TSTP Solution File: SWV199+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWV199+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.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 : Thu Aug 31 22:31:33 EDT 2023
% Result : Theorem 1.34s 1.17s
% Output : CNFRefutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 71 ( 22 unt; 0 def)
% Number of atoms : 533 ( 342 equ)
% Maximal formula atoms : 51 ( 7 avg)
% Number of connectives : 622 ( 160 ~; 135 |; 308 &)
% ( 1 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 18 con; 0-3 aty)
% Number of variables : 95 ( 0 sgn; 66 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_gt) ).
fof(f9,axiom,
! [X0,X1] :
( ( X0 != X1
& leq(X0,X1) )
=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt2) ).
fof(f10,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt_pred) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_minus_1) ).
fof(f53,conjecture,
( ( ! [X3,X19] :
( ( leq(X19,pred(pv5))
& leq(X3,n2)
& leq(n0,X19)
& leq(n0,X3) )
=> use = a_select3(z_defuse,X3,X19) )
& ! [X13,X17] :
( ( leq(X17,pred(pv5))
& leq(X13,n2)
& leq(n0,X17)
& leq(n0,X13) )
=> use = a_select3(u_defuse,X13,X17) )
& leq(pv5,n998)
& leq(pv5,n0)
& leq(n0,pv5)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) )
=> ! [X20,X21] :
( ( leq(X21,pv5)
& leq(X20,n2)
& leq(n0,X21)
& leq(n0,X20) )
=> ( ( ~ ( pv5 = X21
& n2 = X20 )
& ~ ( pv5 = X21
& n1 = X20 )
& ~ ( pv5 = X21
& n0 = X20 ) )
=> use = a_select3(z_defuse,X20,X21) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0010) ).
fof(f54,negated_conjecture,
~ ( ( ! [X3,X19] :
( ( leq(X19,pred(pv5))
& leq(X3,n2)
& leq(n0,X19)
& leq(n0,X3) )
=> use = a_select3(z_defuse,X3,X19) )
& ! [X13,X17] :
( ( leq(X17,pred(pv5))
& leq(X13,n2)
& leq(n0,X17)
& leq(n0,X13) )
=> use = a_select3(u_defuse,X13,X17) )
& leq(pv5,n998)
& leq(pv5,n0)
& leq(n0,pv5)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) )
=> ! [X20,X21] :
( ( leq(X21,pv5)
& leq(X20,n2)
& leq(n0,X21)
& leq(n0,X20) )
=> ( ( ~ ( pv5 = X21
& n2 = X20 )
& ~ ( pv5 = X21
& n1 = X20 )
& ~ ( pv5 = X21
& n0 = X20 ) )
=> use = a_select3(z_defuse,X20,X21) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f87,axiom,
! [X0] :
( ( leq(X0,n2)
& leq(n0,X0) )
=> ( n2 = X0
| n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_2) ).
fof(f114,plain,
~ ( ( ! [X0,X1] :
( ( leq(X1,pred(pv5))
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> use = a_select3(z_defuse,X0,X1) )
& ! [X2,X3] :
( ( leq(X3,pred(pv5))
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
=> use = a_select3(u_defuse,X2,X3) )
& leq(pv5,n998)
& leq(pv5,n0)
& leq(n0,pv5)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) )
=> ! [X4,X5] :
( ( leq(X5,pv5)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
=> ( ( ~ ( pv5 = X5
& n2 = X4 )
& ~ ( pv5 = X5
& n1 = X4 )
& ~ ( pv5 = X5
& n0 = X4 ) )
=> use = a_select3(z_defuse,X4,X5) ) ) ),
inference(rectify,[],[f54]) ).
fof(f121,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f122,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(flattening,[],[f121]) ).
fof(f156,plain,
( ? [X4,X5] :
( use != a_select3(z_defuse,X4,X5)
& ( pv5 != X5
| n2 != X4 )
& ( pv5 != X5
| n1 != X4 )
& ( pv5 != X5
| n0 != X4 )
& leq(X5,pv5)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
& ! [X0,X1] :
( use = a_select3(z_defuse,X0,X1)
| ~ leq(X1,pred(pv5))
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0) )
& ! [X2,X3] :
( use = a_select3(u_defuse,X2,X3)
| ~ leq(X3,pred(pv5))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& leq(pv5,n998)
& leq(pv5,n0)
& leq(n0,pv5)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) ),
inference(ennf_transformation,[],[f114]) ).
