%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET059-7 : 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 : n016.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 02:46:18 PM UTC 2026
% Result : Unsatisfiable 2.28s 1.28s
% Output : CNFRefutation 2.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 14 unt; 2 def)
% Number of atoms : 36 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
fof(f7,axiom,
! [X0,X1] :
( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
fof(f107,negated_conjecture,
member(not_subclass_element(x,y),y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equality4_1) ).
fof(f108,negated_conjecture,
member(not_subclass_element(y,x),x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equality4_2) ).
fof(f109,negated_conjecture,
x != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equality4_3) ).
tcf(c_151,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_155,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_230,negated_conjecture,
member(not_subclass_element(x,y),y),
inference(cnf_transformation,[],[f107]) ).
tcf(c_231,negated_conjecture,
member(not_subclass_element(y,x),x),
inference(cnf_transformation,[],[f108]) ).
tcf(c_232,negated_conjecture,
x != y,
inference(cnf_transformation,[],[f109]) ).
tcf(c_2774,definition,
iPr_def_10 = not_subclass_element(y,x),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2775,definition,
iPr_def_11 = not_subclass_element(x,y),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_2776,negated_conjecture,
x != y,
inference(demodulation,[status(thm)],[c_232]) ).
tcf(c_2777,negated_conjecture,
member(iPr_def_10,x),
inference(demodulation,[status(thm)],[c_231,c_2774]) ).
tcf(c_2778,negated_conjecture,
member(iPr_def_11,y),
inference(demodulation,[status(thm)],[c_230,c_2775]) ).
tcf(c_3638,plain,
( subclass(x,y)
| ~ member(iPr_def_11,y) ),
inference(superposition,[status(thm)],[c_2775,c_151]) ).
tcf(c_3639,plain,
( subclass(y,x)
| ~ member(iPr_def_10,x) ),
inference(superposition,[status(thm)],[c_2774,c_151]) ).
tcf(c_3640,plain,
subclass(y,x),
inference(forward_subsumption_resolution,[status(thm)],[c_3639,c_2777]) ).
tcf(c_3641,plain,
subclass(x,y),
inference(forward_subsumption_resolution,[status(thm)],[c_3638,c_2778]) ).
tcf(c_3910,plain,
( ( x = y )
| ~ subclass(x,y) ),
inference(superposition,[status(thm)],[c_3640,c_155]) ).
tcf(c_3914,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3910,c_2776,c_3641]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET059-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n016.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 : Thu Sep 24 09:33:43 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 2.28/1.28 % SZS status Started for theBenchmark.p
% 2.28/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.28/1.28
% 2.28/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.28/1.28
% 2.28/1.28 % ------ iProver source info
% 2.28/1.28
% 2.28/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 2.28/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.28/1.28 % git: non_committed_changes: false
% 2.28/1.28
% 2.28/1.28 % ------ Parsing...% successful
% 2.28/1.28
% 2.28/1.28
% 2.28/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.28/1.28
% 2.28/1.28 % ------ 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 %
% 2.28/1.28
% 2.28/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.28/1.28
% 2.28/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.28/1.28 % ------ Proving...
% 2.28/1.28 % ------ Problem Properties
% 2.28/1.28
% 2.28/1.28 %
% 2.28/1.28 % clauses 77
% 2.28/1.28 % conjectures 3
% 2.28/1.28 % EPR 16
% 2.28/1.28 % Horn 69
% 2.28/1.28 % unary 20
% 2.28/1.28 % binary 36
% 2.28/1.28 % lits 161
% 2.28/1.28 % lits eq 23
% 2.28/1.28 % fd_pure 0
% 2.28/1.28 % fd_pseudo 0
% 2.28/1.28 % fd_cond 3
% 2.28/1.28 % fd_pseudo_cond 3
% 2.28/1.28 % AC symbols 0
% 2.28/1.28
% 2.28/1.28 % ------ Schedule dynamic 5 is on
% 2.28/1.28
% 2.28/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.28/1.28
% 2.28/1.28
% 2.28/1.28 % ------
% 2.28/1.28 % Current options:
% 2.28/1.28 % ------
% 2.28/1.28
% 2.28/1.28
% 2.28/1.28 %
% 2.28/1.28
% 2.28/1.28 % ------ Proving...
% 2.28/1.28 %
% 2.28/1.28
% 2.28/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 2.28/1.28
% 2.28/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.28/1.28
% 2.28/1.28
%------------------------------------------------------------------------------