TSTP Solution File: ALG086+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG086+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 02:03:37 EDT 2024
% Result : Theorem 2.56s 1.21s
% Output : CNFRefutation 2.56s
% 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,
( e10 = op1(e14,e14)
& e12 = op1(e14,e13)
& e11 = op1(e14,e12)
& e13 = op1(e14,e11)
& e14 = op1(e14,e10)
& e11 = op1(e13,e14)
& e10 = op1(e13,e13)
& e14 = op1(e13,e12)
& e12 = op1(e13,e11)
& e13 = op1(e13,e10)
& e13 = op1(e12,e14)
& e11 = op1(e12,e13)
& e10 = op1(e12,e12)
& e14 = op1(e12,e11)
& e12 = op1(e12,e10)
& e12 = op1(e11,e14)
& e14 = op1(e11,e13)
& e13 = op1(e11,e12)
& e10 = op1(e11,e11)
& e11 = op1(e11,e10)
& e14 = op1(e10,e14)
& e13 = op1(e10,e13)
& e12 = op1(e10,e12)
& e11 = op1(e10,e11)
& e10 = op1(e10,e10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( e20 = op2(e24,e24)
& e22 = op2(e24,e23)
& e21 = op2(e24,e22)
& e23 = op2(e24,e21)
& e24 = op2(e24,e20)
& e21 = op2(e23,e24)
& e24 = op2(e23,e23)
& e20 = op2(e23,e22)
& e22 = op2(e23,e21)
& e23 = op2(e23,e20)
& e23 = op2(e22,e24)
& e21 = op2(e22,e23)
& e24 = op2(e22,e22)
& e20 = op2(e22,e21)
& e22 = op2(e22,e20)
& e22 = op2(e21,e24)
& e20 = op2(e21,e23)
& e23 = op2(e21,e22)
& e24 = op2(e21,e21)
& e21 = op2(e21,e20)
& e24 = op2(e20,e24)
& e23 = op2(e20,e23)
& e22 = op2(e20,e22)
& e21 = 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(f23,plain,
e20 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f55,plain,
e10 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f61,plain,
e10 = op1(e11,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f67,plain,
e10 = op1(e12,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f73,plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f79,plain,
e10 = op1(e14,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f84,plain,
e24 = op2(e20,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f86,plain,
e24 = op2(e21,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f92,plain,
e24 = op2(e22,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f93,plain,
e21 = op2(e22,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f94,plain,
e23 = op2(e22,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f95,plain,
e23 = op2(e23,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f97,plain,
e20 = op2(e23,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f98,plain,
e24 = op2(e23,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f102,plain,
e21 = op2(e24,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f103,plain,
e22 = op2(e24,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f104,plain,
e20 = op2(e24,e24),
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(f112,plain,
( e14 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) ),
inference(cnf_transformation,[],[f9]) ).
fof(f115,plain,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f121,plain,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f144,plain,
j(op2(e20,e24)) = op1(j(e20),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f152,plain,
j(op2(e22,e22)) = op1(j(e22),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f153,plain,
j(op2(e22,e23)) = op1(j(e22),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f154,plain,
j(op2(e22,e24)) = op1(j(e22),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f155,plain,
j(op2(e23,e20)) = op1(j(e23),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f157,plain,
j(op2(e23,e22)) = op1(j(e23),j(e22)),
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(f164,plain,
j(op2(e24,e24)) = op1(j(e24),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_58,plain,
e11 != e10,
inference(cnf_transformation,[],[f10]) ).
cnf(c_65,plain,
e24 != e20,
inference(cnf_transformation,[],[f23]) ).
cnf(c_94,plain,
op1(e14,e14) = e10,
inference(cnf_transformation,[],[f79]) ).
cnf(c_100,plain,
op1(e13,e13) = e10,
inference(cnf_transformation,[],[f73]) ).
cnf(c_106,plain,
op1(e12,e12) = e10,
inference(cnf_transformation,[],[f67]) ).
