TSTP Solution File: GEO201+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GEO201+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 : n005.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 10:38:37 EDT 2023
% Result : Theorem 6.45s 2.53s
% Output : CNFRefutation 6.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 46 ( 14 unt; 8 typ; 0 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 70 ( 20 ~; 43 |; 1 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 6 >; 6 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 49 (; 49 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ distinct_points > distinct_lines > convergent_lines > apart_point_and_line > line_connecting > intersection_point > #nlpp > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(line_connecting,type,
line_connecting: ( $i * $i ) > $i ).
tff(distinct_points,type,
distinct_points: ( $i * $i ) > $o ).
tff(intersection_point,type,
intersection_point: ( $i * $i ) > $i ).
tff(apart_point_and_line,type,
apart_point_and_line: ( $i * $i ) > $o ).
tff(convergent_lines,type,
convergent_lines: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(distinct_lines,type,
distinct_lines: ( $i * $i ) > $o ).
tff(f_138,negated_conjecture,
~ ! [X,Y] :
( convergent_lines(X,Y)
=> ~ distinct_points(intersection_point(X,Y),intersection_point(Y,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f_59,axiom,
! [X] : ~ convergent_lines(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart3) ).
tff(f_77,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ax6) ).
tff(f_130,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( distinct_lines(Y,Z)
| convergent_lines(X,Z) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ceq3) ).
tff(f_111,axiom,
! [X,Y,U,V] :
( ( distinct_points(X,Y)
& distinct_lines(U,V) )
=> ( apart_point_and_line(X,U)
| apart_point_and_line(X,V)
| apart_point_and_line(Y,U)
| apart_point_and_line(Y,V) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',cu1) ).
tff(f_98,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci4) ).
tff(f_93,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci3) ).
tff(c_32,plain,
convergent_lines('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_138]) ).
tff(c_6,plain,
! [X_3] : ~ convergent_lines(X_3,X_3),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_61,plain,
! [Y_61,Z_62,X_63] :
( convergent_lines(Y_61,Z_62)
| convergent_lines(X_63,Z_62)
| ~ convergent_lines(X_63,Y_61) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_65,plain,
! [Z_64] :
( convergent_lines('#skF_2',Z_64)
| convergent_lines('#skF_1',Z_64) ),
inference(resolution,[status(thm)],[c_32,c_61]) ).
tff(c_12,plain,
! [Y_11,Z_12,X_10] :
( convergent_lines(Y_11,Z_12)
| convergent_lines(X_10,Z_12)
| ~ convergent_lines(X_10,Y_11) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_149,plain,
! [Z_69,Z_70] :
( convergent_lines(Z_69,Z_70)
| convergent_lines('#skF_2',Z_70)
| convergent_lines('#skF_1',Z_69) ),
inference(resolution,[status(thm)],[c_65,c_12]) ).
tff(c_180,plain,
! [Z_71] :
( convergent_lines(Z_71,'#skF_2')
| convergent_lines('#skF_1',Z_71) ),
inference(resolution,[status(thm)],[c_149,c_6]) ).
tff(c_401,plain,
! [Z_86,Z_87] :
( convergent_lines(Z_86,Z_87)
| convergent_lines('#skF_1',Z_87)
| convergent_lines(Z_86,'#skF_2') ),
inference(resolution,[status(thm)],[c_180,c_12]) ).
tff(c_478,plain,
! [Z_90] :
( convergent_lines(Z_90,'#skF_1')
| convergent_lines(Z_90,'#skF_2') ),
inference(resolution,[status(thm)],[c_401,c_6]) ).
tff(c_489,plain,
convergent_lines('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_478,c_6]) ).
tff(c_30,plain,
distinct_points(intersection_point('#skF_1','#skF_2'),intersection_point('#skF_2','#skF_1')),
inference(cnfTransformation,[status(thm)],[f_138]) ).
tff(c_47,plain,
! [X_57,Z_58,Y_59] :
( convergent_lines(X_57,Z_58)
| distinct_lines(Y_59,Z_58)
| ~ convergent_lines(X_57,Y_59) ),
inference(cnfTransformation,[status(thm)],[f_130]) ).
tff(c_50,plain,
! [Z_58] :
( convergent_lines('#skF_1',Z_58)
| distinct_lines('#skF_2',Z_58) ),
inference(resolution,[status(thm)],[c_32,c_47]) ).
tff(c_252,plain,
! [Y_78,V_79,U_80,X_81] :
( apart_point_and_line(Y_78,V_79)
| apart_point_and_line(Y_78,U_80)
| apart_point_and_line(X_81,V_79)
| apart_point_and_line(X_81,U_80)
| ~ distinct_lines(U_80,V_79)
| ~ distinct_points(X_81,Y_78) ),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_609,plain,
! [Y_95,Z_96,X_97] :
( apart_point_and_line(Y_95,Z_96)
| apart_point_and_line(Y_95,'#skF_2')
| apart_point_and_line(X_97,Z_96)
| apart_point_and_line(X_97,'#skF_2')
| ~ distinct_points(X_97,Y_95)
| convergent_lines('#skF_1',Z_96) ),
inference(resolution,[status(thm)],[c_50,c_252]) ).
