TSTP Solution File: SWV203+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV203+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 : n008.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 18:55:48 EDT 2022
% Result : Theorem 0.18s 0.68s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 11
% Syntax : Number of formulae : 88 ( 31 unt; 0 def)
% Number of atoms : 554 ( 335 equ)
% Maximal formula atoms : 51 ( 6 avg)
% Number of connectives : 646 ( 180 ~; 135 |; 311 &)
% ( 2 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 18 con; 0-3 aty)
% Number of variables : 93 ( 85 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1019,plain,
$false,
inference(subsumption_resolution,[],[f1018,f994]) ).
fof(f994,plain,
leq(sK11,n0),
inference(forward_demodulation,[],[f992,f506]) ).
fof(f506,plain,
n0 = minus(n1,n1),
inference(superposition,[],[f438,f441]) ).
fof(f441,plain,
n1 = plus(n1,n0),
inference(definition_unfolding,[],[f263,f369]) ).
fof(f369,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] : succ(X0) = plus(n1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_plus_1_l) ).
fof(f263,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f91]) ).
fof(f91,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).
fof(f438,plain,
! [X0] : minus(plus(n1,X0),n1) = X0,
inference(definition_unfolding,[],[f249,f433,f369]) ).
fof(f433,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred_minus_1) ).
fof(f249,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred_succ) ).
fof(f992,plain,
leq(sK11,minus(n1,n1)),
inference(resolution,[],[f991,f442]) ).
fof(f442,plain,
! [X0,X1] :
( ~ gt(X0,X1)
| leq(X1,minus(X0,n1)) ),
inference(definition_unfolding,[],[f271,f433]) ).
fof(f271,plain,
! [X0,X1] :
( leq(X1,pred(X0))
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0,X1] :
( ( leq(X1,pred(X0))
| ~ gt(X0,X1) )
& ( gt(X0,X1)
| ~ leq(X1,pred(X0)) ) ),
inference(rectify,[],[f190]) ).
fof(f190,plain,
! [X1,X0] :
( ( leq(X0,pred(X1))
| ~ gt(X1,X0) )
& ( gt(X1,X0)
| ~ leq(X0,pred(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X1,X0] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_gt_pred) ).
fof(f991,plain,
gt(n1,sK11),
inference(subsumption_resolution,[],[f916,f977]) ).
fof(f977,plain,
leq(sK11,n1),
inference(resolution,[],[f976,f464]) ).
fof(f464,plain,
! [X0,X1] :
( ~ gt(plus(n1,X0),X1)
| leq(X1,X0) ),
inference(definition_unfolding,[],[f437,f369]) ).
fof(f437,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ gt(succ(X0),X1) ),
inference(cnf_transformation,[],[f246]) ).
fof(f246,plain,
! [X0,X1] :
( ( leq(X1,X0)
| ~ gt(succ(X0),X1) )
& ( gt(succ(X0),X1)
| ~ leq(X1,X0) ) ),
inference(rectify,[],[f245]) ).
fof(f245,plain,
! [X1,X0] :
( ( leq(X0,X1)
| ~ gt(succ(X1),X0) )
& ( gt(succ(X1),X0)
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X1,X0] :
( leq(X0,X1)
<=> gt(succ(X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_succ_gt_equiv) ).
fof(f976,plain,
gt(plus(n1,n1),sK11),
inference(subsumption_resolution,[],[f975,f512]) ).
fof(f512,plain,
leq(sK11,plus(n1,n1)),
inference(backward_demodulation,[],[f294,f509]) ).
fof(f509,plain,
n2 = plus(n1,n1),
inference(forward_demodulation,[],[f452,f441]) ).
fof(f452,plain,
n2 = plus(n1,plus(n1,n0)),
inference(definition_unfolding,[],[f366,f369,f369]) ).
fof(f366,plain,
n2 = succ(succ(n0)),
inference(cnf_transformation,[],[f92]) ).
fof(f92,axiom,
n2 = succ(succ(n0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_2) ).
