%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PUZ062-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n010.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 02:32:52 PM UTC 2026
% Result : Unsatisfiable 1.92s 1.29s
% Output : CNFRefutation 1.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 34
% Syntax : Number of formulae : 93 ( 64 unt; 21 def)
% Number of atoms : 321 ( 56 equ)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 69 ( 34 ~; 35 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 24 ( 22 usr; 22 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 11 con; 0-4 aty)
% Number of variables : 58 ( 0 sgn 58 !; 0 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( c_Finite__Set_Ocard(c_insert(X2,X0,X1),X1) = c_Suc(c_Finite__Set_Ocard(X0,X1))
| c_in(X2,X0,X1)
| ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ocard__insert__disjoint_0) ).
fof(f2,axiom,
! [X2,X0,X1] :
( c_in(c_inter(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Finite__Set_Ofinite__Int_1) ).
fof(f3,axiom,
! [X0] :
( c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(tc_nat,tc_nat)))
| ~ c_in(X0,c_Mutil_Otiling(c_Mutil_Odomino,tc_prod(tc_nat,tc_nat)),tc_set(tc_prod(tc_nat,tc_nat))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Mutil_Otiling__domino__finite_0) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,X2,X3)
| ~ c_in(X0,c_inter(X1,X2,X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OInt__iff_1) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_inter(X3,X1,X2),X2)
| ~ c_in(X0,X3,X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OInt__iff_2) ).
fof(f6,axiom,
! [X2,X0,X1] : c_in(X0,c_insert(X0,X1,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oinsert__iff_1) ).
fof(f7,axiom,
! [X0,X1] : ~ c_in(X0,c_emptyset,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oempty__iff_0) ).
fof(f8,negated_conjecture,
c_in(v_t,c_Mutil_Otiling(c_Mutil_Odomino,tc_prod(tc_nat,tc_nat)),tc_set(tc_prod(tc_nat,tc_nat))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f9,negated_conjecture,
c_Finite__Set_Ocard(c_inter(c_Mutil_Ocoloured(c_0),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)) = c_Finite__Set_Ocard(c_inter(c_Mutil_Ocoloured(c_Suc(c_0)),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f10,negated_conjecture,
c_inter(v_a,v_t,tc_prod(tc_nat,tc_nat)) = c_emptyset,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f11,plain,
c_emptyset = c_inter(v_a,v_t,tc_prod(tc_nat,tc_nat)),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
c_inter(c_Mutil_Ocoloured(c_0),v_a,tc_prod(tc_nat,tc_nat)) = c_insert(c_Pair(v_i,v_j,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f13,negated_conjecture,
c_inter(c_Mutil_Ocoloured(c_Suc(c_0)),v_a,tc_prod(tc_nat,tc_nat)) = c_insert(c_Pair(v_m,v_n,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f14,negated_conjecture,
c_Finite__Set_Ocard(c_insert(c_Pair(v_i,v_j,tc_nat,tc_nat),c_inter(c_Mutil_Ocoloured(c_0),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)) != c_Finite__Set_Ocard(c_insert(c_Pair(v_m,v_n,tc_nat,tc_nat),c_inter(c_Mutil_Ocoloured(c_Suc(c_0)),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(X2,X0,X1)
| ( c_Finite__Set_Ocard(c_insert(X2,X0,X1),X1) = c_Suc(c_Finite__Set_Ocard(X0,X1)) )
| ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_inter(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1))
| ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_64,plain,
! [X0: $i] :
( c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(tc_nat,tc_nat)))
| ~ c_in(X0,c_Mutil_Otiling(c_Mutil_Odomino,tc_prod(tc_nat,tc_nat)),tc_set(tc_prod(tc_nat,tc_nat))) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,X2,X3)
| ~ c_in(X0,c_inter(X1,X2,X3),X3) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(X0,c_inter(X3,X1,X2),X2)
| ~ c_in(X0,X3,X2)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] : c_in(X0,c_insert(X0,X1,X2),X2),
inference(cnf_transformation,[],[f6]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] : ~ c_in(X0,c_emptyset,X1),
inference(cnf_transformation,[],[f7]) ).