cnf(c_112,plain,
op1(e11,e11) = e10,
inference(cnf_transformation,[],[f61]) ).
cnf(c_118,plain,
op1(e10,e10) = e10,
inference(cnf_transformation,[],[f55]) ).
cnf(c_119,plain,
op2(e24,e24) = e20,
inference(cnf_transformation,[],[f104]) ).
cnf(c_120,plain,
op2(e24,e23) = e22,
inference(cnf_transformation,[],[f103]) ).
cnf(c_121,plain,
op2(e24,e22) = e21,
inference(cnf_transformation,[],[f102]) ).
cnf(c_125,plain,
op2(e23,e23) = e24,
inference(cnf_transformation,[],[f98]) ).
cnf(c_126,plain,
op2(e23,e22) = e20,
inference(cnf_transformation,[],[f97]) ).
cnf(c_128,plain,
op2(e23,e20) = e23,
inference(cnf_transformation,[],[f95]) ).
cnf(c_129,plain,
op2(e22,e24) = e23,
inference(cnf_transformation,[],[f94]) ).
cnf(c_130,plain,
op2(e22,e23) = e21,
inference(cnf_transformation,[],[f93]) ).
cnf(c_131,plain,
op2(e22,e22) = e24,
inference(cnf_transformation,[],[f92]) ).
cnf(c_137,plain,
op2(e21,e21) = e24,
inference(cnf_transformation,[],[f86]) ).
cnf(c_139,plain,
op2(e20,e24) = e24,
inference(cnf_transformation,[],[f84]) ).
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_154,negated_conjecture,
op1(j(e24),j(e24)) = j(op2(e24,e24)),
inference(cnf_transformation,[],[f164]) ).
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_161,negated_conjecture,
op1(j(e23),j(e22)) = j(op2(e23,e22)),
inference(cnf_transformation,[],[f157]) ).
cnf(c_163,negated_conjecture,
op1(j(e23),j(e20)) = j(op2(e23,e20)),
inference(cnf_transformation,[],[f155]) ).
cnf(c_164,negated_conjecture,
op1(j(e22),j(e24)) = j(op2(e22,e24)),
inference(cnf_transformation,[],[f154]) ).
cnf(c_165,negated_conjecture,
op1(j(e22),j(e23)) = j(op2(e22,e23)),
inference(cnf_transformation,[],[f153]) ).
cnf(c_166,negated_conjecture,
op1(j(e22),j(e22)) = j(op2(e22,e22)),
inference(cnf_transformation,[],[f152]) ).
cnf(c_174,negated_conjecture,
op1(j(e20),j(e24)) = j(op2(e20,e24)),
inference(cnf_transformation,[],[f144]) ).
cnf(c_197,negated_conjecture,
op2(h(e11),h(e11)) = h(op1(e11,e11)),
inference(cnf_transformation,[],[f121]) ).
cnf(c_203,negated_conjecture,
op2(h(e10),h(e10)) = h(op1(e10,e10)),
inference(cnf_transformation,[],[f115]) ).
cnf(c_206,negated_conjecture,
( j(e22) = e13
| j(e22) = e14
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 ),
inference(cnf_transformation,[],[f112]) ).
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_624,plain,
op2(h(e10),h(e10)) = h(e10),
inference(light_normalisation,[status(thm)],[c_203,c_118]) ).
cnf(c_630,plain,
op2(h(e11),h(e11)) = h(e10),
inference(light_normalisation,[status(thm)],[c_197,c_112]) ).
cnf(c_653,plain,
op1(j(e20),j(e24)) = j(e24),
inference(light_normalisation,[status(thm)],[c_174,c_139]) ).
cnf(c_661,plain,
op1(j(e22),j(e22)) = j(e24),
inference(light_normalisation,[status(thm)],[c_166,c_131]) ).
cnf(c_662,plain,
op1(j(e22),j(e23)) = j(e21),
inference(light_normalisation,[status(thm)],[c_165,c_130]) ).