fof(f157,plain,
( ? [X4,X5] :
( use != a_select3(z_defuse,X4,X5)
& ( pv5 != X5
| n2 != X4 )
& ( pv5 != X5
| n1 != X4 )
& ( pv5 != X5
| n0 != X4 )
& leq(X5,pv5)
& leq(X4,n2)
& leq(n0,X5)
& leq(n0,X4) )
& ! [X0,X1] :
( use = a_select3(z_defuse,X0,X1)
| ~ leq(X1,pred(pv5))
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0) )
& ! [X2,X3] :
( use = a_select3(u_defuse,X2,X3)
| ~ leq(X3,pred(pv5))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& leq(pv5,n998)
& leq(pv5,n0)
& leq(n0,pv5)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) ),
inference(flattening,[],[f156]) ).
fof(f166,plain,
! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f167,plain,
! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(flattening,[],[f166]) ).
fof(f177,plain,
! [X0,X1] :
( ( leq(X0,pred(X1))
| ~ gt(X1,X0) )
& ( gt(X1,X0)
| ~ leq(X0,pred(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f224,plain,
( ? [X0,X1] :
( use != a_select3(z_defuse,X0,X1)
& ( pv5 != X1
| n2 != X0 )
& ( pv5 != X1
| n1 != X0 )
& ( pv5 != X1
| n0 != X0 )
& leq(X1,pv5)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
& ! [X2,X3] :
( use = a_select3(z_defuse,X2,X3)
| ~ leq(X3,pred(pv5))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( use = a_select3(u_defuse,X4,X5)
| ~ leq(X5,pred(pv5))
| ~ leq(X4,n2)
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& leq(pv5,n998)
& leq(pv5,n0)
& leq(n0,pv5)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) ),
inference(rectify,[],[f157]) ).
fof(f225,plain,
( ? [X0,X1] :
( use != a_select3(z_defuse,X0,X1)
& ( pv5 != X1
| n2 != X0 )
& ( pv5 != X1
| n1 != X0 )
& ( pv5 != X1
| n0 != X0 )
& leq(X1,pv5)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> ( use != a_select3(z_defuse,sK31,sK32)
& ( pv5 != sK32
| n2 != sK31 )
& ( pv5 != sK32
| n1 != sK31 )
& ( pv5 != sK32
| n0 != sK31 )
& leq(sK32,pv5)
& leq(sK31,n2)
& leq(n0,sK32)
& leq(n0,sK31) ) ),
introduced(choice_axiom,[]) ).
fof(f226,plain,
( use != a_select3(z_defuse,sK31,sK32)
& ( pv5 != sK32
| n2 != sK31 )
& ( pv5 != sK32
| n1 != sK31 )
& ( pv5 != sK32
| n0 != sK31 )
& leq(sK32,pv5)
& leq(sK31,n2)
& leq(n0,sK32)
& leq(n0,sK31)
& ! [X2,X3] :
( use = a_select3(z_defuse,X2,X3)
| ~ leq(X3,pred(pv5))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( use = a_select3(u_defuse,X4,X5)
| ~ leq(X5,pred(pv5))
| ~ leq(X4,n2)
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& leq(pv5,n998)
& leq(pv5,n0)
& leq(n0,pv5)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31,sK32])],[f224,f225]) ).
fof(f227,plain,
! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f229,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f233,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f235,plain,
! [X0,X1] :
( leq(X0,pred(X1))
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f317,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f368,plain,
! [X2,X3] :
( use = a_select3(z_defuse,X2,X3)
| ~ leq(X3,pred(pv5))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f226]) ).
fof(f369,plain,
leq(n0,sK31),
inference(cnf_transformation,[],[f226]) ).
fof(f370,plain,
leq(n0,sK32),
inference(cnf_transformation,[],[f226]) ).
fof(f371,plain,
leq(sK31,n2),
inference(cnf_transformation,[],[f226]) ).
fof(f372,plain,
leq(sK32,pv5),
inference(cnf_transformation,[],[f226]) ).
fof(f373,plain,
( pv5 != sK32
| n0 != sK31 ),
inference(cnf_transformation,[],[f226]) ).
