TSTP Solution File: ALG185+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG185+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 : Fri May 3 02:04:08 EDT 2024
% Result : Theorem 2.47s 1.15s
% Output : CNFRefutation 2.47s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( e13 != e14
& e12 != e14
& e12 != e13
& e11 != e14
& e11 != e13
& e11 != e12
& e10 != e14
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( e23 != e24
& e22 != e24
& e22 != e23
& e21 != e24
& e21 != e23
& e21 != e22
& e20 != e24
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f4,axiom,
( e14 = op1(e14,e14)
& e10 = op1(e14,e13)
& e11 = op1(e14,e12)
& e12 = op1(e14,e11)
& e13 = op1(e14,e10)
& e11 = op1(e13,e14)
& e13 = op1(e13,e13)
& e10 = op1(e13,e12)
& e14 = op1(e13,e11)
& e12 = op1(e13,e10)
& e13 = op1(e12,e14)
& e14 = op1(e12,e13)
& e12 = op1(e12,e12)
& e10 = op1(e12,e11)
& e11 = op1(e12,e10)
& e10 = op1(e11,e14)
& e12 = op1(e11,e13)
& e13 = op1(e11,e12)
& e11 = op1(e11,e11)
& e14 = op1(e11,e10)
& e12 = op1(e10,e14)
& e11 = op1(e10,e13)
& e14 = op1(e10,e12)
& e13 = op1(e10,e11)
& e10 = op1(e10,e10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( e24 = op2(e24,e24)
& e21 = op2(e24,e23)
& e20 = op2(e24,e22)
& e22 = op2(e24,e21)
& e23 = op2(e24,e20)
& e22 = op2(e23,e24)
& e23 = op2(e23,e23)
& e21 = op2(e23,e22)
& e20 = op2(e23,e21)
& e24 = op2(e23,e20)
& e23 = op2(e22,e24)
& e20 = op2(e22,e23)
& e22 = op2(e22,e22)
& e24 = op2(e22,e21)
& e21 = op2(e22,e20)
& e20 = op2(e21,e24)
& e24 = op2(e21,e23)
& e23 = op2(e21,e22)
& e21 = op2(e21,e21)
& e22 = op2(e21,e20)
& e21 = op2(e20,e24)
& e22 = op2(e20,e23)
& e24 = op2(e20,e22)
& e23 = op2(e20,e21)
& e20 = op2(e20,e20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f6,conjecture,
( ( ( e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24)
| e11 = j(e24)
| e10 = j(e24) )
& ( e14 = j(e23)
| e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) )
& ( e14 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) )
& ( e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) )
& ( e14 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) )
& ( e24 = h(e14)
| e23 = h(e14)
| e22 = h(e14)
| e21 = h(e14)
| e20 = h(e14) )
& ( e24 = h(e13)
| e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) )
& ( e24 = h(e12)
| e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) )
& ( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) )
& ( e24 = h(e10)
| e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ) )
=> ~ ( e14 = j(h(e14))
& e13 = j(h(e13))
& e12 = j(h(e12))
& e11 = j(h(e11))
& e10 = j(h(e10))
& e24 = h(j(e24))
& e23 = h(j(e23))
& e22 = h(j(e22))
& e21 = h(j(e21))
& e20 = h(j(e20))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f7,negated_conjecture,
~ ( ( ( e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24)
| e11 = j(e24)
| e10 = j(e24) )
& ( e14 = j(e23)
| e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) )
& ( e14 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) )
& ( e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) )
& ( e14 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) )
& ( e24 = h(e14)
| e23 = h(e14)
| e22 = h(e14)
| e21 = h(e14)
| e20 = h(e14) )
& ( e24 = h(e13)
| e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) )
& ( e24 = h(e12)
| e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) )
& ( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) )
& ( e24 = h(e10)
| e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ) )
=> ~ ( e14 = j(h(e14))
& e13 = j(h(e13))
& e12 = j(h(e12))
& e11 = j(h(e11))
& e10 = j(h(e10))
& e24 = h(j(e24))
& e23 = h(j(e23))
& e22 = h(j(e22))
& e21 = h(j(e21))
& e20 = h(j(e20))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
inference(negated_conjecture,[],[f6]) ).
fof(f8,plain,
( e14 = j(h(e14))
& e13 = j(h(e13))
& e12 = j(h(e12))
& e11 = j(h(e11))
& e10 = j(h(e10))
& e24 = h(j(e24))
& e23 = h(j(e23))
& e22 = h(j(e22))
& e21 = h(j(e21))
& e20 = h(j(e20))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& ( e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24)
| e11 = j(e24)
| e10 = j(e24) )
& ( e14 = j(e23)
| e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) )
& ( e14 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) )
& ( e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) )
& ( e14 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) )
& ( e24 = h(e14)
| e23 = h(e14)
| e22 = h(e14)
| e21 = h(e14)
| e20 = h(e14) )
& ( e24 = h(e13)
| e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) )
& ( e24 = h(e12)
| e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) )
& ( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) )
& ( e24 = h(e10)
| e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,plain,
( e14 = j(h(e14))
& e13 = j(h(e13))
& e12 = j(h(e12))
& e11 = j(h(e11))
& e10 = j(h(e10))
& e24 = h(j(e24))
& e23 = h(j(e23))
& e22 = h(j(e22))
& e21 = h(j(e21))
& e20 = h(j(e20))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& ( e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24)
| e11 = j(e24)
| e10 = j(e24) )
& ( e14 = j(e23)
| e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) )
& ( e14 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) )
& ( e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) )
& ( e14 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) )
& ( e24 = h(e14)
| e23 = h(e14)
| e22 = h(e14)
| e21 = h(e14)
| e20 = h(e14) )
& ( e24 = h(e13)
| e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) )
& ( e24 = h(e12)
| e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) )
& ( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) )
& ( e24 = h(e10)
| e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
e10 != e11,
inference(cnf_transformation,[],[f1]) ).
