%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET064-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n012.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 02:46:21 PM UTC 2026
% Result : Unsatisfiable 2.88s 1.06s
% Output : CNFRefutation 2.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 11 unt; 1 def)
% Number of atoms : 26 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 10 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 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 : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
fof(f115,axiom,
! [X0] :
( X0 = null_class
| ~ subclass(X0,null_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_of_null_class_is_subclass) ).
fof(f116,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class) ),
inference(reorient_equations,[],[f115]) ).
fof(f117,negated_conjecture,
z != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_null_class_is_unique_1) ).
fof(f118,plain,
null_class != z,
inference(reorient_equations,[],[f117]) ).
fof(f119,negated_conjecture,
~ member(not_subclass_element(z,null_class),z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_null_class_is_unique_2) ).
tcf(c_157,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_244,plain,
! [X0: $i] :
( ( X0 = null_class )
| ~ subclass(X0,null_class) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_245,negated_conjecture,
null_class != z,
inference(cnf_transformation,[],[f118]) ).
tcf(c_246,negated_conjecture,
~ member(not_subclass_element(z,null_class),z),
inference(cnf_transformation,[],[f119]) ).
tcf(c_2899,definition,
iPr_def_10 = not_subclass_element(z,null_class),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2900,negated_conjecture,
~ member(iPr_def_10,z),
inference(demodulation,[status(thm)],[c_246,c_2899]) ).
tcf(c_2901,negated_conjecture,
null_class != z,
inference(demodulation,[status(thm)],[c_245]) ).
tcf(c_3782,plain,
( subclass(z,null_class)
| member(iPr_def_10,z) ),
inference(superposition,[status(thm)],[c_2899,c_157]) ).
tcf(c_3785,plain,
subclass(z,null_class),
inference(forward_subsumption_resolution,[status(thm)],[c_3782,c_2900]) ).
tcf(c_3810,plain,
null_class = z,
inference(superposition,[status(thm)],[c_3785,c_244]) ).
tcf(c_3811,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3810,c_2901]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET064-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Thu Sep 24 09:32:16 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.29 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/0.31 Running first-order theorem proving
% 0.03/0.32 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
% 0.03/0.32
% 0.03/0.32 % ======== iProver multi-core TPTP/SMT =========
% 0.03/0.32
% 0.03/0.32 % Detected problem language: tptp
% 0.06/0.33 % Proving...
% 2.88/1.06 % SZS status Started for theBenchmark.p
% 2.88/1.06 % SZS status Unsatisfiable for theBenchmark.p
% 2.88/1.06
% 2.88/1.06 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.88/1.06
% 2.88/1.06 % ------ iProver source info
% 2.88/1.06
% 2.88/1.06 % git: date: 2026-07-19 20:42:38 +0200
% 2.88/1.06 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.88/1.06 % git: non_committed_changes: false
% 2.88/1.06
% 2.88/1.06 % ------ Parsing...% successful
% 2.88/1.06
% 2.88/1.06
% 2.88/1.06 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.88/1.06
% 2.88/1.06 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 2.88/1.06
% 2.88/1.06 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.88/1.06
% 2.88/1.06 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.88/1.06 % ------ Proving...
% 2.88/1.06 % ------ Problem Properties
% 2.88/1.06
% 2.88/1.06 %
% 2.88/1.06 % clauses 82
% 2.88/1.06 % conjectures 2
% 2.88/1.06 % EPR 18
% 2.88/1.06 % Horn 72
% 2.88/1.06 % unary 21
% 2.88/1.06 % binary 37
% 2.88/1.06 % lits 173
% 2.88/1.06 % lits eq 26
% 2.88/1.06 % fd_pure 0
% 2.88/1.06 % fd_pseudo 0
% 2.88/1.06 % fd_cond 4
% 2.88/1.06 % fd_pseudo_cond 6
% 2.88/1.06 % AC symbols 0
% 2.88/1.06
% 2.88/1.06 % ------ Schedule dynamic 5 is on
% 2.88/1.06
% 2.88/1.06 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.88/1.06
% 2.88/1.06
% 2.88/1.06 % ------
% 2.88/1.06 % Current options:
% 2.88/1.06 % ------
% 2.88/1.06
% 2.88/1.06
% 2.88/1.06 %
% 2.88/1.06
% 2.88/1.06 % ------ Proving...
% 2.88/1.06 %
% 2.88/1.06
% 2.88/1.06 % SZS status Unsatisfiable for theBenchmark.p
% 2.88/1.06
% 2.88/1.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.88/1.06
% 2.88/1.06
%------------------------------------------------------------------------------