%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET168-6 : 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 : n004.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 02:46:49 PM UTC 2026
% Result : Unsatisfiable 3.82s 1.27s
% Output : CNFRefutation 3.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 32 ( 19 unt; 4 def)
% Number of atoms : 67 ( 5 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 40 ( 22 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 28 !; 0 ?; 15 :)
% 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(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
fof(f22,axiom,
! [X2,X0,X1] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection2) ).
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,
member(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_members_of_union3_1) ).
fof(f123,negated_conjecture,
~ member(x,union(y,z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_members_of_union3_2) ).
fof(f186,plain,
~ member(x,complement(intersection(complement(y),complement(z)))),
inference(definition_unfolding,[],[f123,f26]) ).
tcf(c_163,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ subclass(X1,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_166,plain,
! [X0: $i] : subclass(X0,universal_class),
inference(cnf_transformation,[],[f4]) ).
tcf(c_182,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_185,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| member(X0,complement(X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_256,negated_conjecture,
member(x,z),
inference(cnf_transformation,[],[f122]) ).
tcf(c_257,negated_conjecture,
~ member(x,complement(intersection(complement(y),complement(z)))),
inference(cnf_transformation,[],[f186]) ).
tcf(c_2980,definition,
iPr_def_10 = complement(y),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2981,definition,
iPr_def_11 = complement(z),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_2982,definition,
iPr_def_12 = intersection(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_2983,definition,
iPr_def_13 = complement(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_2984,negated_conjecture,
~ member(x,iPr_def_13),
inference(demodulation,[status(thm)],[c_257,c_2981,c_2980,c_2982,c_2983]) ).
tcf(c_2985,negated_conjecture,
member(x,z),
inference(demodulation,[status(thm)],[c_256]) ).
tcf(c_3943,plain,
! [X0: $i] :
( member(X0,iPr_def_11)
| ~ member(X0,iPr_def_12) ),
inference(superposition,[status(thm)],[c_2982,c_182]) ).
tcf(c_3984,plain,
! [X0: $i] :
( ~ member(X0,iPr_def_11)
| ~ member(X0,z) ),
inference(superposition,[status(thm)],[c_2981,c_184]) ).
tcf(c_4118,plain,
! [X0: $i] :
( member(x,X0)
| ~ subclass(z,X0) ),
inference(superposition,[status(thm)],[c_2985,c_163]) ).
tcf(c_4196,plain,
! [X0: $i] :
( member(X0,iPr_def_13)
| member(X0,iPr_def_12)
| ~ member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_2983,c_185]) ).
tcf(c_4289,plain,
member(x,universal_class),
inference(superposition,[status(thm)],[c_166,c_4118]) ).
tcf(c_5129,plain,
( member(x,iPr_def_13)
| member(x,iPr_def_12) ),
inference(superposition,[status(thm)],[c_4289,c_4196]) ).
tcf(c_5130,plain,
member(x,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_5129,c_2984]) ).
tcf(c_5196,plain,
member(x,iPr_def_11),
inference(superposition,[status(thm)],[c_5130,c_3943]) ).
tcf(c_5201,plain,
~ member(x,z),
inference(superposition,[status(thm)],[c_5196,c_3984]) ).
tcf(c_5202,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5201,c_2985]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET168-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n004.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 10:06:20 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.39 Running first-order theorem proving
% 0.08/0.39 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
% 0.08/0.41
% 0.08/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.41
% 0.08/0.41 % Detected problem language: tptp
% 0.08/0.42 % Proving...
% 3.82/1.27 % SZS status Started for theBenchmark.p
% 3.82/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 3.82/1.27
% 3.82/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.82/1.27
% 3.82/1.27 % ------ iProver source info
% 3.82/1.27
% 3.82/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 3.82/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.82/1.27 % git: non_committed_changes: false
% 3.82/1.27
% 3.82/1.27 % ------ Parsing...% successful
% 3.82/1.27
% 3.82/1.27
% 3.82/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.82/1.27
% 3.82/1.27 % ------ 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 %
% 3.82/1.27
% 3.82/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.82/1.27
% 3.82/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.82/1.27 % ------ Proving...
% 3.82/1.27 % ------ Problem Properties
% 3.82/1.27
% 3.82/1.27 %
% 3.82/1.27 % clauses 87
% 3.82/1.27 % conjectures 2
% 3.82/1.27 % EPR 14
% 3.82/1.27 % Horn 79
% 3.82/1.27 % unary 26
% 3.82/1.27 % binary 40
% 3.82/1.27 % lits 175
% 3.82/1.27 % lits eq 29
% 3.82/1.27 % fd_pure 0
% 3.82/1.27 % fd_pseudo 0
% 3.82/1.27 % fd_cond 3
% 3.82/1.27 % fd_pseudo_cond 7
% 3.82/1.27 % AC symbols 0
% 3.82/1.27
% 3.82/1.27 % ------ Schedule dynamic 5 is on
% 3.82/1.27
% 3.82/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.82/1.27
% 3.82/1.27
% 3.82/1.27 % ------
% 3.82/1.27 % Current options:
% 3.82/1.27 % ------
% 3.82/1.27
% 3.82/1.27
% 3.82/1.27 %
% 3.82/1.27
% 3.82/1.27 % ------ Proving...
% 3.82/1.27 %
% 3.82/1.27
% 3.82/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 3.82/1.27
% 3.82/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.82/1.27
% 3.82/1.27
%------------------------------------------------------------------------------