fof(f11,plain,
e10 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f12,plain,
e10 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f13,plain,
e10 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f14,plain,
e11 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f15,plain,
e11 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f23,plain,
e20 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f24,plain,
e21 != e22,
inference(cnf_transformation,[],[f2]) ).
fof(f26,plain,
e21 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f28,plain,
e22 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f56,plain,
e13 = op1(e10,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f57,plain,
e14 = op1(e10,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f58,plain,
e11 = op1(e10,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f59,plain,
e12 = op1(e10,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f60,plain,
e14 = op1(e11,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f62,plain,
e13 = op1(e11,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f63,plain,
e12 = op1(e11,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f64,plain,
e10 = op1(e11,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f65,plain,
e11 = op1(e12,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f69,plain,
e13 = op1(e12,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f70,plain,
e12 = op1(e13,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f71,plain,
e14 = op1(e13,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f72,plain,
e10 = op1(e13,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f74,plain,
e11 = op1(e13,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f75,plain,
e13 = op1(e14,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f76,plain,
e12 = op1(e14,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f77,plain,
e11 = op1(e14,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f81,plain,
e23 = op2(e20,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f82,plain,
e24 = op2(e20,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f83,plain,
e22 = op2(e20,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f84,plain,
e21 = op2(e20,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f85,plain,
e22 = op2(e21,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f88,plain,
e24 = op2(e21,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f89,plain,
e20 = op2(e21,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f90,plain,
e21 = op2(e22,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f91,plain,
e24 = op2(e22,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f93,plain,
e20 = op2(e22,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f94,plain,
e23 = op2(e22,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f95,plain,
e24 = op2(e23,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f97,plain,
e21 = op2(e23,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f99,plain,
e22 = op2(e23,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f100,plain,
e23 = op2(e24,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f101,plain,
e22 = op2(e24,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f102,plain,
e20 = op2(e24,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f103,plain,
e21 = op2(e24,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f105,plain,
( e24 = h(e10)
| e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ),
inference(cnf_transformation,[],[f9]) ).
fof(f106,plain,
( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) ),
inference(cnf_transformation,[],[f9]) ).
fof(f114,plain,
( e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24)
| e11 = j(e24)
| e10 = j(e24) ),
inference(cnf_transformation,[],[f9]) ).
fof(f116,plain,
h(op1(e10,e11)) = op2(h(e10),h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f117,plain,
h(op1(e10,e12)) = op2(h(e10),h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f118,plain,
h(op1(e10,e13)) = op2(h(e10),h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f119,plain,
h(op1(e10,e14)) = op2(h(e10),h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f120,plain,
h(op1(e11,e10)) = op2(h(e11),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f122,plain,
h(op1(e11,e12)) = op2(h(e11),h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f123,plain,
h(op1(e11,e13)) = op2(h(e11),h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f124,plain,
h(op1(e11,e14)) = op2(h(e11),h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f125,plain,
h(op1(e12,e10)) = op2(h(e12),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f129,plain,
h(op1(e12,e14)) = op2(h(e12),h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f131,plain,
h(op1(e13,e11)) = op2(h(e13),h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f135,plain,
h(op1(e14,e10)) = op2(h(e14),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f136,plain,
h(op1(e14,e11)) = op2(h(e14),h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f137,plain,
h(op1(e14,e12)) = op2(h(e14),h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f141,plain,
j(op2(e20,e21)) = op1(j(e20),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f143,plain,
j(op2(e20,e23)) = op1(j(e20),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f144,plain,
j(op2(e20,e24)) = op1(j(e20),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f149,plain,
j(op2(e21,e24)) = op1(j(e21),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f150,plain,
j(op2(e22,e20)) = op1(j(e22),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f151,plain,
j(op2(e22,e21)) = op1(j(e22),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f153,plain,
j(op2(e22,e23)) = op1(j(e22),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f157,plain,
j(op2(e23,e22)) = op1(j(e23),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f159,plain,
j(op2(e23,e24)) = op1(j(e23),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f160,plain,
j(op2(e24,e20)) = op1(j(e24),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f161,plain,
j(op2(e24,e21)) = op1(j(e24),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f162,plain,
j(op2(e24,e22)) = op1(j(e24),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f163,plain,
j(op2(e24,e23)) = op1(j(e24),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f165,plain,
e20 = h(j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f166,plain,
e21 = h(j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f167,plain,
e22 = h(j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f168,plain,
e23 = h(j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f169,plain,
e24 = h(j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f170,plain,
e10 = j(h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f171,plain,
e11 = j(h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f172,plain,
e12 = j(h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f173,plain,
e13 = j(h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f174,plain,
e14 = j(h(e14)),
inference(cnf_transformation,[],[f9]) ).
cnf(c_53,plain,
e13 != e11,
inference(cnf_transformation,[],[f15]) ).
cnf(c_54,plain,
e12 != e11,
inference(cnf_transformation,[],[f14]) ).
cnf(c_55,plain,
e14 != e10,
inference(cnf_transformation,[],[f13]) ).