fof(f294,plain,
leq(sK11,n2),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
( gt(pv5,n0)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(rho_defuse,n2)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& ! [X0,X1] :
( ~ leq(X0,pred(pv5))
| ~ leq(n0,X1)
| use = a_select3(u_defuse,X1,X0)
| ~ leq(X1,n2)
| ~ leq(n0,X0) )
& ! [X2,X3] :
( ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,pred(pv5))
| use = a_select3(z_defuse,X3,X2)
| ~ leq(X3,n2) )
& leq(n0,sK12)
& use != a_select3(z_defuse,sK11,sK12)
& ( n1 != sK11
| pv5 != sK12 )
& ( pv5 != sK12
| n0 != sK11 )
& leq(n0,sK11)
& ( n2 != sK11
| pv5 != sK12 )
& leq(sK11,n2)
& leq(sK12,pv5)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(rho_defuse,n0)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(sigma_defuse,n1)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(sigma_defuse,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(rho_defuse,n1)
& leq(n0,pv5)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n4)
& leq(pv5,n998) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f195,f196]) ).
fof(f196,plain,
( ? [X4,X5] :
( leq(n0,X5)
& use != a_select3(z_defuse,X4,X5)
& ( n1 != X4
| pv5 != X5 )
& ( pv5 != X5
| n0 != X4 )
& leq(n0,X4)
& ( n2 != X4
| pv5 != X5 )
& leq(X4,n2)
& leq(X5,pv5) )
=> ( leq(n0,sK12)
& use != a_select3(z_defuse,sK11,sK12)
& ( n1 != sK11
| pv5 != sK12 )
& ( pv5 != sK12
| n0 != sK11 )
& leq(n0,sK11)
& ( n2 != sK11
| pv5 != sK12 )
& leq(sK11,n2)
& leq(sK12,pv5) ) ),
introduced(choice_axiom,[]) ).
fof(f195,plain,
( gt(pv5,n0)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(rho_defuse,n2)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& ! [X0,X1] :
( ~ leq(X0,pred(pv5))
| ~ leq(n0,X1)
| use = a_select3(u_defuse,X1,X0)
| ~ leq(X1,n2)
| ~ leq(n0,X0) )
& ! [X2,X3] :
( ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,pred(pv5))
| use = a_select3(z_defuse,X3,X2)
| ~ leq(X3,n2) )
& ? [X4,X5] :
( leq(n0,X5)
& use != a_select3(z_defuse,X4,X5)
& ( n1 != X4
| pv5 != X5 )
& ( pv5 != X5
| n0 != X4 )
& leq(n0,X4)
& ( n2 != X4
| pv5 != X5 )
& leq(X4,n2)
& leq(X5,pv5) )
& use = a_select2(sigma_defuse,n2)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(rho_defuse,n0)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(sigma_defuse,n1)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(sigma_defuse,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(rho_defuse,n1)
& leq(n0,pv5)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n4)
& leq(pv5,n998) ),
inference(rectify,[],[f131]) ).
fof(f131,plain,
( gt(pv5,n0)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(rho_defuse,n2)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& ! [X2,X3] :
( ~ leq(X2,pred(pv5))
| ~ leq(n0,X3)
| use = a_select3(u_defuse,X3,X2)
| ~ leq(X3,n2)
| ~ leq(n0,X2) )
& ! [X1,X0] :
( ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,pred(pv5))
| use = a_select3(z_defuse,X0,X1)
| ~ leq(X0,n2) )
& ? [X4,X5] :
( leq(n0,X5)
& use != a_select3(z_defuse,X4,X5)
& ( n1 != X4
| pv5 != X5 )
& ( pv5 != X5
| n0 != X4 )
& leq(n0,X4)
& ( n2 != X4
| pv5 != X5 )
& leq(X4,n2)
& leq(X5,pv5) )
& use = a_select2(sigma_defuse,n2)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(rho_defuse,n0)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(sigma_defuse,n1)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(sigma_defuse,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(rho_defuse,n1)
& leq(n0,pv5)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n4)
& leq(pv5,n998) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
( ? [X5,X4] :
( use != a_select3(z_defuse,X4,X5)
& ( n2 != X4
| pv5 != X5 )
& ( n1 != X4
| pv5 != X5 )
& ( pv5 != X5
| n0 != X4 )
& leq(n0,X4)
& leq(X5,pv5)
& leq(X4,n2)
& leq(n0,X5) )
& use = a_select2(sigma_defuse,n3)
& use = a_select2(rho_defuse,n0)
& use = a_select2(xinit_mean_defuse,n0)
& leq(n0,pv5)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(xinit_defuse,n3)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(rho_defuse,n2)
& use = a_select2(sigma_defuse,n4)
& ! [X0,X1] :
( use = a_select3(z_defuse,X0,X1)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X1,pred(pv5))
| ~ leq(X0,n2) )
& use = a_select2(sigma_defuse,n0)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(xinit_defuse,n5)
& leq(pv5,n998)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select3(u_defuse,n2,n0)
& gt(pv5,n0)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n5)
& ! [X3,X2] :
( use = a_select3(u_defuse,X3,X2)
| ~ leq(X3,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2)
| ~ leq(X2,pred(pv5)) )
& use = a_select2(rho_defuse,n1) ),
inference(ennf_transformation,[],[f110]) ).
