%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN097-1.002 : TPTP v9.0.0. Bugfixed v1.2.1.
% 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 : n019.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 10:02:36 PM UTC 2025
% Result : Unsatisfiable 3.31s 1.80s
% Output : CNFRefutation 3.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 45 ( 24 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 39 ( 38 usr; 39 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ #nlpp > u_9 > u_8 > u_7 > u_6 > u_5 > u_4 > u_3 > u_2 > u_13 > u_12 > u_11 > u_10 > u_1 > sym_u_9 > sym_u_8 > sym_u_7 > sym_u_6 > sym_u_5 > sym_u_4 > sym_u_3 > sym_u_2 > sym_u_13 > sym_u_12 > sym_u_11 > sym_u_10 > sym_u_1 > sym_q_2_2 > sym_q_1_2 > sym_q_1_1 > sym_p_2_2 > sym_p_1_2 > sym_p_1_1 > q_2_2 > q_1_2 > q_1_1 > p_2_2 > p_1_2 > p_1_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sym_u_4,type,
sym_u_4: $o ).
tff(u_6,type,
u_6: $o ).
tff(sym_p_1_1,type,
sym_p_1_1: $o ).
tff(sym_q_1_1,type,
sym_q_1_1: $o ).
tff(sym_u_12,type,
sym_u_12: $o ).
tff(u_1,type,
u_1: $o ).
tff(sym_u_11,type,
sym_u_11: $o ).
tff(sym_q_2_2,type,
sym_q_2_2: $o ).
tff(p_2_2,type,
p_2_2: $o ).
tff(sym_u_2,type,
sym_u_2: $o ).
tff(sym_u_6,type,
sym_u_6: $o ).
tff(sym_u_5,type,
sym_u_5: $o ).
tff(u_5,type,
u_5: $o ).
tff(u_3,type,
u_3: $o ).
tff(u_8,type,
u_8: $o ).
tff(u_12,type,
u_12: $o ).
tff(q_1_1,type,
q_1_1: $o ).
tff(u_13,type,
u_13: $o ).
tff(u_4,type,
u_4: $o ).
tff(sym_u_7,type,
sym_u_7: $o ).
tff(sym_u_13,type,
sym_u_13: $o ).
tff(p_1_1,type,
p_1_1: $o ).
tff(p_1_2,type,
p_1_2: $o ).
tff(u_2,type,
u_2: $o ).
tff(sym_u_3,type,
sym_u_3: $o ).
tff(sym_u_10,type,
sym_u_10: $o ).
tff(sym_u_9,type,
sym_u_9: $o ).
tff(u_11,type,
u_11: $o ).
tff(sym_p_1_2,type,
sym_p_1_2: $o ).
tff(u_7,type,
u_7: $o ).
tff(sym_p_2_2,type,
sym_p_2_2: $o ).
tff(sym_u_1,type,
sym_u_1: $o ).
tff(q_1_2,type,
q_1_2: $o ).
tff(sym_u_8,type,
sym_u_8: $o ).
tff(u_9,type,
u_9: $o ).
tff(q_2_2,type,
q_2_2: $o ).
tff(sym_q_1_2,type,
sym_q_1_2: $o ).
tff(u_10,type,
u_10: $o ).
tff(f_283,axiom,
( ~ sym_u_13
| ~ sym_q_2_2 ),
file(unknown,unknown) ).
tff(f_269,axiom,
( ~ sym_q_1_1
| sym_u_11 ),
file(unknown,unknown) ).
tff(f_155,axiom,
sym_u_1,
file(unknown,unknown) ).
tff(f_154,axiom,
( ~ sym_u_1
| sym_p_1_2 ),
file(unknown,unknown) ).
tff(f_181,axiom,
( ~ sym_p_1_2
| sym_u_3 ),
file(unknown,unknown) ).
tff(f_177,axiom,
( ~ sym_u_3
| ~ sym_p_1_2
| sym_q_2_2
| sym_q_1_1 ),
file(unknown,unknown) ).
tff(f_287,axiom,
( ~ sym_q_2_2
| sym_u_13 ),
file(unknown,unknown) ).
tff(f_265,axiom,
( ~ sym_u_11
| ~ sym_q_1_1 ),
file(unknown,unknown) ).
tff(c_102,plain,
( ~ sym_q_2_2
| ~ sym_u_13 ),
inference(cnfTransformation,[status(thm)],[f_283]) ).
tff(c_134,plain,
~ sym_u_13,
inference(splitLeft,[status(thm)],[c_102]) ).
tff(c_96,plain,
( sym_u_11
| ~ sym_q_1_1 ),
inference(cnfTransformation,[status(thm)],[f_269]) ).
tff(c_129,plain,
~ sym_q_1_1,
inference(splitLeft,[status(thm)],[c_96]) ).
tff(c_56,plain,
sym_u_1,
inference(cnfTransformation,[status(thm)],[f_155]) ).
tff(c_54,plain,
( sym_p_1_2
| ~ sym_u_1 ),
inference(cnfTransformation,[status(thm)],[f_154]) ).
tff(c_106,plain,
sym_p_1_2,
inference(demodulation,[status(thm),theory(equality)],[c_56,c_54]) ).
tff(c_64,plain,
( sym_u_3
| ~ sym_p_1_2 ),
inference(cnfTransformation,[status(thm)],[f_181]) ).
tff(c_108,plain,
sym_u_3,
inference(demodulation,[status(thm),theory(equality)],[c_106,c_64]) ).
tff(c_62,plain,
( sym_q_1_1
| sym_q_2_2
| ~ sym_p_1_2
| ~ sym_u_3 ),
inference(cnfTransformation,[status(thm)],[f_177]) ).
tff(c_111,plain,
( sym_q_1_1
| sym_q_2_2
| ~ sym_u_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_106,c_62]) ).
tff(c_118,plain,
( sym_q_1_1
| sym_q_2_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_111]) ).
tff(c_162,plain,
sym_q_2_2,
inference(negUnitSimplification,[status(thm)],[c_129,c_118]) ).
tff(c_104,plain,
( sym_u_13
| ~ sym_q_2_2 ),
inference(cnfTransformation,[status(thm)],[f_287]) ).
tff(c_166,plain,
sym_u_13,
inference(demodulation,[status(thm),theory(equality)],[c_162,c_104]) ).
tff(c_167,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_134,c_166]) ).
tff(c_168,plain,
~ sym_q_2_2,
inference(splitRight,[status(thm)],[c_102]) ).
tff(c_227,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_168,c_129,c_118]) ).
tff(c_228,plain,
sym_u_11,
inference(splitRight,[status(thm)],[c_96]) ).
tff(c_229,plain,
sym_q_1_1,
inference(splitRight,[status(thm)],[c_96]) ).
tff(c_94,plain,
( ~ sym_q_1_1
| ~ sym_u_11 ),
inference(cnfTransformation,[status(thm)],[f_265]) ).
tff(c_231,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_228,c_229,c_94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYN097-1.002 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.00/0.10 % 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
% 0.09/0.29 % Computer : n019.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Wed Apr 9 06:57:32 EDT 2025
% 0.09/0.29 % CPUTime :
% 3.31/1.80 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.31/1.81
% 3.31/1.81 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------