TSTP Solution File: ALG078+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG078+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.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 02:03:35 EDT 2024
% Result : Theorem 2.36s 1.15s
% Output : CNFRefutation 2.36s
% 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,
( e10 = op1(e14,e14)
& e12 = op1(e14,e13)
& e11 = op1(e14,e12)
& e13 = op1(e14,e11)
& e14 = op1(e14,e10)
& e11 = op1(e13,e14)
& e14 = op1(e13,e13)
& e10 = op1(e13,e12)
& e12 = op1(e13,e11)
& e13 = op1(e13,e10)
& e13 = op1(e12,e14)
& e11 = op1(e12,e13)
& e14 = op1(e12,e12)
& e10 = op1(e12,e11)
& e12 = op1(e12,e10)
& e12 = op1(e11,e14)
& e10 = op1(e11,e13)
& e13 = op1(e11,e12)
& e14 = 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/sandbox/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)
& e22 = op2(e23,e24)
& e21 = op2(e23,e23)
& e20 = op2(e23,e22)
& e24 = op2(e23,e21)
& e23 = op2(e23,e20)
& e21 = op2(e22,e24)
& e24 = op2(e22,e23)
& e23 = op2(e22,e22)
& e20 = op2(e22,e21)
& e22 = op2(e22,e20)
& e23 = op2(e21,e24)
& e20 = op2(e21,e23)
& e24 = op2(e21,e22)
& e22 = 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/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(f13,plain,
e10 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f20,plain,
e20 != e21,
inference(cnf_transformation,[],[f2]) ).
fof(f25,plain,
e21 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f55,plain,
e10 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f73,plain,
e14 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f79,plain,
e10 = op1(e14,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f86,plain,
e22 = op2(e21,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f92,plain,
e23 = op2(e22,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f98,plain,
e21 = op2(e23,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(f108,plain,
( e24 = h(e13)
| e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) ),
inference(cnf_transformation,[],[f9]) ).
fof(f115,plain,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f133,plain,
h(op1(e13,e13)) = op2(h(e13),h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f139,plain,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
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(f173,plain,
e13 = j(h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f174,plain,
e14 = j(h(e14)),
inference(cnf_transformation,[],[f9]) ).
cnf(c_55,plain,
e14 != e10,
inference(cnf_transformation,[],[f13]) ).
cnf(c_56,plain,
e13 != e10,
inference(cnf_transformation,[],[f12]) ).
cnf(c_63,plain,
e23 != e21,
inference(cnf_transformation,[],[f25]) ).
cnf(c_68,plain,
e21 != e20,
inference(cnf_transformation,[],[f20]) ).
cnf(c_94,plain,
op1(e14,e14) = e10,
inference(cnf_transformation,[],[f79]) ).
cnf(c_100,plain,
op1(e13,e13) = e14,
inference(cnf_transformation,[],[f73]) ).
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_125,plain,
op2(e23,e23) = e21,
inference(cnf_transformation,[],[f98]) ).
cnf(c_131,plain,
op2(e22,e22) = e23,
inference(cnf_transformation,[],[f92]) ).
cnf(c_137,plain,
op2(e21,e21) = e22,
inference(cnf_transformation,[],[f86]) ).
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_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_179,negated_conjecture,
op2(h(e14),h(e14)) = h(op1(e14,e14)),
inference(cnf_transformation,[],[f139]) ).
cnf(c_185,negated_conjecture,
op2(h(e13),h(e13)) = h(op1(e13,e13)),
inference(cnf_transformation,[],[f133]) ).
cnf(c_203,negated_conjecture,
op2(h(e10),h(e10)) = h(op1(e10,e10)),
inference(cnf_transformation,[],[f115]) ).
cnf(c_210,negated_conjecture,
( h(e13) = e23
| h(e13) = e24
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 ),
inference(cnf_transformation,[],[f108]) ).
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_642,plain,
op2(h(e13),h(e13)) = h(e14),
inference(light_normalisation,[status(thm)],[c_185,c_100]) ).
cnf(c_648,plain,
op2(h(e14),h(e14)) = h(e10),
inference(light_normalisation,[status(thm)],[c_179,c_94]) ).
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_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_784,plain,
j(e24) = sP9_iProver_def,
definition ).
cnf(c_790,plain,
j(sP0_iProver_def) = sP15_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_798,negated_conjecture,
( sP3_iProver_def = e23
| sP3_iProver_def = e24
| sP3_iProver_def = e22
| sP3_iProver_def = e21
| sP3_iProver_def = e20 ),
inference(demodulation,[status(thm)],[c_210,c_778]) ).
cnf(c_810,negated_conjecture,
sP15_iProver_def = e10,
inference(demodulation,[status(thm)],[c_148,c_790]) ).
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_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_1867,plain,
op2(sP3_iProver_def,sP3_iProver_def) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_642,c_778,c_779]) ).
cnf(c_1873,plain,
op2(sP4_iProver_def,sP4_iProver_def) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_648,c_775,c_779]) ).
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_2580,plain,
op1(sP18_iProver_def,sP18_iProver_def) = sP19_iProver_def,
inference(light_normalisation,[status(thm)],[c_100,c_813,c_814]) ).
cnf(c_2800,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_2580,c_2017,c_1873,c_1867,c_1551,c_1547,c_1304,c_798,c_795,c_793,c_790,c_784,c_780,c_137,c_131,c_125,c_119,c_68,c_63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG078+1 : TPTP v8.1.2. Released v2.7.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n010.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 2 22:30:34 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 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
% 2.36/1.15 % SZS status Started for theBenchmark.p
% 2.36/1.15 % SZS status Theorem for theBenchmark.p
% 2.36/1.15
% 2.36/1.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.36/1.15
% 2.36/1.15 ------ iProver source info
% 2.36/1.15
% 2.36/1.15 git: date: 2024-05-02 19:28:25 +0000
% 2.36/1.15 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.36/1.15 git: non_committed_changes: false
% 2.36/1.15
% 2.36/1.15 ------ Parsing...
% 2.36/1.15 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.36/1.15
% 2.36/1.15 ------ Preprocessing... sup_sim: 50 sf_s rm: 0 0s sf_e pe_s pe_e
% 2.36/1.15
% 2.36/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.36/1.15
% 2.36/1.15 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.36/1.15 ------ Proving...
% 2.36/1.15 ------ Problem Properties
% 2.36/1.15
% 2.36/1.15
% 2.36/1.15 clauses 185
% 2.36/1.15 conjectures 20
% 2.36/1.15 EPR 65
% 2.36/1.15 Horn 175
% 2.36/1.15 unary 175
% 2.36/1.15 binary 0
% 2.36/1.15 lits 225
% 2.36/1.15 lits eq 225
% 2.36/1.15 fd_pure 0
% 2.36/1.15 fd_pseudo 0
% 2.36/1.15 fd_cond 0
% 2.36/1.15 fd_pseudo_cond 0
% 2.36/1.15 AC symbols 0
% 2.36/1.15
% 2.36/1.15 ------ Schedule dynamic 5 is on
% 2.36/1.15
% 2.36/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.36/1.15
% 2.36/1.15
% 2.36/1.15 ------
% 2.36/1.15 Current options:
% 2.36/1.15 ------
% 2.36/1.15
% 2.36/1.15
% 2.36/1.15
% 2.36/1.15
% 2.36/1.15 ------ Proving...
% 2.36/1.15
% 2.36/1.15
% 2.36/1.15 % SZS status Theorem for theBenchmark.p
% 2.36/1.15
% 2.36/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.36/1.15
% 2.36/1.15
%------------------------------------------------------------------------------