TSTP Solution File: ALG020+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG020+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 02:03:14 EDT 2024
% Result : Theorem 2.47s 1.11s
% Output : CNFRefutation 2.47s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f4,axiom,
( e10 = op1(e13,e13)
& e11 = op1(e13,e12)
& e12 = op1(e13,e11)
& e13 = op1(e13,e10)
& e11 = op1(e12,e13)
& e10 = op1(e12,e12)
& e13 = op1(e12,e11)
& e12 = op1(e12,e10)
& e12 = op1(e11,e13)
& e13 = op1(e11,e12)
& e10 = op1(e11,e11)
& e11 = op1(e11,e10)
& 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(e23,e23)
& e21 = op2(e23,e22)
& e22 = op2(e23,e21)
& e23 = op2(e23,e20)
& e21 = op2(e22,e23)
& e23 = op2(e22,e22)
& e20 = op2(e22,e21)
& e22 = op2(e22,e20)
& e22 = op2(e21,e23)
& e20 = op2(e21,e22)
& e23 = op2(e21,e21)
& e21 = op2(e21,e20)
& 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,
( ( ( e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) )
& ( e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) )
& ( e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) )
& ( e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) )
& ( e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) )
& ( e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) )
& ( e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) )
& ( e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ) )
=> ~ ( e13 = j(h(e13))
& e12 = j(h(e12))
& e11 = j(h(e11))
& e10 = j(h(e10))
& e23 = h(j(e23))
& e22 = h(j(e22))
& e21 = h(j(e21))
& e20 = h(j(e20))
& 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,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,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,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(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,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,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,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,
~ ( ( ( e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) )
& ( e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) )
& ( e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) )
& ( e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) )
& ( e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) )
& ( e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) )
& ( e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) )
& ( e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ) )
=> ~ ( e13 = j(h(e13))
& e12 = j(h(e12))
& e11 = j(h(e11))
& e10 = j(h(e10))
& e23 = h(j(e23))
& e22 = h(j(e22))
& e21 = h(j(e21))
& e20 = h(j(e20))
& 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,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,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,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(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,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,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,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,
( e13 = j(h(e13))
& e12 = j(h(e12))
& e11 = j(h(e11))
& e10 = j(h(e10))
& e23 = h(j(e23))
& e22 = h(j(e22))
& e21 = h(j(e21))
& e20 = h(j(e20))
& 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,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,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,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(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,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,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,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))
& ( e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) )
& ( e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) )
& ( e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) )
& ( e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) )
& ( e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) )
& ( e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) )
& ( e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) )
& ( e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,plain,
( e13 = j(h(e13))
& e12 = j(h(e12))
& e11 = j(h(e11))
& e10 = j(h(e10))
& e23 = h(j(e23))
& e22 = h(j(e22))
& e21 = h(j(e21))
& e20 = h(j(e20))
& 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,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,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,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(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,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,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,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))
& ( e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) )
& ( e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) )
& ( e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) )
& ( e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) )
& ( e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) )
& ( e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) )
& ( e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) )
& ( 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(f18,plain,
e20 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f43,plain,
e10 = op1(e11,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f48,plain,
e10 = op1(e12,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f51,plain,
e12 = op1(e13,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f53,plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f54,plain,
e20 = op2(e20,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f59,plain,
e23 = op2(e21,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f64,plain,
e23 = op2(e22,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f68,plain,
e21 = op2(e23,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f73,plain,
( e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) ),
inference(cnf_transformation,[],[f9]) ).
fof(f74,plain,
( e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) ),
inference(cnf_transformation,[],[f9]) ).
fof(f76,plain,
( e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) ),
inference(cnf_transformation,[],[f9]) ).
fof(f93,plain,
h(op1(e13,e13)) = op2(h(e13),h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f94,plain,
j(op2(e20,e20)) = op1(j(e20),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f99,plain,
j(op2(e21,e21)) = op1(j(e21),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f104,plain,
j(op2(e22,e22)) = op1(j(e22),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f108,plain,
j(op2(e23,e22)) = op1(j(e23),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f110,plain,
e20 = h(j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f111,plain,
e21 = h(j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f112,plain,
e22 = h(j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f113,plain,
e23 = h(j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f114,plain,
e10 = j(h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f115,plain,
e11 = j(h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f116,plain,
e12 = j(h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f117,plain,
e13 = j(h(e13)),
inference(cnf_transformation,[],[f9]) ).
