%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN496-1 : TPTP v9.2.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n023.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 May 5 05:38:48 PM UTC 2026
% Result : Satisfiable 1.26s 1.72s
% Output : Saturation 1.26s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
( ndr1_0
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
cnf(clause13,negated_conjecture,
( hskp4
| hskp10
| hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
cnf(clause7,negated_conjecture,
( ndr1_0
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
cnf(clause10,negated_conjecture,
( ndr1_0
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
cnf(clause48,negated_conjecture,
( c2_1(X2)
| c0_1(X2)
| c3_1(X2)
| c3_1(X1)
| c1_1(X1)
| hskp3
| ~ ndr1_0
| ~ c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
cnf(clause50,negated_conjecture,
( c0_1(X1)
| c1_1(X2)
| c2_1(X2)
| c0_1(X2)
| hskp2
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
cnf(clause51,negated_conjecture,
( c3_1(X1)
| hskp9
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
cnf(clause49,negated_conjecture,
( c2_1(X2)
| c1_1(X2)
| c3_1(X2)
| c3_1(X1)
| hskp5
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
cnf(clause47,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| hskp1
| hskp8
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
cnf(clause16,negated_conjecture,
( c2_1(a86)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).
cnf(clause33,negated_conjecture,
( ~ c3_1(a86)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
cnf(clause30,negated_conjecture,
( c2_1(a83)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
cnf(clause43,negated_conjecture,
( ~ c1_1(a83)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
cnf(clause42,negated_conjecture,
( ~ c3_1(a83)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
cnf(clause20,negated_conjecture,
( c2_1(a82)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
cnf(clause19,negated_conjecture,
( c1_1(a82)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).
cnf(clause26,negated_conjecture,
( c2_1(a79)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
cnf(clause25,negated_conjecture,
( c1_1(a79)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).
cnf(clause28,negated_conjecture,
( c2_1(a87)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).
cnf(clause27,negated_conjecture,
( c1_1(a87)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
cnf(clause15,negated_conjecture,
( c0_1(a86)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).
cnf(clause35,negated_conjecture,
( ~ c3_1(a82)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
cnf(clause39,negated_conjecture,
( ~ c3_1(a87)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
cnf(clause52,negated_conjecture,
( c1_1(X1)
| c3_1(X2)
| c2_1(X3)
| c1_1(X3)
| c3_1(X3)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
cnf(clause24,negated_conjecture,
( c3_1(a79)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).
cnf(clause21,negated_conjecture,
( c3_1(a80)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).
cnf(clause17,negated_conjecture,
( c3_1(a84)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
cnf(clause22,negated_conjecture,
( c0_1(a80)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).
cnf(clause29,negated_conjecture,
( c1_1(a85)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
cnf(clause45,negated_conjecture,
( ~ c3_1(a81)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
cnf(clause23,negated_conjecture,
( c1_1(a80)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
cnf(clause12,negated_conjecture,
( hskp6
| hskp0
| hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
cnf(clause46,negated_conjecture,
( ~ c0_1(a81)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
cnf(clause44,negated_conjecture,
( ~ c1_1(a81)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
cnf(clause41,negated_conjecture,
( ~ c3_1(a85)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
cnf(clause40,negated_conjecture,
( ~ c0_1(a85)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
cnf(clause36,negated_conjecture,
( ~ c2_1(a88)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
cnf(clause18,negated_conjecture,
( c1_1(a84)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).
cnf(clause37,negated_conjecture,
( ~ c0_1(a88)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
cnf(clause38,negated_conjecture,
( ~ c1_1(a88)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
cnf(clause34,negated_conjecture,
( ~ c2_1(a84)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
cnf(clause14,negated_conjecture,
( c1_1(a89)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
cnf(clause32,negated_conjecture,
( ~ c2_1(a89)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
cnf(clause31,negated_conjecture,
( ~ c0_1(a89)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
cnf(c_0_44,negated_conjecture,
( ndr1_0
| ~ hskp10 ),
clause1 ).
cnf(c_0_45,negated_conjecture,
( hskp4
| hskp10
| hskp1 ),
clause13,
[final] ).
cnf(c_0_46,negated_conjecture,
( ndr1_0
| ~ hskp4 ),
clause7 ).
cnf(c_0_47,negated_conjecture,
( ndr1_0
| ~ hskp1 ),
clause10 ).
cnf(c_0_48,negated_conjecture,
( c2_1(X2)
| c0_1(X2)
| c3_1(X2)
| c3_1(X1)
| c1_1(X1)
| hskp3
| ~ ndr1_0
| ~ c2_1(X1) ),
clause48 ).
cnf(c_0_49,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_47]),
[final] ).
