%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET068-6 : 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 02:46:22 PM UTC 2026
% Result : Unsatisfiable 4.35s 6.30s
% Output : CNFRefutation 4.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 14 unt; 2 def)
% Number of atoms : 69 ( 10 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 40 ( 19 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn 33 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
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(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(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
fof(f8,axiom,
! [X2,X0,X1] :
( X0 = X2
| X0 = X1
| ~ member(X0,unordered_pair(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
fof(f10,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair3) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
fof(f101,negated_conjecture,
~ subclass(singleton(y),unordered_pair(x,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair2_1) ).
fof(f150,plain,
~ subclass(unordered_pair(y,y),unordered_pair(x,y)),
inference(definition_unfolding,[],[f101,f12]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_144,plain,
! [X0: $i] : subclass(X0,universal_class),
inference(cnf_transformation,[],[f4]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( X0 = X1 )
| ~ member(X0,unordered_pair(X1,X2)) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_150,plain,
! [X0: $i,X1: $i] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_216,negated_conjecture,
~ subclass(unordered_pair(y,y),unordered_pair(x,y)),
inference(cnf_transformation,[],[f150]) ).
tcf(c_2638,definition,
iPr_def_10 = unordered_pair(y,y),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2639,definition,
iPr_def_11 = unordered_pair(x,y),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_2640,negated_conjecture,
~ subclass(iPr_def_10,iPr_def_11),
inference(demodulation,[status(thm)],[c_216,c_2639,c_2638]) ).
tcf(c_3436,plain,
( member(y,iPr_def_11)
| ~ member(y,universal_class) ),
inference(superposition,[status(thm)],[c_2639,c_150]) ).
tcf(c_3540,plain,
! [X0: $i,X1: $i] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_144,c_141]) ).
tcf(c_3578,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),universal_class) ),
inference(superposition,[status(thm)],[c_142,c_3540]) ).
tcf(c_3819,plain,
! [X0: $i] :
( ( X0 = y )
| ~ member(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2638,c_148]) ).
tcf(c_3839,plain,
! [X0: $i] :
( subclass(iPr_def_10,X0)
| ( not_subclass_element(iPr_def_10,X0) = y ) ),
inference(superposition,[status(thm)],[c_142,c_3819]) ).
tcf(c_3864,plain,
not_subclass_element(iPr_def_10,iPr_def_11) = y,
inference(superposition,[status(thm)],[c_3839,c_2640]) ).
tcf(c_3873,plain,
( member(y,universal_class)
| subclass(iPr_def_10,iPr_def_11) ),
inference(superposition,[status(thm)],[c_3864,c_3578]) ).
tcf(c_3874,plain,
( subclass(iPr_def_10,iPr_def_11)
| ~ member(y,iPr_def_11) ),
inference(superposition,[status(thm)],[c_3864,c_143]) ).
tcf(c_3877,plain,
member(y,universal_class),
inference(forward_subsumption_resolution,[status(thm)],[c_3873,c_2640]) ).
tcf(c_3878,plain,
~ member(y,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_3874,c_2640]) ).
tcf(c_3879,plain,
member(y,iPr_def_11),
inference(backward_subsumption_resolution,[status(thm)],[c_3436,c_3877]) ).
tcf(c_3880,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3879,c_3878]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET068-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.37 % Computer : n016.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Thu Sep 24 09:39:05 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.41 Running first-order theorem proving
% 0.14/5.41 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
% 0.14/5.42
% 0.14/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.42
% 0.14/5.42 % Detected problem language: tptp
% 0.14/5.44 % Proving...
% 4.35/6.30 % SZS status Started for theBenchmark.p
% 4.35/6.30 % SZS status Unsatisfiable for theBenchmark.p
% 4.35/6.30
% 4.35/6.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.35/6.30
% 4.35/6.30 % ------ iProver source info
% 4.35/6.30
% 4.35/6.30 % git: date: 2026-07-19 20:42:38 +0200
% 4.35/6.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.35/6.30 % git: non_committed_changes: false
% 4.35/6.30
% 4.35/6.30 % ------ Parsing...% successful
% 4.35/6.30
% 4.35/6.30
% 4.35/6.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.35/6.30
% 4.35/6.30 % ------ 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 %
% 4.35/6.30
% 4.35/6.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.35/6.30
% 4.35/6.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.35/6.30 % ------ Proving...
% 4.35/6.30 % ------ Problem Properties
% 4.35/6.30
% 4.35/6.30 %
% 4.35/6.30 % clauses 70
% 4.35/6.30 % conjectures 1
% 4.35/6.30 % EPR 13
% 4.35/6.30 % Horn 62
% 4.35/6.30 % unary 18
% 4.35/6.30 % binary 32
% 4.35/6.30 % lits 148
% 4.35/6.30 % lits eq 22
% 4.35/6.30 % fd_pure 0
% 4.35/6.30 % fd_pseudo 0
% 4.35/6.30 % fd_cond 3
% 4.35/6.30 % fd_pseudo_cond 3
% 4.35/6.30 % AC symbols 0
% 4.35/6.30
% 4.35/6.30 % ------ Schedule dynamic 5 is on
% 4.35/6.30
% 4.35/6.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.35/6.30
% 4.35/6.30
% 4.35/6.30 % ------
% 4.35/6.30 % Current options:
% 4.35/6.30 % ------
% 4.35/6.30
% 4.35/6.30
% 4.35/6.30 %
% 4.35/6.30
% 4.35/6.30 % ------ Proving...
% 4.35/6.30 %
% 4.35/6.30
% 4.35/6.30 % SZS status Unsatisfiable for theBenchmark.p
% 4.35/6.30
% 4.35/6.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.35/6.30
% 4.35/6.30
%------------------------------------------------------------------------------