cnf(c_52,plain,
e13 != e10,
inference(cnf_transformation,[],[f12]) ).
cnf(c_58,plain,
e23 != e20,
inference(cnf_transformation,[],[f18]) ).
cnf(c_77,plain,
op1(e13,e13) = e10,
inference(cnf_transformation,[],[f53]) ).
cnf(c_79,plain,
op1(e13,e11) = e12,
inference(cnf_transformation,[],[f51]) ).
cnf(c_82,plain,
op1(e12,e12) = e10,
inference(cnf_transformation,[],[f48]) ).
cnf(c_87,plain,
op1(e11,e11) = e10,
inference(cnf_transformation,[],[f43]) ).
cnf(c_94,plain,
op2(e23,e22) = e21,
inference(cnf_transformation,[],[f68]) ).
cnf(c_98,plain,
op2(e22,e22) = e23,
inference(cnf_transformation,[],[f64]) ).
cnf(c_103,plain,
op2(e21,e21) = e23,
inference(cnf_transformation,[],[f59]) ).
cnf(c_108,plain,
op2(e20,e20) = e20,
inference(cnf_transformation,[],[f54]) ).
cnf(c_109,negated_conjecture,
j(h(e13)) = e13,
inference(cnf_transformation,[],[f117]) ).
cnf(c_110,negated_conjecture,
j(h(e12)) = e12,
inference(cnf_transformation,[],[f116]) ).
cnf(c_111,negated_conjecture,
j(h(e11)) = e11,
inference(cnf_transformation,[],[f115]) ).
cnf(c_112,negated_conjecture,
j(h(e10)) = e10,
inference(cnf_transformation,[],[f114]) ).
cnf(c_113,negated_conjecture,
h(j(e23)) = e23,
inference(cnf_transformation,[],[f113]) ).
cnf(c_114,negated_conjecture,
h(j(e22)) = e22,
inference(cnf_transformation,[],[f112]) ).
cnf(c_115,negated_conjecture,
h(j(e21)) = e21,
inference(cnf_transformation,[],[f111]) ).
cnf(c_116,negated_conjecture,
h(j(e20)) = e20,
inference(cnf_transformation,[],[f110]) ).
cnf(c_118,negated_conjecture,
op1(j(e23),j(e22)) = j(op2(e23,e22)),
inference(cnf_transformation,[],[f108]) ).
cnf(c_122,negated_conjecture,
op1(j(e22),j(e22)) = j(op2(e22,e22)),
inference(cnf_transformation,[],[f104]) ).
cnf(c_127,negated_conjecture,
op1(j(e21),j(e21)) = j(op2(e21,e21)),
inference(cnf_transformation,[],[f99]) ).
cnf(c_132,negated_conjecture,
op1(j(e20),j(e20)) = j(op2(e20,e20)),
inference(cnf_transformation,[],[f94]) ).
cnf(c_133,negated_conjecture,
op2(h(e13),h(e13)) = h(op1(e13,e13)),
inference(cnf_transformation,[],[f93]) ).
cnf(c_150,negated_conjecture,
( j(e22) = e12
| j(e22) = e13
| j(e22) = e11
| j(e22) = e10 ),
inference(cnf_transformation,[],[f76]) ).
cnf(c_152,negated_conjecture,
( j(e20) = e12
| j(e20) = e13
| j(e20) = e11
| j(e20) = e10 ),
inference(cnf_transformation,[],[f74]) ).
cnf(c_153,negated_conjecture,
( h(e13) = e22
| h(e13) = e23
| h(e13) = e21
| h(e13) = e20 ),
inference(cnf_transformation,[],[f73]) ).
cnf(c_436,plain,
op2(h(e13),h(e13)) = h(e10),
inference(light_normalisation,[status(thm)],[c_133,c_77]) ).
cnf(c_437,plain,
op1(j(e20),j(e20)) = j(e20),
inference(light_normalisation,[status(thm)],[c_132,c_108]) ).
