%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEV664+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n009.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 03:02:55 PM UTC 2026
% Result : Theorem 4.07s 1.19s
% Output : CNFRefutation 4.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 29 ( 7 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 23 ( 7 ~; 0 |; 6 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 10 ( 0 sgn 6 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2539,conjecture,
! [X0] :
( cProp___24t(X0)
=> ! [X1] :
( cProp___24t(X1)
=> ( X0 = X1
=> ( p(X0)
=> p(X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
fof(f2540,negated_conjecture,
~ ! [X0] :
( cProp___24t(X0)
=> ! [X1] :
( cProp___24t(X1)
=> ( X0 = X1
=> ( p(X0)
=> p(X1) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f2539]) ).
fof(f2541,plain,
~ ! [X0,X1] :
( X0 = X1
=> ( p(X0)
=> p(X1) ) ),
inference(pure_predicate_removal,[],[f2540]) ).
fof(f2542,plain,
? [X0,X1] :
( X0 = X1
& p(X0)
& ~ p(X1) ),
inference(ennf_transformation,[],[f2541]) ).
fof(f2543,plain,
? [X0,X1] :
( X0 = X1
& p(X0)
& ~ p(X1) ),
inference(flattening,[],[f2542]) ).
fof(f2544,plain,
( sK0 = sK1
& p(sK0)
& ~ p(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f2543]) ).
fof(f2545,plain,
sK0 = sK1,
inference(cnf_transformation,[],[f2544]) ).
fof(f2546,plain,
p(sK0),
inference(cnf_transformation,[],[f2544]) ).
fof(f2547,plain,
~ p(sK1),
inference(cnf_transformation,[],[f2544]) ).
fof(f2548,plain,
p(sK1),
inference(definition_unfolding,[],[f2546,f2545]) ).
tcf(c_49,negated_conjecture,
~ p(sK1),
inference(cnf_transformation,[],[f2547]) ).
tcf(c_50,negated_conjecture,
p(sK1),
inference(cnf_transformation,[],[f2548]) ).
tcf(c_51,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_49,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV664+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n009.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 15:15:13 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 4.07/1.19 % SZS status Started for theBenchmark.p
% 4.07/1.19 % SZS status Theorem for theBenchmark.p
% 4.07/1.19
% 4.07/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.07/1.19
% 4.07/1.19 % ------ iProver source info
% 4.07/1.19
% 4.07/1.19 % git: date: 2026-07-19 20:42:38 +0200
% 4.07/1.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.07/1.19 % git: non_committed_changes: false
% 4.07/1.19
% 4.07/1.19 % ------ Parsing...
% 4.07/1.19 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 4.07/1.19 %
% 4.07/1.19
% 4.07/1.19 % ------ Preprocessing...%
% 4.07/1.19
% 4.07/1.19 % SZS status Theorem for theBenchmark.p
% 4.07/1.19
% 4.07/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.07/1.19
% 4.07/1.19
%------------------------------------------------------------------------------