq(X0,pred(X1))
| ~ gt(X1,X0) )
& ( gt(X1,X0)
| ~ leq(X0,pred(X1)) ) ),
inference(rectify,[],[f194]) ).
fof(f194,plain,
! [X1,X0] :
( ( leq(X1,pred(X0))
| ~ gt(X0,X1) )
& ( gt(X0,X1)
| ~ leq(X1,pred(X0)) ) ),
inference(nnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X1,X0] :
( leq(X1,pred(X0))
<=> gt(X0,X1) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1,X0] :
( gt(X1,X0)
<=> leq(X0,pred(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt_pred) ).
fof(f1458,plain,
( gt(n1,sK32)
| ~ spl64_25 ),
inference(avatar_component_clause,[],[f1456]) ).
fof(f1456,plain,
( spl64_25
<=> gt(n1,sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl64_25])]) ).
fof(f1505,plain,
( ~ spl64_8
| ~ spl64_24 ),
inference(avatar_contradiction_clause,[],[f1504]) ).
fof(f1504,plain,
( $false
| ~ spl64_8
| ~ spl64_24 ),
inference(subsumption_resolution,[],[f1503,f517]) ).
fof(f517,plain,
use != sF60,
inference(definition_folding,[],[f402,f516]) ).
fof(f516,plain,
a_select3(u_defuse,sK32,sK31) = sF60,
introduced(function_definition,[]) ).
fof(f402,plain,
use != a_select3(u_defuse,sK32,sK31),
inference(cnf_transformation,[],[f245]) ).
fof(f245,plain,
( leq(pv5,n0)
& leq(pv5,n998)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(rho_defuse,n1)
& use = a_select3(u_defuse,n0,n0)
& ! [X0,X1] :
( ~ leq(X0,n2)
| use = a_select3(z_defuse,X0,X1)
| ~ leq(X1,pred(pv5))
| ~ leq(n0,X1)
| ~ leq(n0,X0) )
& use = a_select2(xinit_defuse,n3)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n0)
& leq(n0,pv5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(rho_defuse,n2)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(rho_defuse,n0)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_mean_defuse,n0)
& use != a_select3(u_defuse,sK32,sK31)
& leq(n0,sK32)
& leq(n0,sK31)
& leq(sK31,pv5)
& leq(sK32,n2)
& ! [X4,X5] :
( ~ leq(X5,pred(pv5))
| ~ leq(X4,n2)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| use = a_select3(u_defuse,X4,X5) )
& use = a_select2(sigma_defuse,n0)
& use = a_select3(u_defuse,n2,n0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31,sK32])],[f243,f244]) ).
fof(f244,plain,
( ? [X2,X3] :
( use != a_select3(u_defuse,X3,X2)
& leq(n0,X3)
& leq(n0,X2)
& leq(X2,pv5)
& leq(X3,n2) )
=> ( use != a_select3(u_defuse,sK32,sK31)
& leq(n0,sK32)
& leq(n0,sK31)
& leq(sK31,pv5)
& leq(sK32,n2) ) ),
introduced(choice_axiom,[]) ).
fof(f243,plain,
( leq(pv5,n0)
& leq(pv5,n998)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(rho_defuse,n1)
& use = a_select3(u_defuse,n0,n0)
& ! [X0,X1] :
( ~ leq(X0,n2)
| use = a_select3(z_defuse,X0,X1)
| ~ leq(X1,pred(pv5))
| ~ leq(n0,X1)
| ~ leq(n0,X0) )
& use = a_select2(xinit_defuse,n3)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n0)
& leq(n0,pv5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(rho_defuse,n2)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(rho_defuse,n0)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_mean_defuse,n0)
& ? [X2,X3] :
( use != a_select3(u_defuse,X3,X2)
& leq(n0,X3)
& leq(n0,X2)
& leq(X2,pv5)
& leq(X3,n2) )
& ! [X4,X5] :
( ~ leq(X5,pred(pv5))
| ~ leq(X4,n2)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| use = a_select3(u_defuse,X4,X5) )
& use = a_select2(sigma_defuse,n0)
& use = a_select3(u_defuse,n2,n0) ),
inference(rectify,[],[f163]) ).