fof(f110,plain,
~ ( ( use = a_select2(sigma_defuse,n3)
& use = a_select2(rho_defuse,n0)
& use = a_select2(xinit_mean_defuse,n0)
& leq(n0,pv5)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(xinit_defuse,n3)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(rho_defuse,n2)
& use = a_select2(sigma_defuse,n4)
& ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X1,pred(pv5))
& leq(X0,n2) )
=> use = a_select3(z_defuse,X0,X1) )
& use = a_select2(sigma_defuse,n0)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(xinit_defuse,n5)
& leq(pv5,n998)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select3(u_defuse,n2,n0)
& gt(pv5,n0)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n5)
& ! [X3,X2] :
( ( leq(X3,n2)
& leq(n0,X3)
& leq(n0,X2)
& leq(X2,pred(pv5)) )
=> use = a_select3(u_defuse,X3,X2) )
& use = a_select2(rho_defuse,n1) )
=> ! [X5,X4] :
( ( leq(n0,X4)
& leq(X5,pv5)
& leq(X4,n2)
& leq(n0,X5) )
=> ( ( ~ ( n2 = X4
& pv5 = X5 )
& ~ ( n1 = X4
& pv5 = X5 )
& ~ ( pv5 = X5
& n0 = X4 ) )
=> use = a_select3(z_defuse,X4,X5) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(rho_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(xinit_defuse,n5)
& leq(pv5,n998)
& use = a_select2(rho_defuse,n1)
& ! [X3,X19] :
( ( leq(X19,pred(pv5))
& leq(n0,X19)
& leq(n0,X3)
& leq(X3,n2) )
=> use = a_select3(z_defuse,X3,X19) )
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_noise_defuse,n0)
& leq(n0,pv5)
& use = a_select2(xinit_defuse,n3)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(sigma_defuse,n5)
& gt(pv5,n0)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_mean_defuse,n0)
& ! [X17,X13] :
( ( leq(X17,pred(pv5))
& leq(n0,X17)
& leq(n0,X13)
& leq(X13,n2) )
=> use = a_select3(u_defuse,X13,X17) )
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(xinit_noise_defuse,n2) )
=> ! [X20,X21] :
( ( leq(X21,pv5)
& leq(X20,n2)
& leq(n0,X20)
& leq(n0,X21) )
=> ( ( ~ ( n0 = X20
& pv5 = X21 )
& ~ ( pv5 = X21
& n2 = X20 )
& ~ ( pv5 = X21
& n1 = X20 ) )
=> use = a_select3(z_defuse,X20,X21) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(rho_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(xinit_defuse,n5)
& leq(pv5,n998)
& use = a_select2(rho_defuse,n1)
& ! [X3,X19] :
( ( leq(X19,pred(pv5))
& leq(n0,X19)
& leq(n0,X3)
& leq(X3,n2) )
=> use = a_select3(z_defuse,X3,X19) )
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select3(u_defuse,n1,n0)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_noise_defuse,n0)
& leq(n0,pv5)
& use = a_select2(xinit_defuse,n3)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(sigma_defuse,n5)
& gt(pv5,n0)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_mean_defuse,n0)
& ! [X17,X13] :
( ( leq(X17,pred(pv5))
& leq(n0,X17)
& leq(n0,X13)
& leq(X13,n2) )
=> use = a_select3(u_defuse,X13,X17) )
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select3(u_defuse,n2,n0)
& use = a_select2(xinit_noise_defuse,n2) )
=> ! [X20,X21] :
( ( leq(X21,pv5)
& leq(X20,n2)
& leq(n0,X20)
& leq(n0,X21) )
=> ( ( ~ ( n0 = X20
& pv5 = X21 )
& ~ ( pv5 = X21
& n2 = X20 )
& ~ ( pv5 = X21
& n1 = X20 ) )
=> use = a_select3(z_defuse,X20,X21) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0014) ).
