TSTP Solution File: SEU360+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU360+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:58:31 EDT 2023
% Result : Theorem 7.39s 2.90s
% Output : CNFRefutation 7.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 41
% Syntax : Number of formulae : 97 ( 18 unt; 30 typ; 0 def)
% Number of atoms : 262 ( 8 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 341 ( 146 ~; 160 |; 13 &)
% ( 4 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 40 ( 22 >; 18 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-3 aty)
% Number of variables : 96 (; 92 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ relstr_set_smaller > relstr_element_smaller > related > in > ex_sup_of_relstr_set > ex_inf_of_relstr_set > element > rel_str > one_sorted_str > lower_bounded_relstr > finite > empty_carrier > empty > antisymmetric_relstr > #nlpp > the_carrier > empty_set > #skF_5 > #skF_11 > #skF_1 > #skF_12 > #skF_7 > #skF_13 > #skF_14 > #skF_6 > #skF_3 > #skF_2 > #skF_9 > #skF_8 > #skF_4 > #skF_10
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff(empty_carrier,type,
empty_carrier: $i > $o ).
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff(related,type,
related: ( $i * $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(the_carrier,type,
the_carrier: $i > $i ).
tff(relstr_set_smaller,type,
relstr_set_smaller: ( $i * $i * $i ) > $o ).
tff(element,type,
element: ( $i * $i ) > $o ).
tff(finite,type,
finite: $i > $o ).
tff('#skF_12',type,
'#skF_12': ( $i * $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i ) > $i ).
tff(antisymmetric_relstr,type,
antisymmetric_relstr: $i > $o ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff('#skF_14',type,
'#skF_14': $i ).
tff(one_sorted_str,type,
one_sorted_str: $i > $o ).
tff(lower_bounded_relstr,type,
lower_bounded_relstr: $i > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff('#skF_3',type,
'#skF_3': $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i ) > $i ).
tff(empty,type,
empty: $i > $o ).
tff('#skF_9',type,
'#skF_9': $i ).
tff(empty_set,type,
empty_set: $i ).
tff(ex_sup_of_relstr_set,type,
ex_sup_of_relstr_set: ( $i * $i ) > $o ).
tff('#skF_8',type,
'#skF_8': $i ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(rel_str,type,
rel_str: $i > $o ).
tff(relstr_element_smaller,type,
relstr_element_smaller: ( $i * $i * $i ) > $o ).
tff(ex_inf_of_relstr_set,type,
ex_inf_of_relstr_set: ( $i * $i ) > $o ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i ) > $i ).
tff(f_156,negated_conjecture,
~ ! [A] :
( ( ~ empty_carrier(A)
& antisymmetric_relstr(A)
& lower_bounded_relstr(A)
& rel_str(A) )
=> ( ex_sup_of_relstr_set(A,empty_set)
& ex_inf_of_relstr_set(A,the_carrier(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_yellow_0) ).
tff(f_63,axiom,
! [A] :
( rel_str(A)
=> one_sorted_str(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
tff(f_44,axiom,
! [A] :
( rel_str(A)
=> ( lower_bounded_relstr(A)
<=> ? [B] :
( element(B,the_carrier(A))
& relstr_element_smaller(A,the_carrier(A),B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_yellow_0) ).
tff(f_132,axiom,
! [A] :
( ( antisymmetric_relstr(A)
& rel_str(A) )
=> ! [B] :
( ex_inf_of_relstr_set(A,B)
<=> ? [C] :
( element(C,the_carrier(A))
& relstr_element_smaller(A,B,C)
& ! [D] :
( element(D,the_carrier(A))
=> ( relstr_element_smaller(A,B,D)
=> related(A,D,C) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_yellow_0) ).
tff(f_142,axiom,
! [A,B] :
( element(A,B)
=> ( empty(B)
| in(A,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
tff(f_58,axiom,
! [A] :
( rel_str(A)
=> ! [B,C] :
( element(C,the_carrier(A))
=> ( relstr_element_smaller(A,B,C)
<=> ! [D] :
( element(D,the_carrier(A))
=> ( in(D,B)
=> related(A,C,D) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_lattice3) ).
