%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN004-1.007 : TPTP v9.0.0. Released v1.0.0.
% 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 : n009.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 10:01:50 PM UTC 2025
% Result : Unsatisfiable 2.53s 1.58s
% Output : CNFRefutation 2.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 15
% Syntax : Number of formulae : 54 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 114 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 123 ( 63 ~; 60 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 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 : 15 ( 14 usr; 15 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ #nlpp > q_7 > q_6 > q_5 > q_4 > q_3 > q_2 > q_1 > p_7 > p_6 > p_5 > p_4 > p_3 > p_2 > p_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(q_5,type,
q_5: $o ).
tff(q_3,type,
q_3: $o ).
tff(q_1,type,
q_1: $o ).
tff(p_2,type,
p_2: $o ).
tff(p_5,type,
p_5: $o ).
tff(q_4,type,
q_4: $o ).
tff(p_7,type,
p_7: $o ).
tff(q_2,type,
q_2: $o ).
tff(p_6,type,
p_6: $o ).
tff(q_6,type,
q_6: $o ).
tff(p_3,type,
p_3: $o ).
tff(p_1,type,
p_1: $o ).
tff(q_7,type,
q_7: $o ).
tff(p_4,type,
p_4: $o ).
tff(f_119,axiom,
p_1,
file(unknown,unknown) ).
tff(f_120,axiom,
q_1,
file(unknown,unknown) ).
tff(f_41,axiom,
( ~ p_1
| ~ q_1
| p_2 ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ~ p_1
| ~ q_1
| q_2 ),
file(unknown,unknown) ).
tff(f_90,axiom,
( ~ p_2
| ~ q_2
| q_3 ),
file(unknown,unknown) ).
tff(f_48,axiom,
( ~ p_2
| ~ q_2
| p_3 ),
file(unknown,unknown) ).
tff(f_97,axiom,
( ~ p_3
| ~ q_3
| q_4 ),
file(unknown,unknown) ).
tff(f_55,axiom,
( ~ p_3
| ~ q_3
| p_4 ),
file(unknown,unknown) ).
tff(f_104,axiom,
( ~ p_4
| ~ q_4
| q_5 ),
file(unknown,unknown) ).
tff(f_62,axiom,
( ~ p_4
| ~ q_4
| p_5 ),
file(unknown,unknown) ).
tff(f_111,axiom,
( ~ p_5
| ~ q_5
| q_6 ),
file(unknown,unknown) ).
tff(f_69,axiom,
( ~ p_5
| ~ q_5
| p_6 ),
file(unknown,unknown) ).
tff(f_76,axiom,
( ~ p_6
| ~ q_6
| p_7 ),
file(unknown,unknown) ).
tff(f_118,axiom,
( ~ p_6
| ~ q_6
| q_7 ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ~ p_7
| ~ q_7 ),
file(unknown,unknown) ).
tff(c_26,plain,
p_1,
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_28,plain,
q_1,
inference(cnfTransformation,[status(thm)],[f_120]) ).
tff(c_2,plain,
( p_2
| ~ q_1
| ~ p_1 ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_38,plain,
p_2,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_28,c_2]) ).
tff(c_14,plain,
( q_2
| ~ q_1
| ~ p_1 ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_32,plain,
q_2,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_28,c_14]) ).
tff(c_16,plain,
( q_3
| ~ q_2
| ~ p_2 ),
inference(cnfTransformation,[status(thm)],[f_90]) ).
tff(c_34,plain,
( q_3
| ~ p_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_16]) ).
tff(c_42,plain,
q_3,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_34]) ).
tff(c_4,plain,
( p_3
| ~ q_2
| ~ p_2 ),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_36,plain,
( p_3
| ~ p_2 ),
inference(demodulation,[status(thm),theory(equality)],[c_32,c_4]) ).
tff(c_40,plain,
p_3,
inference(demodulation,[status(thm),theory(equality)],[c_38,c_36]) ).
tff(c_18,plain,
( q_4
| ~ q_3
| ~ p_3 ),
inference(cnfTransformation,[status(thm)],[f_97]) ).
tff(c_46,plain,
( q_4
| ~ q_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_18]) ).
tff(c_54,plain,
q_4,
inference(demodulation,[status(thm),theory(equality)],[c_42,c_46]) ).
tff(c_6,plain,
( p_4
| ~ q_3
| ~ p_3 ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_44,plain,
( p_4
| ~ q_3 ),
inference(demodulation,[status(thm),theory(equality)],[c_40,c_6]) ).
tff(c_48,plain,
p_4,
inference(demodulation,[status(thm),theory(equality)],[c_42,c_44]) ).
tff(c_20,plain,
( q_5
| ~ q_4
| ~ p_4 ),
inference(cnfTransformation,[status(thm)],[f_104]) ).
tff(c_52,plain,
( q_5
| ~ q_4 ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_20]) ).
tff(c_62,plain,
q_5,
inference(demodulation,[status(thm),theory(equality)],[c_54,c_52]) ).
tff(c_8,plain,
( p_5
| ~ q_4
| ~ p_4 ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_50,plain,
( p_5
| ~ q_4 ),
inference(demodulation,[status(thm),theory(equality)],[c_48,c_8]) ).
tff(c_56,plain,
p_5,
inference(demodulation,[status(thm),theory(equality)],[c_54,c_50]) ).
tff(c_22,plain,
( q_6
| ~ q_5
| ~ p_5 ),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_60,plain,
( q_6
| ~ q_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_22]) ).
tff(c_70,plain,
q_6,
inference(demodulation,[status(thm),theory(equality)],[c_62,c_60]) ).
tff(c_10,plain,
( p_6
| ~ q_5
| ~ p_5 ),
inference(cnfTransformation,[status(thm)],[f_69]) ).
tff(c_58,plain,
( p_6
| ~ q_5 ),
inference(demodulation,[status(thm),theory(equality)],[c_56,c_10]) ).
tff(c_64,plain,
p_6,
inference(demodulation,[status(thm),theory(equality)],[c_62,c_58]) ).
tff(c_12,plain,
( p_7
| ~ q_6
| ~ p_6 ),
inference(cnfTransformation,[status(thm)],[f_76]) ).
tff(c_68,plain,
( p_7
| ~ q_6 ),
inference(demodulation,[status(thm),theory(equality)],[c_64,c_12]) ).
tff(c_76,plain,
p_7,
inference(demodulation,[status(thm),theory(equality)],[c_70,c_68]) ).
tff(c_24,plain,
( q_7
| ~ q_6
| ~ p_6 ),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_66,plain,
( q_7
| ~ q_6 ),
inference(demodulation,[status(thm),theory(equality)],[c_64,c_24]) ).
tff(c_72,plain,
q_7,
inference(demodulation,[status(thm),theory(equality)],[c_70,c_66]) ).
tff(c_30,plain,
( ~ q_7
| ~ p_7 ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_74,plain,
~ p_7,
inference(demodulation,[status(thm),theory(equality)],[c_72,c_30]) ).
tff(c_78,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_76,c_74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN004-1.007 : TPTP v9.0.0. Released v1.0.0.
% 0.03/0.13 % 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
% 0.14/0.34 % Computer : n009.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 : Wed Apr 9 06:50:26 EDT 2025
% 0.14/0.34 % CPUTime :
% 2.53/1.58 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.53/1.59
% 2.53/1.59 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------