%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET016-6 : 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 02:46:04 PM UTC 2026
% Result : Unsatisfiable 9.94s 8.32s
% Output : CNFRefutation 9.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 20
% Syntax : Number of formulae : 88 ( 44 unt; 8 def)
% Number of atoms : 292 ( 70 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 89 ( 32 ~; 57 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 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 : 12 ( 10 usr; 9 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 46 ( 0 sgn 46 !; 0 ?; 25 :)
% 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(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(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
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(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pairs_in_universal) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',ordered_pair) ).
fof(f101,negated_conjecture,
ordered_pair(w,x) = ordered_pair(y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordered_pair_determines_components1_1) ).
fof(f102,negated_conjecture,
member(w,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordered_pair_determines_components1_2) ).
fof(f103,negated_conjecture,
w != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordered_pair_determines_components1_3) ).
fof(f108,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f152,plain,
unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))) = unordered_pair(unordered_pair(y,y),unordered_pair(y,unordered_pair(z,z))),
inference(definition_unfolding,[],[f101,f108,f108]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X2)
| ~ subclass(X1,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
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_150,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( X0 = X1 )
| ~ member(X0,unordered_pair(X1,X2)) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_151,plain,
! [X0: $i,X1: $i] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_152,plain,
! [X0: $i,X1: $i] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i] : member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[],[f11]) ).
tcf(c_218,negated_conjecture,
unordered_pair(unordered_pair(w,w),unordered_pair(w,unordered_pair(x,x))) = unordered_pair(unordered_pair(y,y),unordered_pair(y,unordered_pair(z,z))),
inference(cnf_transformation,[],[f152]) ).
tcf(c_219,negated_conjecture,
member(w,universal_class),
inference(cnf_transformation,[],[f102]) ).
tcf(c_220,negated_conjecture,
w != y,
inference(cnf_transformation,[],[f103]) ).
tcf(c_2651,definition,
iPr_def_10 = unordered_pair(w,w),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2652,definition,
iPr_def_11 = unordered_pair(x,x),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_2653,definition,
iPr_def_12 = unordered_pair(w,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_2654,definition,
iPr_def_13 = unordered_pair(iPr_def_10,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_2655,definition,
iPr_def_14 = unordered_pair(y,y),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_2656,definition,
iPr_def_15 = unordered_pair(z,z),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_2657,definition,
iPr_def_16 = unordered_pair(y,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_2658,definition,
iPr_def_17 = unordered_pair(iPr_def_14,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_2659,negated_conjecture,
w != y,
inference(demodulation,[status(thm)],[c_220]) ).
tcf(c_2660,negated_conjecture,
member(w,universal_class),
inference(demodulation,[status(thm)],[c_219]) ).
tcf(c_2661,negated_conjecture,
iPr_def_13 = iPr_def_17,
inference(demodulation,[status(thm)],[c_218,c_2656,c_2657,c_2655,c_2658,c_2652,c_2653,c_2651,c_2654]) ).
tcf(c_3442,plain,
member(iPr_def_10,universal_class),
inference(superposition,[status(thm)],[c_2651,c_153]) ).
tcf(c_3446,plain,
member(iPr_def_12,universal_class),
inference(superposition,[status(thm)],[c_2653,c_153]) ).
tcf(c_3448,plain,
member(iPr_def_14,universal_class),
inference(superposition,[status(thm)],[c_2655,c_153]) ).
tcf(c_3451,plain,
unordered_pair(iPr_def_14,iPr_def_16) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_2658,c_2661]) ).
tcf(c_3486,plain,
( member(w,iPr_def_10)
| ~ member(w,universal_class) ),
inference(superposition,[status(thm)],[c_2651,c_151]) ).
tcf(c_3490,plain,
( member(w,iPr_def_12)
| ~ member(w,universal_class) ),
inference(superposition,[status(thm)],[c_2653,c_151]) ).
tcf(c_3491,plain,
( member(iPr_def_10,iPr_def_13)
| ~ member(iPr_def_10,universal_class) ),
inference(superposition,[status(thm)],[c_2654,c_151]) ).
tcf(c_3493,plain,
( member(iPr_def_14,iPr_def_13)
| ~ member(iPr_def_14,universal_class) ),
inference(superposition,[status(thm)],[c_3451,c_151]) ).
tcf(c_3494,plain,
member(iPr_def_14,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_3493,c_3448]) ).
tcf(c_3497,plain,
member(iPr_def_10,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_3491,c_3442]) ).
tcf(c_3498,plain,
member(w,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_3490,c_2660]) ).
tcf(c_3505,plain,
member(w,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_3486,c_2660]) ).
tcf(c_3519,plain,
( member(iPr_def_12,iPr_def_13)
| ~ member(iPr_def_12,universal_class) ),
inference(superposition,[status(thm)],[c_2654,c_152]) ).