tcf(c_69,negated_conjecture,
c_in(v_t,c_Mutil_Otiling(c_Mutil_Odomino,tc_prod(tc_nat,tc_nat)),tc_set(tc_prod(tc_nat,tc_nat))),
inference(cnf_transformation,[],[f8]) ).
tcf(c_70,negated_conjecture,
c_Finite__Set_Ocard(c_inter(c_Mutil_Ocoloured(c_Suc(c_0)),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)) = c_Finite__Set_Ocard(c_inter(c_Mutil_Ocoloured(c_0),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)),
inference(cnf_transformation,[],[f9]) ).
tcf(c_71,negated_conjecture,
c_inter(v_a,v_t,tc_prod(tc_nat,tc_nat)) = c_emptyset,
inference(cnf_transformation,[],[f11]) ).
tcf(c_72,negated_conjecture,
c_insert(c_Pair(v_i,v_j,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)) = c_inter(c_Mutil_Ocoloured(c_0),v_a,tc_prod(tc_nat,tc_nat)),
inference(cnf_transformation,[],[f12]) ).
tcf(c_73,negated_conjecture,
c_insert(c_Pair(v_m,v_n,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)) = c_inter(c_Mutil_Ocoloured(c_Suc(c_0)),v_a,tc_prod(tc_nat,tc_nat)),
inference(cnf_transformation,[],[f13]) ).
tcf(c_74,negated_conjecture,
c_Finite__Set_Ocard(c_insert(c_Pair(v_m,v_n,tc_nat,tc_nat),c_inter(c_Mutil_Ocoloured(c_Suc(c_0)),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)) != c_Finite__Set_Ocard(c_insert(c_Pair(v_i,v_j,tc_nat,tc_nat),c_inter(c_Mutil_Ocoloured(c_0),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)),
inference(cnf_transformation,[],[f14]) ).
tcf(c_157,definition,
iPr_def_10 = c_Pair(v_m,v_n,tc_nat,tc_nat),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_158,definition,
iPr_def_11 = c_Suc(c_0),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_159,definition,
iPr_def_12 = c_Mutil_Ocoloured(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_160,definition,
iPr_def_13 = tc_prod(tc_nat,tc_nat),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_161,definition,
iPr_def_14 = c_inter(iPr_def_12,v_t,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_162,definition,
iPr_def_15 = c_insert(iPr_def_10,iPr_def_14,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_163,definition,
iPr_def_16 = c_Finite__Set_Ocard(iPr_def_15,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_164,definition,
iPr_def_17 = c_Pair(v_i,v_j,tc_nat,tc_nat),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_165,definition,
iPr_def_18 = c_Mutil_Ocoloured(c_0),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_166,definition,
iPr_def_19 = c_inter(iPr_def_18,v_t,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_167,definition,
iPr_def_20 = c_insert(iPr_def_17,iPr_def_19,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_168,definition,
iPr_def_21 = c_Finite__Set_Ocard(iPr_def_20,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_169,definition,
iPr_def_22 = c_insert(iPr_def_10,c_emptyset,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_170,definition,
iPr_def_23 = c_inter(iPr_def_12,v_a,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_171,definition,
iPr_def_24 = c_insert(iPr_def_17,c_emptyset,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_172,definition,
iPr_def_25 = c_inter(iPr_def_18,v_a,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_173,definition,
iPr_def_26 = c_inter(v_a,v_t,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).
tcf(c_174,definition,
iPr_def_27 = c_Finite__Set_Ocard(iPr_def_14,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_27])],[]) ).
tcf(c_175,definition,
iPr_def_28 = c_Finite__Set_Ocard(iPr_def_19,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_28])],[]) ).
tcf(c_176,definition,
iPr_def_29 = c_Mutil_Otiling(c_Mutil_Odomino,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_29])],[]) ).
tcf(c_177,definition,
iPr_def_30 = tc_set(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_30])],[]) ).
tcf(c_178,negated_conjecture,
iPr_def_16 != iPr_def_21,
inference(demodulation,[status(thm)],[c_74,c_165,c_166,c_164,c_167,c_168,c_160,c_158,c_159,c_161,c_157,c_162,c_163]) ).
