TSTP Solution File: ALG181+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG181+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 02:04:07 EDT 2024
% Result : Theorem 2.42s 1.16s
% Output : CNFRefutation 2.42s
% 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/sandbox/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/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f4,axiom,
( e11 = op1(e14,e14)
& e13 = op1(e14,e13)
& e14 = op1(e14,e12)
& e10 = op1(e14,e11)
& e12 = op1(e14,e10)
& e12 = op1(e13,e14)
& e10 = op1(e13,e13)
& e13 = op1(e13,e12)
& e11 = op1(e13,e11)
& e14 = op1(e13,e10)
& e10 = op1(e12,e14)
& e14 = op1(e12,e13)
& e12 = op1(e12,e12)
& e13 = op1(e12,e11)
& e11 = op1(e12,e10)
& e13 = op1(e11,e14)
& e12 = op1(e11,e13)
& e11 = op1(e11,e12)
& e14 = op1(e11,e11)
& e10 = op1(e11,e10)
& e14 = op1(e10,e14)
& e11 = op1(e10,e13)
& e10 = op1(e10,e12)
& e12 = op1(e10,e11)
& e13 = op1(e10,e10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( e24 = op2(e24,e24)
& e20 = op2(e24,e23)
& e21 = op2(e24,e22)
& e22 = op2(e24,e21)
& e23 = op2(e24,e20)
& e21 = op2(e23,e24)
& e23 = op2(e23,e23)
& e20 = op2(e23,e22)
& e24 = op2(e23,e21)
& e22 = op2(e23,e20)
& e23 = op2(e22,e24)
& e24 = op2(e22,e23)
& e22 = op2(e22,e22)
& e20 = op2(e22,e21)
& e21 = op2(e22,e20)
& e20 = op2(e21,e24)
& e22 = op2(e21,e23)
& e23 = op2(e21,e22)
& e21 = op2(e21,e21)
& e24 = op2(e21,e20)
& e22 = op2(e20,e24)
& e21 = op2(e20,e23)
& e24 = op2(e20,e22)
& e23 = op2(e20,e21)
& e20 = op2(e20,e20) ),
file('/export/starexec/sandbox/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/sandbox/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(f12,plain,
e10 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f16,plain,
e11 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f23,plain,
e20 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f55,plain,
e13 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f61,plain,
e14 = op1(e11,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f73,plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f79,plain,
e11 = op1(e14,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f80,plain,
e20 = op2(e20,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f104,plain,
e24 = op2(e24,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f110,plain,
( e14 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) ),
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(f140,plain,
j(op2(e20,e20)) = op1(j(e20),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f164,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f165,plain,
e20 = h(j(e20)),
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_52,plain,
e14 != e11,
inference(cnf_transformation,[],[f16]) ).
cnf(c_56,plain,
e13 != e10,
inference(cnf_transformation,[],[f12]) ).
cnf(c_65,plain,
e24 != e20,
inference(cnf_transformation,[],[f23]) ).
cnf(c_94,plain,
op1(e14,e14) = e11,
inference(cnf_transformation,[],[f79]) ).
cnf(c_100,plain,
op1(e13,e13) = e10,
inference(cnf_transformation,[],[f73]) ).
cnf(c_112,plain,
op1(e11,e11) = e14,
inference(cnf_transformation,[],[f61]) ).
cnf(c_118,plain,
op1(e10,e10) = e13,
inference(cnf_transformation,[],[f55]) ).
cnf(c_119,plain,
op2(e24,e24) = e24,
inference(cnf_transformation,[],[f104]) ).
cnf(c_143,plain,
op2(e20,e20) = e20,
inference(cnf_transformation,[],[f80]) ).
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_153,negated_conjecture,
h(j(e20)) = e20,
inference(cnf_transformation,[],[f165]) ).
cnf(c_154,negated_conjecture,
op1(j(e24),j(e24)) = j(op2(e24,e24)),
inference(cnf_transformation,[],[f164]) ).
cnf(c_178,negated_conjecture,
op1(j(e20),j(e20)) = j(op2(e20,e20)),
inference(cnf_transformation,[],[f140]) ).
