%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN491-1 : TPTP v9.2.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n014.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 05:38:46 PM UTC 2026
% Result : Satisfiable 1.24s 1.71s
% Output : Saturation 1.24s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
( ndr1_0
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
cnf(clause11,negated_conjecture,
( hskp1
| hskp2
| hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
cnf(clause7,negated_conjecture,
( ndr1_0
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
cnf(clause8,negated_conjecture,
( ndr1_0
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
cnf(clause42,negated_conjecture,
( c0_1(X2)
| c2_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
cnf(clause40,negated_conjecture,
( c2_1(X2)
| c0_1(X2)
| c1_1(X1)
| c1_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
cnf(clause41,negated_conjecture,
( c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| c2_1(X1)
| hskp3
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
cnf(clause44,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c0_1(X2)
| c1_1(X3)
| c3_1(X3)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c0_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
cnf(clause39,negated_conjecture,
( c2_1(X1)
| c1_1(X1)
| c3_1(X1)
| c1_1(X2)
| c3_1(X2)
| c0_1(X2)
| hskp4
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
cnf(clause13,negated_conjecture,
( c3_1(a24)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).
cnf(clause12,negated_conjecture,
( c1_1(a24)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).
cnf(clause43,negated_conjecture,
( c3_1(X1)
| c0_1(X2)
| hskp0
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
cnf(clause15,negated_conjecture,
( c2_1(a20)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause15) ).
cnf(clause29,negated_conjecture,
( ~ c0_1(a20)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).
cnf(clause18,negated_conjecture,
( c2_1(a19)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).
cnf(clause22,negated_conjecture,
( c2_1(a17)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).
cnf(clause31,negated_conjecture,
( ~ c3_1(a16)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).
cnf(clause32,negated_conjecture,
( ~ c1_1(a16)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
cnf(clause27,negated_conjecture,
( c2_1(a21)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).
cnf(clause16,negated_conjecture,
( c1_1(a20)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).
cnf(clause28,negated_conjecture,
( c0_1(a21)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).
cnf(clause25,negated_conjecture,
( c0_1(a16)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).
cnf(clause23,negated_conjecture,
( c0_1(a17)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause23) ).
cnf(clause21,negated_conjecture,
( c0_1(a18)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause21) ).
cnf(clause19,negated_conjecture,
( c0_1(a19)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).
cnf(clause14,negated_conjecture,
( c0_1(a24)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).
cnf(clause10,negated_conjecture,
( hskp5
| hskp6
| hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
cnf(clause26,negated_conjecture,
( c1_1(a22)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).
cnf(clause24,negated_conjecture,
( c1_1(a17)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).
cnf(clause20,negated_conjecture,
( c1_1(a18)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).
cnf(clause17,negated_conjecture,
( c1_1(a19)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).
cnf(clause38,negated_conjecture,
( ~ c1_1(a21)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
cnf(clause36,negated_conjecture,
( ~ c2_1(a22)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
cnf(clause37,negated_conjecture,
( ~ c3_1(a22)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
cnf(clause34,negated_conjecture,
( ~ c2_1(a23)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
cnf(clause35,negated_conjecture,
( ~ c0_1(a23)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
cnf(clause33,negated_conjecture,
( ~ c1_1(a23)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
cnf(clause30,negated_conjecture,
( ~ c2_1(a18)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).
cnf(c_0_38,negated_conjecture,
( ndr1_0
| ~ hskp8 ),
clause1 ).
cnf(c_0_39,negated_conjecture,
( hskp1
| hskp2
| hskp8 ),
clause11,
[final] ).
cnf(c_0_40,negated_conjecture,
( ndr1_0
| ~ hskp2 ),
clause7 ).
cnf(c_0_41,negated_conjecture,
( ndr1_0
| ~ hskp1 ),
clause8 ).
cnf(c_0_42,negated_conjecture,
( c0_1(X2)
| c2_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
clause42 ).