tcf(c_3524,plain,
member(iPr_def_12,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_3519,c_3446]) ).
tcf(c_3644,plain,
! [X0: $i] :
( member(w,X0)
| ~ subclass(iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_3505,c_143]) ).
tcf(c_4173,plain,
! [X0: $i] :
( ( X0 = w )
| ~ member(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_2651,c_150]) ).
tcf(c_4175,plain,
! [X0: $i] :
( ( X0 = y )
| ~ member(X0,iPr_def_14) ),
inference(superposition,[status(thm)],[c_2655,c_150]) ).
tcf(c_4180,plain,
! [X0: $i] :
( ( X0 = iPr_def_16 )
| ( X0 = iPr_def_14 )
| ~ member(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_3451,c_150]) ).
tcf(c_4286,plain,
( ( iPr_def_10 = iPr_def_16 )
| ( iPr_def_10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_3497,c_4180]) ).
tcf(c_4288,plain,
( ( iPr_def_12 = iPr_def_16 )
| ( iPr_def_12 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_3524,c_4180]) ).
tcf(c_4361,plain,
( ( iPr_def_12 = iPr_def_14 )
| ( iPr_def_10 = iPr_def_14 )
| ( iPr_def_10 = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_4286,c_4288]) ).
tcf(c_5149,plain,
member(iPr_def_10,universal_class),
inference(superposition,[status(thm)],[c_2651,c_153]) ).
tcf(c_5352,plain,
unordered_pair(iPr_def_14,iPr_def_16) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_2658,c_2661]) ).
tcf(c_5469,plain,
( member(w,iPr_def_10)
| ~ member(w,universal_class) ),
inference(superposition,[status(thm)],[c_2651,c_151]) ).
tcf(c_5474,plain,
( member(iPr_def_10,iPr_def_13)
| ~ member(iPr_def_10,universal_class) ),
inference(superposition,[status(thm)],[c_2654,c_151]) ).
tcf(c_5480,plain,
member(iPr_def_10,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_5474,c_5149]) ).
tcf(c_5488,plain,
member(w,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_5469,c_2660]) ).
tcf(c_7053,plain,
! [X0: $i] :
( subclass(iPr_def_10,X0)
| ( not_subclass_element(iPr_def_10,X0) = w ) ),
inference(superposition,[status(thm)],[c_144,c_4173]) ).
tcf(c_9413,plain,
! [X0: $i] :
( ( X0 = iPr_def_16 )
| ( X0 = iPr_def_14 )
| ~ member(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_5352,c_150]) ).
tcf(c_9453,plain,
! [X0: $i] :
( member(w,X0)
| ( not_subclass_element(iPr_def_10,X0) = w ) ),
inference(superposition,[status(thm)],[c_7053,c_3644]) ).
tcf(c_9569,plain,
( ( w = y )
| ( not_subclass_element(iPr_def_10,iPr_def_14) = w ) ),
inference(superposition,[status(thm)],[c_9453,c_4175]) ).
tcf(c_9579,plain,
not_subclass_element(iPr_def_10,iPr_def_14) = w,
inference(forward_subsumption_resolution,[status(thm)],[c_9569,c_2659]) ).
tcf(c_9663,plain,
( subclass(iPr_def_10,iPr_def_14)
| ~ member(w,iPr_def_14) ),
inference(superposition,[status(thm)],[c_9579,c_145]) ).
tcf(c_9676,plain,
( subclass(iPr_def_10,iPr_def_14)
| ( iPr_def_10 = iPr_def_14 )
| ( iPr_def_10 = iPr_def_12 )
| ~ member(w,iPr_def_12) ),
inference(superposition,[status(thm)],[c_4361,c_9663]) ).
tcf(c_9680,plain,
( subclass(iPr_def_10,iPr_def_14)
| ( iPr_def_10 = iPr_def_14 )
| ( iPr_def_10 = iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9676,c_3498]) ).
tcf(c_9694,plain,
( member(w,iPr_def_14)
| ( iPr_def_10 = iPr_def_14 )
| ( iPr_def_10 = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_9680,c_3644]) ).
tcf(c_10022,plain,
( ( iPr_def_10 = iPr_def_14 )
| ( iPr_def_10 = iPr_def_12 )
| ( w = y ) ),
inference(superposition,[status(thm)],[c_9694,c_4175]) ).
tcf(c_10024,plain,
( ( iPr_def_10 = iPr_def_14 )
| ( iPr_def_10 = iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10022,c_2659]) ).
tcf(c_10033,plain,
( subclass(iPr_def_10,iPr_def_14)
| ( iPr_def_10 = iPr_def_12 )
| ~ member(w,iPr_def_10) ),
inference(superposition,[status(thm)],[c_10024,c_9663]) ).
tcf(c_10064,plain,
( subclass(iPr_def_10,iPr_def_14)
| ( iPr_def_10 = iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10033,c_3505]) ).