tff(f_86,axiom,
? [A] : empty(A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
tff(f_160,axiom,
! [A] :
( empty(A)
=> ( A = empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
tff(f_169,axiom,
! [A] :
( rel_str(A)
=> ! [B] :
( element(B,the_carrier(A))
=> ( relstr_set_smaller(A,empty_set,B)
& relstr_element_smaller(A,empty_set,B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_yellow_0) ).
tff(f_113,axiom,
! [A] :
( ( antisymmetric_relstr(A)
& rel_str(A) )
=> ! [B] :
( ex_sup_of_relstr_set(A,B)
<=> ? [C] :
( element(C,the_carrier(A))
& relstr_set_smaller(A,B,C)
& ! [D] :
( element(D,the_carrier(A))
=> ( relstr_set_smaller(A,B,D)
=> related(A,C,D) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_yellow_0) ).
tff(f_78,axiom,
! [A] :
( ( ~ empty_carrier(A)
& one_sorted_str(A) )
=> ~ empty(the_carrier(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
tff(c_88,plain,
~ empty_carrier('#skF_14'),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_82,plain,
rel_str('#skF_14'),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_1801,plain,
! [A_500] :
( one_sorted_str(A_500)
| ~ rel_str(A_500) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_1809,plain,
one_sorted_str('#skF_14'),
inference(resolution,[status(thm)],[c_82,c_1801]) ).
tff(c_84,plain,
lower_bounded_relstr('#skF_14'),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_86,plain,
antisymmetric_relstr('#skF_14'),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_10,plain,
! [A_4] :
( element('#skF_1'(A_4),the_carrier(A_4))
| ~ lower_bounded_relstr(A_4)
| ~ rel_str(A_4) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_8,plain,
! [A_4] :
( relstr_element_smaller(A_4,the_carrier(A_4),'#skF_1'(A_4))
| ~ lower_bounded_relstr(A_4)
| ~ rel_str(A_4) ),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_74,plain,
! [A_49,B_63,C_70] :
( element('#skF_12'(A_49,B_63,C_70),the_carrier(A_49))
| ex_inf_of_relstr_set(A_49,B_63)
| ~ relstr_element_smaller(A_49,B_63,C_70)
| ~ element(C_70,the_carrier(A_49))
| ~ rel_str(A_49)
| ~ antisymmetric_relstr(A_49) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_72,plain,
! [A_49,B_63,C_70] :
( relstr_element_smaller(A_49,B_63,'#skF_12'(A_49,B_63,C_70))
| ex_inf_of_relstr_set(A_49,B_63)
| ~ relstr_element_smaller(A_49,B_63,C_70)
| ~ element(C_70,the_carrier(A_49))
| ~ rel_str(A_49)
| ~ antisymmetric_relstr(A_49) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_78,plain,
! [A_76,B_77] :
( in(A_76,B_77)
| empty(B_77)
| ~ element(A_76,B_77) ),
inference(cnfTransformation,[status(thm)],[f_142]) ).
tff(c_2041,plain,
! [A_580,C_581,D_582,B_583] :
( related(A_580,C_581,D_582)
| ~ in(D_582,B_583)
| ~ element(D_582,the_carrier(A_580))
| ~ relstr_element_smaller(A_580,B_583,C_581)
| ~ element(C_581,the_carrier(A_580))
| ~ rel_str(A_580) ),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_2121,plain,
! [A_643,C_644,A_645,B_646] :
( related(A_643,C_644,A_645)
| ~ element(A_645,the_carrier(A_643))
| ~ relstr_element_smaller(A_643,B_646,C_644)
| ~ element(C_644,the_carrier(A_643))
| ~ rel_str(A_643)
| empty(B_646)
| ~ element(A_645,B_646) ),
inference(resolution,[status(thm)],[c_78,c_2041]) ).