cnf(c_56,plain,
e13 != e10,
inference(cnf_transformation,[],[f12]) ).
cnf(c_57,plain,
e12 != e10,
inference(cnf_transformation,[],[f11]) ).
cnf(c_58,plain,
e11 != e10,
inference(cnf_transformation,[],[f10]) ).
cnf(c_60,plain,
e24 != e22,
inference(cnf_transformation,[],[f28]) ).
cnf(c_62,plain,
e24 != e21,
inference(cnf_transformation,[],[f26]) ).
cnf(c_64,plain,
e22 != e21,
inference(cnf_transformation,[],[f24]) ).
cnf(c_65,plain,
e24 != e20,
inference(cnf_transformation,[],[f23]) ).
cnf(c_96,plain,
op1(e14,e12) = e11,
inference(cnf_transformation,[],[f77]) ).
cnf(c_97,plain,
op1(e14,e11) = e12,
inference(cnf_transformation,[],[f76]) ).
cnf(c_98,plain,
op1(e14,e10) = e13,
inference(cnf_transformation,[],[f75]) ).
cnf(c_99,plain,
op1(e13,e14) = e11,
inference(cnf_transformation,[],[f74]) ).
cnf(c_101,plain,
op1(e13,e12) = e10,
inference(cnf_transformation,[],[f72]) ).
cnf(c_102,plain,
op1(e13,e11) = e14,
inference(cnf_transformation,[],[f71]) ).
cnf(c_103,plain,
op1(e13,e10) = e12,
inference(cnf_transformation,[],[f70]) ).
cnf(c_104,plain,
op1(e12,e14) = e13,
inference(cnf_transformation,[],[f69]) ).
cnf(c_108,plain,
op1(e12,e10) = e11,
inference(cnf_transformation,[],[f65]) ).
cnf(c_109,plain,
op1(e11,e14) = e10,
inference(cnf_transformation,[],[f64]) ).
cnf(c_110,plain,
op1(e11,e13) = e12,
inference(cnf_transformation,[],[f63]) ).
cnf(c_111,plain,
op1(e11,e12) = e13,
inference(cnf_transformation,[],[f62]) ).
cnf(c_113,plain,
op1(e11,e10) = e14,
inference(cnf_transformation,[],[f60]) ).
cnf(c_114,plain,
op1(e10,e14) = e12,
inference(cnf_transformation,[],[f59]) ).
cnf(c_115,plain,
op1(e10,e13) = e11,
inference(cnf_transformation,[],[f58]) ).
cnf(c_116,plain,
op1(e10,e12) = e14,
inference(cnf_transformation,[],[f57]) ).
cnf(c_117,plain,
op1(e10,e11) = e13,
inference(cnf_transformation,[],[f56]) ).
cnf(c_120,plain,
op2(e24,e23) = e21,
inference(cnf_transformation,[],[f103]) ).
cnf(c_121,plain,
op2(e24,e22) = e20,
inference(cnf_transformation,[],[f102]) ).
cnf(c_122,plain,
op2(e24,e21) = e22,
inference(cnf_transformation,[],[f101]) ).
cnf(c_123,plain,
op2(e24,e20) = e23,
inference(cnf_transformation,[],[f100]) ).
cnf(c_124,plain,
op2(e23,e24) = e22,
inference(cnf_transformation,[],[f99]) ).
cnf(c_126,plain,
op2(e23,e22) = e21,
inference(cnf_transformation,[],[f97]) ).
cnf(c_128,plain,
op2(e23,e20) = e24,
inference(cnf_transformation,[],[f95]) ).
cnf(c_129,plain,
op2(e22,e24) = e23,
inference(cnf_transformation,[],[f94]) ).
cnf(c_130,plain,
op2(e22,e23) = e20,
inference(cnf_transformation,[],[f93]) ).
cnf(c_132,plain,
op2(e22,e21) = e24,
inference(cnf_transformation,[],[f91]) ).
cnf(c_133,plain,
op2(e22,e20) = e21,
inference(cnf_transformation,[],[f90]) ).
cnf(c_134,plain,
op2(e21,e24) = e20,
inference(cnf_transformation,[],[f89]) ).
cnf(c_135,plain,
op2(e21,e23) = e24,
inference(cnf_transformation,[],[f88]) ).
cnf(c_138,plain,
op2(e21,e20) = e22,
inference(cnf_transformation,[],[f85]) ).
cnf(c_139,plain,
op2(e20,e24) = e21,
inference(cnf_transformation,[],[f84]) ).
cnf(c_140,plain,
op2(e20,e23) = e22,
inference(cnf_transformation,[],[f83]) ).
cnf(c_141,plain,
op2(e20,e22) = e24,
inference(cnf_transformation,[],[f82]) ).
cnf(c_142,plain,
op2(e20,e21) = e23,
inference(cnf_transformation,[],[f81]) ).
cnf(c_144,negated_conjecture,
j(h(e14)) = e14,
inference(cnf_transformation,[],[f174]) ).
cnf(c_145,negated_conjecture,
j(h(e13)) = e13,
inference(cnf_transformation,[],[f173]) ).
cnf(c_146,negated_conjecture,
j(h(e12)) = e12,
inference(cnf_transformation,[],[f172]) ).
cnf(c_147,negated_conjecture,
j(h(e11)) = e11,
inference(cnf_transformation,[],[f171]) ).
cnf(c_148,negated_conjecture,
j(h(e10)) = e10,
inference(cnf_transformation,[],[f170]) ).
