%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM343+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:23:44 PM UTC 2026
% Result : Theorem 1.64s 1.16s
% Output : CNFRefutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 36 ( 6 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 37 ( 16 ~; 7 |; 11 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 16 ( 0 sgn 14 !; 2 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
fof(f284,axiom,
! [X0,X1] :
( less(X0,X1)
<=> ( X1 != X0
& ~ less(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',less_property) ).
fof(f402,conjecture,
? [X0] :
( ( less(X0,n1)
& less(nn1,X0) )
=> sum(n21,X0,n21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_something_n0_samething) ).
fof(f403,negated_conjecture,
~ ? [X0] :
( ( less(X0,n1)
& less(nn1,X0) )
=> sum(n21,X0,n21) ),
inference(negated_conjecture,[status(cth)],[f402]) ).
fof(f450,plain,
! [X0] :
( less(X0,n1)
& less(nn1,X0)
& ~ sum(n21,X0,n21) ),
inference(ennf_transformation,[],[f403]) ).
fof(f451,plain,
! [X0] :
( less(X0,n1)
& less(nn1,X0)
& ~ sum(n21,X0,n21) ),
inference(flattening,[],[f450]) ).
fof(f452,plain,
! [X0,X1] :
( ( ~ less(X0,X1)
| ( X1 != X0
& ~ less(X1,X0) ) )
& ( X0 = X1
| less(X1,X0)
| less(X0,X1) ) ),
inference(nnf_transformation,[],[f284]) ).
fof(f453,plain,
! [X0,X1] :
( ( ~ less(X0,X1)
| ( X1 != X0
& ~ less(X1,X0) ) )
& ( X0 = X1
| less(X1,X0)
| less(X0,X1) ) ),
inference(flattening,[],[f452]) ).
fof(f738,plain,
! [X0,X1] :
( ~ less(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f453]) ).
fof(f859,plain,
! [X0] : less(X0,n1),
inference(cnf_transformation,[],[f451]) ).
fof(f862,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f738]) ).
tcf(c_334,plain,
! [X0: $i] : ~ less(X0,X0),
inference(cnf_transformation,[],[f862]) ).
tcf(c_455,negated_conjecture,
! [X0: $i] : less(X0,n1),
inference(cnf_transformation,[],[f859]) ).
tcf(c_456,plain,
less(n1,n1),
inference(instantiation,[status(thm)],[c_455]) ).
tcf(c_458,plain,
~ less(n1,n1),
inference(instantiation,[status(thm)],[c_334]) ).
tcf(c_459,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_458,c_456]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM343+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.02/0.36 % Computer : n012.cluster.edu
% 0.02/0.36 % Model : x86_64 x86_64
% 0.02/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.36 % Memory : 8046.5625MB
% 0.02/0.36 % OS : Linux 6.8.0-71-generic
% 0.02/0.36 % CPULimit : 300
% 0.02/0.36 % WCLimit : 300
% 0.02/0.36 % DateTime : Thu Sep 24 03:39:06 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.02/0.40 Running first-order theorem proving
% 0.02/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.41
% 0.02/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.02/0.41
% 0.02/0.41 % Detected problem language: tptp
% 0.02/0.42 % Proving...
% 1.64/1.16 % SZS status Started for theBenchmark.p
% 1.64/1.16 % SZS status Theorem for theBenchmark.p
% 1.64/1.16
% 1.64/1.16 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.64/1.16
% 1.64/1.16 % ------ iProver source info
% 1.64/1.16
% 1.64/1.16 % git: date: 2026-07-19 20:42:38 +0200
% 1.64/1.16 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.64/1.16 % git: non_committed_changes: false
% 1.64/1.16
% 1.64/1.16 % ------ Parsing...
% 1.64/1.16 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.64/1.16
% 1.64/1.16 % ------ Preprocessing...%
% 1.64/1.16
% 1.64/1.16 % SZS status Theorem for theBenchmark.p
% 1.64/1.16
% 1.64/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.64/1.16
% 1.64/1.16
%------------------------------------------------------------------------------