tff(c_2154,plain,
! [A_651,C_652,B_653] :
( related(A_651,C_652,'#skF_1'(A_651))
| ~ relstr_element_smaller(A_651,B_653,C_652)
| ~ element(C_652,the_carrier(A_651))
| empty(B_653)
| ~ element('#skF_1'(A_651),B_653)
| ~ lower_bounded_relstr(A_651)
| ~ rel_str(A_651) ),
inference(resolution,[status(thm)],[c_10,c_2121]) ).
tff(c_3013,plain,
! [A_818,B_819,C_820] :
( related(A_818,'#skF_12'(A_818,B_819,C_820),'#skF_1'(A_818))
| ~ element('#skF_12'(A_818,B_819,C_820),the_carrier(A_818))
| empty(B_819)
| ~ element('#skF_1'(A_818),B_819)
| ~ lower_bounded_relstr(A_818)
| ex_inf_of_relstr_set(A_818,B_819)
| ~ relstr_element_smaller(A_818,B_819,C_820)
| ~ element(C_820,the_carrier(A_818))
| ~ rel_str(A_818)
| ~ antisymmetric_relstr(A_818) ),
inference(resolution,[status(thm)],[c_72,c_2154]) ).
tff(c_70,plain,
! [A_49,B_63,C_70] :
( ~ related(A_49,'#skF_12'(A_49,B_63,C_70),C_70)
| ex_inf_of_relstr_set(A_49,B_63)
| ~ relstr_element_smaller(A_49,B_63,C_70)
| ~ element(C_70,the_carrier(A_49))
| ~ rel_str(A_49)
| ~ antisymmetric_relstr(A_49) ),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_3019,plain,
! [A_821,B_822] :
( ~ element('#skF_12'(A_821,B_822,'#skF_1'(A_821)),the_carrier(A_821))
| empty(B_822)
| ~ element('#skF_1'(A_821),B_822)
| ~ lower_bounded_relstr(A_821)
| ex_inf_of_relstr_set(A_821,B_822)
| ~ relstr_element_smaller(A_821,B_822,'#skF_1'(A_821))
| ~ element('#skF_1'(A_821),the_carrier(A_821))
| ~ rel_str(A_821)
| ~ antisymmetric_relstr(A_821) ),
inference(resolution,[status(thm)],[c_3013,c_70]) ).
tff(c_3025,plain,
! [B_823,A_824] :
( empty(B_823)
| ~ element('#skF_1'(A_824),B_823)
| ~ lower_bounded_relstr(A_824)
| ex_inf_of_relstr_set(A_824,B_823)
| ~ relstr_element_smaller(A_824,B_823,'#skF_1'(A_824))
| ~ element('#skF_1'(A_824),the_carrier(A_824))
| ~ rel_str(A_824)
| ~ antisymmetric_relstr(A_824) ),
inference(resolution,[status(thm)],[c_74,c_3019]) ).
tff(c_3039,plain,
! [A_825] :
( empty(the_carrier(A_825))
| ex_inf_of_relstr_set(A_825,the_carrier(A_825))
| ~ element('#skF_1'(A_825),the_carrier(A_825))
| ~ antisymmetric_relstr(A_825)
| ~ lower_bounded_relstr(A_825)
| ~ rel_str(A_825) ),
inference(resolution,[status(thm)],[c_8,c_3025]) ).
tff(c_3044,plain,
! [A_826] :
( empty(the_carrier(A_826))
| ex_inf_of_relstr_set(A_826,the_carrier(A_826))
| ~ antisymmetric_relstr(A_826)
| ~ lower_bounded_relstr(A_826)
| ~ rel_str(A_826) ),
inference(resolution,[status(thm)],[c_10,c_3039]) ).
tff(c_120,plain,
! [A_89] :
( one_sorted_str(A_89)
| ~ rel_str(A_89) ),
inference(cnfTransformation,[status(thm)],[f_63]) ).