fof(f975,plain,
( gt(plus(n1,n1),sK11)
| ~ leq(sK11,plus(n1,n1)) ),
inference(extensionality_resolution,[],[f272,f965]) ).
fof(f965,plain,
plus(n1,n1) != sK11,
inference(subsumption_resolution,[],[f964,f296]) ).
fof(f296,plain,
leq(n0,sK11),
inference(cnf_transformation,[],[f197]) ).
fof(f964,plain,
( plus(n1,n1) != sK11
| ~ leq(n0,sK11) ),
inference(subsumption_resolution,[],[f962,f299]) ).
fof(f299,plain,
use != a_select3(z_defuse,sK11,sK12),
inference(cnf_transformation,[],[f197]) ).
fof(f962,plain,
( plus(n1,n1) != sK11
| use = a_select3(z_defuse,sK11,sK12)
| ~ leq(n0,sK11) ),
inference(resolution,[],[f887,f512]) ).
fof(f887,plain,
! [X0] :
( ~ leq(X0,plus(n1,n1))
| ~ leq(n0,X0)
| plus(n1,n1) != sK11
| use = a_select3(z_defuse,X0,sK12) ),
inference(subsumption_resolution,[],[f884,f300]) ).
fof(f300,plain,
leq(n0,sK12),
inference(cnf_transformation,[],[f197]) ).
fof(f884,plain,
! [X0] :
( plus(n1,n1) != sK11
| use = a_select3(z_defuse,X0,sK12)
| ~ leq(X0,plus(n1,n1))
| ~ leq(n0,X0)
| ~ leq(n0,sK12) ),
inference(resolution,[],[f866,f525]) ).
fof(f525,plain,
! [X2,X3] :
( ~ leq(X2,minus(pv5,n1))
| ~ leq(n0,X2)
| ~ leq(X3,plus(n1,n1))
| use = a_select3(z_defuse,X3,X2)
| ~ leq(n0,X3) ),
inference(backward_demodulation,[],[f446,f509]) ).
fof(f446,plain,
! [X2,X3] :
( ~ leq(X2,minus(pv5,n1))
| ~ leq(n0,X3)
| ~ leq(X3,n2)
| ~ leq(n0,X2)
| use = a_select3(z_defuse,X3,X2) ),
inference(definition_unfolding,[],[f301,f433]) ).
fof(f301,plain,
! [X2,X3] :
( ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,pred(pv5))
| use = a_select3(z_defuse,X3,X2)
| ~ leq(X3,n2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f866,plain,
( leq(sK12,minus(pv5,n1))
| plus(n1,n1) != sK11 ),
inference(resolution,[],[f860,f442]) ).
fof(f860,plain,
( gt(pv5,sK12)
| plus(n1,n1) != sK11 ),
inference(subsumption_resolution,[],[f846,f293]) ).
fof(f293,plain,
leq(sK12,pv5),
inference(cnf_transformation,[],[f197]) ).
fof(f846,plain,
( plus(n1,n1) != sK11
| gt(pv5,sK12)
| ~ leq(sK12,pv5) ),
inference(extensionality_resolution,[],[f272,f513]) ).
fof(f513,plain,
( pv5 != sK12
| plus(n1,n1) != sK11 ),
inference(backward_demodulation,[],[f295,f509]) ).
fof(f295,plain,
( pv5 != sK12
| n2 != sK11 ),
inference(cnf_transformation,[],[f197]) ).
fof(f272,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f168]) ).
fof(f168,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/sandbox/benchmark/theBenchmark.p',leq_gt2) ).
fof(f916,plain,
( ~ leq(sK11,n1)
| gt(n1,sK11) ),
inference(extensionality_resolution,[],[f272,f899]) ).
fof(f899,plain,
n1 != sK11,
inference(subsumption_resolution,[],[f898,f296]) ).
fof(f898,plain,
( n1 != sK11
| ~ leq(n0,sK11) ),
inference(subsumption_resolution,[],[f896,f299]) ).
fof(f896,plain,
( n1 != sK11
| use = a_select3(z_defuse,sK11,sK12)
| ~ leq(n0,sK11) ),
inference(resolution,[],[f874,f512]) ).
fof(f874,plain,
! [X0] :
( ~ leq(X0,plus(n1,n1))
| ~ leq(n0,X0)
| n1 != sK11
| use = a_select3(z_defuse,X0,sK12) ),
inference(subsumption_resolution,[],[f872,f300]) ).
