%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN057-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n009.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 : Unsatisfiable 1.54s 1.19s
% Output : CNFRefutation 1.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 9 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 53 ( 28 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 10 ( 0 sgn 10 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
big_f(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f2,axiom,
~ big_g(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f3,axiom,
! [X0] :
( big_h(X0)
| ~ big_f(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f4,axiom,
! [X0] :
( big_f(X0)
| ~ big_i(X0)
| ~ big_j(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f5,axiom,
! [X0,X1] :
( ~ big_h(X1)
| ~ big_i(X1)
| big_g(X0)
| ~ big_h(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f6,negated_conjecture,
big_j(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f7,negated_conjecture,
big_i(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
tcf(c_56,negated_conjecture,
big_j(b),
inference(cnf_transformation,[],[f6]) ).
tcf(c_57,negated_conjecture,
big_i(b),
inference(cnf_transformation,[],[f7]) ).
tcf(c_58,plain,
! [X0: $i] :
( big_f(X0)
| ~ big_i(X0)
| ~ big_j(X0) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] :
( big_g(X0)
| ~ big_i(X1)
| ~ big_h(X1)
| ~ big_h(X0) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_60,plain,
! [X0: $i] :
( big_h(X0)
| ~ big_f(X0) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_61,plain,
big_f(a),
inference(cnf_transformation,[],[f1]) ).
tcf(c_62,plain,
~ big_g(a),
inference(cnf_transformation,[],[f2]) ).
tcf(c_63,plain,
( big_h(a)
| ~ big_f(a) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_65,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ big_h(X0)
| ~ big_i(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_59]) ).
tcf(c_66,plain,
! [X0: $i] :
( ~ iPr_def_11
| big_g(X0)
| ~ big_h(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_59]) ).
tcf(c_67,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_59]) ).
tcf(c_68,plain,
( big_g(a)
| ~ iPr_def_11
| ~ big_h(a) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_70,plain,
( ~ iPr_def_10
| ~ big_i(b)
| ~ big_h(b) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_71,plain,
( big_h(b)
| ~ big_f(b) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_72,plain,
( big_f(b)
| ~ big_i(b)
| ~ big_j(b) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_73,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_72,c_71,c_70,c_68,c_67,c_63,c_62,c_61,c_56,c_57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN057-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n009.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 23:58:28 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running EPR theorem proving
% 0.13/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_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
% 0.13/0.41 % Proving...
% 1.54/1.19 % SZS status Started for theBenchmark.p
% 1.54/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 1.54/1.19
% 1.54/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.54/1.19
% 1.54/1.19 % ------ iProver source info
% 1.54/1.19
% 1.54/1.19 % git: date: 2026-07-19 20:42:38 +0200
% 1.54/1.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.54/1.19 % git: non_committed_changes: false
% 1.54/1.19
% 1.54/1.19 % ------ Parsing...% successful
% 1.54/1.19
% 1.54/1.19
% 1.54/1.19 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.54/1.19 %
% 1.54/1.19
% 1.54/1.19 % ------ Preprocessing... sf_s rm: 0 0s sf_e %
% 1.54/1.19
% 1.54/1.19 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.54/1.19 gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.54/1.19 % ------ Proving...
% 1.54/1.19 % ------ Problem Properties
% 1.54/1.19
% 1.54/1.19 %
% 1.54/1.19 % clauses 9
% 1.54/1.19 % conjectures 2
% 1.54/1.19 % EPR 9
% 1.54/1.19 % Horn 8
% 1.54/1.19 % unary 4
% 1.54/1.19 % binary 2
% 1.54/1.19 % lits 17
% 1.54/1.19 % lits eq 0
% 1.54/1.19 % fd_pure 0
% 1.54/1.19 % fd_pseudo 0
% 1.54/1.19 % fd_cond 0
% 1.54/1.19 % fd_pseudo_cond 0
% 1.54/1.19 % AC symbols 0
% 1.54/1.19
% 1.54/1.19 % ------ Schedule EPR non Horn non eq is on
% 1.54/1.19
% 1.54/1.19 % ------ no equalities: superposition off
% 1.54/1.19
% 1.54/1.19 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.54/1.19
% 1.54/1.19
% 1.54/1.19 % ------
% 1.54/1.19 % Current options:
% 1.54/1.19 % ------
% 1.54/1.19
% 1.54/1.19
% 1.54/1.19 %
% 1.54/1.19
% 1.54/1.19 % ------ Proving...
% 1.54/1.19 %
% 1.54/1.19
% 1.54/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 1.54/1.19
% 1.54/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.54/1.19
% 1.54/1.19
%------------------------------------------------------------------------------