fof(f374,plain,
( pv5 != sK32
| n1 != sK31 ),
inference(cnf_transformation,[],[f226]) ).
fof(f375,plain,
( pv5 != sK32
| n2 != sK31 ),
inference(cnf_transformation,[],[f226]) ).
fof(f376,plain,
use != a_select3(z_defuse,sK31,sK32),
inference(cnf_transformation,[],[f226]) ).
fof(f409,plain,
! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f416,plain,
! [X0,X1] :
( leq(X0,minus(X1,n1))
| ~ gt(X1,X0) ),
inference(definition_unfolding,[],[f235,f317]) ).
fof(f437,plain,
! [X2,X3] :
( use = a_select3(z_defuse,X2,X3)
| ~ leq(X3,minus(pv5,n1))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) ),
inference(definition_unfolding,[],[f368,f317]) ).
cnf(c_49,plain,
( X0 = X1
| gt(X0,X1)
| gt(X1,X0) ),
inference(cnf_transformation,[],[f227]) ).
cnf(c_51,plain,
~ gt(X0,X0),
inference(cnf_transformation,[],[f229]) ).
cnf(c_55,plain,
( ~ leq(X0,X1)
| X0 = X1
| gt(X1,X0) ),
inference(cnf_transformation,[],[f233]) ).
cnf(c_56,plain,
( ~ gt(X0,X1)
| leq(X1,minus(X0,n1)) ),
inference(cnf_transformation,[],[f416]) ).
cnf(c_157,negated_conjecture,
a_select3(z_defuse,sK31,sK32) != use,
inference(cnf_transformation,[],[f376]) ).
cnf(c_158,negated_conjecture,
( n2 != sK31
| sK32 != pv5 ),
inference(cnf_transformation,[],[f375]) ).
cnf(c_159,negated_conjecture,
( n1 != sK31
| sK32 != pv5 ),
inference(cnf_transformation,[],[f374]) ).
cnf(c_160,negated_conjecture,
( n0 != sK31
| sK32 != pv5 ),
inference(cnf_transformation,[],[f373]) ).
cnf(c_161,negated_conjecture,
leq(sK32,pv5),
inference(cnf_transformation,[],[f372]) ).
cnf(c_162,negated_conjecture,
leq(sK31,n2),
inference(cnf_transformation,[],[f371]) ).
cnf(c_163,negated_conjecture,
leq(n0,sK32),
inference(cnf_transformation,[],[f370]) ).
cnf(c_164,negated_conjecture,
leq(n0,sK31),
inference(cnf_transformation,[],[f369]) ).
cnf(c_165,negated_conjecture,
( ~ leq(X0,minus(pv5,n1))
| ~ leq(X1,n2)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| a_select3(z_defuse,X1,X0) = use ),
inference(cnf_transformation,[],[f437]) ).
cnf(c_229,plain,
( ~ leq(X0,n2)
| ~ leq(n0,X0)
| X0 = n1
| X0 = n0
| X0 = n2 ),
inference(cnf_transformation,[],[f409]) ).
cnf(c_237,plain,
~ gt(n0,n0),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_268,plain,
( n0 = n0
| gt(n0,n0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_6036,plain,
X0 = X0,
theory(equality) ).
cnf(c_6038,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_9351,plain,
( ~ gt(pv5,X0)
| ~ leq(X1,n2)
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| a_select3(z_defuse,X1,X0) = use ),
inference(superposition,[status(thm)],[c_56,c_165]) ).
cnf(c_9483,plain,
( ~ gt(pv5,X0)
| ~ leq(n0,X0)
| ~ leq(sK31,n2)
| a_select3(z_defuse,sK31,X0) = use ),
inference(superposition,[status(thm)],[c_164,c_9351]) ).
cnf(c_9519,plain,
( ~ gt(pv5,X0)
| ~ leq(n0,X0)
| a_select3(z_defuse,sK31,X0) = use ),
inference(forward_subsumption_resolution,[status(thm)],[c_9483,c_162]) ).
cnf(c_11122,plain,
( n2 != X0
| sK31 != X0
| n2 = sK31 ),
inference(instantiation,[status(thm)],[c_6038]) ).
cnf(c_11124,plain,
( n1 != X0
| sK31 != X0
| n1 = sK31 ),
inference(instantiation,[status(thm)],[c_6038]) ).
