%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN327+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n014.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 03:39:43 PM UTC 2026
% Result : Theorem 1.84s 1.27s
% Output : CNFRefutation 1.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 66 ( 27 ~; 15 |; 16 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 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 : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 20 ( 0 sgn 14 !; 6 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
? [X1] :
! [X2] :
( big_f(X1,X0)
=> ( ( big_f(X0,X1)
=> ( ~ big_f(X0,X2)
=> ( big_f(X2,X1)
& big_f(X1,X0) ) ) )
& ( big_f(X0,X2)
=> big_f(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_12_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
? [X1] :
! [X2] :
( big_f(X1,X0)
=> ( ( big_f(X0,X1)
=> ( ~ big_f(X0,X2)
=> ( big_f(X2,X1)
& big_f(X1,X0) ) ) )
& ( big_f(X0,X2)
=> big_f(X0,X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [X0] :
! [X1] :
? [X2] :
( big_f(X1,X0)
& ( ( big_f(X0,X1)
& ~ big_f(X0,X2)
& ( ~ big_f(X2,X1)
| ~ big_f(X1,X0) ) )
| ( big_f(X0,X2)
& ~ big_f(X0,X1) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
? [X0] :
! [X1] :
? [X2] :
( big_f(X1,X0)
& ( ( big_f(X0,X1)
& ~ big_f(X0,X2)
& ( ~ big_f(X2,X1)
| ~ big_f(X1,X0) ) )
| ( big_f(X0,X2)
& ~ big_f(X0,X1) ) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
! [X1] :
( big_f(X1,sK0)
& ( ( big_f(sK0,X1)
& ~ big_f(sK0,sK1(X1))
& ( ~ big_f(sK1(X1),X1)
| ~ big_f(X1,sK0) ) )
| ( big_f(sK0,sK1(X1))
& ~ big_f(sK0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X2,sK1(X1))],[f4]) ).
fof(f6,plain,
! [X1] : big_f(X1,sK0),
inference(cnf_transformation,[],[f5]) ).
fof(f9,plain,
! [X1] :
( ~ big_f(sK1(X1),X1)
| ~ big_f(X1,sK0)
| big_f(sK0,sK1(X1)) ),
inference(cnf_transformation,[],[f5]) ).
fof(f11,plain,
! [X1] :
( ~ big_f(sK0,sK1(X1))
| ~ big_f(sK0,X1) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_50,negated_conjecture,
! [X0: $i] :
( ~ big_f(sK0,X0)
| ~ big_f(sK0,sK1(X0)) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_51,negated_conjecture,
! [X0: $i] :
( big_f(sK0,sK1(X0))
| ~ big_f(X0,sK0)
| ~ big_f(sK1(X0),X0) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_53,negated_conjecture,
! [X0: $i] : big_f(X0,sK0),
inference(cnf_transformation,[],[f6]) ).
tcf(c_54,plain,
big_f(sK0,sK0),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_55,plain,
( ~ big_f(sK0,sK0)
| ~ big_f(sK0,sK1(sK0)) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_56,plain,
( big_f(sK0,sK1(sK0))
| ~ big_f(sK0,sK0)
| ~ big_f(sK1(sK0),sK0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_123,negated_conjecture,
! [X0: $i] : big_f(X0,sK0),
inference(demodulation,[status(thm)],[c_53]) ).
tcf(c_129,plain,
big_f(sK1(sK0),sK0),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_130,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_129,c_56,c_55,c_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN327+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 00:50:18 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 1.84/1.27 % SZS status Started for theBenchmark.p
% 1.84/1.27 % SZS status Theorem for theBenchmark.p
% 1.84/1.27
% 1.84/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.84/1.27
% 1.84/1.27 % ------ iProver source info
% 1.84/1.27
% 1.84/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.84/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.84/1.27 % git: non_committed_changes: false
% 1.84/1.27
% 1.84/1.27 % ------ Parsing...
% 1.84/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.84/1.27
% 1.84/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.84/1.27
% 1.84/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.84/1.27 % ------ Proving...
% 1.84/1.27 % ------ Problem Properties
% 1.84/1.27
% 1.84/1.27 %
% 1.84/1.27 % clauses 4
% 1.84/1.27 % conjectures 3
% 1.84/1.27 % EPR 1
% 1.84/1.27 % Horn 3
% 1.84/1.27 % unary 1
% 1.84/1.27 % binary 3
% 1.84/1.27 % lits 7
% 1.84/1.27 % lits eq 0
% 1.84/1.27 % fd_pure 0
% 1.84/1.27 % fd_pseudo 0
% 1.84/1.27 % fd_cond 0
% 1.84/1.27 % fd_pseudo_cond 0
% 1.84/1.27 % AC symbols 0
% 1.84/1.27
% 1.84/1.27 % ------ Schedule dynamic 5 is on
% 1.84/1.27
% 1.84/1.27 % ------ no equalities: superposition off
% 1.84/1.27
% 1.84/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.84/1.27
% 1.84/1.27
% 1.84/1.27 % ------
% 1.84/1.27 % Current options:
% 1.84/1.27 % ------
% 1.84/1.27
% 1.84/1.27
% 1.84/1.27 %
% 1.84/1.27
% 1.84/1.27 % ------ Proving...
% 1.84/1.27 %
% 1.84/1.27
% 1.84/1.27 % SZS status Theorem for theBenchmark.p
% 1.84/1.27
% 1.84/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.84/1.27
% 1.84/1.27
%------------------------------------------------------------------------------