cnf(c_0_43,negated_conjecture,
( c2_1(X2)
| c0_1(X2)
| c1_1(X1)
| c1_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause40 ).
cnf(c_0_44,negated_conjecture,
( c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| c2_1(X1)
| hskp3
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1) ),
clause41 ).
cnf(c_0_45,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_41]),
[final] ).
cnf(c_0_46,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c0_1(X2)
| c1_1(X3)
| c3_1(X3)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c0_1(X3) ),
clause44 ).
cnf(c_0_47,negated_conjecture,
( c2_1(X1)
| c1_1(X1)
| c3_1(X1)
| c1_1(X2)
| c3_1(X2)
| c0_1(X2)
| hskp4
| ~ ndr1_0 ),
clause39 ).
cnf(c_0_48,negated_conjecture,
( c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ ndr1_0 ),
inference(csr,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_49,negated_conjecture,
( c2_1(X1)
| c2_1(X2)
| c0_1(X1)
| c3_1(X1)
| hskp3
| ~ c3_1(X2)
| ~ c1_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45])]),
[final] ).
cnf(c_0_50,negated_conjecture,
( c3_1(a24)
| ~ hskp8 ),
clause13,
[final] ).
cnf(c_0_51,negated_conjecture,
( c1_1(a24)
| ~ hskp8 ),
clause12,
[final] ).
cnf(c_0_52,negated_conjecture,
( c3_1(X1)
| c0_1(X2)
| hskp0
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ),
clause43 ).
cnf(c_0_53,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c3_1(X3)
| c1_1(X3)
| c1_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X3)
| ~ c3_1(X1)
| ~ c3_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_45])]),
[final] ).
cnf(c_0_54,negated_conjecture,
( c2_1(a20)
| ~ hskp7 ),
clause15,
[final] ).
cnf(c_0_55,negated_conjecture,
( ~ c0_1(a20)
| ~ hskp7 ),
clause29,
[final] ).
cnf(c_0_56,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c3_1(X1)
| c3_1(X2)
| c1_1(X1)
| c1_1(X2)
| hskp4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_45])]),
[final] ).
cnf(c_0_57,negated_conjecture,
( c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_45])]),
[final] ).
cnf(c_0_58,negated_conjecture,
( c2_1(a19)
| ~ hskp6 ),
clause18,
[final] ).
cnf(c_0_59,negated_conjecture,
( c2_1(a17)
| ~ hskp4 ),
clause22,
[final] ).
cnf(c_0_60,negated_conjecture,
( ~ c3_1(a16)
| ~ hskp3 ),
clause31,
[final] ).
cnf(c_0_61,negated_conjecture,
( ~ c1_1(a16)
| ~ hskp3 ),
clause32,
[final] ).
cnf(c_0_62,negated_conjecture,
( c2_1(a21)
| ~ hskp0 ),
clause27,
[final] ).
cnf(c_0_63,negated_conjecture,
( c2_1(a24)
| c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| hskp3
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),
[final] ).
cnf(c_0_64,negated_conjecture,
( c0_1(X1)
| c3_1(X2)
| hskp0
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_45])]),
[final] ).
cnf(c_0_65,negated_conjecture,
( c1_1(a20)
| ~ hskp7 ),
clause16,
[final] ).
cnf(c_0_66,negated_conjecture,
( c0_1(X1)
| c3_1(X2)
| c1_1(X1)
| c1_1(X2)
| ~ c0_1(X2)
| ~ c3_1(a20)
| ~ c3_1(X1)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]),
[final] ).
cnf(c_0_67,negated_conjecture,
( c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| c1_1(X1)
| hskp4 ),
inference(ef,[status(thm)],[c_0_56]),
[final] ).
cnf(c_0_68,negated_conjecture,
( c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| ~ c3_1(a20)
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_57,c_0_54]),
[final] ).