cnf(c_149,negated_conjecture,
h(j(e24)) = e24,
inference(cnf_transformation,[],[f169]) ).
cnf(c_150,negated_conjecture,
h(j(e23)) = e23,
inference(cnf_transformation,[],[f168]) ).
cnf(c_151,negated_conjecture,
h(j(e22)) = e22,
inference(cnf_transformation,[],[f167]) ).
cnf(c_152,negated_conjecture,
h(j(e21)) = e21,
inference(cnf_transformation,[],[f166]) ).
cnf(c_153,negated_conjecture,
h(j(e20)) = e20,
inference(cnf_transformation,[],[f165]) ).
cnf(c_155,negated_conjecture,
op1(j(e24),j(e23)) = j(op2(e24,e23)),
inference(cnf_transformation,[],[f163]) ).
cnf(c_156,negated_conjecture,
op1(j(e24),j(e22)) = j(op2(e24,e22)),
inference(cnf_transformation,[],[f162]) ).
cnf(c_157,negated_conjecture,
op1(j(e24),j(e21)) = j(op2(e24,e21)),
inference(cnf_transformation,[],[f161]) ).
cnf(c_158,negated_conjecture,
op1(j(e24),j(e20)) = j(op2(e24,e20)),
inference(cnf_transformation,[],[f160]) ).
cnf(c_159,negated_conjecture,
op1(j(e23),j(e24)) = j(op2(e23,e24)),
inference(cnf_transformation,[],[f159]) ).
cnf(c_161,negated_conjecture,
op1(j(e23),j(e22)) = j(op2(e23,e22)),
inference(cnf_transformation,[],[f157]) ).
cnf(c_165,negated_conjecture,
op1(j(e22),j(e23)) = j(op2(e22,e23)),
inference(cnf_transformation,[],[f153]) ).
cnf(c_167,negated_conjecture,
op1(j(e22),j(e21)) = j(op2(e22,e21)),
inference(cnf_transformation,[],[f151]) ).
cnf(c_168,negated_conjecture,
op1(j(e22),j(e20)) = j(op2(e22,e20)),
inference(cnf_transformation,[],[f150]) ).
cnf(c_169,negated_conjecture,
op1(j(e21),j(e24)) = j(op2(e21,e24)),
inference(cnf_transformation,[],[f149]) ).
cnf(c_174,negated_conjecture,
op1(j(e20),j(e24)) = j(op2(e20,e24)),
inference(cnf_transformation,[],[f144]) ).
cnf(c_175,negated_conjecture,
op1(j(e20),j(e23)) = j(op2(e20,e23)),
inference(cnf_transformation,[],[f143]) ).
cnf(c_177,negated_conjecture,
op1(j(e20),j(e21)) = j(op2(e20,e21)),
inference(cnf_transformation,[],[f141]) ).
cnf(c_181,negated_conjecture,
op2(h(e14),h(e12)) = h(op1(e14,e12)),
inference(cnf_transformation,[],[f137]) ).
cnf(c_182,negated_conjecture,
op2(h(e14),h(e11)) = h(op1(e14,e11)),
inference(cnf_transformation,[],[f136]) ).
cnf(c_183,negated_conjecture,
op2(h(e14),h(e10)) = h(op1(e14,e10)),
inference(cnf_transformation,[],[f135]) ).
cnf(c_187,negated_conjecture,
op2(h(e13),h(e11)) = h(op1(e13,e11)),
inference(cnf_transformation,[],[f131]) ).
cnf(c_189,negated_conjecture,
op2(h(e12),h(e14)) = h(op1(e12,e14)),
inference(cnf_transformation,[],[f129]) ).
cnf(c_193,negated_conjecture,
op2(h(e12),h(e10)) = h(op1(e12,e10)),
inference(cnf_transformation,[],[f125]) ).
cnf(c_194,negated_conjecture,
op2(h(e11),h(e14)) = h(op1(e11,e14)),
inference(cnf_transformation,[],[f124]) ).
cnf(c_195,negated_conjecture,
op2(h(e11),h(e13)) = h(op1(e11,e13)),
inference(cnf_transformation,[],[f123]) ).
cnf(c_196,negated_conjecture,
op2(h(e11),h(e12)) = h(op1(e11,e12)),
inference(cnf_transformation,[],[f122]) ).
cnf(c_198,negated_conjecture,
op2(h(e11),h(e10)) = h(op1(e11,e10)),
inference(cnf_transformation,[],[f120]) ).
cnf(c_199,negated_conjecture,
op2(h(e10),h(e14)) = h(op1(e10,e14)),
inference(cnf_transformation,[],[f119]) ).
cnf(c_200,negated_conjecture,
op2(h(e10),h(e13)) = h(op1(e10,e13)),
inference(cnf_transformation,[],[f118]) ).
cnf(c_201,negated_conjecture,
op2(h(e10),h(e12)) = h(op1(e10,e12)),
inference(cnf_transformation,[],[f117]) ).
cnf(c_202,negated_conjecture,
op2(h(e10),h(e11)) = h(op1(e10,e11)),
inference(cnf_transformation,[],[f116]) ).
cnf(c_204,negated_conjecture,
( j(e24) = e13
| j(e24) = e14
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 ),
inference(cnf_transformation,[],[f114]) ).
cnf(c_212,negated_conjecture,
( h(e11) = e23
| h(e11) = e24
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(cnf_transformation,[],[f106]) ).
cnf(c_213,negated_conjecture,
( h(e10) = e23
| h(e10) = e24
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(cnf_transformation,[],[f105]) ).