fof(f163,plain,
( leq(pv5,n0)
& leq(pv5,n998)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(rho_defuse,n1)
& use = a_select3(u_defuse,n0,n0)
& ! [X0,X1] :
( ~ leq(X0,n2)
| use = a_select3(z_defuse,X0,X1)
| ~ leq(X1,pred(pv5))
| ~ leq(n0,X1)
| ~ leq(n0,X0) )
& use = a_select2(xinit_defuse,n3)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n0)
& leq(n0,pv5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(rho_defuse,n2)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(rho_defuse,n0)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_mean_defuse,n0)
& ? [X5,X4] :
( use != a_select3(u_defuse,X4,X5)
& leq(n0,X4)
& leq(n0,X5)
& leq(X5,pv5)
& leq(X4,n2) )
& ! [X3,X2] :
( ~ leq(X2,pred(pv5))
| ~ leq(X3,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| use = a_select3(u_defuse,X3,X2) )
& use = a_select2(sigma_defuse,n0)
& use = a_select3(u_defuse,n2,n0) ),
inference(flattening,[],[f162]) ).
fof(f162,plain,
( ? [X4,X5] :
( use != a_select3(u_defuse,X4,X5)
& leq(n0,X5)
& leq(X5,pv5)
& leq(n0,X4)
& leq(X4,n2) )
& use = a_select2(sigma_defuse,n1)
& ! [X1,X0] :
( use = a_select3(z_defuse,X0,X1)
| ~ leq(n0,X0)
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(X1,pred(pv5)) )
& leq(n0,pv5)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n0)
& ! [X2,X3] :
( use = a_select3(u_defuse,X3,X2)
| ~ leq(n0,X3)
| ~ leq(X3,n2)
| ~ leq(X2,pred(pv5))
| ~ leq(n0,X2) )
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select3(u_defuse,n1,n0)
& leq(pv5,n0)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(xinit_defuse,n3)
& leq(pv5,n998)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select3(u_defuse,n0,n0) ),
inference(ennf_transformation,[],[f117]) ).
fof(f117,plain,
~ ( ( use = a_select2(sigma_defuse,n1)
& ! [X1,X0] :
( ( leq(n0,X0)
& leq(X0,n2)
& leq(n0,X1)
& leq(X1,pred(pv5)) )
=> use = a_select3(z_defuse,X0,X1) )
& leq(n0,pv5)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n0)
& ! [X2,X3] :
( ( leq(n0,X3)
& leq(X3,n2)
& leq(X2,pred(pv5))
& leq(n0,X2) )
=> use = a_select3(u_defuse,X3,X2) )
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select3(u_defuse,n1,n0)
& leq(pv5,n0)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(xinit_defuse,n3)
& leq(pv5,n998)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select3(u_defuse,n0,n0) )
=> ! [X4,X5] :
( ( leq(n0,X5)
& leq(X5,pv5)
& leq(n0,X4)
& leq(X4,n2) )
=> use = a_select3(u_defuse,X4,X5) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& ! [X3,X19] :
( ( leq(X19,pred(pv5))
& leq(n0,X19)
& leq(X3,n2)
& leq(n0,X3) )
=> use = a_select3(z_defuse,X3,X19) )
& use = a_select2(sigma_defuse,n4)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(xinit_defuse,n4)
& leq(n0,pv5)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(xinit_noise_defuse,n2)
& leq(pv5,n0)
& leq(pv5,n998)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_defuse,n3)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n3)
& use = a_select3(u_defuse,n0,n0)
& ! [X17,X13] :
( ( leq(n0,X13)
& leq(X13,n2)
& leq(X17,pred(pv5))
& leq(n0,X17) )
=> use = a_select3(u_defuse,X13,X17) )
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(rho_defuse,n0)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n0) )
=> ! [X20,X21] :
( ( leq(X20,n2)
& leq(n0,X20)
& leq(X21,pv5)
& leq(n0,X21) )
=> use = a_select3(u_defuse,X20,X21) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& ! [X3,X19] :
( ( leq(X19,pred(pv5))
& leq(n0,X19)
& leq(X3,n2)
& leq(n0,X3) )
=> use = a_select3(z_defuse,X3,X19) )
& use = a_select2(sigma_defuse,n4)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(xinit_defuse,n4)
& leq(n0,pv5)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(xinit_noise_defuse,n2)
& leq(pv5,n0)
& leq(pv5,n998)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_defuse,n3)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n3)
& use = a_select3(u_defuse,n0,n0)
& ! [X17,X13] :
( ( leq(n0,X13)
& leq(X13,n2)
& leq(X17,pred(pv5))
& leq(n0,X17) )
=> use = a_select3(u_defuse,X13,X17) )
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(rho_defuse,n0)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n0) )
=> ! [X20,X21] :
( ( leq(X20,n2)
& leq(n0,X20)
& leq(X21,pv5)
& leq(n0,X21) )
=> use = a_select3(u_defuse,X20,X21) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0009) ).