cnf(c_442,plain,
op1(j(e21),j(e21)) = j(e23),
inference(light_normalisation,[status(thm)],[c_127,c_103]) ).
cnf(c_447,plain,
op1(j(e22),j(e22)) = j(e23),
inference(light_normalisation,[status(thm)],[c_122,c_98]) ).
cnf(c_451,plain,
op1(j(e23),j(e22)) = j(e21),
inference(light_normalisation,[status(thm)],[c_118,c_94]) ).
cnf(c_519,plain,
h(e10) = sP0_iProver_def,
definition ).
cnf(c_522,plain,
h(e13) = sP3_iProver_def,
definition ).
cnf(c_523,plain,
j(e20) = sP4_iProver_def,
definition ).
cnf(c_524,plain,
j(e21) = sP5_iProver_def,
definition ).
cnf(c_525,plain,
j(e22) = sP6_iProver_def,
definition ).
cnf(c_526,plain,
j(e23) = sP7_iProver_def,
definition ).
cnf(c_527,plain,
h(sP4_iProver_def) = sP8_iProver_def,
definition ).
cnf(c_528,plain,
h(sP5_iProver_def) = sP9_iProver_def,
definition ).
cnf(c_529,plain,
h(sP6_iProver_def) = sP10_iProver_def,
definition ).
cnf(c_530,plain,
h(sP7_iProver_def) = sP11_iProver_def,
definition ).
cnf(c_531,plain,
j(sP0_iProver_def) = sP12_iProver_def,
definition ).
cnf(c_532,plain,
j(sP1_iProver_def) = sP13_iProver_def,
definition ).
cnf(c_533,plain,
j(sP2_iProver_def) = sP14_iProver_def,
definition ).
cnf(c_534,plain,
j(sP3_iProver_def) = sP15_iProver_def,
definition ).
cnf(c_538,negated_conjecture,
( sP3_iProver_def = e22
| sP3_iProver_def = e23
| sP3_iProver_def = e21
| sP3_iProver_def = e20 ),
inference(demodulation,[status(thm)],[c_153,c_522]) ).
cnf(c_539,negated_conjecture,
( sP4_iProver_def = e12
| sP4_iProver_def = e13
| sP4_iProver_def = e11
| sP4_iProver_def = e10 ),
inference(demodulation,[status(thm)],[c_152,c_523]) ).
cnf(c_541,negated_conjecture,
( sP6_iProver_def = e12
| sP6_iProver_def = e13
| sP6_iProver_def = e11
| sP6_iProver_def = e10 ),
inference(demodulation,[status(thm)],[c_150,c_525]) ).
cnf(c_543,negated_conjecture,
sP8_iProver_def = e20,
inference(demodulation,[status(thm)],[c_116,c_527]) ).
cnf(c_544,negated_conjecture,
sP9_iProver_def = e21,
inference(demodulation,[status(thm)],[c_115,c_528]) ).
cnf(c_545,negated_conjecture,
sP10_iProver_def = e22,
inference(demodulation,[status(thm)],[c_114,c_529]) ).
cnf(c_546,negated_conjecture,
sP11_iProver_def = e23,
inference(demodulation,[status(thm)],[c_113,c_530]) ).
cnf(c_547,negated_conjecture,
sP12_iProver_def = e10,
inference(demodulation,[status(thm)],[c_112,c_531]) ).
cnf(c_548,negated_conjecture,
sP13_iProver_def = e11,
inference(demodulation,[status(thm)],[c_111,c_532]) ).
cnf(c_549,negated_conjecture,
sP14_iProver_def = e12,
inference(demodulation,[status(thm)],[c_110,c_533]) ).
cnf(c_550,negated_conjecture,
sP15_iProver_def = e13,
inference(demodulation,[status(thm)],[c_109,c_534]) ).
cnf(c_890,plain,
sP12_iProver_def != sP15_iProver_def,
inference(light_normalisation,[status(thm)],[c_52,c_547,c_550]) ).
cnf(c_989,plain,
( sP4_iProver_def = sP12_iProver_def
| sP4_iProver_def = sP13_iProver_def
| sP4_iProver_def = sP14_iProver_def
| sP4_iProver_def = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_539,c_547,c_548,c_549,c_550]) ).
