%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET128-6 : 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 : n019.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 02:46:42 PM UTC 2026
% Result : Unsatisfiable 107.40s 17.97s
% Output : CNFRefutation 107.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 34
% Syntax : Number of formulae : 123 ( 59 unt; 20 def)
% Number of atoms : 360 ( 58 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 141 ( 64 ~; 77 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 24 ( 22 usr; 21 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 104 ( 0 sgn 104 !; 0 ?; 75 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/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/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(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
fof(f21,axiom,
! [X2,X0,X1] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET004-0.ax',complement2) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',union) ).
fof(f67,axiom,
! [X0] :
( member(regular(X0),X0)
| X0 = null_class ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f101,axiom,
! [X0,X1] : union(singleton(X0),X1) = set_builder(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_of_set_builder) ).
fof(f102,negated_conjecture,
union(singleton(x),union(singleton(y),singleton(z))) != set_builder(x,set_builder(y,set_builder(z,null_class))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_building_a_triple_1) ).
fof(f108,plain,
! [X0,X1] : set_builder(X0,X1) = complement(intersection(complement(unordered_pair(X0,X0)),complement(X1))),
inference(definition_unfolding,[],[f101,f26,f12]) ).
fof(f152,plain,
complement(intersection(complement(unordered_pair(x,x)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(unordered_pair(z,z))))))) != complement(intersection(complement(unordered_pair(x,x)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),
inference(definition_unfolding,[],[f102,f26,f12,f26,f12,f12,f108,f108,f108]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_144,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_145,plain,
! [X0: $i] : subclass(X0,universal_class),
inference(cnf_transformation,[],[f4]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_160,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_162,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_163,plain,
! [X0: $i,X1: $i] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_164,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| member(X0,complement(X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_194,plain,
! [X0: $i] :
( member(regular(X0),X0)
| ( X0 = null_class ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_217,negated_conjecture,
complement(intersection(complement(unordered_pair(x,x)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))) != complement(intersection(complement(unordered_pair(x,x)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(unordered_pair(z,z))))))),
inference(cnf_transformation,[],[f152]) ).
tcf(c_2639,definition,
iPr_def_10 = unordered_pair(x,x),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2640,definition,
iPr_def_11 = complement(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_2641,definition,
iPr_def_12 = unordered_pair(y,y),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_2642,definition,
iPr_def_13 = complement(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_2643,definition,
iPr_def_14 = unordered_pair(z,z),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_2644,definition,
iPr_def_15 = complement(iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_2645,definition,
iPr_def_16 = complement(null_class),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_2646,definition,
iPr_def_17 = intersection(iPr_def_15,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_2647,definition,
iPr_def_18 = complement(iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_2648,definition,
iPr_def_19 = complement(iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_2649,definition,
iPr_def_20 = intersection(iPr_def_13,iPr_def_19),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_2650,definition,
iPr_def_21 = complement(iPr_def_20),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_2651,definition,
iPr_def_22 = complement(iPr_def_21),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_2652,definition,
iPr_def_23 = intersection(iPr_def_11,iPr_def_22),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_2653,definition,
iPr_def_24 = complement(iPr_def_23),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_2654,definition,
iPr_def_25 = intersection(iPr_def_13,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_2655,definition,
iPr_def_26 = complement(iPr_def_25),
introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).
tcf(c_2656,definition,
iPr_def_27 = complement(iPr_def_26),
introduced(definition,[new_symbols(definition,[iPr_def_27])],[]) ).
tcf(c_2657,definition,
iPr_def_28 = intersection(iPr_def_11,iPr_def_27),
introduced(definition,[new_symbols(definition,[iPr_def_28])],[]) ).
tcf(c_2658,definition,
iPr_def_29 = complement(iPr_def_28),
introduced(definition,[new_symbols(definition,[iPr_def_29])],[]) ).
tcf(c_2659,negated_conjecture,
iPr_def_24 != iPr_def_29,
inference(demodulation,[status(thm)],[c_217,c_2654,c_2655,c_2656,c_2657,c_2658,c_2645,c_2643,c_2644,c_2646,c_2647,c_2648,c_2641,c_2642,c_2649,c_2650,c_2651,c_2639,c_2640,c_2652,c_2653]) ).
