%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET058-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/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 02:46:17 PM UTC 2026
% Result : Unsatisfiable 2.49s 1.07s
% Output : CNFRefutation 2.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 15 unt; 2 def)
% Number of atoms : 41 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 15 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 12 ( 0 sgn 12 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
fof(f7,axiom,
! [X0,X1] :
( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
fof(f101,negated_conjecture,
member(not_subclass_element(y,x),x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equality3_1) ).
fof(f102,negated_conjecture,
x != y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equality3_2) ).
fof(f103,plain,
y != x,
inference(reorient_equations,[],[f102]) ).
fof(f104,negated_conjecture,
~ member(not_subclass_element(x,y),x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equality3_3) ).
tcf(c_144,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_145,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_218,negated_conjecture,
member(not_subclass_element(y,x),x),
inference(cnf_transformation,[],[f101]) ).
tcf(c_219,negated_conjecture,
y != x,
inference(cnf_transformation,[],[f103]) ).
tcf(c_220,negated_conjecture,
~ member(not_subclass_element(x,y),x),
inference(cnf_transformation,[],[f104]) ).
tcf(c_2653,definition,
iPr_def_10 = not_subclass_element(x,y),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2654,definition,
iPr_def_11 = not_subclass_element(y,x),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_2655,negated_conjecture,
~ member(iPr_def_10,x),
inference(demodulation,[status(thm)],[c_220,c_2653]) ).
tcf(c_2656,negated_conjecture,
y != x,
inference(demodulation,[status(thm)],[c_219]) ).
tcf(c_2657,negated_conjecture,
member(iPr_def_11,x),
inference(demodulation,[status(thm)],[c_218,c_2654]) ).
tcf(c_3447,plain,
( subclass(x,y)
| member(iPr_def_10,x) ),
inference(superposition,[status(thm)],[c_2653,c_144]) ).
tcf(c_3448,plain,
subclass(x,y),
inference(forward_subsumption_resolution,[status(thm)],[c_3447,c_2655]) ).
tcf(c_3468,plain,
( subclass(y,x)
| ~ member(iPr_def_11,x) ),
inference(superposition,[status(thm)],[c_2654,c_145]) ).
tcf(c_3470,plain,
subclass(y,x),
inference(forward_subsumption_resolution,[status(thm)],[c_3468,c_2657]) ).
tcf(c_3701,plain,
( ( y = x )
| ~ subclass(y,x) ),
inference(superposition,[status(thm)],[c_3448,c_149]) ).
tcf(c_3705,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3701,c_2656,c_3470]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET058-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Thu Sep 24 09:27:50 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.33 Running first-order theorem proving
% 0.08/0.33 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
% 0.08/0.34
% 0.08/0.34 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.34
% 0.08/0.34 % Detected problem language: tptp
% 0.08/0.34 % Proving...
% 2.49/1.07 % SZS status Started for theBenchmark.p
% 2.49/1.07 % SZS status Unsatisfiable for theBenchmark.p
% 2.49/1.07
% 2.49/1.07 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.49/1.07
% 2.49/1.07 % ------ iProver source info
% 2.49/1.07
% 2.49/1.07 % git: date: 2026-07-19 20:42:38 +0200
% 2.49/1.07 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.49/1.07 % git: non_committed_changes: false
% 2.49/1.07
% 2.49/1.07 % ------ Parsing...% successful
% 2.49/1.07
% 2.49/1.07
% 2.49/1.07 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.49/1.07
% 2.49/1.07 % ------ 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 %
% 2.49/1.07
% 2.49/1.07 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.49/1.07
% 2.49/1.07 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.49/1.07 % ------ Proving...
% 2.49/1.07 % ------ Problem Properties
% 2.49/1.07
% 2.49/1.07 %
% 2.49/1.07 % clauses 72
% 2.49/1.07 % conjectures 3
% 2.49/1.07 % EPR 15
% 2.49/1.07 % Horn 64
% 2.49/1.07 % unary 20
% 2.49/1.07 % binary 32
% 2.49/1.07 % lits 150
% 2.49/1.07 % lits eq 23
% 2.49/1.07 % fd_pure 0
% 2.49/1.07 % fd_pseudo 0
% 2.49/1.07 % fd_cond 3
% 2.49/1.07 % fd_pseudo_cond 3
% 2.49/1.07 % AC symbols 0
% 2.49/1.07
% 2.49/1.07 % ------ Schedule dynamic 5 is on
% 2.49/1.07
% 2.49/1.07 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.49/1.07
% 2.49/1.07
% 2.49/1.07 % ------
% 2.49/1.07 % Current options:
% 2.49/1.07 % ------
% 2.49/1.07
% 2.49/1.07
% 2.49/1.07 %
% 2.49/1.07
% 2.49/1.07 % ------ Proving...
% 2.49/1.07 %
% 2.49/1.07
% 2.49/1.07 % SZS status Unsatisfiable for theBenchmark.p
% 2.49/1.07
% 2.49/1.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.49/1.07
% 2.49/1.07
%------------------------------------------------------------------------------