fof(f872,plain,
! [X0] :
( use = a_select3(z_defuse,X0,sK12)
| n1 != sK11
| ~ leq(n0,X0)
| ~ leq(n0,sK12)
| ~ leq(X0,plus(n1,n1)) ),
inference(resolution,[],[f862,f525]) ).
fof(f862,plain,
( leq(sK12,minus(pv5,n1))
| n1 != sK11 ),
inference(resolution,[],[f859,f442]) ).
fof(f859,plain,
( gt(pv5,sK12)
| n1 != sK11 ),
inference(subsumption_resolution,[],[f848,f293]) ).
fof(f848,plain,
( n1 != sK11
| gt(pv5,sK12)
| ~ leq(sK12,pv5) ),
inference(extensionality_resolution,[],[f272,f298]) ).
fof(f298,plain,
( pv5 != sK12
| n1 != sK11 ),
inference(cnf_transformation,[],[f197]) ).
fof(f1018,plain,
~ leq(sK11,n0),
inference(subsumption_resolution,[],[f1011,f943]) ).
fof(f943,plain,
n0 != sK11,
inference(subsumption_resolution,[],[f942,f296]) ).
fof(f942,plain,
( n0 != sK11
| ~ leq(n0,sK11) ),
inference(subsumption_resolution,[],[f937,f299]) ).
fof(f937,plain,
( n0 != sK11
| use = a_select3(z_defuse,sK11,sK12)
| ~ leq(n0,sK11) ),
inference(resolution,[],[f881,f512]) ).
fof(f881,plain,
! [X0] :
( ~ leq(X0,plus(n1,n1))
| ~ leq(n0,X0)
| n0 != sK11
| use = a_select3(z_defuse,X0,sK12) ),
inference(subsumption_resolution,[],[f878,f300]) ).
fof(f878,plain,
! [X0] :
( ~ leq(n0,sK12)
| ~ leq(X0,plus(n1,n1))
| n0 != sK11
| ~ leq(n0,X0)
| use = a_select3(z_defuse,X0,sK12) ),
inference(resolution,[],[f864,f525]) ).
fof(f864,plain,
( leq(sK12,minus(pv5,n1))
| n0 != sK11 ),
inference(resolution,[],[f861,f442]) ).
fof(f861,plain,
( gt(pv5,sK12)
| n0 != sK11 ),
inference(subsumption_resolution,[],[f850,f293]) ).
fof(f850,plain,
( n0 != sK11
| ~ leq(sK12,pv5)
| gt(pv5,sK12) ),
inference(extensionality_resolution,[],[f272,f297]) ).
fof(f297,plain,
( pv5 != sK12
| n0 != sK11 ),
inference(cnf_transformation,[],[f197]) ).
fof(f1011,plain,
( n0 = sK11
| ~ leq(sK11,n0) ),
inference(resolution,[],[f337,f296]) ).
fof(f337,plain,
! [X0] :
( ~ leq(n0,X0)
| n0 = X0
| ~ leq(X0,n0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(flattening,[],[f122]) ).
fof(f122,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/sandbox/benchmark/theBenchmark.p',finite_domain_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWV203+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32 % Computer : n008.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 30 19:09:55 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.18/0.42 % (17710)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.44 % (17702)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)
% 0.18/0.48 % (17700)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)
% 0.18/0.48 % (17726)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)
% 0.18/0.51 % (17724)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 % (17702)Instruction limit reached!
% 0.18/0.52 % (17702)------------------------------
% 0.18/0.52 % (17702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (17716)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)
% 0.18/0.53 % (17710)Instruction limit reached!
% 0.18/0.53 % (17710)------------------------------
% 0.18/0.53 % (17710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (17702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (17702)Termination reason: Unknown
% 0.18/0.53 % (17702)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (17702)Memory used [KB]: 1663
% 0.18/0.53 % (17702)Time elapsed: 0.147 s
% 0.18/0.53 % (17702)Instructions burned: 38 (million)
% 0.18/0.53 % (17702)------------------------------
% 0.18/0.53 % (17702)------------------------------
% 0.18/0.53 % (17710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (17710)Termination reason: Unknown
% 0.18/0.53 % (17710)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (17710)Memory used [KB]: 6396
% 0.18/0.53 % (17710)Time elapsed: 0.165 s
% 0.18/0.53 % (17710)Instructions burned: 50 (million)
% 0.18/0.53 % (17710)------------------------------
% 0.18/0.53 % (17710)------------------------------
% 0.18/0.54 % (17706)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)
% 0.18/0.55 % (17708)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.55 % (17708)Instruction limit reached!