cnf(c_0_50,negated_conjecture,
( c0_1(X1)
| c1_1(X2)
| c2_1(X2)
| c0_1(X2)
| hskp2
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause50 ).
cnf(c_0_51,negated_conjecture,
( c3_1(X1)
| hskp9
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X2) ),
clause51 ).
cnf(c_0_52,negated_conjecture,
( c2_1(X2)
| c1_1(X2)
| c3_1(X2)
| c3_1(X1)
| hskp5
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1) ),
clause49 ).
cnf(c_0_53,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| hskp1
| hskp8
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause47 ).
cnf(c_0_54,negated_conjecture,
( c3_1(X1)
| c3_1(X2)
| c2_1(X1)
| c0_1(X1)
| c1_1(X2)
| hskp3
| ~ c2_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_49])]),
[final] ).
cnf(c_0_55,negated_conjecture,
( c2_1(a86)
| ~ hskp9 ),
clause16,
[final] ).
cnf(c_0_56,negated_conjecture,
( ~ c3_1(a86)
| ~ hskp9 ),
clause33,
[final] ).
cnf(c_0_57,negated_conjecture,
( c2_1(a83)
| ~ hskp1 ),
clause30,
[final] ).
cnf(c_0_58,negated_conjecture,
( ~ c1_1(a83)
| ~ hskp1 ),
clause43,
[final] ).
cnf(c_0_59,negated_conjecture,
( ~ c3_1(a83)
| ~ hskp1 ),
clause42,
[final] ).
cnf(c_0_60,negated_conjecture,
( c2_1(X1)
| c0_1(X1)
| c0_1(X2)
| c1_1(X1)
| hskp2
| ~ c2_1(X2)
| ~ c1_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_49])]),
[final] ).
cnf(c_0_61,negated_conjecture,
( c2_1(a82)
| ~ hskp7 ),
clause20,
[final] ).
cnf(c_0_62,negated_conjecture,
( c1_1(a82)
| ~ hskp7 ),
clause19,
[final] ).
cnf(c_0_63,negated_conjecture,
( c2_1(a79)
| ~ hskp5 ),
clause26,
[final] ).
cnf(c_0_64,negated_conjecture,
( c1_1(a79)
| ~ hskp5 ),
clause25,
[final] ).
cnf(c_0_65,negated_conjecture,
( c3_1(X1)
| hskp9
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c1_1(X2)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_49])]),
[final] ).
cnf(c_0_66,negated_conjecture,
( c2_1(a87)
| ~ hskp3 ),
clause28,
[final] ).
cnf(c_0_67,negated_conjecture,
( c1_1(a87)
| ~ hskp3 ),
clause27,
[final] ).
cnf(c_0_68,negated_conjecture,
( c3_1(X1)
| c3_1(X2)
| c2_1(X1)
| c1_1(X1)
| hskp5
| ~ c2_1(X2)
| ~ c0_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_49])]),
[final] ).
cnf(c_0_69,negated_conjecture,
( c0_1(a86)
| ~ hskp9 ),
clause15,
[final] ).
cnf(c_0_70,negated_conjecture,
( ~ c3_1(a82)
| ~ hskp7 ),
clause35,
[final] ).
cnf(c_0_71,negated_conjecture,
( ~ c3_1(a87)
| ~ hskp3 ),
clause39,
[final] ).
cnf(c_0_72,negated_conjecture,
( c1_1(X1)
| c3_1(X2)
| c2_1(X3)
| c1_1(X3)
| c3_1(X3)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ),
clause52 ).
cnf(c_0_73,negated_conjecture,
( c3_1(X1)
| c0_1(X1)
| hskp1
| hskp8
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_49])]),
[final] ).
cnf(c_0_74,negated_conjecture,
( c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| c1_1(a86)
| hskp3
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]),
[final] ).
cnf(c_0_75,negated_conjecture,
( c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| hskp3
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_57]),c_0_58]),c_0_59]),
[final] ).
cnf(c_0_76,negated_conjecture,
( c2_1(X1)
| c0_1(a82)
| c0_1(X1)
| c1_1(X1)
| hskp2
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]),
[final] ).
cnf(c_0_77,negated_conjecture,
( c2_1(X1)
| c0_1(a79)
| c0_1(X1)
| c1_1(X1)
| hskp2
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_63]),c_0_64]),
[final] ).
cnf(c_0_78,negated_conjecture,
( c3_1(X1)
| hskp9
| ~ c0_1(a82)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_61]),c_0_62]),
[final] ).
cnf(c_0_79,negated_conjecture,
( c3_1(X1)
| hskp9
| ~ c0_1(a79)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_63]),c_0_64]),
[final] ).