cnf(c_663,plain,
op1(j(e22),j(e24)) = j(e23),
inference(light_normalisation,[status(thm)],[c_164,c_129]) ).
cnf(c_664,plain,
op1(j(e23),j(e20)) = j(e23),
inference(light_normalisation,[status(thm)],[c_163,c_128]) ).
cnf(c_666,plain,
op1(j(e23),j(e22)) = j(e20),
inference(light_normalisation,[status(thm)],[c_161,c_126]) ).
cnf(c_671,plain,
op1(j(e24),j(e22)) = j(e21),
inference(light_normalisation,[status(thm)],[c_156,c_121]) ).
cnf(c_672,plain,
op1(j(e24),j(e23)) = j(e22),
inference(light_normalisation,[status(thm)],[c_155,c_120]) ).
cnf(c_673,plain,
op1(j(e24),j(e24)) = j(e20),
inference(light_normalisation,[status(thm)],[c_154,c_119]) ).
cnf(c_775,plain,
h(e10) = sP0_iProver_def,
definition ).
cnf(c_776,plain,
h(e11) = sP1_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_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_802,negated_conjecture,
( sP7_iProver_def = e13
| sP7_iProver_def = e14
| sP7_iProver_def = e12
| sP7_iProver_def = e11
| sP7_iProver_def = e10 ),
inference(demodulation,[status(thm)],[c_206,c_782]) ).
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_1304,plain,
op2(sP0_iProver_def,sP0_iProver_def) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_624,c_775]) ).
cnf(c_1510,plain,
( sP7_iProver_def = sP15_iProver_def
| sP7_iProver_def = sP16_iProver_def
| sP7_iProver_def = sP17_iProver_def
| sP7_iProver_def = sP18_iProver_def
| sP7_iProver_def = sP19_iProver_def ),
inference(light_normalisation,[status(thm)],[c_802,c_810,c_811,c_812,c_813,c_814]) ).
cnf(c_1553,plain,
sP15_iProver_def != sP16_iProver_def,
inference(light_normalisation,[status(thm)],[c_58,c_810,c_811]) ).
cnf(c_1684,plain,
op2(sP1_iProver_def,sP1_iProver_def) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_630,c_775,c_776]) ).
cnf(c_1886,plain,
op1(sP5_iProver_def,sP9_iProver_def) = sP9_iProver_def,
inference(light_normalisation,[status(thm)],[c_653,c_780,c_784]) ).
cnf(c_1902,plain,
op1(sP7_iProver_def,sP7_iProver_def) = sP9_iProver_def,
inference(light_normalisation,[status(thm)],[c_661,c_782,c_784]) ).
cnf(c_1903,plain,
op1(sP7_iProver_def,sP8_iProver_def) = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_662,c_781,c_782,c_783]) ).
cnf(c_1904,plain,
op1(sP7_iProver_def,sP9_iProver_def) = sP8_iProver_def,
inference(light_normalisation,[status(thm)],[c_663,c_782,c_783,c_784]) ).
cnf(c_1905,plain,
op1(sP8_iProver_def,sP5_iProver_def) = sP8_iProver_def,
inference(light_normalisation,[status(thm)],[c_664,c_780,c_783]) ).
cnf(c_1907,plain,
op1(sP8_iProver_def,sP7_iProver_def) = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_666,c_780,c_782,c_783]) ).
cnf(c_2015,plain,
op1(sP9_iProver_def,sP7_iProver_def) = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_671,c_781,c_782,c_784]) ).
cnf(c_2016,plain,
op1(sP9_iProver_def,sP8_iProver_def) = sP7_iProver_def,
inference(light_normalisation,[status(thm)],[c_672,c_782,c_783,c_784]) ).
cnf(c_2017,plain,
op1(sP9_iProver_def,sP9_iProver_def) = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_673,c_780,c_784]) ).
