%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN731+1 : TPTP v9.3.1. Released v2.5.0.
% 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 03:41:30 PM UTC 2026
% Result : Theorem 0.63s 1.05s
% Output : CNFRefutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 6 ~; 0 |; 3 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 27 ( 0 sgn 19 !; 8 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X0] :
( ! [X1] :
? [X2] : p(X0,X1,X2)
=> ? [X3] : p(X3,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2150) ).
fof(f2,negated_conjecture,
~ ? [X0] :
( ! [X1] :
? [X2] : p(X0,X1,X2)
=> ? [X3] : p(X3,X3,X0) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
! [X0] :
( ! [X1] :
? [X2] : p(X0,X1,X2)
& ! [X3] : ~ p(X3,X3,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
! [X0] :
( ! [X2] :
? [X3] : p(X0,X2,X3)
& ! [X1] : ~ p(X1,X1,X0) ),
inference(rectify,[],[f3]) ).
fof(f5,plain,
! [X0] :
( ! [X2] : p(X0,X2,sK0(X0,X2))
& ! [X1] : ~ p(X1,X1,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X2))],[f4]) ).
fof(f6,plain,
! [X2,X0] : p(X0,X2,sK0(X0,X2)),
inference(cnf_transformation,[],[f5]) ).
fof(f7,plain,
! [X0,X1] : ~ p(X1,X1,X0),
inference(cnf_transformation,[],[f5]) ).
tcf(c_49,negated_conjecture,
! [X0: $i,X1: $i] : ~ p(X0,X0,X1),
inference(cnf_transformation,[],[f7]) ).
tcf(c_50,negated_conjecture,
! [X0: $i,X1: $i] : p(X0,X1,sK0(X0,X1)),
inference(cnf_transformation,[],[f6]) ).
tcf(c_57,plain,
$false,
inference(resolution,[status(thm)],[c_49,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN731+1 : TPTP v9.3.1. Released v2.5.0.
% 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 02:12:35 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
% 0.03/0.32
% 0.03/0.32 % ======== iProver multi-core TPTP/SMT =========
% 0.03/0.32
% 0.03/0.32 % Detected problem language: tptp
% 0.06/0.33 % Proving...
% 0.63/1.05 % SZS status Started for theBenchmark.p
% 0.63/1.05 % SZS status Theorem for theBenchmark.p
% 0.63/1.05
% 0.63/1.05 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.63/1.05
% 0.63/1.05 % ------ iProver source info
% 0.63/1.05
% 0.63/1.05 % git: date: 2026-07-19 20:42:38 +0200
% 0.63/1.05 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.63/1.05 % git: non_committed_changes: false
% 0.63/1.05
% 0.63/1.05 % ------ Parsing...
% 0.63/1.05 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.63/1.05
% 0.63/1.05 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s %
% 0.63/1.05
% 0.63/1.05 % SZS status Theorem for theBenchmark.p
% 0.63/1.05
% 0.63/1.05 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.63/1.05
% 0.63/1.05
%------------------------------------------------------------------------------