%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN940+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n005.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 03:45:28 PM UTC 2026
% Result : Theorem 1.11s 1.28s
% Output : CNFRefutation 1.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 19 ( 5 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 82 ( 36 ~; 25 |; 15 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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 : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 41 ( 0 sgn 33 !; 8 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1] :
( ! [X2] : q(f(X2))
=> ? [X3,X4] :
( q(X3)
& ( p(f(X4))
=> ( ( r(X4)
=> ( r(X1)
& r(X0) ) )
& p(X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
( ! [X2] : q(f(X2))
=> ? [X3,X4] :
( q(X3)
& ( p(f(X4))
=> ( ( r(X4)
=> ( r(X1)
& r(X0) ) )
& p(X3) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [X0,X1] :
( ! [X2] : q(f(X2))
& ! [X3,X4] :
( ~ q(X3)
| ( p(f(X4))
& ( ( r(X4)
& ( ~ r(X1)
| ~ r(X0) ) )
| ~ p(X3) ) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
? [X0,X1] :
( ! [X4] : q(f(X4))
& ! [X2,X3] :
( ~ q(X2)
| ( p(f(X3))
& ( ( r(X3)
& ( ~ r(X1)
| ~ r(X0) ) )
| ~ p(X2) ) ) ) ),
inference(rectify,[],[f3]) ).
fof(f5,plain,
( ! [X4] : q(f(X4))
& ! [X2,X3] :
( ~ q(X2)
| ( p(f(X3))
& ( ( r(X3)
& ( ~ r(sK1)
| ~ r(sK0) ) )
| ~ p(X2) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f4]) ).
fof(f6,plain,
! [X4] : q(f(X4)),
inference(cnf_transformation,[],[f5]) ).
fof(f7,plain,
! [X2,X3] :
( ~ q(X2)
| p(f(X3)) ),
inference(cnf_transformation,[],[f5]) ).
fof(f8,plain,
! [X2,X3] :
( ~ q(X2)
| r(X3)
| ~ p(X2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f9,plain,
! [X2] :
( ~ q(X2)
| ~ r(sK1)
| ~ r(sK0)
| ~ p(X2) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_49,negated_conjecture,
! [X0: $i] :
( ~ r(sK1)
| ~ r(sK0)
| ~ q(X0)
| ~ p(X0) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_50,negated_conjecture,
! [X0: $i,X1: $i] :
( r(X1)
| ~ q(X0)
| ~ p(X0) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_51,negated_conjecture,
! [X0: $i,X1: $i] :
( p(f(X1))
| ~ q(X0) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_52,negated_conjecture,
! [X0: $i] : q(f(X0)),
inference(cnf_transformation,[],[f6]) ).
tcf(c_69,plain,
! [X0: $i] :
( ~ r(sK1)
| ~ q(X0)
| ~ p(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_49,c_50]) ).
tcf(c_74,plain,
! [X0: $i] :
( ~ q(X0)
| ~ p(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69,c_50]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( ~ q(X1)
| ~ q(f(X0)) ),
inference(resolution,[status(thm)],[c_74,c_51]) ).
tcf(c_84,plain,
! [X1: $i] : ~ q(X1),
inference(global_subsumption_just,[status(thm)],[c_82,c_52,c_82]) ).
tcf(c_85,plain,
! [X0: $i] : ~ q(X0),
inference(renaming,[status(thm)],[c_84]) ).
tcf(c_91,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_52,c_85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN940+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n005.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Fri Sep 25 02:35:48 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.41 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
% 0.12/0.42
% 0.12/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.42
% 0.12/0.42 % Detected problem language: tptp
% 0.12/0.43 % Proving...
% 1.11/1.28 % SZS status Started for theBenchmark.p
% 1.11/1.28 % SZS status Theorem for theBenchmark.p
% 1.11/1.28
% 1.11/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.11/1.28
% 1.11/1.28 % ------ iProver source info
% 1.11/1.28
% 1.11/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.11/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.11/1.28 % git: non_committed_changes: false
% 1.11/1.28
% 1.11/1.28 % ------ Parsing...
% 1.11/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.11/1.28
% 1.11/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s%
% 1.11/1.28
% 1.11/1.28 % SZS status Theorem for theBenchmark.p
% 1.11/1.28
% 1.11/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.11/1.28
% 1.11/1.28
%------------------------------------------------------------------------------