%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN070+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 : n007.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 03:39:05 PM UTC 2026
% Result : Theorem 0.45s 1.30s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 38 ( 6 unt; 0 def)
% Number of atoms : 129 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 154 ( 63 ~; 62 |; 22 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 49 ( 0 sgn 43 !; 6 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ( ( ( big_h(X1,X0)
& big_f(X1) )
=> big_g(X1) )
& big_f(X0) )
=> big_g(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel46_1) ).
fof(f2,axiom,
( ? [X0] :
( ~ big_g(X0)
& big_f(X0) )
=> ? [X1] :
( ! [X2] :
( ( ~ big_g(X2)
& big_f(X2) )
=> big_j(X1,X2) )
& ~ big_g(X1)
& big_f(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel46_2) ).
fof(f3,axiom,
! [X0,X1] :
( ( big_h(X0,X1)
& big_f(X1)
& big_f(X0) )
=> ~ big_j(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel46_3) ).
fof(f4,conjecture,
! [X0] :
( big_f(X0)
=> big_g(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel46) ).
fof(f5,negated_conjecture,
~ ! [X0] :
( big_f(X0)
=> big_g(X0) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( ( big_h(X1,X0)
& big_f(X1)
& ~ big_g(X1) )
| ~ big_f(X0)
| big_g(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f7,plain,
! [X0,X1] :
( ( big_h(X1,X0)
& big_f(X1)
& ~ big_g(X1) )
| ~ big_f(X0)
| big_g(X0) ),
inference(flattening,[],[f6]) ).
fof(f8,plain,
( ! [X0] :
( big_g(X0)
| ~ big_f(X0) )
| ? [X1] :
( ! [X2] :
( big_g(X2)
| ~ big_f(X2)
| big_j(X1,X2) )
& ~ big_g(X1)
& big_f(X1) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f9,plain,
( ! [X0] :
( big_g(X0)
| ~ big_f(X0) )
| ? [X1] :
( ! [X2] :
( big_g(X2)
| ~ big_f(X2)
| big_j(X1,X2) )
& ~ big_g(X1)
& big_f(X1) ) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
! [X0,X1] :
( ~ big_h(X0,X1)
| ~ big_f(X1)
| ~ big_f(X0)
| ~ big_j(X1,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f11,plain,
! [X0,X1] :
( ~ big_h(X0,X1)
| ~ big_f(X1)
| ~ big_f(X0)
| ~ big_j(X1,X0) ),
inference(flattening,[],[f10]) ).
fof(f12,plain,
? [X0] :
( big_f(X0)
& ~ big_g(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f13,plain,
( ! [X2] :
( big_g(X2)
| ~ big_f(X2) )
| ? [X0] :
( ! [X1] :
( big_g(X1)
| ~ big_f(X1)
| big_j(X0,X1) )
& ~ big_g(X0)
& big_f(X0) ) ),
inference(rectify,[],[f9]) ).
fof(f14,plain,
( ! [X2] :
( big_g(X2)
| ~ big_f(X2) )
| ( ! [X1] :
( big_g(X1)
| ~ big_f(X1)
| big_j(sK0,X1) )
& ~ big_g(sK0)
& big_f(sK0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f13]) ).
fof(f15,plain,
( big_f(sK1)
& ~ big_g(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f12]) ).
fof(f16,plain,
! [X0,X1] :
( big_h(X1,X0)
| ~ big_f(X0)
| big_g(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f19,plain,
! [X2,X1] :
( big_g(X2)
| ~ big_f(X2)
| big_g(X1)
| ~ big_f(X1)
| big_j(sK0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f20,plain,
! [X2] :
( big_g(X2)
| ~ big_f(X2)
| ~ big_g(sK0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f21,plain,
! [X2] :
( big_g(X2)
| ~ big_f(X2)
| big_f(sK0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f22,plain,
! [X0,X1] :
( ~ big_h(X0,X1)
| ~ big_f(X1)
| ~ big_f(X0)
| ~ big_j(X1,X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f23,plain,
big_f(sK1),
inference(cnf_transformation,[],[f15]) ).
fof(f24,plain,
~ big_g(sK1),
inference(cnf_transformation,[],[f15]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] :
( big_g(X0)
| big_h(X1,X0)
| ~ big_f(X0) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_52,plain,
! [X0: $i] :
( big_f(sK0)
| big_g(X0)
| ~ big_f(X0) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_53,plain,
! [X0: $i] :
( big_g(X0)
| ~ big_g(sK0)
| ~ big_f(X0) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( big_g(X1)
| big_g(X0)
| big_j(sK0,X0)
| ~ big_f(X1)
| ~ big_f(X0) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( ~ big_f(X1)
| ~ big_f(X0)
| ~ big_j(X1,X0)
| ~ big_h(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_56,negated_conjecture,
~ big_g(sK1),
inference(cnf_transformation,[],[f24]) ).
tcf(c_57,negated_conjecture,
big_f(sK1),
inference(cnf_transformation,[],[f23]) ).
tcf(c_58,plain,
( big_g(sK0)
| big_h(sK0,sK0)
| ~ big_f(sK0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_59,plain,
( big_g(sK0)
| big_j(sK0,sK0)
| ~ big_f(sK0) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_60,plain,
( ~ big_f(sK0)
| ~ big_j(sK0,sK0)
| ~ big_h(sK0,sK0) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_61,plain,
! [X0: $i] :
( ~ big_f(X0)
| big_g(X0) ),
inference(global_subsumption_just,[status(thm)],[c_52,c_52,c_53,c_58,c_59,c_60]) ).
tcf(c_62,plain,
! [X0: $i] :
( big_g(X0)
| ~ big_f(X0) ),
inference(renaming,[status(thm)],[c_61]) ).
tcf(c_70,plain,
! [X0: $i] :
( ~ big_f(X0)
| big_g(X0) ),
inference(global_subsumption_just,[status(thm)],[c_54,c_62]) ).
tcf(c_71,plain,
! [X0: $i] :
( big_g(X0)
| ~ big_f(X0) ),
inference(renaming,[status(thm)],[c_70]) ).
tcf(c_88,plain,
~ big_f(sK1),
inference(resolution,[status(thm)],[c_71,c_56]) ).
tcf(c_89,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_88,c_57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN070+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 00:01:37 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 0.45/1.30 % SZS status Started for theBenchmark.p
% 0.45/1.30 % SZS status Theorem for theBenchmark.p
% 0.45/1.30
% 0.45/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.45/1.30
% 0.45/1.30 % ------ iProver source info
% 0.45/1.30
% 0.45/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 0.45/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.45/1.30 % git: non_committed_changes: false
% 0.45/1.30
% 0.45/1.30 % ------ Parsing...
% 0.45/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 0.45/1.30 %
% 0.45/1.30
% 0.45/1.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s %
% 0.45/1.30
% 0.45/1.30 % SZS status Theorem for theBenchmark.p
% 0.45/1.30
% 0.45/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.45/1.30
% 0.45/1.30
%------------------------------------------------------------------------------