tcf(c_179,negated_conjecture,
iPr_def_22 = iPr_def_23,
inference(demodulation,[status(thm)],[c_73,c_170,c_169]) ).
tcf(c_180,negated_conjecture,
iPr_def_24 = iPr_def_25,
inference(demodulation,[status(thm)],[c_72,c_172,c_171]) ).
tcf(c_181,negated_conjecture,
iPr_def_26 = c_emptyset,
inference(demodulation,[status(thm)],[c_71,c_173]) ).
tcf(c_182,negated_conjecture,
iPr_def_27 = iPr_def_28,
inference(demodulation,[status(thm)],[c_70,c_175,c_174]) ).
tcf(c_183,negated_conjecture,
c_in(v_t,iPr_def_29,iPr_def_30),
inference(demodulation,[status(thm)],[c_69,c_177,c_176]) ).
tcf(c_522,plain,
! [X0: $i,X1: $i] : ~ c_in(X0,iPr_def_26,X1),
inference(light_normalisation,[status(thm)],[c_68,c_181]) ).
tcf(c_523,plain,
c_Finite__Set_Ocard(iPr_def_19,iPr_def_13) = iPr_def_27,
inference(light_normalisation,[status(thm)],[c_175,c_182]) ).
tcf(c_526,plain,
c_insert(iPr_def_10,iPr_def_26,iPr_def_13) = iPr_def_22,
inference(light_normalisation,[status(thm)],[c_169,c_181]) ).
tcf(c_527,plain,
c_in(iPr_def_10,iPr_def_22,iPr_def_13),
inference(superposition,[status(thm)],[c_526,c_67]) ).
tcf(c_528,plain,
c_inter(iPr_def_12,v_a,iPr_def_13) = iPr_def_22,
inference(light_normalisation,[status(thm)],[c_170,c_179]) ).
tcf(c_529,plain,
c_insert(iPr_def_17,iPr_def_26,iPr_def_13) = iPr_def_24,
inference(light_normalisation,[status(thm)],[c_171,c_181]) ).
tcf(c_530,plain,
c_in(iPr_def_17,iPr_def_24,iPr_def_13),
inference(superposition,[status(thm)],[c_529,c_67]) ).
tcf(c_531,plain,
c_inter(iPr_def_18,v_a,iPr_def_13) = iPr_def_24,
inference(light_normalisation,[status(thm)],[c_172,c_180]) ).
tcf(c_534,plain,
! [X0: $i] :
( c_in(X0,v_t,iPr_def_13)
| ~ c_in(X0,iPr_def_14,iPr_def_13) ),
inference(superposition,[status(thm)],[c_161,c_65]) ).
tcf(c_535,plain,
! [X0: $i] :
( c_in(X0,v_t,iPr_def_13)
| ~ c_in(X0,iPr_def_19,iPr_def_13) ),
inference(superposition,[status(thm)],[c_166,c_65]) ).
tcf(c_536,plain,
! [X0: $i] :
( c_in(X0,v_a,iPr_def_13)
| ~ c_in(X0,iPr_def_22,iPr_def_13) ),
inference(superposition,[status(thm)],[c_528,c_65]) ).
tcf(c_537,plain,
! [X0: $i] :
( c_in(X0,v_a,iPr_def_13)
| ~ c_in(X0,iPr_def_24,iPr_def_13) ),
inference(superposition,[status(thm)],[c_531,c_65]) ).
tcf(c_555,plain,
c_in(iPr_def_10,v_a,iPr_def_13),
inference(superposition,[status(thm)],[c_527,c_536]) ).
tcf(c_560,plain,
c_in(iPr_def_17,v_a,iPr_def_13),
inference(superposition,[status(thm)],[c_530,c_537]) ).
tcf(c_573,plain,
( c_in(iPr_def_14,c_Finite__Set_OFinites,tc_set(iPr_def_13))
| ~ c_in(v_t,c_Finite__Set_OFinites,tc_set(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_161,c_63]) ).
