%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN965+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n017.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 03:45:32 PM UTC 2026
% Result : Theorem 1.14s 1.26s
% Output : CNFRefutation 1.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 3 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 40 ( 14 ~; 9 |; 13 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 6 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 : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 39 ( 0 sgn 31 !; 8 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X0] :
! [X1] :
? [X2] :
( ( ( p(X2,X0)
& p(X0,X2) )
=> p(X2,X1) )
& ( p(X2,X1)
=> ? [X3] : p(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f2,negated_conjecture,
~ ? [X0] :
! [X1] :
? [X2] :
( ( ( p(X2,X0)
& p(X0,X2) )
=> p(X2,X1) )
& ( p(X2,X1)
=> ? [X3] : p(X3,X2) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
! [X0] :
? [X1] :
! [X2] :
( ( p(X2,X0)
& p(X0,X2)
& ~ p(X2,X1) )
| ( p(X2,X1)
& ! [X3] : ~ p(X3,X2) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
! [X0] :
? [X1] :
! [X2] :
( ( p(X2,X0)
& p(X0,X2)
& ~ p(X2,X1) )
| ( p(X2,X1)
& ! [X3] : ~ p(X3,X2) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
! [X0,X2] :
( ( p(X2,X0)
& p(X0,X2)
& ~ p(X2,sK0(X0)) )
| ( p(X2,sK0(X0))
& ! [X3] : ~ p(X3,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f4]) ).
fof(f7,plain,
! [X2,X0] :
( p(X0,X2)
| p(X2,sK0(X0)) ),
inference(cnf_transformation,[],[f5]) ).
fof(f9,plain,
! [X2,X3,X0] :
( p(X2,X0)
| ~ p(X3,X2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f11,plain,
! [X2,X3,X0] :
( ~ p(X2,sK0(X0))
| ~ p(X3,X2) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_49,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ p(X2,X0)
| ~ p(X0,sK0(X1)) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_51,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( p(X1,X2)
| ~ p(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_52,negated_conjecture,
! [X0: $i,X1: $i] :
( p(X1,X0)
| p(X0,sK0(X1)) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] : p(X0,sK0(X1)),
inference(backward_subsumption_resolution,[status(thm)],[c_52,c_51]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] : ~ p(X0,X1),
inference(backward_subsumption_resolution,[status(thm)],[c_49,c_51]) ).
tcf(c_69,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_63,c_65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN965+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n017.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 25 02:35:31 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 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
% 0.14/0.40
% 0.14/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.40
% 0.14/0.40 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 1.14/1.26 % SZS status Started for theBenchmark.p
% 1.14/1.26 % SZS status Theorem for theBenchmark.p
% 1.14/1.26
% 1.14/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.14/1.26
% 1.14/1.26 % ------ iProver source info
% 1.14/1.26
% 1.14/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 1.14/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.14/1.26 % git: non_committed_changes: false
% 1.14/1.26
% 1.14/1.26 % ------ Parsing...
% 1.14/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.14/1.26
% 1.14/1.26 % ------ Preprocessing...%
% 1.14/1.26
% 1.14/1.26 % SZS status Theorem for theBenchmark.p
% 1.14/1.26
% 1.14/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.14/1.27
% 1.14/1.27
%------------------------------------------------------------------------------