%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN346+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n011.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 03:39:48 PM UTC 2026
% Result : Theorem 1.08s 1.27s
% Output : CNFRefutation 1.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 60 ( 23 ~; 13 |; 18 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 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 : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 42 ( 2 sgn 27 !; 15 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1] :
? [X2,X3] :
! [X4,X5] :
( big_f(X1,X4)
=> ( big_f(X2,X5)
=> ( ( big_f(X3,X5)
& big_f(X1,X5) )
| ( big_f(X3,X4)
& big_f(X2,X4) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_17_2) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
? [X2,X3] :
! [X4,X5] :
( big_f(X1,X4)
=> ( big_f(X2,X5)
=> ( ( big_f(X3,X5)
& big_f(X1,X5) )
| ( big_f(X3,X4)
& big_f(X2,X4) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ! [X1] :
? [X2,X3] :
! [X4,X5] :
( big_f(X1,X4)
=> ( big_f(X2,X5)
=> ( ( big_f(X3,X5)
& big_f(X1,X5) )
| ( big_f(X3,X4)
& big_f(X2,X4) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
? [X1] :
! [X2,X3] :
? [X4,X5] :
( big_f(X1,X4)
& big_f(X2,X5)
& ( ~ big_f(X3,X5)
| ~ big_f(X1,X5) )
& ( ~ big_f(X3,X4)
| ~ big_f(X2,X4) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
? [X1] :
! [X2,X3] :
? [X4,X5] :
( big_f(X1,X4)
& big_f(X2,X5)
& ( ~ big_f(X3,X5)
| ~ big_f(X1,X5) )
& ( ~ big_f(X3,X4)
| ~ big_f(X2,X4) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
? [X0] :
! [X1,X2] :
? [X3,X4] :
( big_f(X0,X3)
& big_f(X1,X4)
& ( ~ big_f(X2,X4)
| ~ big_f(X0,X4) )
& ( ~ big_f(X2,X3)
| ~ big_f(X1,X3) ) ),
inference(rectify,[],[f5]) ).
fof(f7,plain,
! [X1,X2] :
( big_f(sK0,sK1(X1,X2))
& big_f(X1,sK2(X1,X2))
& ( ~ big_f(X2,sK2(X1,X2))
| ~ big_f(sK0,sK2(X1,X2)) )
& ( ~ big_f(X2,sK1(X1,X2))
| ~ big_f(X1,sK1(X1,X2)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X3,sK1(X1,X2)),skolemize(X4,sK2(X1,X2))],[f6]) ).
fof(f9,plain,
! [X2,X1] : big_f(X1,sK2(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f10,plain,
! [X2,X1] :
( ~ big_f(X2,sK2(X1,X2))
| ~ big_f(sK0,sK2(X1,X2)) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_50,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ big_f(sK0,sK2(X1,X0))
| ~ big_f(X0,sK2(X1,X0)) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_51,negated_conjecture,
! [X0: $i,X1: $i] : big_f(X0,sK2(X0,X1)),
inference(cnf_transformation,[],[f9]) ).
tcf(c_54,plain,
big_f(sK0,sK2(sK0,sK0)),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_55,plain,
~ big_f(sK0,sK2(sK0,sK0)),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_56,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_55,c_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN346+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 00:55:13 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 1.08/1.27 % SZS status Started for theBenchmark.p
% 1.08/1.27 % SZS status Theorem for theBenchmark.p
% 1.08/1.27
% 1.08/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.08/1.27
% 1.08/1.27 % ------ iProver source info
% 1.08/1.27
% 1.08/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.08/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.08/1.27 % git: non_committed_changes: false
% 1.08/1.27
% 1.08/1.27 % ------ Parsing...
% 1.08/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.08/1.27
% 1.08/1.27 % ------ Preprocessing...%
% 1.08/1.27
% 1.08/1.27 % SZS status Theorem for theBenchmark.p
% 1.08/1.27
% 1.08/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.08/1.27
% 1.08/1.27
%------------------------------------------------------------------------------