%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : GEO118-1 : TPTP v9.0.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/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 : Wed Apr 9 06:13:49 PM UTC 2025
% Result : Unsatisfiable 7.16s 2.63s
% Output : CNFRefutation 7.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 22 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 13 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-4 aty)
% Number of functors : 29 ( 29 usr; 3 con; 0-5 aty)
% Number of variables : 29 ( 29 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ between_o > between_c > ordered_by > meet > start_point > part_of > inner_point > incident_o > incident_c > finish_point > end_point > open > closed > ax2_sk5 > ax2_sk4 > ax1_sk1 > ax2_sk7 > ax0_sk5 > ax0_sk2 > sum > ax2_sk9 > ax2_sk8 > ax2_sk2 > ax2_sk10 > ax2_sk1 > ax0_sk9 > ax0_sk4 > ax0_sk3 > ax0_sk13 > ax0_sk12 > ax0_sk11 > ax0_sk10 > ax0_sk1 > #nlpp > underlying_curve > ax2_sk6 > ax2_sk3 > ax0_sk8 > ax0_sk7 > ax0_sk6 > sk27 > sk26 > sk25
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(ax2_sk6,type,
ax2_sk6: $i > $i ).
tff(underlying_curve,type,
underlying_curve: $i > $i ).
tff(ax2_sk10,type,
ax2_sk10: ( $i * $i ) > $i ).
tff(between_c,type,
between_c: ( $i * $i * $i * $i ) > $o ).
tff(closed,type,
closed: $i > $o ).
tff(ax0_sk8,type,
ax0_sk8: $i > $i ).
tff(ax0_sk9,type,
ax0_sk9: ( $i * $i ) > $i ).
tff(inner_point,type,
inner_point: ( $i * $i ) > $o ).
tff(end_point,type,
end_point: ( $i * $i ) > $o ).
tff(finish_point,type,
finish_point: ( $i * $i ) > $o ).
tff(ax2_sk1,type,
ax2_sk1: ( $i * $i ) > $i ).
tff(start_point,type,
start_point: ( $i * $i ) > $o ).
tff(ax0_sk12,type,
ax0_sk12: ( $i * $i ) > $i ).
tff(sk26,type,
sk26: $i ).
tff(ax0_sk13,type,
ax0_sk13: ( $i * $i ) > $i ).
tff(part_of,type,
part_of: ( $i * $i ) > $o ).
tff(between_o,type,
between_o: ( $i * $i * $i * $i ) > $o ).
tff(sk27,type,
sk27: $i ).
tff(meet,type,
meet: ( $i * $i * $i ) > $o ).
tff(ax2_sk7,type,
ax2_sk7: ( $i * $i * $i ) > $i ).
tff(ax0_sk4,type,
ax0_sk4: ( $i * $i ) > $i ).
tff(ax2_sk4,type,
ax2_sk4: ( $i * $i * $i * $i ) > $i ).
tff(incident_c,type,
incident_c: ( $i * $i ) > $o ).
tff(sk25,type,
sk25: $i ).
tff(ax2_sk9,type,
ax2_sk9: ( $i * $i ) > $i ).
tff(sum,type,
sum: ( $i * $i ) > $i ).
tff(ordered_by,type,
ordered_by: ( $i * $i * $i ) > $o ).
tff(ax2_sk2,type,
ax2_sk2: ( $i * $i ) > $i ).
tff(ax0_sk11,type,
ax0_sk11: ( $i * $i ) > $i ).
tff(ax2_sk5,type,
ax2_sk5: ( $i * $i * $i * $i * $i ) > $i ).
tff(incident_o,type,
incident_o: ( $i * $i ) > $o ).
tff(ax0_sk1,type,
ax0_sk1: ( $i * $i ) > $i ).
tff(ax0_sk2,type,
ax0_sk2: ( $i * $i * $i ) > $i ).
tff(ax0_sk7,type,
ax0_sk7: $i > $i ).
tff(ax0_sk10,type,
ax0_sk10: ( $i * $i ) > $i ).
tff(ax1_sk1,type,
ax1_sk1: ( $i * $i * $i * $i ) > $i ).
tff(ax2_sk8,type,
ax2_sk8: ( $i * $i ) > $i ).
tff(ax2_sk3,type,
ax2_sk3: $i > $i ).
tff(ax0_sk3,type,
ax0_sk3: ( $i * $i ) > $i ).
tff(ax0_sk5,type,
ax0_sk5: ( $i * $i * $i ) > $i ).
tff(ax0_sk6,type,
ax0_sk6: $i > $i ).
tff(open,type,
open: $i > $o ).
tff(f_846,axiom,
ordered_by(sk25,sk27,sk26),
file(unknown,unknown) ).
tff(f_845,axiom,
ordered_by(sk25,sk26,sk27),
file(unknown,unknown) ).
tff(f_556,axiom,
! [A,B,C,D] :
( ~ ordered_by(A,B,C)
| ~ ordered_by(A,C,D)
| between_o(A,B,C,D) ),
file(unknown,unknown) ).
tff(f_683,axiom,
! [A,B,C,D] :
( ~ between_o(A,B,C,D)
| between_c(ax2_sk4(A,D,C,B),B,C,D) ),
file(unknown,unknown) ).
tff(f_460,axiom,
! [A,B,C,D] :
( ~ between_c(A,B,C,D)
| ( B != D ) ),
file(unknown,unknown) ).
tff(c_196,plain,
ordered_by(sk25,sk27,sk26),
inference(cnfTransformation,[status(thm)],[f_846]) ).
tff(c_194,plain,
ordered_by(sk25,sk26,sk27),
inference(cnfTransformation,[status(thm)],[f_845]) ).
tff(c_118,plain,
! [A_168,B_169,C_170,D_171] :
( between_o(A_168,B_169,C_170,D_171)
| ~ ordered_by(A_168,C_170,D_171)
| ~ ordered_by(A_168,B_169,C_170) ),
inference(cnfTransformation,[status(thm)],[f_556]) ).
tff(c_2897,plain,
! [A_684,D_685,C_686,B_687] :
( between_c(ax2_sk4(A_684,D_685,C_686,B_687),B_687,C_686,D_685)
| ~ between_o(A_684,B_687,C_686,D_685) ),
inference(cnfTransformation,[status(thm)],[f_683]) ).
tff(c_98,plain,
! [A_127,D_130,C_129] : ~ between_c(A_127,D_130,C_129,D_130),
inference(cnfTransformation,[status(thm)],[f_460]) ).
tff(c_2913,plain,
! [A_688,D_689,C_690] : ~ between_o(A_688,D_689,C_690,D_689),
inference(resolution,[status(thm)],[c_2897,c_98]) ).
tff(c_2963,plain,
! [A_703,C_704,D_705] :
( ~ ordered_by(A_703,C_704,D_705)
| ~ ordered_by(A_703,D_705,C_704) ),
inference(resolution,[status(thm)],[c_118,c_2913]) ).
tff(c_2969,plain,
~ ordered_by(sk25,sk27,sk26),
inference(resolution,[status(thm)],[c_194,c_2963]) ).
tff(c_2977,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_196,c_2969]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO118-1 : TPTP v9.0.0. Released v2.4.0.
% 0.11/0.12 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 7 19:38:12 EDT 2025
% 0.14/0.34 % CPUTime :
% 7.16/2.63 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.16/2.64
% 7.16/2.64 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------