cnf(c_11126,plain,
( n0 != X0
| sK31 != X0
| n0 = sK31 ),
inference(instantiation,[status(thm)],[c_6038]) ).
cnf(c_11127,plain,
( n0 != n0
| sK31 != n0
| n0 = sK31 ),
inference(instantiation,[status(thm)],[c_11126]) ).
cnf(c_12436,plain,
( sK32 = pv5
| gt(pv5,sK32) ),
inference(superposition,[status(thm)],[c_161,c_55]) ).
cnf(c_12780,plain,
( n2 != n2
| sK31 != n2
| n2 = sK31 ),
inference(instantiation,[status(thm)],[c_11122]) ).
cnf(c_12781,plain,
n2 = n2,
inference(instantiation,[status(thm)],[c_6036]) ).
cnf(c_12869,plain,
( n1 != n1
| sK31 != n1
| n1 = sK31 ),
inference(instantiation,[status(thm)],[c_11124]) ).
cnf(c_12870,plain,
n1 = n1,
inference(instantiation,[status(thm)],[c_6036]) ).
cnf(c_12943,plain,
( ~ leq(n0,sK31)
| ~ leq(sK31,n2)
| sK31 = n1
| sK31 = n0
| sK31 = n2 ),
inference(instantiation,[status(thm)],[c_229]) ).
cnf(c_13015,negated_conjecture,
sK32 != pv5,
inference(global_subsumption_just,[status(thm)],[c_158,c_164,c_162,c_237,c_160,c_159,c_158,c_268,c_11127,c_12780,c_12781,c_12869,c_12870,c_12943]) ).
cnf(c_13031,plain,
gt(pv5,sK32),
inference(global_subsumption_just,[status(thm)],[c_12436,c_12436,c_13015]) ).
cnf(c_13044,plain,
( ~ leq(n0,sK32)
| a_select3(z_defuse,sK31,sK32) = use ),
inference(superposition,[status(thm)],[c_13031,c_9519]) ).
cnf(c_13050,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_13044,c_157,c_163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV199+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.13/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n021.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 : Tue Aug 29 07:57:44 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.34/1.17 % SZS status Started for theBenchmark.p
% 1.34/1.17 % SZS status Theorem for theBenchmark.p
% 1.34/1.17
% 1.34/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.34/1.17
% 1.34/1.17 ------ iProver source info
% 1.34/1.17
% 1.34/1.17 git: date: 2023-05-31 18:12:56 +0000
% 1.34/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.34/1.17 git: non_committed_changes: false
% 1.34/1.17 git: last_make_outside_of_git: false
% 1.34/1.17
% 1.34/1.17 ------ Parsing...
% 1.34/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.34/1.17
% 1.34/1.17 ------ Preprocessing... sup_sim: 16 sf_s rm: 1 0s sf_e pe_s pe_e
% 1.34/1.17
% 1.34/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.34/1.17
% 1.34/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.34/1.17 ------ Proving...
% 1.34/1.17 ------ Problem Properties
% 1.34/1.17
% 1.34/1.17
% 1.34/1.17 clauses 187
% 1.34/1.17 conjectures 40
% 1.34/1.17 EPR 53
% 1.34/1.17 Horn 137
% 1.34/1.17 unary 88
% 1.34/1.17 binary 37
% 1.34/1.17 lits 537
% 1.34/1.17 lits eq 149
% 1.34/1.17 fd_pure 0
% 1.34/1.17 fd_pseudo 0
% 1.34/1.17 fd_cond 6
% 1.34/1.17 fd_pseudo_cond 4
% 1.34/1.17 AC symbols 0
% 1.34/1.17
% 1.34/1.17 ------ Schedule dynamic 5 is on
% 1.34/1.17
% 1.34/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.34/1.17
% 1.34/1.17
% 1.34/1.17 ------
% 1.34/1.17 Current options:
% 1.34/1.17 ------
% 1.34/1.17
% 1.34/1.17
% 1.34/1.17
% 1.34/1.17
% 1.34/1.17 ------ Proving...
% 1.34/1.17
% 1.34/1.17
% 1.34/1.17 % SZS status Theorem for theBenchmark.p
% 1.34/1.17
% 1.34/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.34/1.17
% 1.34/1.17
%------------------------------------------------------------------------------