%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN732+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n018.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 03:41:31 PM UTC 2026
% Result : Theorem 1.09s 1.26s
% Output : CNFRefutation 1.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 32 ( 12 ~; 5 |; 9 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 34 ( 0 sgn 24 !; 10 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X0] :
( ! [X1] : p(X1,X0)
=> ! [X2] : q(X2,X0) )
=> ? [X3] :
( ? [X4] : p(X4,X3)
=> ? [X5] :
( q(X5,X3)
| p(X3,X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x3411) ).
fof(f2,negated_conjecture,
~ ( ! [X0] :
( ! [X1] : p(X1,X0)
=> ! [X2] : q(X2,X0) )
=> ? [X3] :
( ? [X4] : p(X4,X3)
=> ? [X5] :
( q(X5,X3)
| p(X3,X5) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X0] :
( ? [X1] : ~ p(X1,X0)
| ! [X2] : q(X2,X0) )
& ! [X3] :
( ? [X4] : p(X4,X3)
& ! [X5] :
( ~ q(X5,X3)
& ~ p(X3,X5) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ! [X3] :
( ? [X5] : ~ p(X5,X3)
| ! [X4] : q(X4,X3) )
& ! [X0] :
( ? [X2] : p(X2,X0)
& ! [X1] :
( ~ q(X1,X0)
& ~ p(X0,X1) ) ) ),
inference(rectify,[],[f3]) ).
fof(f5,plain,
( ! [X3] :
( ~ p(sK1(X3),X3)
| ! [X4] : q(X4,X3) )
& ! [X0] :
( p(sK0(X0),X0)
& ! [X1] :
( ~ q(X1,X0)
& ~ p(X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X2,sK0(X0)),skolemize(X5,sK1(X3))],[f4]) ).
fof(f7,plain,
! [X0] : p(sK0(X0),X0),
inference(cnf_transformation,[],[f5]) ).
fof(f9,plain,
! [X0,X1] : ~ p(X0,X1),
inference(cnf_transformation,[],[f5]) ).
tcf(c_49,negated_conjecture,
! [X0: $i,X1: $i] : ~ p(X0,X1),
inference(cnf_transformation,[],[f9]) ).
tcf(c_51,negated_conjecture,
! [X0: $i] : p(sK0(X0),X0),
inference(cnf_transformation,[],[f7]) ).
tcf(c_59,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_51,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN732+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 02:15:49 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.39 Running first-order theorem proving
% 0.09/0.39 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
% 0.09/0.40
% 0.09/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.40
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.42 % Proving...
% 1.09/1.26 % SZS status Started for theBenchmark.p
% 1.09/1.26 % SZS status Theorem for theBenchmark.p
% 1.09/1.26
% 1.09/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.09/1.26
% 1.09/1.26 % ------ iProver source info
% 1.09/1.26
% 1.09/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 1.09/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.09/1.26 % git: non_committed_changes: false
% 1.09/1.26
% 1.09/1.26 % ------ Parsing...
% 1.09/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.09/1.26
% 1.09/1.26 % ------ Preprocessing...%
% 1.09/1.26
% 1.09/1.26 % SZS status Theorem for theBenchmark.p
% 1.09/1.26
% 1.09/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.09/1.26
% 1.09/1.26
%------------------------------------------------------------------------------