TSTP Solution File: NUM578+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM578+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 11:31:35 EDT 2023
% Result : Theorem 3.76s 1.17s
% Output : CNFRefutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 30 ( 9 unt; 0 def)
% Number of atoms : 88 ( 29 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 110 ( 52 ~; 38 |; 11 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn; 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f84,axiom,
( aElementOf0(xj,szNzAzT0)
& aElementOf0(xi,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3856) ).
fof(f85,axiom,
( xi != xj
=> ( sdtlseqdt0(szszuzczcdt0(xi),xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3856_02) ).
fof(f86,conjecture,
( ! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X0),X1)
=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
& aSubsetOf0(sdtlpdtrp0(xN,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) )
=> ( xi != xj
=> szmzizndt0(sdtlpdtrp0(xN,xi)) != szmzizndt0(sdtlpdtrp0(xN,xj)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f87,negated_conjecture,
~ ( ! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(X0),X1)
=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
& aSubsetOf0(sdtlpdtrp0(xN,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) )
=> ( xi != xj
=> szmzizndt0(sdtlpdtrp0(xN,xi)) != szmzizndt0(sdtlpdtrp0(xN,xj)) ) ),
inference(negated_conjecture,[],[f86]) ).
fof(f201,plain,
( sdtlseqdt0(szszuzczcdt0(xi),xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi)
| xi = xj ),
inference(ennf_transformation,[],[f85]) ).
fof(f202,plain,
( sdtlseqdt0(szszuzczcdt0(xi),xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi)
| xi = xj ),
inference(flattening,[],[f201]) ).
fof(f203,plain,
( szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(sdtlpdtrp0(xN,xj))
& xi != xj
& ! [X0,X1] :
( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
& aSubsetOf0(sdtlpdtrp0(xN,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f87]) ).
fof(f204,plain,
( szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(sdtlpdtrp0(xN,xj))
& xi != xj
& ! [X0,X1] :
( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
& aSubsetOf0(sdtlpdtrp0(xN,X1),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
| ~ sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(flattening,[],[f203]) ).
fof(f456,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f84]) ).
fof(f457,plain,
aElementOf0(xj,szNzAzT0),
inference(cnf_transformation,[],[f84]) ).
fof(f458,plain,
( sdtlseqdt0(szszuzczcdt0(xi),xj)
| sdtlseqdt0(szszuzczcdt0(xj),xi)
| xi = xj ),
inference(cnf_transformation,[],[f202]) ).
fof(f460,plain,
! [X0,X1] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f461,plain,
xi != xj,
inference(cnf_transformation,[],[f204]) ).
fof(f462,plain,
szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(sdtlpdtrp0(xN,xj)),
inference(cnf_transformation,[],[f204]) ).
cnf(c_216,plain,
aElementOf0(xj,szNzAzT0),
inference(cnf_transformation,[],[f457]) ).
cnf(c_217,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f456]) ).
cnf(c_218,plain,
( xj = xi
| sdtlseqdt0(szszuzczcdt0(xj),xi)
| sdtlseqdt0(szszuzczcdt0(xi),xj) ),
inference(cnf_transformation,[],[f458]) ).
cnf(c_219,negated_conjecture,
szmzizndt0(sdtlpdtrp0(xN,xj)) = szmzizndt0(sdtlpdtrp0(xN,xi)),
inference(cnf_transformation,[],[f462]) ).
cnf(c_220,negated_conjecture,
xj != xi,
inference(cnf_transformation,[],[f461]) ).
cnf(c_221,negated_conjecture,
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f460]) ).
cnf(c_349,plain,
( sdtlseqdt0(szszuzczcdt0(xj),xi)
| sdtlseqdt0(szszuzczcdt0(xi),xj) ),
inference(global_subsumption_just,[status(thm)],[c_218,c_220,c_218]) ).
cnf(c_17476,plain,
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,xj))
| ~ sdtlseqdt0(szszuzczcdt0(xi),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(superposition,[status(thm)],[c_219,c_221]) ).
cnf(c_17477,plain,
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,xj))
| ~ sdtlseqdt0(szszuzczcdt0(X0),xi)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(superposition,[status(thm)],[c_219,c_221]) ).
cnf(c_17510,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(xi),X0)
| szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,xj)) ),
inference(global_subsumption_just,[status(thm)],[c_17476,c_217,c_17476]) ).
cnf(c_17511,plain,
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,xj))
| ~ sdtlseqdt0(szszuzczcdt0(xi),X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(renaming,[status(thm)],[c_17510]) ).
cnf(c_17520,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xi),xj)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(equality_resolution,[status(thm)],[c_17511]) ).
cnf(c_17527,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),xi)
| szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,xj)) ),
inference(global_subsumption_just,[status(thm)],[c_17477,c_217,c_17477]) ).
cnf(c_17528,plain,
( szmzizndt0(sdtlpdtrp0(xN,X0)) != szmzizndt0(sdtlpdtrp0(xN,xj))
| ~ sdtlseqdt0(szszuzczcdt0(X0),xi)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(renaming,[status(thm)],[c_17527]) ).
cnf(c_17537,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xj),xi)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(equality_resolution,[status(thm)],[c_17528]) ).
cnf(c_17540,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_17537,c_17520,c_349,c_216]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM578+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 12:14:28 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.76/1.17 % SZS status Started for theBenchmark.p
% 3.76/1.17 % SZS status Theorem for theBenchmark.p
% 3.76/1.17
% 3.76/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.76/1.17
% 3.76/1.17 ------ iProver source info
% 3.76/1.17
% 3.76/1.17 git: date: 2023-05-31 18:12:56 +0000
% 3.76/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.76/1.17 git: non_committed_changes: false
% 3.76/1.17 git: last_make_outside_of_git: false
% 3.76/1.17
% 3.76/1.17 ------ Parsing...
% 3.76/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.76/1.17
% 3.76/1.17 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 3.76/1.17
% 3.76/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.76/1.17
% 3.76/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.76/1.17 ------ Proving...
% 3.76/1.17 ------ Problem Properties
% 3.76/1.17
% 3.76/1.17
% 3.76/1.17 clauses 170
% 3.76/1.17 conjectures 4
% 3.76/1.17 EPR 41
% 3.76/1.17 Horn 130
% 3.76/1.17 unary 27
% 3.76/1.17 binary 22
% 3.76/1.17 lits 598
% 3.76/1.17 lits eq 93
% 3.76/1.17 fd_pure 0
% 3.76/1.17 fd_pseudo 0
% 3.76/1.17 fd_cond 10
% 3.76/1.17 fd_pseudo_cond 24
% 3.76/1.17 AC symbols 0
% 3.76/1.17
% 3.76/1.17 ------ Schedule dynamic 5 is on
% 3.76/1.17
% 3.76/1.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.76/1.17
% 3.76/1.17
% 3.76/1.17 ------
% 3.76/1.17 Current options:
% 3.76/1.17 ------
% 3.76/1.17
% 3.76/1.17
% 3.76/1.17
% 3.76/1.17
% 3.76/1.17 ------ Proving...
% 3.76/1.17
% 3.76/1.17
% 3.76/1.17 % SZS status Theorem for theBenchmark.p
% 3.76/1.17
% 3.76/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.76/1.17
% 3.76/1.17
%------------------------------------------------------------------------------