cnf(c_0_80,negated_conjecture,
( c3_1(X1)
| hskp9
| ~ c0_1(a87)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]),
[final] ).
cnf(c_0_81,negated_conjecture,
( c2_1(X1)
| c0_1(a87)
| c0_1(X1)
| c1_1(X1)
| hskp2
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_66]),c_0_67]),
[final] ).
cnf(c_0_82,negated_conjecture,
( c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| hskp5
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_55]),c_0_69]),c_0_56]),
[final] ).
cnf(c_0_83,negated_conjecture,
( c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| hskp5
| ~ c0_1(a82)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_61]),c_0_70]),
[final] ).
cnf(c_0_84,negated_conjecture,
( c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| hskp5
| ~ c0_1(a87)
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_66]),c_0_71]),
[final] ).
cnf(c_0_85,negated_conjecture,
( c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| hskp5
| ~ c0_1(a83)
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_57]),c_0_59]),
[final] ).
cnf(c_0_86,negated_conjecture,
( c3_1(X1)
| c3_1(X2)
| c2_1(X1)
| c1_1(X1)
| c1_1(X3)
| ~ c3_1(X3)
| ~ c2_1(X2)
| ~ c0_1(X3)
| ~ c1_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_49])]),
[final] ).
cnf(c_0_87,negated_conjecture,
( c0_1(a82)
| hskp1
| hskp8
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_61]),c_0_70]),
[final] ).
cnf(c_0_88,negated_conjecture,
( c0_1(a87)
| hskp1
| hskp8
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_66]),c_0_71]),
[final] ).
cnf(c_0_89,negated_conjecture,
( c3_1(a79)
| ~ hskp5 ),
clause24,
[final] ).
cnf(c_0_90,negated_conjecture,
( c3_1(a80)
| ~ hskp6 ),
clause21,
[final] ).
cnf(c_0_91,negated_conjecture,
( c3_1(a84)
| ~ hskp8 ),
clause17,
[final] ).
cnf(c_0_92,negated_conjecture,
( c0_1(a80)
| ~ hskp6 ),
clause22,
[final] ).
cnf(c_0_93,negated_conjecture,
( c1_1(a85)
| ~ hskp2 ),
clause29,
[final] ).
cnf(c_0_94,negated_conjecture,
( ~ c3_1(a81)
| ~ hskp0 ),
clause45,
[final] ).
cnf(c_0_95,negated_conjecture,
( c1_1(a80)
| ~ hskp6 ),
clause23,
[final] ).
cnf(c_0_96,negated_conjecture,
( hskp6
| hskp0
| hskp7 ),
clause12,
[final] ).
cnf(c_0_97,negated_conjecture,
( ~ c0_1(a81)
| ~ hskp0 ),
clause46,
[final] ).
cnf(c_0_98,negated_conjecture,
( ~ c1_1(a81)
| ~ hskp0 ),
clause44,
[final] ).
cnf(c_0_99,negated_conjecture,
( ~ c3_1(a85)
| ~ hskp2 ),
clause41,
[final] ).
cnf(c_0_100,negated_conjecture,
( ~ c0_1(a85)
| ~ hskp2 ),
clause40,
[final] ).
cnf(c_0_101,negated_conjecture,
( ~ c2_1(a88)
| ~ hskp4 ),
clause36,
[final] ).
cnf(c_0_102,negated_conjecture,
( c1_1(a84)
| ~ hskp8 ),
clause18,
[final] ).
cnf(c_0_103,negated_conjecture,
( ~ c0_1(a88)
| ~ hskp4 ),
clause37,
[final] ).
cnf(c_0_104,negated_conjecture,
( ~ c1_1(a88)
| ~ hskp4 ),
clause38,
[final] ).
cnf(c_0_105,negated_conjecture,
( ~ c2_1(a84)
| ~ hskp8 ),
clause34,
[final] ).
cnf(c_0_106,negated_conjecture,
( c1_1(a89)
| ~ hskp10 ),
clause14,
[final] ).
cnf(c_0_107,negated_conjecture,
( ~ c2_1(a89)
| ~ hskp10 ),
clause32,
[final] ).
cnf(c_0_108,negated_conjecture,
( ~ c0_1(a89)
| ~ hskp10 ),
clause31,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN496-1 : TPTP v9.2.1. Released v2.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.33 % Computer : n023.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 08:37:23 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.26/1.72 % Version : CSE_E---1.7
% 1.26/1.72 % Problem : theBenchmark.p
% 1.26/1.72 % SZS status Satisfiable for theBenchmark.p
% 1.26/1.72 % SZS output start Saturation
% See solution above
% 1.26/1.72 % Total time : 1.372s
%------------------------------------------------------------------------------