cnf(c_1022,plain,
( sP6_iProver_def = sP12_iProver_def
| sP6_iProver_def = sP13_iProver_def
| sP6_iProver_def = sP14_iProver_def
| sP6_iProver_def = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_541,c_547,c_548,c_549,c_550]) ).
cnf(c_1093,plain,
sP8_iProver_def != sP11_iProver_def,
inference(light_normalisation,[status(thm)],[c_58,c_543,c_546]) ).
cnf(c_1205,plain,
op2(sP3_iProver_def,sP3_iProver_def) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_436,c_519,c_522]) ).
cnf(c_1206,plain,
op1(sP4_iProver_def,sP4_iProver_def) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_437,c_523]) ).
cnf(c_1214,plain,
h(sP12_iProver_def) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_519,c_547]) ).
cnf(c_1217,plain,
h(sP15_iProver_def) = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_522,c_550]) ).
cnf(c_1243,plain,
op1(sP5_iProver_def,sP5_iProver_def) = sP7_iProver_def,
inference(light_normalisation,[status(thm)],[c_442,c_524,c_526]) ).
cnf(c_1248,plain,
op1(sP6_iProver_def,sP6_iProver_def) = sP7_iProver_def,
inference(light_normalisation,[status(thm)],[c_447,c_525,c_526]) ).
cnf(c_1251,plain,
j(sP8_iProver_def) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_523,c_543]) ).
cnf(c_1292,plain,
j(sP11_iProver_def) = sP7_iProver_def,
inference(light_normalisation,[status(thm)],[c_526,c_546]) ).
cnf(c_1318,plain,
op1(sP7_iProver_def,sP6_iProver_def) = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_451,c_524,c_525,c_526]) ).
cnf(c_1474,plain,
op1(sP15_iProver_def,sP15_iProver_def) = sP12_iProver_def,
inference(light_normalisation,[status(thm)],[c_77,c_547,c_550]) ).
cnf(c_1482,plain,
( op1(sP4_iProver_def,sP4_iProver_def) = sP12_iProver_def
| sP4_iProver_def = sP12_iProver_def
| sP4_iProver_def = sP13_iProver_def
| sP4_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_989,c_1474]) ).
cnf(c_1483,plain,
( sP4_iProver_def = sP12_iProver_def
| sP4_iProver_def = sP13_iProver_def
| sP4_iProver_def = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1482,c_1206]) ).
cnf(c_1521,plain,
op1(sP15_iProver_def,sP13_iProver_def) = sP14_iProver_def,
inference(light_normalisation,[status(thm)],[c_79,c_548,c_549,c_550]) ).
cnf(c_1632,plain,
op1(sP14_iProver_def,sP14_iProver_def) = sP12_iProver_def,
inference(light_normalisation,[status(thm)],[c_82,c_547,c_549]) ).
cnf(c_1667,plain,
op1(sP13_iProver_def,sP13_iProver_def) = sP12_iProver_def,
inference(light_normalisation,[status(thm)],[c_87,c_547,c_548]) ).
cnf(c_1997,plain,
op2(sP10_iProver_def,sP10_iProver_def) = sP11_iProver_def,
inference(light_normalisation,[status(thm)],[c_98,c_545,c_546]) ).
cnf(c_2022,plain,
op2(sP9_iProver_def,sP9_iProver_def) = sP11_iProver_def,
inference(light_normalisation,[status(thm)],[c_103,c_544,c_546]) ).
cnf(c_2137,plain,
( op1(sP4_iProver_def,sP4_iProver_def) = sP12_iProver_def
| sP4_iProver_def = sP12_iProver_def
| sP4_iProver_def = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_1483,c_1632]) ).
cnf(c_2170,plain,
( sP4_iProver_def = sP12_iProver_def
| sP4_iProver_def = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2137,c_1206]) ).
cnf(c_2186,plain,
( op1(sP4_iProver_def,sP4_iProver_def) = sP12_iProver_def
| sP4_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_2170,c_1667]) ).
cnf(c_2216,plain,
sP4_iProver_def = sP12_iProver_def,
inference(light_normalisation,[status(thm)],[c_2186,c_1206]) ).
