%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN057+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 : 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 03:39:01 PM UTC 2026
% Result : Theorem 1.17s 1.26s
% Output : CNFRefutation 1.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 37 ( 9 unt; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 94 ( 46 ~; 36 |; 6 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 : 8 ( 7 usr; 3 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 25 ( 0 sgn 22 !; 3 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [X0] :
( ~ big_g(X0)
& big_f(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel27_1) ).
fof(f2,axiom,
! [X0] :
( big_f(X0)
=> big_h(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel27_2) ).
fof(f3,axiom,
! [X0] :
( ( big_i(X0)
& big_j(X0) )
=> big_f(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel27_3) ).
fof(f4,axiom,
( ? [X0] :
( ~ big_g(X0)
& big_h(X0) )
=> ! [X1] :
( big_i(X1)
=> ~ big_h(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel27_4) ).
fof(f5,conjecture,
! [X0] :
( big_j(X0)
=> ~ big_i(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel27) ).
fof(f6,negated_conjecture,
~ ! [X0] :
( big_j(X0)
=> ~ big_i(X0) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,plain,
! [X0] :
( ~ big_f(X0)
| big_h(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f8,plain,
! [X0] :
( ~ big_i(X0)
| ~ big_j(X0)
| big_f(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f9,plain,
! [X0] :
( ~ big_i(X0)
| ~ big_j(X0)
| big_f(X0) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
( ! [X0] :
( big_g(X0)
| ~ big_h(X0) )
| ! [X1] :
( ~ big_i(X1)
| ~ big_h(X1) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f11,plain,
? [X0] :
( big_j(X0)
& big_i(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f12,plain,
( ~ big_g(sK0)
& big_f(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f1]) ).
fof(f13,plain,
( ! [X1] :
( big_g(X1)
| ~ big_h(X1) )
| ! [X0] :
( ~ big_i(X0)
| ~ big_h(X0) ) ),
inference(rectify,[],[f10]) ).
fof(f14,plain,
( big_j(sK1)
& big_i(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f11]) ).
fof(f15,plain,
~ big_g(sK0),
inference(cnf_transformation,[],[f12]) ).
fof(f16,plain,
big_f(sK0),
inference(cnf_transformation,[],[f12]) ).
fof(f17,plain,
! [X0] :
( ~ big_f(X0)
| big_h(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f18,plain,
! [X0] :
( ~ big_i(X0)
| ~ big_j(X0)
| big_f(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f19,plain,
! [X0,X1] :
( big_g(X1)
| ~ big_h(X1)
| ~ big_i(X0)
| ~ big_h(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f20,plain,
big_j(sK1),
inference(cnf_transformation,[],[f14]) ).
fof(f21,plain,
big_i(sK1),
inference(cnf_transformation,[],[f14]) ).
tcf(c_49,plain,
big_f(sK0),
inference(cnf_transformation,[],[f16]) ).
tcf(c_50,plain,
~ big_g(sK0),
inference(cnf_transformation,[],[f15]) ).
tcf(c_51,plain,
! [X0: $i] :
( big_h(X0)
| ~ big_f(X0) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_52,plain,
! [X0: $i] :
( big_f(X0)
| ~ big_i(X0)
| ~ big_j(X0) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( big_g(X1)
| ~ big_i(X0)
| ~ big_h(X1)
| ~ big_h(X0) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_54,negated_conjecture,
big_i(sK1),
inference(cnf_transformation,[],[f21]) ).
tcf(c_55,negated_conjecture,
big_j(sK1),
inference(cnf_transformation,[],[f20]) ).
tcf(c_56,plain,
( big_h(sK0)
| ~ big_f(sK0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_58,plain,
! [X0: $i] :
( ~ iPr_def_10
| big_g(X0)
| ~ big_h(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_53]) ).
tcf(c_59,plain,
! [X0: $i] :
( ~ iPr_def_11
| ~ big_h(X0)
| ~ big_i(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_53]) ).
tcf(c_60,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_53]) ).
tcf(c_63,plain,
( big_g(sK0)
| ~ iPr_def_10
| ~ big_h(sK0) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_65,plain,
( ~ iPr_def_11
| ~ big_i(sK1)
| ~ big_h(sK1) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_66,plain,
( big_h(sK1)
| ~ big_f(sK1) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_67,plain,
( big_f(sK1)
| ~ big_i(sK1)
| ~ big_j(sK1) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_68,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_67,c_66,c_65,c_63,c_60,c_56,c_50,c_49,c_54,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN057+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 23:58:28 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 1.17/1.26 % SZS status Started for theBenchmark.p
% 1.17/1.26 % SZS status Theorem for theBenchmark.p
% 1.17/1.26
% 1.17/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.17/1.26
% 1.17/1.26 % ------ iProver source info
% 1.17/1.26
% 1.17/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 1.17/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.17/1.26 % git: non_committed_changes: false
% 1.17/1.26
% 1.17/1.26 % ------ Parsing...
% 1.17/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.17/1.26 %
% 1.17/1.26
% 1.17/1.26 % ------ Preprocessing... sf_s rm: 0 0s sf_e %
% 1.17/1.26
% 1.17/1.26 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.17/1.26 gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.17/1.26 % ------ Proving...
% 1.17/1.26 % ------ Problem Properties
% 1.17/1.26
% 1.17/1.26 %
% 1.17/1.26 % clauses 9
% 1.17/1.26 % conjectures 2
% 1.17/1.26 % EPR 9
% 1.17/1.26 % Horn 8
% 1.17/1.26 % unary 4
% 1.17/1.26 % binary 2
% 1.17/1.26 % lits 17
% 1.17/1.26 % lits eq 0
% 1.17/1.26 % fd_pure 0
% 1.17/1.26 % fd_pseudo 0
% 1.17/1.26 % fd_cond 0
% 1.17/1.26 % fd_pseudo_cond 0
% 1.17/1.26 % AC symbols 0
% 1.17/1.26
% 1.17/1.26 % ------ Schedule EPR non Horn non eq is on
% 1.17/1.26
% 1.17/1.26 % ------ no equalities: superposition off
% 1.17/1.26
% 1.17/1.26 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.17/1.26
% 1.17/1.26
% 1.17/1.26 % ------
% 1.17/1.26 % Current options:
% 1.17/1.26 % ------
% 1.17/1.26
% 1.17/1.26
% 1.17/1.26 %
% 1.17/1.26
% 1.17/1.26 % ------ Proving...
% 1.17/1.26 %
% 1.17/1.26
% 1.17/1.26 % SZS status Theorem for theBenchmark.p
% 1.17/1.26
% 1.17/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.17/1.26
% 1.17/1.26
%------------------------------------------------------------------------------