tff(c_128,plain,
one_sorted_str('#skF_14'),
inference(resolution,[status(thm)],[c_82,c_120]) ).
tff(c_44,plain,
empty('#skF_7'),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_101,plain,
! [A_87] :
( ( empty_set = A_87 )
| ~ empty(A_87) ),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_108,plain,
empty_set = '#skF_7',
inference(resolution,[status(thm)],[c_44,c_101]) ).
tff(c_94,plain,
! [A_79,B_81] :
( relstr_set_smaller(A_79,empty_set,B_81)
| ~ element(B_81,the_carrier(A_79))
| ~ rel_str(A_79) ),
inference(cnfTransformation,[status(thm)],[f_169]) ).
tff(c_175,plain,
! [A_109,B_110] :
( relstr_set_smaller(A_109,'#skF_7',B_110)
| ~ element(B_110,the_carrier(A_109))
| ~ rel_str(A_109) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_94]) ).
tff(c_183,plain,
! [A_4] :
( relstr_set_smaller(A_4,'#skF_7','#skF_1'(A_4))
| ~ lower_bounded_relstr(A_4)
| ~ rel_str(A_4) ),
inference(resolution,[status(thm)],[c_10,c_175]) ).
tff(c_62,plain,
! [A_24,B_38,C_45] :
( element('#skF_10'(A_24,B_38,C_45),the_carrier(A_24))
| ex_sup_of_relstr_set(A_24,B_38)
| ~ relstr_set_smaller(A_24,B_38,C_45)
| ~ element(C_45,the_carrier(A_24))
| ~ rel_str(A_24)
| ~ antisymmetric_relstr(A_24) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_342,plain,
! [A_170,C_171,D_172,B_173] :
( related(A_170,C_171,D_172)
| ~ in(D_172,B_173)
| ~ element(D_172,the_carrier(A_170))
| ~ relstr_element_smaller(A_170,B_173,C_171)
| ~ element(C_171,the_carrier(A_170))
| ~ rel_str(A_170) ),
inference(cnfTransformation,[status(thm)],[f_58]) ).
tff(c_446,plain,
! [A_227,C_228,A_229,B_230] :
( related(A_227,C_228,A_229)
| ~ element(A_229,the_carrier(A_227))
| ~ relstr_element_smaller(A_227,B_230,C_228)
| ~ element(C_228,the_carrier(A_227))
| ~ rel_str(A_227)
| empty(B_230)
| ~ element(A_229,B_230) ),
inference(resolution,[status(thm)],[c_78,c_342]) ).
tff(c_1182,plain,
! [A_409,C_410,C_408,B_407,B_406] :
( related(A_409,C_410,'#skF_10'(A_409,B_407,C_408))
| ~ relstr_element_smaller(A_409,B_406,C_410)
| ~ element(C_410,the_carrier(A_409))
| empty(B_406)
| ~ element('#skF_10'(A_409,B_407,C_408),B_406)
| ex_sup_of_relstr_set(A_409,B_407)
| ~ relstr_set_smaller(A_409,B_407,C_408)
| ~ element(C_408,the_carrier(A_409))
| ~ rel_str(A_409)
| ~ antisymmetric_relstr(A_409) ),
inference(resolution,[status(thm)],[c_62,c_446]) ).
tff(c_1514,plain,
! [A_489,B_490,C_491] :
( related(A_489,'#skF_1'(A_489),'#skF_10'(A_489,B_490,C_491))
| ~ element('#skF_1'(A_489),the_carrier(A_489))
| empty(the_carrier(A_489))
| ~ element('#skF_10'(A_489,B_490,C_491),the_carrier(A_489))
| ex_sup_of_relstr_set(A_489,B_490)
| ~ relstr_set_smaller(A_489,B_490,C_491)
| ~ element(C_491,the_carrier(A_489))
| ~ antisymmetric_relstr(A_489)
| ~ lower_bounded_relstr(A_489)
| ~ rel_str(A_489) ),
inference(resolution,[status(thm)],[c_8,c_1182]) ).