tcf(c_3542,plain,
! [X0: $i] :
( member(X0,iPr_def_15)
| ~ member(X0,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2646,c_160]) ).
tcf(c_3590,plain,
! [X0: $i] :
( subclass(iPr_def_17,X0)
| member(not_subclass_element(iPr_def_17,X0),iPr_def_15) ),
inference(superposition,[status(thm)],[c_143,c_3542]) ).
tcf(c_3645,plain,
subclass(iPr_def_17,iPr_def_15),
inference(superposition,[status(thm)],[c_3590,c_144]) ).
tcf(c_3711,plain,
! [X0: $i,X1: $i] :
( subclass(complement(X0),X1)
| ~ member(not_subclass_element(complement(X0),X1),X0) ),
inference(superposition,[status(thm)],[c_143,c_163]) ).
tcf(c_3712,plain,
! [X0: $i] :
( ( complement(X0) = null_class )
| ~ member(regular(complement(X0)),X0) ),
inference(superposition,[status(thm)],[c_194,c_163]) ).
tcf(c_3765,plain,
( ( complement(universal_class) = null_class )
| ~ member(regular(complement(universal_class)),universal_class) ),
inference(instantiation,[status(thm)],[c_3712]) ).
tcf(c_3877,plain,
! [X0: $i,X1: $i] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_145,c_142]) ).
tcf(c_3915,plain,
! [X0: $i] :
( member(X0,iPr_def_16)
| member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_2645,c_164]) ).
tcf(c_3994,plain,
! [X0: $i] :
( ( X0 = universal_class )
| ~ subclass(universal_class,X0) ),
inference(superposition,[status(thm)],[c_145,c_148]) ).
tcf(c_4002,plain,
( ( iPr_def_15 = iPr_def_17 )
| ~ subclass(iPr_def_15,iPr_def_17) ),
inference(superposition,[status(thm)],[c_3645,c_148]) ).
tcf(c_4053,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),universal_class) ),
inference(superposition,[status(thm)],[c_143,c_3877]) ).
tcf(c_4277,plain,
! [X0: $i] :
( member(X0,iPr_def_17)
| ~ member(X0,iPr_def_16)
| ~ member(X0,iPr_def_15) ),
inference(superposition,[status(thm)],[c_2646,c_162]) ).
tcf(c_8191,plain,
! [X0: $i] :
( member(X0,iPr_def_16)
| member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_2645,c_164]) ).
tcf(c_8505,plain,
! [X0: $i] :
( ( X0 = universal_class )
| ~ subclass(universal_class,X0) ),
inference(superposition,[status(thm)],[c_145,c_148]) ).
tcf(c_11028,plain,
! [X0: $i] : subclass(complement(universal_class),X0),
inference(superposition,[status(thm)],[c_4053,c_3711]) ).
tcf(c_11170,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ~ member(X0,complement(universal_class)) ),
inference(superposition,[status(thm)],[c_11028,c_142]) ).
tcf(c_11189,plain,
! [X0: $i] :
( member(regular(complement(universal_class)),X0)
| ( complement(universal_class) = null_class ) ),
inference(superposition,[status(thm)],[c_194,c_11170]) ).
tcf(c_11203,plain,
( member(regular(complement(universal_class)),universal_class)
| ( complement(universal_class) = null_class ) ),
inference(instantiation,[status(thm)],[c_11189]) ).
tcf(c_11818,plain,
complement(universal_class) = null_class,
inference(global_subsumption_just,[status(thm)],[c_11189,c_3765,c_11203]) ).
tcf(c_11821,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| ~ member(X0,null_class) ),
inference(demodulation,[status(thm)],[c_11170,c_11818]) ).
tcf(c_11834,plain,
! [X0: $i] :
( ~ member(X0,universal_class)
| ~ member(X0,null_class) ),
inference(superposition,[status(thm)],[c_11818,c_163]) ).
tcf(c_11844,plain,
! [X0: $i] : ~ member(X0,null_class),
inference(global_subsumption_just,[status(thm)],[c_11821,c_3877,c_11821,c_11834]) ).
tcf(c_11856,plain,
! [X0: $i] :
( member(X0,iPr_def_16)
| ~ member(X0,universal_class) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3915,c_11844]) ).
tcf(c_11906,plain,
! [X0: $i] :
( subclass(universal_class,X0)
| member(not_subclass_element(universal_class,X0),iPr_def_16) ),
inference(superposition,[status(thm)],[c_143,c_11856]) ).