cnf(c_625,plain,
op2(h(e10),h(e11)) = h(e13),
inference(light_normalisation,[status(thm)],[c_202,c_117]) ).
cnf(c_626,plain,
op2(h(e10),h(e12)) = h(e14),
inference(light_normalisation,[status(thm)],[c_201,c_116]) ).
cnf(c_627,plain,
op2(h(e10),h(e13)) = h(e11),
inference(light_normalisation,[status(thm)],[c_200,c_115]) ).
cnf(c_628,plain,
op2(h(e10),h(e14)) = h(e12),
inference(light_normalisation,[status(thm)],[c_199,c_114]) ).
cnf(c_629,plain,
op2(h(e11),h(e10)) = h(e14),
inference(light_normalisation,[status(thm)],[c_198,c_113]) ).
cnf(c_631,plain,
op2(h(e11),h(e12)) = h(e13),
inference(light_normalisation,[status(thm)],[c_196,c_111]) ).
cnf(c_632,plain,
op2(h(e11),h(e13)) = h(e12),
inference(light_normalisation,[status(thm)],[c_195,c_110]) ).
cnf(c_633,plain,
op2(h(e11),h(e14)) = h(e10),
inference(light_normalisation,[status(thm)],[c_194,c_109]) ).
cnf(c_634,plain,
op2(h(e12),h(e10)) = h(e11),
inference(light_normalisation,[status(thm)],[c_193,c_108]) ).
cnf(c_638,plain,
op2(h(e12),h(e14)) = h(e13),
inference(light_normalisation,[status(thm)],[c_189,c_104]) ).
cnf(c_640,plain,
op2(h(e13),h(e11)) = h(e14),
inference(light_normalisation,[status(thm)],[c_187,c_102]) ).
cnf(c_644,plain,
op2(h(e14),h(e10)) = h(e13),
inference(light_normalisation,[status(thm)],[c_183,c_98]) ).
cnf(c_645,plain,
op2(h(e14),h(e11)) = h(e12),
inference(light_normalisation,[status(thm)],[c_182,c_97]) ).
cnf(c_646,plain,
op2(h(e14),h(e12)) = h(e11),
inference(light_normalisation,[status(thm)],[c_181,c_96]) ).
cnf(c_650,plain,
op1(j(e20),j(e21)) = j(e23),
inference(light_normalisation,[status(thm)],[c_177,c_142]) ).
cnf(c_652,plain,
op1(j(e20),j(e23)) = j(e22),
inference(light_normalisation,[status(thm)],[c_175,c_140]) ).
cnf(c_653,plain,
op1(j(e20),j(e24)) = j(e21),
inference(light_normalisation,[status(thm)],[c_174,c_139]) ).
cnf(c_658,plain,
op1(j(e21),j(e24)) = j(e20),
inference(light_normalisation,[status(thm)],[c_169,c_134]) ).
cnf(c_659,plain,
op1(j(e22),j(e20)) = j(e21),
inference(light_normalisation,[status(thm)],[c_168,c_133]) ).
cnf(c_660,plain,
op1(j(e22),j(e21)) = j(e24),
inference(light_normalisation,[status(thm)],[c_167,c_132]) ).
cnf(c_662,plain,
op1(j(e22),j(e23)) = j(e20),
inference(light_normalisation,[status(thm)],[c_165,c_130]) ).
cnf(c_666,plain,
op1(j(e23),j(e22)) = j(e21),
inference(light_normalisation,[status(thm)],[c_161,c_126]) ).
cnf(c_668,plain,
op1(j(e23),j(e24)) = j(e22),
inference(light_normalisation,[status(thm)],[c_159,c_124]) ).
cnf(c_669,plain,
op1(j(e24),j(e20)) = j(e23),
inference(light_normalisation,[status(thm)],[c_158,c_123]) ).
cnf(c_670,plain,
op1(j(e24),j(e21)) = j(e22),
inference(light_normalisation,[status(thm)],[c_157,c_122]) ).
cnf(c_671,plain,
op1(j(e24),j(e22)) = j(e20),
inference(light_normalisation,[status(thm)],[c_156,c_121]) ).
cnf(c_672,plain,
op1(j(e24),j(e23)) = j(e21),
inference(light_normalisation,[status(thm)],[c_155,c_120]) ).
cnf(c_775,plain,
h(e10) = sP0_iProver_def,
definition ).
cnf(c_776,plain,
h(e11) = sP1_iProver_def,
definition ).
cnf(c_777,plain,
h(e12) = sP2_iProver_def,
definition ).
cnf(c_778,plain,
h(e13) = sP3_iProver_def,
definition ).
cnf(c_779,plain,
h(e14) = sP4_iProver_def,
definition ).
cnf(c_780,plain,
j(e20) = sP5_iProver_def,
definition ).
cnf(c_781,plain,
j(e21) = sP6_iProver_def,
definition ).
cnf(c_782,plain,
j(e22) = sP7_iProver_def,
definition ).
cnf(c_783,plain,
j(e23) = sP8_iProver_def,
definition ).
cnf(c_784,plain,
j(e24) = sP9_iProver_def,
definition ).
cnf(c_785,plain,
h(sP5_iProver_def) = sP10_iProver_def,
definition ).
cnf(c_786,plain,
h(sP6_iProver_def) = sP11_iProver_def,
definition ).
cnf(c_787,plain,
h(sP7_iProver_def) = sP12_iProver_def,
definition ).
