TSTP Solution File: ALG014+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG014+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 02:03:12 EDT 2024
% Result : Theorem 0.93s 1.13s
% Output : CNFRefutation 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 65 ( 6 unt; 0 def)
% Number of atoms : 305 ( 241 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 356 ( 116 ~; 143 |; 97 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
( ( e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit )
& e3 = op(e3,unit)
& e3 = op(unit,e3)
& e2 = op(e2,unit)
& e2 = op(unit,e2)
& e1 = op(e1,unit)
& e1 = op(unit,e1)
& e0 = op(e0,unit)
& e0 = op(unit,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f5,axiom,
e0 = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f12,conjecture,
( ~ ( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ) )
| ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f13,negated_conjecture,
~ ( ~ ( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ) )
| ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f15,plain,
( ( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ) )
& ( e3 != op(e3,e3)
| e3 != op(e2,e2)
| e3 != op(e1,e1)
| op(e0,e0) != e3 )
& ( e2 != op(e3,e3)
| e2 != op(e2,e2)
| e2 != op(e1,e1)
| op(e0,e0) != e2 )
& ( e1 != op(e3,e3)
| e1 != op(e2,e2)
| e1 != op(e1,e1)
| op(e0,e0) != e1 )
& ( e0 != op(e3,e3)
| e0 != op(e2,e2)
| e0 != op(e1,e1)
| e0 != op(e0,e0) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f16,plain,
( ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f17,plain,
( ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f18,plain,
( ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f19,plain,
( ( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| sP2
| sP1
| sP0 )
& ( e3 != op(e3,e3)
| e3 != op(e2,e2)
| e3 != op(e1,e1)
| op(e0,e0) != e3 )
& ( e2 != op(e3,e3)
| e2 != op(e2,e2)
| e2 != op(e1,e1)
| op(e0,e0) != e2 )
& ( e1 != op(e3,e3)
| e1 != op(e2,e2)
| e1 != op(e1,e1)
| op(e0,e0) != e1 )
& ( e0 != op(e3,e3)
| e0 != op(e2,e2)
| e0 != op(e1,e1)
| e0 != op(e0,e0) ) ),
inference(definition_folding,[],[f15,f18,f17,f16]) ).
fof(f20,plain,
( ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ~ sP2 ),
inference(nnf_transformation,[],[f18]) ).
fof(f21,plain,
( ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ~ sP1 ),
inference(nnf_transformation,[],[f17]) ).
fof(f22,plain,
( ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) )
| ~ sP0 ),
inference(nnf_transformation,[],[f16]) ).
fof(f103,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f124,plain,
e0 = unit,
inference(cnf_transformation,[],[f5]) ).
fof(f206,plain,
( op(e0,e0) = e2
| ~ sP2 ),
inference(cnf_transformation,[],[f20]) ).
fof(f207,plain,
( e2 = op(e1,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f20]) ).
fof(f208,plain,
( e2 = op(e2,e2)
| ~ sP2 ),
inference(cnf_transformation,[],[f20]) ).
fof(f209,plain,
( e2 = op(e3,e3)
| ~ sP2 ),
inference(cnf_transformation,[],[f20]) ).
fof(f210,plain,
( op(e0,e0) = e1
| ~ sP1 ),
inference(cnf_transformation,[],[f21]) ).
fof(f211,plain,
( e1 = op(e1,e1)
| ~ sP1 ),
inference(cnf_transformation,[],[f21]) ).
fof(f212,plain,
( e1 = op(e2,e2)
| ~ sP1 ),
inference(cnf_transformation,[],[f21]) ).
fof(f213,plain,
( e1 = op(e3,e3)
| ~ sP1 ),
inference(cnf_transformation,[],[f21]) ).
fof(f215,plain,
( e0 = op(e1,e1)
| ~ sP0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f216,plain,
( e0 = op(e2,e2)
| ~ sP0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f217,plain,
( e0 = op(e3,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f218,plain,
( e0 != op(e3,e3)
| e0 != op(e2,e2)
| e0 != op(e1,e1)
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f219,plain,
( e1 != op(e3,e3)
| e1 != op(e2,e2)
| e1 != op(e1,e1)
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f19]) ).
fof(f220,plain,
( e2 != op(e3,e3)
| e2 != op(e2,e2)
| e2 != op(e1,e1)
| op(e0,e0) != e2 ),
inference(cnf_transformation,[],[f19]) ).
fof(f221,plain,
( e3 != op(e3,e3)
| e3 != op(e2,e2)
| e3 != op(e1,e1)
| op(e0,e0) != e3 ),
inference(cnf_transformation,[],[f19]) ).
fof(f222,plain,
( op(e0,e0) = e3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f19]) ).
fof(f223,plain,
( e3 = op(e1,e1)
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f19]) ).
fof(f224,plain,
( e3 = op(e2,e2)
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f19]) ).
fof(f225,plain,
( e3 = op(e3,e3)
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f19]) ).
fof(f281,plain,
unit = op(unit,unit),
inference(definition_unfolding,[],[f103,f124,f124]) ).
fof(f332,plain,
( e2 = op(unit,unit)
| ~ sP2 ),
inference(definition_unfolding,[],[f206,f124,f124]) ).
fof(f333,plain,
( e1 = op(unit,unit)
| ~ sP1 ),
inference(definition_unfolding,[],[f210,f124,f124]) ).