tcf(c_12025,plain,
subclass(universal_class,iPr_def_16),
inference(superposition,[status(thm)],[c_11906,c_144]) ).
tcf(c_12031,plain,
universal_class = iPr_def_16,
inference(superposition,[status(thm)],[c_12025,c_3994]) ).
tcf(c_12090,plain,
! [X0: $i,X1: $i] :
( member(X0,iPr_def_16)
| ~ member(X0,X1) ),
inference(demodulation,[status(thm)],[c_3877,c_12031]) ).
tcf(c_12944,plain,
! [X0: $i] :
( member(X0,iPr_def_17)
| ~ member(X0,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4277,c_12090]) ).
tcf(c_12951,plain,
! [X0: $i] :
( subclass(iPr_def_15,X0)
| member(not_subclass_element(iPr_def_15,X0),iPr_def_17) ),
inference(superposition,[status(thm)],[c_143,c_12944]) ).
tcf(c_13054,plain,
subclass(iPr_def_15,iPr_def_17),
inference(superposition,[status(thm)],[c_12951,c_144]) ).
tcf(c_25027,plain,
! [X0: $i] :
( member(X0,iPr_def_16)
| ~ member(X0,universal_class) ),
inference(global_subsumption_just,[status(thm)],[c_8191,c_3915,c_11844]) ).
tcf(c_25033,plain,
! [X0: $i] :
( subclass(universal_class,X0)
| member(not_subclass_element(universal_class,X0),iPr_def_16) ),
inference(superposition,[status(thm)],[c_143,c_25027]) ).
tcf(c_25966,plain,
subclass(universal_class,iPr_def_16),
inference(superposition,[status(thm)],[c_25033,c_144]) ).
tcf(c_25985,plain,
universal_class = iPr_def_16,
inference(superposition,[status(thm)],[c_25966,c_8505]) ).
tcf(c_186011,plain,
! [X0: $i] : subclass(X0,iPr_def_16),
inference(light_normalisation,[status(thm)],[c_145,c_25985]) ).
tcf(c_186186,plain,
! [X0: $i] :
( member(X0,iPr_def_15)
| ~ member(X0,iPr_def_17) ),
inference(superposition,[status(thm)],[c_2646,c_160]) ).
tcf(c_186209,plain,
! [X0: $i] :
( subclass(iPr_def_17,X0)
| member(not_subclass_element(iPr_def_17,X0),iPr_def_15) ),
inference(superposition,[status(thm)],[c_143,c_186186]) ).
tcf(c_186259,plain,
! [X0: $i] :
( ~ member(X0,iPr_def_15)
| ~ member(X0,iPr_def_14) ),
inference(superposition,[status(thm)],[c_2644,c_163]) ).
tcf(c_186261,plain,
! [X0: $i] :
( ~ member(X0,iPr_def_19)
| ~ member(X0,iPr_def_18) ),
inference(superposition,[status(thm)],[c_2648,c_163]) ).
tcf(c_186316,plain,
! [X0: $i,X1: $i] :
( member(X0,iPr_def_16)
| ~ member(X0,X1) ),
inference(superposition,[status(thm)],[c_186011,c_142]) ).
tcf(c_186453,plain,
! [X0: $i,X1: $i] :
( member(X0,X1)
| member(X0,complement(X1))
| ~ member(X0,iPr_def_16) ),
inference(light_normalisation,[status(thm)],[c_164,c_25985]) ).
tcf(c_186475,plain,
! [X0: $i,X1: $i] :
( subclass(X0,complement(X1))
| member(not_subclass_element(X0,complement(X1)),X1)
| ~ member(not_subclass_element(X0,complement(X1)),iPr_def_16) ),
inference(superposition,[status(thm)],[c_186453,c_144]) ).
tcf(c_186943,plain,
! [X0: $i,X1: $i] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),iPr_def_16) ),
inference(superposition,[status(thm)],[c_143,c_186316]) ).
tcf(c_187460,plain,
subclass(iPr_def_17,iPr_def_15),
inference(superposition,[status(thm)],[c_186209,c_144]) ).
tcf(c_187469,plain,
( ( iPr_def_15 = iPr_def_17 )
| ~ subclass(iPr_def_15,iPr_def_17) ),
inference(superposition,[status(thm)],[c_187460,c_148]) ).