cnf(c_2405,plain,
op1(sP19_iProver_def,sP19_iProver_def) = sP15_iProver_def,
inference(light_normalisation,[status(thm)],[c_94,c_810,c_814]) ).
cnf(c_2413,plain,
( op1(sP7_iProver_def,sP7_iProver_def) = sP15_iProver_def
| sP7_iProver_def = sP15_iProver_def
| sP7_iProver_def = sP16_iProver_def
| sP7_iProver_def = sP17_iProver_def
| sP7_iProver_def = sP18_iProver_def ),
inference(superposition,[status(thm)],[c_1510,c_2405]) ).
cnf(c_2427,plain,
( sP7_iProver_def = sP15_iProver_def
| sP7_iProver_def = sP16_iProver_def
| sP7_iProver_def = sP17_iProver_def
| sP7_iProver_def = sP18_iProver_def
| sP9_iProver_def = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2413,c_1902]) ).
cnf(c_2580,plain,
op1(sP18_iProver_def,sP18_iProver_def) = sP15_iProver_def,
inference(light_normalisation,[status(thm)],[c_100,c_810,c_813]) ).
cnf(c_2719,plain,
op1(sP17_iProver_def,sP17_iProver_def) = sP15_iProver_def,
inference(light_normalisation,[status(thm)],[c_106,c_810,c_812]) ).
cnf(c_2800,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_2719,c_2580,c_2427,c_2017,c_2016,c_2015,c_1907,c_1905,c_1904,c_1903,c_1902,c_1886,c_1684,c_1553,c_1304,c_813,c_810,c_796,c_795,c_791,c_790,c_784,c_780,c_137,c_131,c_125,c_119,c_65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG086+1 : TPTP v8.1.2. Released v2.7.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 23:08:03 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.47 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
% 2.56/1.21 % SZS status Started for theBenchmark.p
% 2.56/1.21 % SZS status Theorem for theBenchmark.p
% 2.56/1.21
% 2.56/1.21 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.56/1.21
% 2.56/1.21 ------ iProver source info
% 2.56/1.21
% 2.56/1.21 git: date: 2024-05-02 19:28:25 +0000
% 2.56/1.21 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.56/1.21 git: non_committed_changes: false
% 2.56/1.21
% 2.56/1.21 ------ Parsing...
% 2.56/1.21 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.56/1.21
% 2.56/1.21 ------ Preprocessing... sup_sim: 50 sf_s rm: 0 0s sf_e pe_s pe_e
% 2.56/1.21
% 2.56/1.21 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.56/1.21
% 2.56/1.21 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.56/1.21 ------ Proving...
% 2.56/1.21 ------ Problem Properties
% 2.56/1.21
% 2.56/1.21
% 2.56/1.21 clauses 185
% 2.56/1.21 conjectures 20
% 2.56/1.21 EPR 65
% 2.56/1.21 Horn 175
% 2.56/1.21 unary 175
% 2.56/1.21 binary 0
% 2.56/1.21 lits 225
% 2.56/1.21 lits eq 225
% 2.56/1.21 fd_pure 0
% 2.56/1.21 fd_pseudo 0
% 2.56/1.21 fd_cond 0
% 2.56/1.21 fd_pseudo_cond 0
% 2.56/1.21 AC symbols 0
% 2.56/1.21
% 2.56/1.21 ------ Schedule dynamic 5 is on
% 2.56/1.21
% 2.56/1.21 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.56/1.21
% 2.56/1.21
% 2.56/1.21 ------
% 2.56/1.21 Current options:
% 2.56/1.21 ------
% 2.56/1.21
% 2.56/1.21
% 2.56/1.21
% 2.56/1.21
% 2.56/1.21 ------ Proving...
% 2.56/1.21
% 2.56/1.21
% 2.56/1.21 % SZS status Theorem for theBenchmark.p
% 2.56/1.21
% 2.56/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.56/1.21
% 2.56/1.21
%------------------------------------------------------------------------------