tcf(c_574,plain,
( c_in(iPr_def_19,c_Finite__Set_OFinites,tc_set(iPr_def_13))
| ~ c_in(v_t,c_Finite__Set_OFinites,tc_set(iPr_def_13)) ),
inference(superposition,[status(thm)],[c_166,c_63]) ).
tcf(c_588,plain,
( c_in(iPr_def_19,c_Finite__Set_OFinites,iPr_def_30)
| ~ c_in(v_t,c_Finite__Set_OFinites,iPr_def_30) ),
inference(light_normalisation,[status(thm)],[c_574,c_177]) ).
tcf(c_591,plain,
( c_in(iPr_def_14,c_Finite__Set_OFinites,iPr_def_30)
| ~ c_in(v_t,c_Finite__Set_OFinites,iPr_def_30) ),
inference(light_normalisation,[status(thm)],[c_573,c_177]) ).
tcf(c_616,plain,
! [X0: $i] :
( c_in(X0,iPr_def_26,iPr_def_13)
| ~ c_in(X0,v_a,iPr_def_13)
| ~ c_in(X0,v_t,iPr_def_13) ),
inference(superposition,[status(thm)],[c_173,c_66]) ).
tcf(c_618,plain,
! [X0: $i] :
( ~ c_in(X0,v_a,iPr_def_13)
| ~ c_in(X0,v_t,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_616,c_522]) ).
tcf(c_638,plain,
! [X0: $i] :
( c_in(X0,c_Finite__Set_OFinites,iPr_def_30)
| ~ c_in(X0,iPr_def_29,iPr_def_30) ),
inference(light_normalisation,[status(thm)],[c_64,c_160,c_176,c_177]) ).
tcf(c_645,plain,
c_in(v_t,c_Finite__Set_OFinites,iPr_def_30),
inference(superposition,[status(thm)],[c_183,c_638]) ).
tcf(c_654,plain,
! [X0: $i,X1: $i] :
( c_in(X1,X0,iPr_def_13)
| ( c_Finite__Set_Ocard(c_insert(X1,X0,iPr_def_13),iPr_def_13) = c_Suc(c_Finite__Set_Ocard(X0,iPr_def_13)) )
| ~ c_in(X0,c_Finite__Set_OFinites,iPr_def_30) ),
inference(superposition,[status(thm)],[c_177,c_62]) ).
tcf(c_667,plain,
c_in(iPr_def_19,c_Finite__Set_OFinites,iPr_def_30),
inference(global_subsumption_just,[status(thm)],[c_588,c_588,c_645]) ).
tcf(c_669,plain,
c_in(iPr_def_14,c_Finite__Set_OFinites,iPr_def_30),
inference(global_subsumption_just,[status(thm)],[c_591,c_591,c_645]) ).
tcf(c_675,plain,
~ c_in(iPr_def_10,v_t,iPr_def_13),
inference(superposition,[status(thm)],[c_555,c_618]) ).
tcf(c_676,plain,
~ c_in(iPr_def_17,v_t,iPr_def_13),
inference(superposition,[status(thm)],[c_560,c_618]) ).
tcf(c_735,plain,
! [X0: $i] :
( c_in(X0,iPr_def_19,iPr_def_13)
| ( c_Finite__Set_Ocard(c_insert(X0,iPr_def_19,iPr_def_13),iPr_def_13) = c_Suc(c_Finite__Set_Ocard(iPr_def_19,iPr_def_13)) ) ),
inference(superposition,[status(thm)],[c_667,c_654]) ).
tcf(c_736,plain,
! [X0: $i] :
( c_in(X0,iPr_def_14,iPr_def_13)
| ( c_Finite__Set_Ocard(c_insert(X0,iPr_def_14,iPr_def_13),iPr_def_13) = c_Suc(c_Finite__Set_Ocard(iPr_def_14,iPr_def_13)) ) ),
inference(superposition,[status(thm)],[c_669,c_654]) ).
tcf(c_737,plain,
! [X0: $i] :
( c_in(X0,iPr_def_14,iPr_def_13)
| ( c_Finite__Set_Ocard(c_insert(X0,iPr_def_14,iPr_def_13),iPr_def_13) = c_Suc(iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_736,c_174]) ).