cnf(c_788,plain,
h(sP8_iProver_def) = sP13_iProver_def,
definition ).
cnf(c_789,plain,
h(sP9_iProver_def) = sP14_iProver_def,
definition ).
cnf(c_790,plain,
j(sP0_iProver_def) = sP15_iProver_def,
definition ).
cnf(c_791,plain,
j(sP1_iProver_def) = sP16_iProver_def,
definition ).
cnf(c_792,plain,
j(sP2_iProver_def) = sP17_iProver_def,
definition ).
cnf(c_793,plain,
j(sP3_iProver_def) = sP18_iProver_def,
definition ).
cnf(c_794,plain,
j(sP4_iProver_def) = sP19_iProver_def,
definition ).
cnf(c_795,negated_conjecture,
( sP0_iProver_def = e23
| sP0_iProver_def = e24
| sP0_iProver_def = e22
| sP0_iProver_def = e21
| sP0_iProver_def = e20 ),
inference(demodulation,[status(thm)],[c_213,c_775]) ).
cnf(c_796,negated_conjecture,
( sP1_iProver_def = e23
| sP1_iProver_def = e24
| sP1_iProver_def = e22
| sP1_iProver_def = e21
| sP1_iProver_def = e20 ),
inference(demodulation,[status(thm)],[c_212,c_776]) ).
cnf(c_804,negated_conjecture,
( sP9_iProver_def = e13
| sP9_iProver_def = e14
| sP9_iProver_def = e12
| sP9_iProver_def = e11
| sP9_iProver_def = e10 ),
inference(demodulation,[status(thm)],[c_204,c_784]) ).
cnf(c_805,negated_conjecture,
sP10_iProver_def = e20,
inference(demodulation,[status(thm)],[c_153,c_785]) ).
cnf(c_806,negated_conjecture,
sP11_iProver_def = e21,
inference(demodulation,[status(thm)],[c_152,c_786]) ).
cnf(c_807,negated_conjecture,
sP12_iProver_def = e22,
inference(demodulation,[status(thm)],[c_151,c_787]) ).
cnf(c_808,negated_conjecture,
sP13_iProver_def = e23,
inference(demodulation,[status(thm)],[c_150,c_788]) ).
cnf(c_809,negated_conjecture,
sP14_iProver_def = e24,
inference(demodulation,[status(thm)],[c_149,c_789]) ).
cnf(c_810,negated_conjecture,
sP15_iProver_def = e10,
inference(demodulation,[status(thm)],[c_148,c_790]) ).
cnf(c_811,negated_conjecture,
sP16_iProver_def = e11,
inference(demodulation,[status(thm)],[c_147,c_791]) ).
cnf(c_812,negated_conjecture,
sP17_iProver_def = e12,
inference(demodulation,[status(thm)],[c_146,c_792]) ).
cnf(c_813,negated_conjecture,
sP18_iProver_def = e13,
inference(demodulation,[status(thm)],[c_145,c_793]) ).
cnf(c_814,negated_conjecture,
sP19_iProver_def = e14,
inference(demodulation,[status(thm)],[c_144,c_794]) ).
cnf(c_1309,plain,
sP16_iProver_def != sP18_iProver_def,
inference(light_normalisation,[status(thm)],[c_53,c_811,c_813]) ).
cnf(c_1310,plain,
sP16_iProver_def != sP17_iProver_def,
inference(light_normalisation,[status(thm)],[c_54,c_811,c_812]) ).
cnf(c_1311,plain,
( sP0_iProver_def = sP10_iProver_def
| sP0_iProver_def = sP11_iProver_def
| sP0_iProver_def = sP12_iProver_def
| sP0_iProver_def = sP13_iProver_def
| sP0_iProver_def = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_795,c_805,c_806,c_807,c_808,c_809]) ).
cnf(c_1317,plain,
( sP1_iProver_def = sP10_iProver_def
| sP1_iProver_def = sP11_iProver_def
| sP1_iProver_def = sP12_iProver_def
| sP1_iProver_def = sP13_iProver_def
| sP1_iProver_def = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_796,c_805,c_806,c_807,c_808,c_809]) ).
cnf(c_1546,plain,
op2(sP0_iProver_def,sP1_iProver_def) = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_625,c_775,c_776,c_778]) ).
cnf(c_1547,plain,
sP15_iProver_def != sP19_iProver_def,
inference(light_normalisation,[status(thm)],[c_55,c_810,c_814]) ).
cnf(c_1551,plain,
sP15_iProver_def != sP18_iProver_def,
inference(light_normalisation,[status(thm)],[c_56,c_810,c_813]) ).
cnf(c_1552,plain,
sP15_iProver_def != sP17_iProver_def,
inference(light_normalisation,[status(thm)],[c_57,c_810,c_812]) ).
cnf(c_1553,plain,
sP15_iProver_def != sP16_iProver_def,
inference(light_normalisation,[status(thm)],[c_58,c_810,c_811]) ).
cnf(c_1621,plain,
( sP9_iProver_def = sP15_iProver_def
| sP9_iProver_def = sP16_iProver_def
| sP9_iProver_def = sP17_iProver_def
| sP9_iProver_def = sP18_iProver_def
| sP9_iProver_def = sP19_iProver_def ),
inference(light_normalisation,[status(thm)],[c_804,c_810,c_811,c_812,c_813,c_814]) ).
cnf(c_1680,plain,
op2(sP0_iProver_def,sP2_iProver_def) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_626,c_775,c_777,c_779]) ).