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_208,negated_conjecture,
( j(e20) = e13
| j(e20) = e14
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(cnf_transformation,[],[f110]) ).
cnf(c_649,plain,
op1(j(e20),j(e20)) = j(e20),
inference(light_normalisation,[status(thm)],[c_178,c_143]) ).
cnf(c_673,plain,
op1(j(e24),j(e24)) = j(e24),
inference(light_normalisation,[status(thm)],[c_154,c_119]) ).
cnf(c_777,plain,
h(e12) = sP2_iProver_def,
definition ).
cnf(c_780,plain,
j(e20) = sP5_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_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_800,negated_conjecture,
( sP5_iProver_def = e13
| sP5_iProver_def = e14
| sP5_iProver_def = e12
| sP5_iProver_def = e11
| sP5_iProver_def = e10 ),
inference(demodulation,[status(thm)],[c_208,c_780]) ).
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_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_1308,plain,
sP16_iProver_def != sP19_iProver_def,
inference(light_normalisation,[status(thm)],[c_52,c_811,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_1874,plain,
op1(sP5_iProver_def,sP5_iProver_def) = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_649,c_780]) ).
cnf(c_1911,plain,
h(sP17_iProver_def) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_777,c_812]) ).
cnf(c_2017,plain,
op1(sP9_iProver_def,sP9_iProver_def) = sP9_iProver_def,
inference(light_normalisation,[status(thm)],[c_673,c_784]) ).
cnf(c_2405,plain,
op1(sP19_iProver_def,sP19_iProver_def) = sP16_iProver_def,
inference(light_normalisation,[status(thm)],[c_94,c_811,c_814]) ).
cnf(c_2446,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(sP16_iProver_def,sP16_iProver_def) = sP19_iProver_def,
inference(light_normalisation,[status(thm)],[c_112,c_811,c_814]) ).
cnf(c_3074,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_2719,c_2446,c_2405,c_2017,c_1911,c_1874,c_1551,c_1308,c_814,c_813,c_812,c_811,c_810,c_809,c_805,c_804,c_800,c_789,c_785,c_118,c_65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ALG181+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 22:48:11 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.42/1.16 % SZS status Started for theBenchmark.p
% 2.42/1.16 % SZS status Theorem for theBenchmark.p
% 2.42/1.16
% 2.42/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.42/1.16
% 2.42/1.16 ------ iProver source info
% 2.42/1.16
% 2.42/1.16 git: date: 2024-05-02 19:28:25 +0000
% 2.42/1.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.42/1.16 git: non_committed_changes: false
% 2.42/1.16
% 2.42/1.16 ------ Parsing...
% 2.42/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.42/1.16
% 2.42/1.16 ------ Preprocessing... sup_sim: 50 sf_s rm: 0 0s sf_e pe_s pe_e
% 2.42/1.16
% 2.42/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.42/1.16
% 2.42/1.16 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.42/1.16 ------ Proving...
% 2.42/1.16 ------ Problem Properties
% 2.42/1.16
% 2.42/1.16
% 2.42/1.16 clauses 185
% 2.42/1.16 conjectures 20
% 2.42/1.16 EPR 65
% 2.42/1.16 Horn 175
% 2.42/1.16 unary 175
% 2.42/1.16 binary 0
% 2.42/1.16 lits 225
% 2.42/1.16 lits eq 225
% 2.42/1.16 fd_pure 0
% 2.42/1.16 fd_pseudo 0
% 2.42/1.16 fd_cond 0
% 2.42/1.16 fd_pseudo_cond 0
% 2.42/1.16 AC symbols 0
% 2.42/1.16
% 2.42/1.16 ------ Schedule dynamic 5 is on
% 2.42/1.16
% 2.42/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.42/1.16
% 2.42/1.16
% 2.42/1.16 ------
% 2.42/1.16 Current options:
% 2.42/1.16 ------
% 2.42/1.16
% 2.42/1.16
% 2.42/1.16
% 2.42/1.16
% 2.42/1.16 ------ Proving...
% 2.42/1.16
% 2.42/1.16
% 2.42/1.16 % SZS status Theorem for theBenchmark.p
% 2.42/1.16
% 2.42/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.42/1.16
% 2.42/1.16
%------------------------------------------------------------------------------