tcf(c_10129,plain,
( ( iPr_def_10 = iPr_def_16 )
| ( iPr_def_10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_5480,c_9413]) ).
tcf(c_10159,plain,
( member(w,iPr_def_14)
| ( iPr_def_10 = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10064,c_3644]) ).
tcf(c_10382,plain,
( ( iPr_def_10 = iPr_def_14 )
| ( unordered_pair(iPr_def_14,iPr_def_10) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_10129,c_5352]) ).
tcf(c_10447,plain,
( ( iPr_def_10 = iPr_def_12 )
| ( w = y ) ),
inference(superposition,[status(thm)],[c_10159,c_4175]) ).
tcf(c_10449,plain,
iPr_def_10 = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_10447,c_2659]) ).
tcf(c_10476,plain,
unordered_pair(iPr_def_10,iPr_def_10) = iPr_def_13,
inference(demodulation,[status(thm)],[c_2654,c_10449]) ).
tcf(c_10638,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ member(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_10476,c_150]) ).
tcf(c_10840,plain,
iPr_def_10 = iPr_def_14,
inference(superposition,[status(thm)],[c_3494,c_10638]) ).
tcf(c_11396,plain,
iPr_def_10 = iPr_def_14,
inference(global_subsumption_just,[status(thm)],[c_10382,c_10840]) ).
tcf(c_11407,plain,
unordered_pair(y,y) = iPr_def_10,
inference(demodulation,[status(thm)],[c_2655,c_11396]) ).
tcf(c_11423,plain,
! [X0: $i] :
( ( X0 = y )
| ~ member(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_11407,c_150]) ).
tcf(c_14190,plain,
w = y,
inference(superposition,[status(thm)],[c_5488,c_11423]) ).
tcf(c_14194,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_14190,c_2659]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET016-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/6.26 % Computer : n002.cluster.edu
% 0.14/6.26 % Model : x86_64 x86_64
% 0.14/6.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/6.26 % Memory : 8046.5625MB
% 0.14/6.26 % OS : Linux 6.8.0-71-generic
% 0.14/6.26 % CPULimit : 300
% 0.14/6.26 % WCLimit : 300
% 0.14/6.26 % DateTime : Thu Sep 24 09:13:12 UTC 2026
% 0.14/6.26 % CPUTime :
% 0.14/6.26 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.20/6.30 Running first-order theorem proving
% 0.20/6.30 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
% 0.20/6.32
% 0.20/6.32 % ======== iProver multi-core TPTP/SMT =========
% 0.20/6.32
% 0.20/6.32 % Detected problem language: tptp
% 0.20/6.34 % Proving...
% 9.94/8.32 % SZS status Started for theBenchmark.p
% 9.94/8.32 % SZS status Unsatisfiable for theBenchmark.p
% 9.94/8.32
% 9.94/8.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 9.94/8.32
% 9.94/8.32 % ------ iProver source info
% 9.94/8.32
% 9.94/8.32 % git: date: 2026-07-19 20:42:38 +0200
% 9.94/8.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 9.94/8.32 % git: non_committed_changes: false
% 9.94/8.32
% 9.94/8.32 % ------ Parsing...% successful
% 9.94/8.32
% 9.94/8.32
% 9.94/8.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 9.94/8.32
% 9.94/8.32 % ------ 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 %
% 9.94/8.32
% 9.94/8.32 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 9.94/8.32
% 9.94/8.32 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 9.94/8.32 % ------ Proving...
% 9.94/8.32 % ------ Problem Properties
% 9.94/8.32
% 9.94/8.32 %
% 9.94/8.32 % clauses 78
% 9.94/8.32 % conjectures 3
% 9.94/8.32 % EPR 15
% 9.94/8.32 % Horn 70
% 9.94/8.32 % unary 26
% 9.94/8.32 % binary 32
% 9.94/8.32 % lits 156
% 9.94/8.32 % lits eq 30
% 9.94/8.32 % fd_pure 0
% 9.94/8.32 % fd_pseudo 0
% 9.94/8.32 % fd_cond 3
% 9.94/8.32 % fd_pseudo_cond 3
% 9.94/8.32 % AC symbols 0
% 9.94/8.32
% 9.94/8.32 % ------ Schedule dynamic 5 is on
% 9.94/8.32
% 9.94/8.32 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.94/8.32
% 9.94/8.32
% 9.94/8.32 % ------
% 9.94/8.32 % Current options:
% 9.94/8.32 % ------
% 9.94/8.32
% 9.94/8.32
% 9.94/8.32 %
% 9.94/8.32
% 9.94/8.32 % ------ Proving...
% 9.94/8.32 %
% 9.94/8.32
% 9.94/8.32 % SZS status Unsatisfiable for theBenchmark.p
% 9.94/8.32
% 9.94/8.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.94/8.32
% 9.94/8.32
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