tcf(c_740,plain,
! [X0: $i] :
( c_in(X0,iPr_def_19,iPr_def_13)
| ( c_Finite__Set_Ocard(c_insert(X0,iPr_def_19,iPr_def_13),iPr_def_13) = c_Suc(iPr_def_27) ) ),
inference(light_normalisation,[status(thm)],[c_735,c_523]) ).
tcf(c_806,plain,
! [X0: $i] :
( c_in(X0,v_t,iPr_def_13)
| ( c_Finite__Set_Ocard(c_insert(X0,iPr_def_19,iPr_def_13),iPr_def_13) = c_Suc(iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_740,c_535]) ).
tcf(c_841,plain,
c_Finite__Set_Ocard(c_insert(iPr_def_17,iPr_def_19,iPr_def_13),iPr_def_13) = c_Suc(iPr_def_27),
inference(superposition,[status(thm)],[c_806,c_676]) ).
tcf(c_842,plain,
c_Suc(iPr_def_27) = iPr_def_21,
inference(light_normalisation,[status(thm)],[c_841,c_167,c_168]) ).
tcf(c_976,plain,
! [X0: $i] :
( c_in(X0,iPr_def_14,iPr_def_13)
| ( c_Finite__Set_Ocard(c_insert(X0,iPr_def_14,iPr_def_13),iPr_def_13) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_737,c_842]) ).
tcf(c_983,plain,
! [X0: $i] :
( c_in(X0,v_t,iPr_def_13)
| ( c_Finite__Set_Ocard(c_insert(X0,iPr_def_14,iPr_def_13),iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_976,c_534]) ).
tcf(c_993,plain,
c_Finite__Set_Ocard(c_insert(iPr_def_10,iPr_def_14,iPr_def_13),iPr_def_13) = iPr_def_21,
inference(superposition,[status(thm)],[c_983,c_675]) ).
tcf(c_995,plain,
iPr_def_16 = iPr_def_21,
inference(light_normalisation,[status(thm)],[c_993,c_162,c_163]) ).
tcf(c_996,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_995,c_178]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ062-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n010.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 06:52:27 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 1.92/1.29 % SZS status Started for theBenchmark.p
% 1.92/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.92/1.29
% 1.92/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.92/1.29
% 1.92/1.29 % ------ iProver source info
% 1.92/1.29
% 1.92/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.92/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.92/1.29 % git: non_committed_changes: false
% 1.92/1.29
% 1.92/1.29 % ------ Parsing...% successful
% 1.92/1.29
% 1.92/1.29
% 1.92/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.92/1.29
% 1.92/1.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 1.92/1.29
% 1.92/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.92/1.29
% 1.92/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.92/1.29 % ------ Proving...
% 1.92/1.29 % ------ Problem Properties
% 1.92/1.29
% 1.92/1.29 %
% 1.92/1.29 % clauses 34
% 1.92/1.29 % conjectures 6
% 1.92/1.29 % EPR 7
% 1.92/1.29 % Horn 33
% 1.92/1.29 % unary 29
% 1.92/1.29 % binary 3
% 1.92/1.29 % lits 41
% 1.92/1.29 % lits eq 27
% 1.92/1.29 % fd_pure 0
% 1.92/1.29 % fd_pseudo 0
% 1.92/1.29 % fd_cond 0
% 1.92/1.29 % fd_pseudo_cond 0
% 1.92/1.29 % AC symbols 0
% 1.92/1.29
% 1.92/1.29 % ------ Schedule dynamic 5 is on
% 1.92/1.29
% 1.92/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.92/1.29
% 1.92/1.29
% 1.92/1.29 % ------
% 1.92/1.29 % Current options:
% 1.92/1.29 % ------
% 1.92/1.29
% 1.92/1.29
% 1.92/1.29 %
% 1.92/1.29
% 1.92/1.29 % ------ Proving...
% 1.92/1.29 %
% 1.92/1.29
% 1.92/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.92/1.29
% 1.92/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.92/1.29
% 1.92/1.29
%------------------------------------------------------------------------------