tff(c_624,plain,
! [Z_96] :
( apart_point_and_line(intersection_point('#skF_2','#skF_1'),Z_96)
| apart_point_and_line(intersection_point('#skF_2','#skF_1'),'#skF_2')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_96)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2')
| convergent_lines('#skF_1',Z_96) ),
inference(resolution,[status(thm)],[c_30,c_609]) ).
tff(c_677,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_2'),
inference(splitLeft,[status(thm)],[c_624]) ).
tff(c_20,plain,
! [X_19,Y_20] :
( ~ apart_point_and_line(intersection_point(X_19,Y_20),Y_20)
| ~ convergent_lines(X_19,Y_20) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_684,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_677,c_20]) ).
tff(c_690,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32,c_684]) ).
tff(c_691,plain,
! [Z_96] :
( apart_point_and_line(intersection_point('#skF_2','#skF_1'),'#skF_2')
| apart_point_and_line(intersection_point('#skF_2','#skF_1'),Z_96)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_96)
| convergent_lines('#skF_1',Z_96) ),
inference(splitRight,[status(thm)],[c_624]) ).
tff(c_846,plain,
apart_point_and_line(intersection_point('#skF_2','#skF_1'),'#skF_2'),
inference(splitLeft,[status(thm)],[c_691]) ).
tff(c_18,plain,
! [X_17,Y_18] :
( ~ apart_point_and_line(intersection_point(X_17,Y_18),X_17)
| ~ convergent_lines(X_17,Y_18) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_853,plain,
~ convergent_lines('#skF_2','#skF_1'),
inference(resolution,[status(thm)],[c_846,c_18]) ).
tff(c_859,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_489,c_853]) ).
tff(c_2467,plain,
! [Z_177] :
( apart_point_and_line(intersection_point('#skF_2','#skF_1'),Z_177)
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),Z_177)
| convergent_lines('#skF_1',Z_177) ),
inference(splitRight,[status(thm)],[c_691]) ).
tff(c_2486,plain,
( ~ convergent_lines('#skF_2','#skF_1')
| apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1')
| convergent_lines('#skF_1','#skF_1') ),
inference(resolution,[status(thm)],[c_2467,c_20]) ).
tff(c_2500,plain,
( apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1')
| convergent_lines('#skF_1','#skF_1') ),
inference(demodulation,[status(thm),theory(equality)],[c_489,c_2486]) ).
tff(c_2501,plain,
apart_point_and_line(intersection_point('#skF_1','#skF_2'),'#skF_1'),
inference(negUnitSimplification,[status(thm)],[c_6,c_2500]) ).
tff(c_2512,plain,
~ convergent_lines('#skF_1','#skF_2'),
inference(resolution,[status(thm)],[c_2501,c_18]) ).
tff(c_2518,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32,c_2512]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO201+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 : n005.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 : Fri Aug 4 00:11:41 EDT 2023
% 0.13/0.35 % CPUTime :
% 6.45/2.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.51/2.53
% 6.51/2.53 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.51/2.56
% 6.51/2.56 Inference rules
% 6.51/2.56 ----------------------
% 6.51/2.56 #Ref : 0
% 6.51/2.56 #Sup : 386
% 6.51/2.56 #Fact : 112
% 6.51/2.56 #Define : 0
% 6.51/2.56 #Split : 3
% 6.51/2.56 #Chain : 0
% 6.51/2.56 #Close : 0
% 6.51/2.56
% 6.51/2.56 Ordering : KBO
% 6.51/2.57
% 6.51/2.57 Simplification rules
% 6.51/2.57 ----------------------
% 6.51/2.57 #Subsume : 115
% 6.51/2.57 #Demod : 96
% 6.51/2.57 #Tautology : 91
% 6.51/2.57 #SimpNegUnit : 39
% 6.51/2.57 #BackRed : 0
% 6.51/2.57
% 6.51/2.57 #Partial instantiations: 0
% 6.51/2.57 #Strategies tried : 1
% 6.51/2.57
% 6.51/2.57 Timing (in seconds)
% 6.51/2.57 ----------------------
% 6.51/2.57 Preprocessing : 0.48
% 6.51/2.57 Parsing : 0.27
% 6.51/2.57 CNF conversion : 0.03
% 6.51/2.57 Main loop : 0.97
% 6.51/2.57 Inferencing : 0.37
% 6.51/2.57 Reduction : 0.19
% 6.51/2.57 Demodulation : 0.11
% 6.51/2.57 BG Simplification : 0.03
% 6.51/2.57 Subsumption : 0.32
% 6.51/2.57 Abstraction : 0.03
% 6.51/2.57 MUC search : 0.00
% 6.51/2.57 Cooper : 0.00
% 6.51/2.57 Total : 1.50
% 6.51/2.57 Index Insertion : 0.00
% 6.51/2.57 Index Deletion : 0.00
% 6.51/2.57 Index Matching : 0.00
% 6.51/2.57 BG Taut test : 0.00
%------------------------------------------------------------------------------