tff(c_58,plain,
! [A_24,C_45,B_38] :
( ~ related(A_24,C_45,'#skF_10'(A_24,B_38,C_45))
| ex_sup_of_relstr_set(A_24,B_38)
| ~ relstr_set_smaller(A_24,B_38,C_45)
| ~ element(C_45,the_carrier(A_24))
| ~ rel_str(A_24)
| ~ antisymmetric_relstr(A_24) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_1520,plain,
! [A_492,B_493] :
( empty(the_carrier(A_492))
| ~ element('#skF_10'(A_492,B_493,'#skF_1'(A_492)),the_carrier(A_492))
| ex_sup_of_relstr_set(A_492,B_493)
| ~ relstr_set_smaller(A_492,B_493,'#skF_1'(A_492))
| ~ element('#skF_1'(A_492),the_carrier(A_492))
| ~ antisymmetric_relstr(A_492)
| ~ lower_bounded_relstr(A_492)
| ~ rel_str(A_492) ),
inference(resolution,[status(thm)],[c_1514,c_58]) ).
tff(c_1526,plain,
! [A_494,B_495] :
( empty(the_carrier(A_494))
| ~ lower_bounded_relstr(A_494)
| ex_sup_of_relstr_set(A_494,B_495)
| ~ relstr_set_smaller(A_494,B_495,'#skF_1'(A_494))
| ~ element('#skF_1'(A_494),the_carrier(A_494))
| ~ rel_str(A_494)
| ~ antisymmetric_relstr(A_494) ),
inference(resolution,[status(thm)],[c_62,c_1520]) ).
tff(c_1530,plain,
! [A_496] :
( empty(the_carrier(A_496))
| ex_sup_of_relstr_set(A_496,'#skF_7')
| ~ element('#skF_1'(A_496),the_carrier(A_496))
| ~ antisymmetric_relstr(A_496)
| ~ lower_bounded_relstr(A_496)
| ~ rel_str(A_496) ),
inference(resolution,[status(thm)],[c_183,c_1526]) ).
tff(c_1535,plain,
! [A_497] :
( empty(the_carrier(A_497))
| ex_sup_of_relstr_set(A_497,'#skF_7')
| ~ antisymmetric_relstr(A_497)
| ~ lower_bounded_relstr(A_497)
| ~ rel_str(A_497) ),
inference(resolution,[status(thm)],[c_10,c_1530]) ).
tff(c_90,plain,
! [A_78] :
( ( empty_set = A_78 )
| ~ empty(A_78) ),
inference(cnfTransformation,[status(thm)],[f_160]) ).
tff(c_111,plain,
! [A_78] :
( ( A_78 = '#skF_7' )
| ~ empty(A_78) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_90]) ).
tff(c_1551,plain,
! [A_498] :
( ( the_carrier(A_498) = '#skF_7' )
| ex_sup_of_relstr_set(A_498,'#skF_7')
| ~ antisymmetric_relstr(A_498)
| ~ lower_bounded_relstr(A_498)
| ~ rel_str(A_498) ),
inference(resolution,[status(thm)],[c_1535,c_111]) ).
tff(c_80,plain,
( ~ ex_inf_of_relstr_set('#skF_14',the_carrier('#skF_14'))
| ~ ex_sup_of_relstr_set('#skF_14',empty_set) ),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_99,plain,
~ ex_sup_of_relstr_set('#skF_14',empty_set),
inference(splitLeft,[status(thm)],[c_80]) ).
tff(c_112,plain,
~ ex_sup_of_relstr_set('#skF_14','#skF_7'),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_99]) ).
tff(c_1557,plain,
( ( the_carrier('#skF_14') = '#skF_7' )
| ~ antisymmetric_relstr('#skF_14')
| ~ lower_bounded_relstr('#skF_14')
| ~ rel_str('#skF_14') ),
inference(resolution,[status(thm)],[c_1551,c_112]) ).
