%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET156-6 : 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 : n002.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 02:46:47 PM UTC 2026
% Result : Unsatisfiable 24.92s 4.25s
% Output : CNFRefutation 24.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 17
% Syntax : Number of formulae : 63 ( 27 unt; 8 def)
% Number of atoms : 184 ( 24 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 89 ( 39 ~; 50 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 58 ( 0 sgn 58 !; 0 ?; 42 :)
% 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(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(f24,axiom,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).
fof(f25,axiom,
! [X0,X1] :
( member(X0,X1)
| member(X0,complement(X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement2) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',union) ).
fof(f122,negated_conjecture,
complement(intersection(x,y)) != union(complement(x),complement(y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_demorgans_law2_1) ).
fof(f185,plain,
complement(intersection(x,y)) != complement(intersection(complement(complement(x)),complement(complement(y)))),
inference(definition_unfolding,[],[f122,f26]) ).
tcf(c_162,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_163,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_164,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_165,plain,
! [X0: $i] : subclass(X0,universal_class),
inference(cnf_transformation,[],[f4]) ).
tcf(c_168,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_183,plain,
! [X0: $i,X1: $i] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| member(X0,complement(X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_255,negated_conjecture,
complement(intersection(complement(complement(x)),complement(complement(y)))) != complement(intersection(x,y)),
inference(cnf_transformation,[],[f185]) ).
tcf(c_2974,definition,
iPr_def_10 = complement(x),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2975,definition,
iPr_def_11 = complement(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_2976,definition,
iPr_def_12 = complement(y),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_2977,definition,
iPr_def_13 = complement(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_2978,definition,
iPr_def_14 = intersection(iPr_def_11,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_2979,definition,
iPr_def_15 = complement(iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_2980,definition,
iPr_def_16 = intersection(x,y),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_2981,definition,
iPr_def_17 = complement(iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_2982,negated_conjecture,
iPr_def_15 != iPr_def_17,
inference(demodulation,[status(thm)],[c_255,c_2980,c_2981,c_2976,c_2977,c_2974,c_2975,c_2978,c_2979]) ).
tcf(c_4000,plain,
! [X0: $i] :
( ~ member(X0,iPr_def_10)
| ~ member(X0,x) ),
inference(superposition,[status(thm)],[c_2974,c_183]) ).
tcf(c_4001,plain,
! [X0: $i] :
( ~ member(X0,iPr_def_12)
| ~ member(X0,y) ),
inference(superposition,[status(thm)],[c_2976,c_183]) ).
tcf(c_4002,plain,
! [X0: $i] :
( ~ member(X0,iPr_def_11)
| ~ member(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2975,c_183]) ).
tcf(c_4003,plain,
! [X0: $i] :
( ~ member(X0,iPr_def_13)
| ~ member(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2977,c_183]) ).
tcf(c_4083,plain,
! [X0: $i] :
( subclass(x,X0)
| ~ member(not_subclass_element(x,X0),iPr_def_10) ),
inference(superposition,[status(thm)],[c_163,c_4000]) ).
tcf(c_4101,plain,
! [X0: $i] :
( subclass(y,X0)
| ~ member(not_subclass_element(y,X0),iPr_def_12) ),
inference(superposition,[status(thm)],[c_163,c_4001]) ).
tcf(c_4112,plain,
! [X0: $i] :
( subclass(iPr_def_11,X0)
| ~ member(not_subclass_element(iPr_def_11,X0),iPr_def_10) ),
inference(superposition,[status(thm)],[c_163,c_4002]) ).
tcf(c_4130,plain,
! [X0: $i] :
( subclass(iPr_def_13,X0)
| ~ member(not_subclass_element(iPr_def_13,X0),iPr_def_12) ),
inference(superposition,[status(thm)],[c_163,c_4003]) ).
tcf(c_4194,plain,
! [X0: $i,X1: $i] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_165,c_162]) ).
tcf(c_4243,plain,
! [X0: $i] :
( member(X0,iPr_def_10)
| member(X0,x)
| ~ member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_2974,c_184]) ).
tcf(c_4244,plain,
! [X0: $i] :
( member(X0,iPr_def_12)
| member(X0,y)
| ~ member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_2976,c_184]) ).
tcf(c_4245,plain,
! [X0: $i] :
( member(X0,iPr_def_11)
| member(X0,iPr_def_10)
| ~ member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_2975,c_184]) ).
tcf(c_4246,plain,
! [X0: $i] :
( member(X0,iPr_def_13)
| member(X0,iPr_def_12)
| ~ member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_2977,c_184]) ).
tcf(c_4356,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),universal_class) ),
inference(superposition,[status(thm)],[c_163,c_4194]) ).
tcf(c_5143,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),iPr_def_10)
| member(not_subclass_element(X0,X1),x) ),
inference(superposition,[status(thm)],[c_4356,c_4243]) ).
tcf(c_5209,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),iPr_def_12)
| member(not_subclass_element(X0,X1),y) ),
inference(superposition,[status(thm)],[c_4356,c_4244]) ).
tcf(c_5304,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),iPr_def_11)
| member(not_subclass_element(X0,X1),iPr_def_10) ),
inference(superposition,[status(thm)],[c_4356,c_4245]) ).
tcf(c_5373,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),iPr_def_13)
| member(not_subclass_element(X0,X1),iPr_def_12) ),
inference(superposition,[status(thm)],[c_4356,c_4246]) ).
