%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN315-1 : TPTP v9.3.1. Released v1.2.0.
% 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 03:39:41 PM UTC 2026
% Result : Unsatisfiable 0.66s 1.06s
% Output : CNFRefutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 4 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 31 ( 16 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 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 : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 17 ( 0 sgn 17 !; 0 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] :
( p(a)
| ~ f(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
! [X0] :
( f(X0)
| ~ p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f3,negated_conjecture,
! [X0] :
( ~ p(a)
| ~ f(y(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f4,negated_conjecture,
! [X0] :
( f(y(X0))
| p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
tcf(c_53,negated_conjecture,
! [X0: $i] :
( p(a)
| ~ f(X0) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_54,negated_conjecture,
! [X0: $i] :
( f(X0)
| ~ p(a) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_55,negated_conjecture,
! [X0: $i] :
( ~ p(a)
| ~ f(y(X0)) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_56,negated_conjecture,
! [X0: $i] :
( p(a)
| f(y(X0)) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_61,plain,
! [X0: $i] :
( ~ f(X0)
| p(a) ),
inference(prop_impl_just,[status(thm)],[c_53]) ).
tcf(c_62,plain,
! [X0: $i] :
( p(a)
| ~ f(X0) ),
inference(renaming,[status(thm)],[c_61]) ).
tcf(c_63,plain,
! [X0: $i] :
( f(X0)
| ~ p(a) ),
inference(prop_impl_just,[status(thm)],[c_54]) ).
tcf(c_65,plain,
! [X0: $i] :
( ~ f(y(X0))
| ~ p(a) ),
inference(prop_impl_just,[status(thm)],[c_55]) ).
tcf(c_66,plain,
! [X0: $i] :
( ~ p(a)
| ~ f(y(X0)) ),
inference(renaming,[status(thm)],[c_65]) ).
tcf(c_67,plain,
! [X0: $i] :
( f(y(X0))
| p(a) ),
inference(prop_impl_just,[status(thm)],[c_56]) ).
tcf(c_68,plain,
! [X0: $i] :
( p(a)
| f(y(X0)) ),
inference(renaming,[status(thm)],[c_67]) ).
tcf(c_82,plain,
p(a),
inference(backward_subsumption_resolution,[status(thm)],[c_68,c_62]) ).
tcf(c_84,plain,
! [X0: $i] : ~ f(y(X0)),
inference(backward_subsumption_resolution,[status(thm)],[c_66,c_62]) ).
tcf(c_88,plain,
! [X0: $i] : f(X0),
inference(backward_subsumption_resolution,[status(thm)],[c_63,c_82]) ).
tcf(c_92,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_84,c_88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN315-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Fri Sep 25 00:47:50 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.32 Running first-order theorem proving
% 0.03/0.32 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
% 0.03/0.33
% 0.03/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.03/0.33
% 0.03/0.33 % Detected problem language: tptp
% 0.07/0.33 % Proving...
% 0.66/1.06 % SZS status Started for theBenchmark.p
% 0.66/1.06 % SZS status Unsatisfiable for theBenchmark.p
% 0.66/1.06
% 0.66/1.06 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.66/1.06
% 0.66/1.06 % ------ iProver source info
% 0.66/1.06
% 0.66/1.06 % git: date: 2026-07-19 20:42:38 +0200
% 0.66/1.06 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.66/1.06 % git: non_committed_changes: false
% 0.66/1.06
% 0.66/1.06 % ------ Parsing...% successful
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.66/1.06
% 0.66/1.06 % ------ Preprocessing...%
% 0.66/1.06
% 0.66/1.06 % SZS status Unsatisfiable for theBenchmark.p
% 0.66/1.06
% 0.66/1.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.66/1.06
% 0.66/1.06
%------------------------------------------------------------------------------