cnf(c_2243,plain,
op1(sP14_iProver_def,sP14_iProver_def) = sP4_iProver_def,
inference(demodulation,[status(thm)],[c_1632,c_2216]) ).
cnf(c_2258,plain,
h(sP4_iProver_def) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_1214,c_2216]) ).
cnf(c_2264,plain,
( sP4_iProver_def = sP6_iProver_def
| sP6_iProver_def = sP13_iProver_def
| sP6_iProver_def = sP14_iProver_def
| sP6_iProver_def = sP15_iProver_def ),
inference(demodulation,[status(thm)],[c_1022,c_2216]) ).
cnf(c_2268,plain,
sP4_iProver_def != sP15_iProver_def,
inference(demodulation,[status(thm)],[c_890,c_2216]) ).
cnf(c_2269,plain,
e10 = sP4_iProver_def,
inference(demodulation,[status(thm)],[c_547,c_2216]) ).
cnf(c_2282,plain,
sP0_iProver_def = sP8_iProver_def,
inference(light_normalisation,[status(thm)],[c_2258,c_527]) ).
cnf(c_2311,plain,
e20 = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_543,c_2282]) ).
cnf(c_2494,plain,
( h(sP6_iProver_def) = sP3_iProver_def
| sP4_iProver_def = sP6_iProver_def
| sP6_iProver_def = sP13_iProver_def
| sP6_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_2264,c_1217]) ).
cnf(c_2500,plain,
( sP3_iProver_def = sP10_iProver_def
| sP4_iProver_def = sP6_iProver_def
| sP6_iProver_def = sP13_iProver_def
| sP6_iProver_def = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2494,c_529]) ).
cnf(c_3367,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_2500,c_2311,c_2282,c_2269,c_2268,c_2243,c_2022,c_1997,c_1521,c_1318,c_1292,c_1251,c_1248,c_1243,c_1206,c_1205,c_1093,c_549,c_546,c_545,c_544,c_538,c_534]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG020+1 : TPTP v8.1.2. Released v2.7.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 2 22:46:41 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 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
% 2.47/1.11 % SZS status Started for theBenchmark.p
% 2.47/1.11 % SZS status Theorem for theBenchmark.p
% 2.47/1.11
% 2.47/1.11 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.47/1.11
% 2.47/1.11 ------ iProver source info
% 2.47/1.11
% 2.47/1.11 git: date: 2024-05-02 19:28:25 +0000
% 2.47/1.11 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.47/1.11 git: non_committed_changes: false
% 2.47/1.11
% 2.47/1.11 ------ Parsing...
% 2.47/1.11 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.47/1.11
% 2.47/1.11 ------ Preprocessing... sup_sim: 32 sf_s rm: 0 0s sf_e pe_s pe_e
% 2.47/1.11
% 2.47/1.11 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.47/1.11
% 2.47/1.11 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.47/1.11 ------ Proving...
% 2.47/1.11 ------ Problem Properties
% 2.47/1.11
% 2.47/1.11
% 2.47/1.11 clauses 124
% 2.47/1.11 conjectures 16
% 2.47/1.11 EPR 44
% 2.47/1.11 Horn 116
% 2.47/1.11 unary 116
% 2.47/1.11 binary 0
% 2.47/1.11 lits 148
% 2.47/1.11 lits eq 148
% 2.47/1.11 fd_pure 0
% 2.47/1.11 fd_pseudo 0
% 2.47/1.11 fd_cond 0
% 2.47/1.11 fd_pseudo_cond 0
% 2.47/1.11 AC symbols 0
% 2.47/1.11
% 2.47/1.11 ------ Schedule dynamic 5 is on
% 2.47/1.11
% 2.47/1.11 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.47/1.11
% 2.47/1.11
% 2.47/1.11 ------
% 2.47/1.11 Current options:
% 2.47/1.11 ------
% 2.47/1.11
% 2.47/1.11
% 2.47/1.11
% 2.47/1.11
% 2.47/1.11 ------ Proving...
% 2.47/1.11
% 2.47/1.11
% 2.47/1.11 % SZS status Theorem for theBenchmark.p
% 2.47/1.11
% 2.47/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.47/1.11
% 2.47/1.11
%------------------------------------------------------------------------------