fof(f1503,plain,
( use = sF60
| ~ spl64_8
| ~ spl64_24 ),
inference(forward_demodulation,[],[f1502,f898]) ).
fof(f898,plain,
use = sF61(n1,n0),
inference(superposition,[],[f537,f518]) ).
fof(f518,plain,
! [X4,X5] : sF61(X4,X5) = a_select3(u_defuse,X4,X5),
introduced(function_definition,[]) ).
fof(f537,plain,
use = a_select3(u_defuse,n1,n0),
inference(forward_demodulation,[],[f508,f509]) ).
fof(f509,plain,
use = sF56,
inference(definition_folding,[],[f406,f508]) ).
fof(f406,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f245]) ).
fof(f508,plain,
a_select3(u_defuse,n1,n0) = sF56,
introduced(function_definition,[]) ).
fof(f1502,plain,
( sF60 = sF61(n1,n0)
| ~ spl64_8
| ~ spl64_24 ),
inference(forward_demodulation,[],[f1488,f953]) ).
fof(f953,plain,
( n0 = sK31
| ~ spl64_8 ),
inference(avatar_component_clause,[],[f951]) ).
fof(f951,plain,
( spl64_8
<=> n0 = sK31 ),
introduced(avatar_definition,[new_symbols(naming,[spl64_8])]) ).
fof(f1488,plain,
( sF60 = sF61(n1,sK31)
| ~ spl64_24 ),
inference(superposition,[],[f900,f1454]) ).
fof(f1454,plain,
( n1 = sK32
| ~ spl64_24 ),
inference(avatar_component_clause,[],[f1452]) ).
fof(f1452,plain,
( spl64_24
<=> n1 = sK32 ),
introduced(avatar_definition,[new_symbols(naming,[spl64_24])]) ).
fof(f900,plain,
sF61(sK32,sK31) = sF60,
inference(superposition,[],[f516,f518]) ).
fof(f1480,plain,
( ~ spl64_8
| ~ spl64_22 ),
inference(avatar_contradiction_clause,[],[f1479]) ).
fof(f1479,plain,
( $false
| ~ spl64_8
| ~ spl64_22 ),
inference(subsumption_resolution,[],[f1478,f517]) ).
fof(f1478,plain,
( use = sF60
| ~ spl64_8
| ~ spl64_22 ),
inference(forward_demodulation,[],[f1477,f901]) ).
fof(f901,plain,
use = sF61(n2,n0),
inference(forward_demodulation,[],[f895,f523]) ).
fof(f523,plain,
use = sF63,
inference(definition_folding,[],[f395,f522]) ).
fof(f522,plain,
a_select3(u_defuse,n2,n0) = sF63,
introduced(function_definition,[]) ).
fof(f395,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f245]) ).
fof(f895,plain,
sF63 = sF61(n2,n0),
inference(superposition,[],[f518,f522]) ).
fof(f1477,plain,
( sF60 = sF61(n2,n0)
| ~ spl64_8
| ~ spl64_22 ),
inference(forward_demodulation,[],[f1467,f953]) ).
fof(f1467,plain,
( sF60 = sF61(n2,sK31)
| ~ spl64_22 ),
inference(superposition,[],[f900,f1331]) ).
fof(f1331,plain,
( n2 = sK32
| ~ spl64_22 ),
inference(avatar_component_clause,[],[f1329]) ).
fof(f1329,plain,
( spl64_22
<=> n2 = sK32 ),
introduced(avatar_definition,[new_symbols(naming,[spl64_22])]) ).
fof(f1459,plain,
( spl64_24
| spl64_25
| ~ spl64_21 ),
inference(avatar_split_clause,[],[f1449,f1325,f1456,f1452]) ).
fof(f1325,plain,
( spl64_21
<=> gt(n2,sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl64_21])]) ).
fof(f1449,plain,
( gt(n1,sK32)
| n1 = sK32
| ~ spl64_21 ),
inference(resolution,[],[f1444,f392]) ).
fof(f392,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| X0 = X1
| gt(X1,X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X0,X1)
| gt(X1,X0) ),
inference(flattening,[],[f148]) ).