cnf(c_1681,plain,
op2(sP0_iProver_def,sP3_iProver_def) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_627,c_775,c_776,c_778]) ).
cnf(c_1682,plain,
op2(sP0_iProver_def,sP4_iProver_def) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_628,c_775,c_777,c_779]) ).
cnf(c_1683,plain,
op2(sP1_iProver_def,sP0_iProver_def) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_629,c_775,c_776,c_779]) ).
cnf(c_1685,plain,
op2(sP1_iProver_def,sP2_iProver_def) = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_631,c_776,c_777,c_778]) ).
cnf(c_1686,plain,
op2(sP1_iProver_def,sP3_iProver_def) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_632,c_776,c_777,c_778]) ).
cnf(c_1760,plain,
op2(sP1_iProver_def,sP4_iProver_def) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_633,c_775,c_776,c_779]) ).
cnf(c_1761,plain,
op2(sP2_iProver_def,sP0_iProver_def) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_634,c_775,c_776,c_777]) ).
cnf(c_1765,plain,
op2(sP2_iProver_def,sP4_iProver_def) = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_638,c_777,c_778,c_779]) ).
cnf(c_1767,plain,
op2(sP3_iProver_def,sP1_iProver_def) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_640,c_776,c_778,c_779]) ).
cnf(c_1869,plain,
op2(sP4_iProver_def,sP0_iProver_def) = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_644,c_775,c_778,c_779]) ).
cnf(c_1870,plain,
op2(sP4_iProver_def,sP1_iProver_def) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_645,c_776,c_777,c_779]) ).
cnf(c_1871,plain,
op2(sP4_iProver_def,sP2_iProver_def) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_646,c_776,c_777,c_779]) ).
cnf(c_1875,plain,
op1(sP5_iProver_def,sP6_iProver_def) = sP8_iProver_def,
inference(light_normalisation,[status(thm)],[c_650,c_780,c_781,c_783]) ).
cnf(c_1885,plain,
op1(sP5_iProver_def,sP8_iProver_def) = sP7_iProver_def,
inference(light_normalisation,[status(thm)],[c_652,c_780,c_782,c_783]) ).
cnf(c_1886,plain,
op1(sP5_iProver_def,sP9_iProver_def) = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_653,c_780,c_781,c_784]) ).
cnf(c_1891,plain,
op1(sP6_iProver_def,sP9_iProver_def) = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_658,c_780,c_781,c_784]) ).
cnf(c_1892,plain,
op1(sP7_iProver_def,sP5_iProver_def) = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_659,c_780,c_781,c_782]) ).
cnf(c_1900,plain,
h(sP15_iProver_def) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_775,c_810]) ).
cnf(c_1901,plain,
op1(sP7_iProver_def,sP6_iProver_def) = sP9_iProver_def,
inference(light_normalisation,[status(thm)],[c_660,c_781,c_782,c_784]) ).
cnf(c_1903,plain,
op1(sP7_iProver_def,sP8_iProver_def) = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_662,c_780,c_782,c_783]) ).
cnf(c_1907,plain,
op1(sP8_iProver_def,sP7_iProver_def) = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_666,c_781,c_782,c_783]) ).
cnf(c_1909,plain,
op1(sP8_iProver_def,sP9_iProver_def) = sP7_iProver_def,
inference(light_normalisation,[status(thm)],[c_668,c_782,c_783,c_784]) ).
cnf(c_1910,plain,
h(sP16_iProver_def) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_776,c_811]) ).
cnf(c_1911,plain,
h(sP17_iProver_def) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_777,c_812]) ).
cnf(c_1912,plain,
h(sP18_iProver_def) = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_778,c_813]) ).
cnf(c_1973,plain,
h(sP19_iProver_def) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_779,c_814]) ).
cnf(c_1974,plain,
( h(sP9_iProver_def) = sP4_iProver_def
| sP9_iProver_def = sP15_iProver_def
| sP9_iProver_def = sP16_iProver_def
| sP9_iProver_def = sP17_iProver_def
| sP9_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_1621,c_1973]) ).
cnf(c_2003,plain,
( sP4_iProver_def = sP14_iProver_def
| sP9_iProver_def = sP15_iProver_def
| sP9_iProver_def = sP16_iProver_def
| sP9_iProver_def = sP17_iProver_def
| sP9_iProver_def = sP18_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1974,c_789]) ).
cnf(c_2013,plain,
op1(sP9_iProver_def,sP5_iProver_def) = sP8_iProver_def,
inference(light_normalisation,[status(thm)],[c_669,c_780,c_783,c_784]) ).
cnf(c_2014,plain,
op1(sP9_iProver_def,sP6_iProver_def) = sP7_iProver_def,
inference(light_normalisation,[status(thm)],[c_670,c_781,c_782,c_784]) ).
cnf(c_2015,plain,
op1(sP9_iProver_def,sP7_iProver_def) = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_671,c_780,c_782,c_784]) ).
cnf(c_2016,plain,
op1(sP9_iProver_def,sP8_iProver_def) = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_672,c_781,c_783,c_784]) ).
cnf(c_2189,plain,
j(sP14_iProver_def) = sP9_iProver_def,
inference(light_normalisation,[status(thm)],[c_784,c_809]) ).
cnf(c_2193,plain,
( j(sP1_iProver_def) = sP9_iProver_def
| sP1_iProver_def = sP10_iProver_def
| sP1_iProver_def = sP11_iProver_def
| sP1_iProver_def = sP12_iProver_def
| sP1_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1317,c_2189]) ).