tff(c_1561,plain,
the_carrier('#skF_14') = '#skF_7',
inference(demodulation,[status(thm),theory(equality)],[c_82,c_84,c_86,c_1557]) ).
tff(c_36,plain,
! [A_23] :
( ~ empty(the_carrier(A_23))
| ~ one_sorted_str(A_23)
| empty_carrier(A_23) ),
inference(cnfTransformation,[status(thm)],[f_78]) ).
tff(c_1698,plain,
( ~ empty('#skF_7')
| ~ one_sorted_str('#skF_14')
| empty_carrier('#skF_14') ),
inference(superposition,[status(thm),theory(equality)],[c_1561,c_36]) ).
tff(c_1795,plain,
empty_carrier('#skF_14'),
inference(demodulation,[status(thm),theory(equality)],[c_128,c_44,c_1698]) ).
tff(c_1797,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_1795]) ).
tff(c_1798,plain,
~ ex_inf_of_relstr_set('#skF_14',the_carrier('#skF_14')),
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_3054,plain,
( empty(the_carrier('#skF_14'))
| ~ antisymmetric_relstr('#skF_14')
| ~ lower_bounded_relstr('#skF_14')
| ~ rel_str('#skF_14') ),
inference(resolution,[status(thm)],[c_3044,c_1798]) ).
tff(c_3060,plain,
empty(the_carrier('#skF_14')),
inference(demodulation,[status(thm),theory(equality)],[c_82,c_84,c_86,c_3054]) ).
tff(c_3066,plain,
( ~ one_sorted_str('#skF_14')
| empty_carrier('#skF_14') ),
inference(resolution,[status(thm)],[c_3060,c_36]) ).
tff(c_3077,plain,
empty_carrier('#skF_14'),
inference(demodulation,[status(thm),theory(equality)],[c_1809,c_3066]) ).
tff(c_3079,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88,c_3077]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU360+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 12:10:48 EDT 2023
% 0.13/0.35 % CPUTime :
% 7.39/2.90 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.78/2.91
% 7.78/2.91 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.78/2.94
% 7.78/2.94 Inference rules
% 7.78/2.94 ----------------------
% 7.78/2.94 #Ref : 0
% 7.78/2.94 #Sup : 697
% 7.78/2.94 #Fact : 0
% 7.78/2.94 #Define : 0
% 7.78/2.94 #Split : 1
% 7.78/2.94 #Chain : 0
% 7.78/2.94 #Close : 0
% 7.78/2.94
% 7.78/2.94 Ordering : KBO
% 7.78/2.94
% 7.78/2.94 Simplification rules
% 7.78/2.94 ----------------------
% 7.78/2.94 #Subsume : 98
% 7.78/2.94 #Demod : 360
% 7.78/2.95 #Tautology : 332
% 7.78/2.95 #SimpNegUnit : 3
% 7.78/2.95 #BackRed : 6
% 7.78/2.95
% 7.78/2.95 #Partial instantiations: 0
% 7.78/2.95 #Strategies tried : 1
% 7.78/2.95
% 7.78/2.95 Timing (in seconds)
% 7.78/2.95 ----------------------
% 7.78/2.95 Preprocessing : 0.53
% 7.78/2.95 Parsing : 0.28
% 7.78/2.95 CNF conversion : 0.05
% 7.78/2.95 Main loop : 1.28
% 7.78/2.95 Inferencing : 0.53
% 7.78/2.95 Reduction : 0.32
% 7.78/2.95 Demodulation : 0.21
% 7.78/2.95 BG Simplification : 0.05
% 7.78/2.95 Subsumption : 0.29
% 7.78/2.95 Abstraction : 0.04
% 7.78/2.95 MUC search : 0.00
% 7.78/2.95 Cooper : 0.00
% 7.78/2.95 Total : 1.86
% 7.78/2.95 Index Insertion : 0.00
% 7.78/2.95 Index Deletion : 0.00
% 7.78/2.95 Index Matching : 0.00
% 7.78/2.95 BG Taut test : 0.00
%------------------------------------------------------------------------------