fof(f148,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ( leq(X0,X1)
& X0 != X1 )
=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt2) ).
fof(f1444,plain,
( leq(sK32,n1)
| ~ spl64_21 ),
inference(resolution,[],[f1327,f703]) ).
fof(f703,plain,
! [X6] :
( ~ gt(n2,X6)
| leq(X6,n1) ),
inference(superposition,[],[f434,f626]) ).
fof(f626,plain,
n1 = minus(n2,n1),
inference(forward_demodulation,[],[f621,f439]) ).
fof(f621,plain,
plus(n0,n1) = minus(n2,n1),
inference(superposition,[],[f457,f445]) ).
fof(f445,plain,
n2 = plus(plus(n0,n1),n1),
inference(definition_unfolding,[],[f299,f297,f297]) ).
fof(f299,plain,
n2 = succ(succ(n0)),
inference(cnf_transformation,[],[f92]) ).
fof(f92,axiom,
n2 = succ(succ(n0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2) ).
fof(f1327,plain,
( gt(n2,sK32)
| ~ spl64_21 ),
inference(avatar_component_clause,[],[f1325]) ).
fof(f1399,plain,
( ~ spl64_8
| ~ spl64_20 ),
inference(avatar_contradiction_clause,[],[f1398]) ).
fof(f1398,plain,
( $false
| ~ spl64_8
| ~ spl64_20 ),
inference(subsumption_resolution,[],[f1397,f517]) ).
fof(f1397,plain,
( use = sF60
| ~ spl64_8
| ~ spl64_20 ),
inference(forward_demodulation,[],[f1396,f893]) ).
fof(f893,plain,
use = sF61(n0,n0),
inference(superposition,[],[f518,f527]) ).
fof(f527,plain,
use = a_select3(u_defuse,n0,n0),
inference(forward_demodulation,[],[f473,f474]) ).
fof(f474,plain,
use = sF38,
inference(definition_folding,[],[f424,f473]) ).
fof(f424,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f245]) ).
fof(f473,plain,
a_select3(u_defuse,n0,n0) = sF38,
introduced(function_definition,[]) ).
fof(f1396,plain,
( sF60 = sF61(n0,n0)
| ~ spl64_8
| ~ spl64_20 ),
inference(forward_demodulation,[],[f1384,f953]) ).
fof(f1384,plain,
( sF60 = sF61(n0,sK31)
| ~ spl64_20 ),
inference(superposition,[],[f900,f1008]) ).
fof(f1008,plain,
( n0 = sK32
| ~ spl64_20 ),
inference(avatar_component_clause,[],[f1006]) ).
fof(f1006,plain,
( spl64_20
<=> n0 = sK32 ),
introduced(avatar_definition,[new_symbols(naming,[spl64_20])]) ).
fof(f1332,plain,
( spl64_21
| spl64_22 ),
inference(avatar_split_clause,[],[f1320,f1329,f1325]) ).
fof(f1320,plain,
( n2 = sK32
| gt(n2,sK32) ),
inference(resolution,[],[f392,f398]) ).
fof(f398,plain,
leq(sK32,n2),
inference(cnf_transformation,[],[f245]) ).
fof(f1025,plain,
spl64_7,
inference(avatar_contradiction_clause,[],[f1024]) ).
fof(f1024,plain,
( $false
| spl64_7 ),
inference(subsumption_resolution,[],[f1010,f949]) ).
fof(f949,plain,
( ~ leq(sK31,n0)
| spl64_7 ),
inference(avatar_component_clause,[],[f947]) ).
fof(f947,plain,
( spl64_7
<=> leq(sK31,n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl64_7])]) ).
fof(f1010,plain,
leq(sK31,n0),
inference(superposition,[],[f399,f927]) ).
fof(f927,plain,
n0 = pv5,
inference(subsumption_resolution,[],[f909,f431]) ).
fof(f431,plain,
leq(pv5,n0),
inference(cnf_transformation,[],[f245]) ).
fof(f909,plain,
( ~ leq(pv5,n0)
| n0 = pv5 ),
inference(resolution,[],[f307,f412]) ).
fof(f412,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f245]) ).
fof(f307,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n0)
| n0 = X0 ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( ~ leq(X0,n0)
| n0 = X0
| ~ leq(n0,X0) ),
inference(flattening,[],[f144]) ).
fof(f144,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
! [X0] :
( ( leq(X0,n0)
& leq(n0,X0) )
=> n0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_0) ).