cnf(c_0_69,negated_conjecture,
( c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| ~ c3_1(a19)
| ~ hskp6 ),
inference(spm,[status(thm)],[c_0_57,c_0_58]),
[final] ).
cnf(c_0_70,negated_conjecture,
( c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| ~ c3_1(a17)
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_57,c_0_59]),
[final] ).
cnf(c_0_71,negated_conjecture,
( c2_1(a16)
| c0_1(X1)
| c3_1(X1)
| c1_1(X1)
| hskp4
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_56]),c_0_61]),
[final] ).
cnf(c_0_72,negated_conjecture,
( c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| ~ c3_1(a21)
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_57,c_0_62]),
[final] ).
cnf(c_0_73,negated_conjecture,
( c2_1(a24)
| c2_1(X1)
| c0_1(X1)
| c3_1(X1)
| hskp1
| hskp2
| hskp3 ),
inference(spm,[status(thm)],[c_0_63,c_0_39]),
[final] ).
cnf(c_0_74,negated_conjecture,
( c3_1(X1)
| hskp0
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_54]),c_0_65]),c_0_55]),
[final] ).
cnf(c_0_75,negated_conjecture,
( c0_1(a21)
| ~ hskp0 ),
clause28,
[final] ).
cnf(c_0_76,negated_conjecture,
( c0_1(a16)
| ~ hskp3 ),
clause25,
[final] ).
cnf(c_0_77,negated_conjecture,
( c0_1(a17)
| ~ hskp4 ),
clause23,
[final] ).
cnf(c_0_78,negated_conjecture,
( c0_1(a18)
| ~ hskp5 ),
clause21,
[final] ).
cnf(c_0_79,negated_conjecture,
( c0_1(a19)
| ~ hskp6 ),
clause19,
[final] ).
cnf(c_0_80,negated_conjecture,
( c0_1(a24)
| ~ hskp8 ),
clause14,
[final] ).
cnf(c_0_81,negated_conjecture,
( hskp5
| hskp6
| hskp7 ),
clause10,
[final] ).
cnf(c_0_82,negated_conjecture,
( c1_1(a22)
| ~ hskp1 ),
clause26,
[final] ).
cnf(c_0_83,negated_conjecture,
( c1_1(a17)
| ~ hskp4 ),
clause24,
[final] ).
cnf(c_0_84,negated_conjecture,
( c1_1(a18)
| ~ hskp5 ),
clause20,
[final] ).
cnf(c_0_85,negated_conjecture,
( c1_1(a19)
| ~ hskp6 ),
clause17,
[final] ).
cnf(c_0_86,negated_conjecture,
( ~ c1_1(a21)
| ~ hskp0 ),
clause38,
[final] ).
cnf(c_0_87,negated_conjecture,
( ~ c2_1(a22)
| ~ hskp1 ),
clause36,
[final] ).
cnf(c_0_88,negated_conjecture,
( ~ c3_1(a22)
| ~ hskp1 ),
clause37,
[final] ).
cnf(c_0_89,negated_conjecture,
( ~ c2_1(a23)
| ~ hskp2 ),
clause34,
[final] ).
cnf(c_0_90,negated_conjecture,
( ~ c0_1(a23)
| ~ hskp2 ),
clause35,
[final] ).
cnf(c_0_91,negated_conjecture,
( ~ c1_1(a23)
| ~ hskp2 ),
clause33,
[final] ).
cnf(c_0_92,negated_conjecture,
( ~ c2_1(a18)
| ~ hskp5 ),
clause30,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN491-1 : TPTP v9.2.1. Released v2.1.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n014.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 08:36:21 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 1.24/1.71 % Version : CSE_E---1.7
% 1.24/1.71 % Problem : theBenchmark.p
% 1.24/1.71 % SZS status Satisfiable for theBenchmark.p
% 1.24/1.71 % SZS output start Saturation
% See solution above
% 1.24/1.71 % Total time : 1.372s
%------------------------------------------------------------------------------