cnf(c_2194,plain,
( j(sP0_iProver_def) = sP9_iProver_def
| sP0_iProver_def = sP10_iProver_def
| sP0_iProver_def = sP11_iProver_def
| sP0_iProver_def = sP12_iProver_def
| sP0_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1311,c_2189]) ).
cnf(c_2195,plain,
( sP0_iProver_def = sP10_iProver_def
| sP0_iProver_def = sP11_iProver_def
| sP0_iProver_def = sP12_iProver_def
| sP0_iProver_def = sP13_iProver_def
| sP9_iProver_def = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2194,c_790]) ).
cnf(c_2201,plain,
( sP1_iProver_def = sP10_iProver_def
| sP1_iProver_def = sP11_iProver_def
| sP1_iProver_def = sP12_iProver_def
| sP1_iProver_def = sP13_iProver_def
| sP9_iProver_def = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2193,c_791]) ).
cnf(c_2509,plain,
op1(sP19_iProver_def,sP15_iProver_def) = sP18_iProver_def,
inference(light_normalisation,[status(thm)],[c_98,c_810,c_813,c_814]) ).
cnf(c_2543,plain,
op1(sP18_iProver_def,sP19_iProver_def) = sP16_iProver_def,
inference(light_normalisation,[status(thm)],[c_99,c_811,c_813,c_814]) ).
cnf(c_2680,plain,
op1(sP18_iProver_def,sP17_iProver_def) = sP15_iProver_def,
inference(light_normalisation,[status(thm)],[c_101,c_810,c_812,c_813]) ).
cnf(c_2681,plain,
op1(sP18_iProver_def,sP16_iProver_def) = sP19_iProver_def,
inference(light_normalisation,[status(thm)],[c_102,c_811,c_813,c_814]) ).
cnf(c_2682,plain,
op1(sP18_iProver_def,sP15_iProver_def) = sP17_iProver_def,
inference(light_normalisation,[status(thm)],[c_103,c_810,c_812,c_813]) ).
cnf(c_2735,plain,
op1(sP17_iProver_def,sP15_iProver_def) = sP16_iProver_def,
inference(light_normalisation,[status(thm)],[c_108,c_810,c_811,c_812]) ).
cnf(c_2801,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_2735,c_2682,c_2681,c_2680,c_2543,c_2509,c_2201,c_2195,c_2016,c_2015,c_2014,c_2013,c_2003,c_1973,c_1912,c_1911,c_1910,c_1909,c_1907,c_1903,c_1901,c_1900,c_1892,c_1891,c_1886,c_1885,c_1875,c_1871,c_1870,c_1869,c_1767,c_1765,c_1761,c_1760,c_1686,c_1685,c_1683,c_1682,c_1681,c_1680,c_1553,c_1552,c_1551,c_1547,c_1546,c_1310,c_1309,c_814,c_813,c_812,c_811,c_810,c_809,c_808,c_807,c_806,c_805,c_796,c_794,c_793,c_791,c_790,c_789,c_786,c_785,c_784,c_783,c_781,c_780,c_142,c_141,c_140,c_139,c_138,c_135,c_134,c_132,c_130,c_129,c_128,c_126,c_124,c_123,c_122,c_121,c_120,c_117,c_115,c_113,c_110,c_109,c_65,c_64,c_62,c_60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG185+1 : TPTP v8.1.2. Released v2.7.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 2 22:50:36 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.47/1.15 % SZS status Started for theBenchmark.p
% 2.47/1.15 % SZS status Theorem for theBenchmark.p
% 2.47/1.15
% 2.47/1.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.47/1.15
% 2.47/1.15 ------ iProver source info
% 2.47/1.15
% 2.47/1.15 git: date: 2024-05-02 19:28:25 +0000
% 2.47/1.15 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.47/1.15 git: non_committed_changes: false
% 2.47/1.15
% 2.47/1.15 ------ Parsing...
% 2.47/1.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.47/1.15
% 2.47/1.15 ------ Preprocessing... sup_sim: 50 sf_s rm: 0 0s sf_e pe_s pe_e
% 2.47/1.15
% 2.47/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.47/1.15
% 2.47/1.15 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.47/1.15 ------ Proving...
% 2.47/1.15 ------ Problem Properties
% 2.47/1.15
% 2.47/1.15
% 2.47/1.15 clauses 185
% 2.47/1.15 conjectures 20
% 2.47/1.15 EPR 65
% 2.47/1.15 Horn 175
% 2.47/1.15 unary 175
% 2.47/1.15 binary 0
% 2.47/1.15 lits 225
% 2.47/1.15 lits eq 225
% 2.47/1.15 fd_pure 0
% 2.47/1.15 fd_pseudo 0
% 2.47/1.15 fd_cond 0
% 2.47/1.15 fd_pseudo_cond 0
% 2.47/1.15 AC symbols 0
% 2.47/1.15
% 2.47/1.15 ------ Schedule dynamic 5 is on
% 2.47/1.15
% 2.47/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.47/1.15
% 2.47/1.15
% 2.47/1.15 ------
% 2.47/1.15 Current options:
% 2.47/1.15 ------
% 2.47/1.15
% 2.47/1.15
% 2.47/1.15
% 2.47/1.15
% 2.47/1.15 ------ Proving...
% 2.47/1.15
% 2.47/1.15
% 2.47/1.15 % SZS status Theorem for theBenchmark.p
% 2.47/1.15
% 2.47/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.47/1.15
% 2.47/1.15
%------------------------------------------------------------------------------