%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN733+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 1.08s 1.26s
% Output : CNFRefutation 1.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 36 ( 12 ~; 12 |; 10 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 22 ( 0 sgn 16 !; 6 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X0] :
? [X1] :
( ( q(X0)
| q(X1) )
& p(X0) )
=> ? [X2] :
( q(X2)
& p(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',y2141) ).
fof(f2,negated_conjecture,
~ ( ! [X0] :
? [X1] :
( ( q(X0)
| q(X1) )
& p(X0) )
=> ? [X2] :
( q(X2)
& p(X2) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X0] :
? [X1] :
( ( q(X0)
| q(X1) )
& p(X0) )
& ! [X2] :
( ~ q(X2)
| ~ p(X2) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ! [X1] :
? [X2] :
( ( q(X1)
| q(X2) )
& p(X1) )
& ! [X0] :
( ~ q(X0)
| ~ p(X0) ) ),
inference(rectify,[],[f3]) ).
fof(f5,plain,
( ! [X1] :
( ( q(X1)
| q(sK0(X1)) )
& p(X1) )
& ! [X0] :
( ~ q(X0)
| ~ p(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X1))],[f4]) ).
fof(f6,plain,
! [X1] :
( q(X1)
| q(sK0(X1)) ),
inference(cnf_transformation,[],[f5]) ).
fof(f7,plain,
! [X1] : p(X1),
inference(cnf_transformation,[],[f5]) ).
fof(f8,plain,
! [X0] :
( ~ q(X0)
| ~ p(X0) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_49,negated_conjecture,
! [X0: $i] :
( ~ q(X0)
| ~ p(X0) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_50,negated_conjecture,
! [X0: $i] : p(X0),
inference(cnf_transformation,[],[f7]) ).
tcf(c_51,negated_conjecture,
! [X0: $i] :
( q(X0)
| q(sK0(X0)) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_55,negated_conjecture,
! [X0: $i] : q(sK0(X0)),
inference(global_subsumption_just,[status(thm)],[c_51,c_50,c_51,c_49]) ).
tcf(c_58,negated_conjecture,
! [X0: $i] : ~ q(X0),
inference(global_subsumption_just,[status(thm)],[c_49,c_50,c_49]) ).
tcf(c_64,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_55,c_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN733+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n018.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 02:16:04 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 1.08/1.26 % SZS status Started for theBenchmark.p
% 1.08/1.26 % SZS status Theorem for theBenchmark.p
% 1.08/1.26
% 1.08/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.08/1.26
% 1.08/1.26 % ------ iProver source info
% 1.08/1.26
% 1.08/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 1.08/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.08/1.26 % git: non_committed_changes: false
% 1.08/1.26
% 1.08/1.26 % ------ Parsing...
% 1.08/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.08/1.26
% 1.08/1.26 % ------ Preprocessing...%
% 1.08/1.26
% 1.08/1.26 % SZS status Theorem for theBenchmark.p
% 1.08/1.26
% 1.08/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.08/1.26
% 1.08/1.26
%------------------------------------------------------------------------------