tcf(c_187663,plain,
iPr_def_15 = iPr_def_17,
inference(global_subsumption_just,[status(thm)],[c_187469,c_4002,c_13054]) ).
tcf(c_187677,plain,
complement(iPr_def_15) = iPr_def_18,
inference(demodulation,[status(thm)],[c_2647,c_187663]) ).
tcf(c_187701,plain,
! [X0: $i] :
( ~ member(X0,iPr_def_18)
| ~ member(X0,iPr_def_15) ),
inference(superposition,[status(thm)],[c_187677,c_163]) ).
tcf(c_187977,plain,
! [X0: $i] :
( subclass(iPr_def_19,X0)
| ~ member(not_subclass_element(iPr_def_19,X0),iPr_def_18) ),
inference(superposition,[status(thm)],[c_143,c_186261]) ).
tcf(c_189299,plain,
! [X0: $i] :
( subclass(iPr_def_15,X0)
| ~ member(not_subclass_element(iPr_def_15,X0),iPr_def_18) ),
inference(superposition,[status(thm)],[c_143,c_187701]) ).
tcf(c_196449,plain,
! [X0: $i,X1: $i] :
( subclass(X0,complement(X1))
| member(not_subclass_element(X0,complement(X1)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_186475,c_186943]) ).
tcf(c_196459,plain,
! [X0: $i] :
( subclass(X0,complement(iPr_def_14))
| member(not_subclass_element(X0,iPr_def_15),iPr_def_14) ),
inference(superposition,[status(thm)],[c_2644,c_196449]) ).
tcf(c_196477,plain,
! [X0: $i] :
( subclass(X0,complement(iPr_def_15))
| ~ member(not_subclass_element(X0,complement(iPr_def_15)),iPr_def_14) ),
inference(superposition,[status(thm)],[c_196449,c_186259]) ).
tcf(c_196540,plain,
subclass(iPr_def_15,complement(iPr_def_18)),
inference(superposition,[status(thm)],[c_196449,c_189299]) ).
tcf(c_196545,plain,
subclass(iPr_def_15,iPr_def_19),
inference(light_normalisation,[status(thm)],[c_196540,c_2648]) ).
tcf(c_196594,plain,
! [X0: $i] :
( subclass(X0,iPr_def_15)
| member(not_subclass_element(X0,iPr_def_15),iPr_def_14) ),
inference(light_normalisation,[status(thm)],[c_196459,c_2644]) ).
tcf(c_196663,plain,
! [X0: $i] :
( subclass(X0,iPr_def_18)
| ~ member(not_subclass_element(X0,iPr_def_18),iPr_def_14) ),
inference(light_normalisation,[status(thm)],[c_196477,c_187677]) ).
tcf(c_198967,plain,
( ( iPr_def_15 = iPr_def_19 )
| ~ subclass(iPr_def_19,iPr_def_15) ),
inference(superposition,[status(thm)],[c_196545,c_148]) ).
tcf(c_216923,plain,
subclass(iPr_def_14,iPr_def_18),
inference(superposition,[status(thm)],[c_143,c_196663]) ).
tcf(c_216927,plain,
! [X0: $i] :
( member(X0,iPr_def_18)
| ~ member(X0,iPr_def_14) ),
inference(superposition,[status(thm)],[c_216923,c_142]) ).
tcf(c_217009,plain,
! [X0: $i] :
( subclass(X0,iPr_def_15)
| member(not_subclass_element(X0,iPr_def_15),iPr_def_18) ),
inference(superposition,[status(thm)],[c_196594,c_216927]) ).
tcf(c_218443,plain,
subclass(iPr_def_19,iPr_def_15),
inference(superposition,[status(thm)],[c_217009,c_187977]) ).
tcf(c_218453,plain,
iPr_def_15 = iPr_def_19,
inference(backward_subsumption_resolution,[status(thm)],[c_198967,c_218443]) ).
tcf(c_218523,plain,
intersection(iPr_def_13,iPr_def_15) = iPr_def_20,
inference(demodulation,[status(thm)],[c_2649,c_218453]) ).
tcf(c_218525,plain,
iPr_def_20 = iPr_def_25,
inference(demodulation,[status(thm)],[c_2654,c_218523]) ).