tcf(c_32052,plain,
! [X0: $i] :
( subclass(X0,x)
| member(not_subclass_element(X0,x),iPr_def_10) ),
inference(superposition,[status(thm)],[c_5143,c_164]) ).
tcf(c_32157,plain,
subclass(iPr_def_11,x),
inference(superposition,[status(thm)],[c_32052,c_4112]) ).
tcf(c_32165,plain,
( ( x = iPr_def_11 )
| ~ subclass(x,iPr_def_11) ),
inference(superposition,[status(thm)],[c_32157,c_168]) ).
tcf(c_35290,plain,
! [X0: $i] :
( subclass(X0,y)
| member(not_subclass_element(X0,y),iPr_def_12) ),
inference(superposition,[status(thm)],[c_5209,c_164]) ).
tcf(c_35320,plain,
subclass(iPr_def_13,y),
inference(superposition,[status(thm)],[c_35290,c_4130]) ).
tcf(c_35329,plain,
( ( y = iPr_def_13 )
| ~ subclass(y,iPr_def_13) ),
inference(superposition,[status(thm)],[c_35320,c_168]) ).
tcf(c_38230,plain,
! [X0: $i] :
( subclass(X0,iPr_def_11)
| member(not_subclass_element(X0,iPr_def_11),iPr_def_10) ),
inference(superposition,[status(thm)],[c_5304,c_164]) ).
tcf(c_38259,plain,
subclass(x,iPr_def_11),
inference(superposition,[status(thm)],[c_38230,c_4083]) ).
tcf(c_38269,plain,
x = iPr_def_11,
inference(backward_subsumption_resolution,[status(thm)],[c_32165,c_38259]) ).
tcf(c_38352,plain,
intersection(iPr_def_11,y) = iPr_def_16,
inference(demodulation,[status(thm)],[c_2980,c_38269]) ).
tcf(c_39771,plain,
! [X0: $i] :
( subclass(X0,iPr_def_13)
| member(not_subclass_element(X0,iPr_def_13),iPr_def_12) ),
inference(superposition,[status(thm)],[c_5373,c_164]) ).
tcf(c_39795,plain,
subclass(y,iPr_def_13),
inference(superposition,[status(thm)],[c_39771,c_4101]) ).
tcf(c_39805,plain,
y = iPr_def_13,
inference(backward_subsumption_resolution,[status(thm)],[c_35329,c_39795]) ).
tcf(c_39809,plain,
intersection(iPr_def_11,iPr_def_13) = iPr_def_16,
inference(demodulation,[status(thm)],[c_38352,c_39805]) ).
tcf(c_39960,plain,
iPr_def_14 = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_39809,c_2978]) ).
tcf(c_40018,plain,
complement(iPr_def_14) = iPr_def_17,
inference(demodulation,[status(thm)],[c_2981,c_39960]) ).
tcf(c_40019,plain,
iPr_def_15 = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_40018,c_2979]) ).
tcf(c_40020,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_40019,c_2982]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET156-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n002.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 10:06:50 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 24.92/4.25 % SZS status Started for theBenchmark.p
% 24.92/4.25 % SZS status Unsatisfiable for theBenchmark.p
% 24.92/4.25
% 24.92/4.25 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 24.92/4.25
% 24.92/4.25 % ------ iProver source info
% 24.92/4.25
% 24.92/4.25 % git: date: 2026-07-19 20:42:38 +0200
% 24.92/4.25 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 24.92/4.25 % git: non_committed_changes: false
% 24.92/4.25
% 24.92/4.25 % ------ Parsing...% successful
% 24.92/4.25
% 24.92/4.25
% 24.92/4.25 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 24.92/4.25
% 24.92/4.25 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 24.92/4.25
% 24.92/4.25 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 24.92/4.25
% 24.92/4.25 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 24.92/4.25 % ------ Proving...
% 24.92/4.25 % ------ Problem Properties
% 24.92/4.25
% 24.92/4.25 %
% 24.92/4.25 % clauses 90
% 24.92/4.25 % conjectures 1
% 24.92/4.25 % EPR 13
% 24.92/4.25 % Horn 82
% 24.92/4.25 % unary 29
% 24.92/4.25 % binary 40
% 24.92/4.25 % lits 178
% 24.92/4.25 % lits eq 34
% 24.92/4.25 % fd_pure 0
% 24.92/4.25 % fd_pseudo 0
% 24.92/4.25 % fd_cond 3
% 24.92/4.25 % fd_pseudo_cond 7
% 24.92/4.25 % AC symbols 0
% 24.92/4.25
% 24.92/4.25 % ------ Schedule dynamic 5 is on
% 24.92/4.25
% 24.92/4.25 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 24.92/4.25
% 24.92/4.25
% 24.92/4.25 % ------
% 24.92/4.25 % Current options:
% 24.92/4.25 % ------
% 24.92/4.25
% 24.92/4.25
% 24.92/4.25 %
% 24.92/4.25
% 24.92/4.25 % ------ Proving...
% 24.92/4.25 %
% 24.92/4.25
% 24.92/4.25 % SZS status Unsatisfiable for theBenchmark.p
% 24.92/4.25
% 24.92/4.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 24.92/4.25
% 24.92/4.25
%------------------------------------------------------------------------------