fof(f399,plain,
leq(sK31,pv5),
inference(cnf_transformation,[],[f245]) ).
fof(f1009,plain,
( ~ spl64_19
| spl64_20 ),
inference(avatar_split_clause,[],[f920,f1006,f1002]) ).
fof(f920,plain,
( n0 = sK32
| ~ leq(sK32,n0) ),
inference(resolution,[],[f307,f401]) ).
fof(f401,plain,
leq(n0,sK32),
inference(cnf_transformation,[],[f245]) ).
fof(f954,plain,
( ~ spl64_7
| spl64_8 ),
inference(avatar_split_clause,[],[f919,f951,f947]) ).
fof(f919,plain,
( n0 = sK31
| ~ leq(sK31,n0) ),
inference(resolution,[],[f307,f400]) ).
fof(f400,plain,
leq(n0,sK31),
inference(cnf_transformation,[],[f245]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV198+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 19:05:05 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.49 % (19093)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)
% 0.21/0.50 % (19092)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.50 % (19107)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.51 % (19099)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.28/0.52 % (19094)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.28/0.52 % (19085)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)
% 1.28/0.53 % (19095)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.28/0.53 % (19083)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)
% 1.45/0.54 % (19084)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)
% 1.45/0.54 % (19082)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)
% 1.45/0.54 % (19108)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)
% 1.45/0.54 % (19086)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.45/0.54 % (19087)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)
% 1.45/0.54 % (19102)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)
% 1.45/0.54 % (19100)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.45/0.55 % (19106)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.45/0.55 % (19098)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)
% 1.45/0.55 % (19089)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.45/0.55 % (19111)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)
% 1.45/0.55 % (19104)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)
% 1.45/0.56 % (19105)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)
% 1.45/0.56 % (19109)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)
% 1.45/0.56 % (19096)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)
% 1.45/0.56 % (19103)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.45/0.56 % (19090)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.45/0.56 % (19090)Instruction limit reached!
% 1.45/0.56 % (19090)------------------------------
% 1.45/0.56 % (19090)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.56 % (19090)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.56 % (19090)Termination reason: Unknown
% 1.45/0.56 % (19090)Termination phase: Preprocessing 3
% 1.45/0.56
% 1.45/0.56 % (19090)Memory used [KB]: 1023
% 1.45/0.56 % (19090)Time elapsed: 0.003 s
% 1.45/0.56 % (19090)Instructions burned: 3 (million)
% 1.45/0.56 % (19090)------------------------------
% 1.45/0.56 % (19090)------------------------------
% 1.45/0.57 % (19091)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)
% 1.45/0.57 % (19110)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.45/0.57 % (19097)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)
% 1.45/0.57 % (19088)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)
% 1.45/0.58 % (19089)Instruction limit reached!
% 1.45/0.58 % (19089)------------------------------
% 1.45/0.58 % (19089)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.58 % (19089)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.58 % (19089)Termination reason: Unknown
% 1.45/0.58 % (19089)Termination phase: Equality resolution with deletion
% 1.45/0.58
% 1.45/0.58 % (19089)Memory used [KB]: 1151
% 1.45/0.58 % (19089)Time elapsed: 0.005 s
% 1.45/0.58 % (19089)Instructions burned: 8 (million)
% 1.45/0.58 % (19089)------------------------------
% 1.45/0.58 % (19089)------------------------------
% 1.45/0.58 % (19101)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)
% 1.45/0.59 % (19099)Instruction limit reached!
% 1.45/0.59 % (19099)------------------------------
% 1.45/0.59 % (19099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.59 % (19107)First to succeed.
% 1.45/0.60 % (19107)Refutation found. Thanks to Tanya!
% 1.45/0.60 % SZS status Theorem for theBenchmark
% 1.45/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.45/0.60 % (19107)------------------------------
% 1.45/0.60 % (19107)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.60 % (19107)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.60 % (19107)Termination reason: Refutation
% 1.45/0.60
% 1.45/0.60 % (19107)Memory used [KB]: 6396
% 1.45/0.60 % (19107)Time elapsed: 0.185 s
% 1.45/0.60 % (19107)Instructions burned: 48 (million)
% 1.45/0.60 % (19107)------------------------------
% 1.45/0.60 % (19107)------------------------------
% 1.45/0.60 % (19081)Success in time 0.243 s
%------------------------------------------------------------------------------