tcf(c_218573,plain,
complement(iPr_def_20) = iPr_def_26,
inference(demodulation,[status(thm)],[c_2655,c_218525]) ).
tcf(c_218574,plain,
iPr_def_21 = iPr_def_26,
inference(light_normalisation,[status(thm)],[c_218573,c_2650]) ).
tcf(c_218610,plain,
complement(iPr_def_21) = iPr_def_27,
inference(demodulation,[status(thm)],[c_2656,c_218574]) ).
tcf(c_218611,plain,
iPr_def_22 = iPr_def_27,
inference(light_normalisation,[status(thm)],[c_218610,c_2651]) ).
tcf(c_218629,plain,
intersection(iPr_def_11,iPr_def_22) = iPr_def_28,
inference(demodulation,[status(thm)],[c_2657,c_218611]) ).
tcf(c_218630,plain,
iPr_def_23 = iPr_def_28,
inference(light_normalisation,[status(thm)],[c_218629,c_2652]) ).
tcf(c_218659,plain,
complement(iPr_def_23) = iPr_def_29,
inference(demodulation,[status(thm)],[c_2658,c_218630]) ).
tcf(c_218660,plain,
iPr_def_24 = iPr_def_29,
inference(light_normalisation,[status(thm)],[c_218659,c_2653]) ).
tcf(c_218661,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_218660,c_2659]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET128-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n019.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 09:58:04 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 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
% 0.08/0.41
% 0.08/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.41
% 0.08/0.41 % Detected problem language: tptp
% 0.08/0.43 % Proving...
% 107.40/17.97 % SZS status Started for theBenchmark.p
% 107.40/17.97 % SZS status Unsatisfiable for theBenchmark.p
% 107.40/17.97
% 107.40/17.97 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 107.40/17.97
% 107.40/17.97 % ------ iProver source info
% 107.40/17.97
% 107.40/17.97 % git: date: 2026-07-19 20:42:38 +0200
% 107.40/17.97 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 107.40/17.97 % git: non_committed_changes: false
% 107.40/17.97
% 107.40/17.97 % ------ Parsing...% successful
% 107.40/17.97
% 107.40/17.97
% 107.40/17.97 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 107.40/17.97
% 107.40/17.97 % ------ 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 %
% 107.40/17.97
% 107.40/17.97 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 107.40/17.97
% 107.40/17.97 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 107.40/17.97 % ------ Proving...
% 107.40/17.97 % ------ Problem Properties
% 107.40/17.97
% 107.40/17.97 %
% 107.40/17.97 % clauses 88
% 107.40/17.97 % conjectures 1
% 107.40/17.97 % EPR 13
% 107.40/17.97 % Horn 80
% 107.40/17.97 % unary 36
% 107.40/17.97 % binary 32
% 107.40/17.97 % lits 166
% 107.40/17.97 % lits eq 41
% 107.40/17.97 % fd_pure 0
% 107.40/17.97 % fd_pseudo 0
% 107.40/17.97 % fd_cond 3
% 107.40/17.97 % fd_pseudo_cond 3
% 107.40/17.97 % AC symbols 0
% 107.40/17.97
% 107.40/17.97 % ------ Schedule dynamic 5 is on
% 107.40/17.97
% 107.40/17.97 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 107.40/17.97
% 107.40/17.97
% 107.40/17.97 % ------
% 107.40/17.97 % Current options:
% 107.40/17.97 % ------
% 107.40/17.97
% 107.40/17.97
% 107.40/17.97 %
% 107.40/17.97
% 107.40/17.97 % ------ Proving...
% 107.40/17.97 % Proof_search_loop: time out after: 5494 full_loop iterations
% 107.40/17.97
% 107.40/17.97 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 107.40/17.97
% 107.40/17.97
% 107.40/17.97 % ------
% 107.40/17.97 % Current options:
% 107.40/17.97 % ------
% 107.40/17.97
% 107.40/17.97
% 107.40/17.97 %
% 107.40/17.97
% 107.40/17.97 % ------ Proving...
% 107.40/17.97 %
% 107.40/17.97
% 107.40/17.97 % SZS status Unsatisfiable for theBenchmark.p
% 107.40/17.97
% 107.40/17.97 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 107.40/17.97
% 107.40/17.97
%------------------------------------------------------------------------------