% 0.18/0.55 % (17708)------------------------------
% 0.18/0.55 % (17708)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (17708)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (17708)Termination reason: Unknown
% 0.18/0.55 % (17708)Termination phase: Preprocessing 2
% 0.18/0.55
% 0.18/0.55 % (17708)Memory used [KB]: 1023
% 0.18/0.55 % (17708)Time elapsed: 0.003 s
% 0.18/0.55 % (17708)Instructions burned: 3 (million)
% 0.18/0.55 % (17708)------------------------------
% 0.18/0.55 % (17708)------------------------------
% 0.18/0.56 TRYING [1]
% 0.18/0.56 % (17714)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)
% 0.18/0.56 % (17711)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)
% 0.18/0.57 % (17722)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)
% 0.18/0.57 % (17712)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.57 % (17713)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.58 % (17726)Instruction limit reached!
% 0.18/0.58 % (17726)------------------------------
% 0.18/0.58 % (17726)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.58 % (17726)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.58 % (17726)Termination reason: Unknown
% 0.18/0.58 % (17726)Termination phase: Saturation
% 0.18/0.58
% 0.18/0.58 % (17726)Memory used [KB]: 6908
% 0.18/0.58 % (17726)Time elapsed: 0.072 s
% 0.18/0.58 % (17726)Instructions burned: 68 (million)
% 0.18/0.58 % (17726)------------------------------
% 0.18/0.58 % (17726)------------------------------
% 0.18/0.58 TRYING [2]
% 0.18/0.58 % (17701)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)
% 0.18/0.59 % (17704)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.59 % (17705)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)
% 0.18/0.59 % (17715)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)
% 0.18/0.60 TRYING [1]
% 0.18/0.60 % (17703)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)
% 0.18/0.60 % (17723)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)
% 0.18/0.60 % (17725)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.61 % (17728)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.61 % (17729)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)
% 0.18/0.61 % (17717)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.61 % (17707)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.62 % (17707)Instruction limit reached!
% 0.18/0.62 % (17707)------------------------------
% 0.18/0.62 % (17707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.62 % (17707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.62 % (17707)Termination reason: Unknown
% 0.18/0.62 % (17707)Termination phase: Property scanning
% 0.18/0.62
% 0.18/0.62 % (17707)Memory used [KB]: 1151
% 0.18/0.62 % (17707)Time elapsed: 0.007 s
% 0.18/0.62 % (17707)Instructions burned: 8 (million)
% 0.18/0.62 % (17707)------------------------------
% 0.18/0.62 % (17707)------------------------------
% 0.18/0.62 TRYING [2]
% 0.18/0.62 % (17727)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)
% 0.18/0.62 % (17706)Instruction limit reached!
% 0.18/0.62 % (17706)------------------------------
% 0.18/0.62 % (17706)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.62 % (17706)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.62 % (17706)Termination reason: Unknown
% 0.18/0.62 % (17706)Termination phase: Finite model building constraint generation
% 0.18/0.62
% 0.18/0.62 % (17706)Memory used [KB]: 7803
% 0.18/0.62 % (17706)Time elapsed: 0.196 s
% 0.18/0.62 % (17706)Instructions burned: 51 (million)
% 0.18/0.62 % (17706)------------------------------
% 0.18/0.62 % (17706)------------------------------
% 0.18/0.62 % (17718)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.62 % (17720)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)
% 0.18/0.62 % (17709)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)
% 0.18/0.63 % (17719)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)
% 0.18/0.65 % (17722)First to succeed.
% 0.18/0.65 % (17763)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 0.18/0.65 % (17721)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.67 TRYING [3]
% 0.18/0.68 % (17722)Refutation found. Thanks to Tanya!
% 0.18/0.68 % SZS status Theorem for theBenchmark
% 0.18/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.68 % (17722)------------------------------
% 0.18/0.68 % (17722)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.68 % (17722)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.68 % (17722)Termination reason: Refutation
% 0.18/0.68
% 0.18/0.68 % (17722)Memory used [KB]: 1663
% 0.18/0.68 % (17722)Time elapsed: 0.246 s
% 0.18/0.68 % (17722)Instructions burned: 49 (million)
% 0.18/0.68 % (17722)------------------------------
% 0.18/0.68 % (17722)------------------------------
% 0.18/0.68 % (17699)Success in time 0.342 s
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