fof(f334,plain,
( op(e3,e3) = unit
| ~ sP0 ),
inference(definition_unfolding,[],[f217,f124]) ).
fof(f335,plain,
( op(e2,e2) = unit
| ~ sP0 ),
inference(definition_unfolding,[],[f216,f124]) ).
fof(f336,plain,
( op(e1,e1) = unit
| ~ sP0 ),
inference(definition_unfolding,[],[f215,f124]) ).
fof(f338,plain,
( e3 = op(unit,unit)
| sP2
| sP1
| sP0 ),
inference(definition_unfolding,[],[f222,f124,f124]) ).
fof(f339,plain,
( e3 != op(e3,e3)
| e3 != op(e2,e2)
| e3 != op(e1,e1)
| e3 != op(unit,unit) ),
inference(definition_unfolding,[],[f221,f124,f124]) ).
fof(f340,plain,
( e2 != op(e3,e3)
| e2 != op(e2,e2)
| e2 != op(e1,e1)
| e2 != op(unit,unit) ),
inference(definition_unfolding,[],[f220,f124,f124]) ).
fof(f341,plain,
( e1 != op(e3,e3)
| e1 != op(e2,e2)
| e1 != op(e1,e1)
| e1 != op(unit,unit) ),
inference(definition_unfolding,[],[f219,f124,f124]) ).
fof(f342,plain,
( op(e3,e3) != unit
| op(e2,e2) != unit
| op(e1,e1) != unit
| unit != op(unit,unit) ),
inference(definition_unfolding,[],[f218,f124,f124,f124,f124,f124,f124]) ).
cnf(c_136,plain,
op(unit,unit) = unit,
inference(cnf_transformation,[],[f281]) ).
cnf(c_226,plain,
( ~ sP2
| op(e3,e3) = e2 ),
inference(cnf_transformation,[],[f209]) ).
cnf(c_227,plain,
( ~ sP2
| op(e2,e2) = e2 ),
inference(cnf_transformation,[],[f208]) ).
cnf(c_228,plain,
( ~ sP2
| op(e1,e1) = e2 ),
inference(cnf_transformation,[],[f207]) ).
cnf(c_229,plain,
( ~ sP2
| op(unit,unit) = e2 ),
inference(cnf_transformation,[],[f332]) ).
cnf(c_230,plain,
( ~ sP1
| op(e3,e3) = e1 ),
inference(cnf_transformation,[],[f213]) ).
cnf(c_231,plain,
( ~ sP1
| op(e2,e2) = e1 ),
inference(cnf_transformation,[],[f212]) ).
cnf(c_232,plain,
( ~ sP1
| op(e1,e1) = e1 ),
inference(cnf_transformation,[],[f211]) ).
cnf(c_233,plain,
( ~ sP1
| op(unit,unit) = e1 ),
inference(cnf_transformation,[],[f333]) ).
cnf(c_234,plain,
( ~ sP0
| op(e3,e3) = unit ),
inference(cnf_transformation,[],[f334]) ).
cnf(c_235,plain,
( ~ sP0
| op(e2,e2) = unit ),
inference(cnf_transformation,[],[f335]) ).
cnf(c_236,plain,
( ~ sP0
| op(e1,e1) = unit ),
inference(cnf_transformation,[],[f336]) ).
cnf(c_238,negated_conjecture,
( op(e3,e3) = e3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f225]) ).
cnf(c_239,negated_conjecture,
( op(e2,e2) = e3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f224]) ).
cnf(c_240,negated_conjecture,
( op(e1,e1) = e3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f223]) ).
cnf(c_241,negated_conjecture,
( op(unit,unit) = e3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f338]) ).
cnf(c_242,negated_conjecture,
( op(e3,e3) != e3
| op(e2,e2) != e3
| op(e1,e1) != e3
| op(unit,unit) != e3 ),
inference(cnf_transformation,[],[f339]) ).
cnf(c_243,negated_conjecture,
( op(e3,e3) != e2
| op(e2,e2) != e2
| op(e1,e1) != e2
| op(unit,unit) != e2 ),
inference(cnf_transformation,[],[f340]) ).
cnf(c_244,negated_conjecture,
( op(e3,e3) != e1
| op(e2,e2) != e1
| op(e1,e1) != e1
| op(unit,unit) != e1 ),
inference(cnf_transformation,[],[f341]) ).
cnf(c_245,negated_conjecture,
( op(e3,e3) != unit
| op(e2,e2) != unit
| op(e1,e1) != unit
| op(unit,unit) != unit ),
inference(cnf_transformation,[],[f342]) ).
cnf(c_246,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_242,c_243,c_244,c_245,c_238,c_239,c_240,c_241,c_226,c_227,c_228,c_229,c_230,c_231,c_232,c_233,c_234,c_235,c_236,c_136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ALG014+1 : TPTP v8.1.2. Released v2.7.0.
% 0.06/0.11 % Command : run_iprover %s %d THM
% 0.12/0.32 % Computer : n029.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu May 2 23:03:52 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 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
% 0.93/1.13 % SZS status Started for theBenchmark.p
% 0.93/1.13 % SZS status Theorem for theBenchmark.p
% 0.93/1.13
% 0.93/1.13 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.93/1.13
% 0.93/1.13 ------ iProver source info
% 0.93/1.13
% 0.93/1.13 git: date: 2024-05-02 19:28:25 +0000
% 0.93/1.13 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.93/1.13 git: non_committed_changes: false
% 0.93/1.13
% 0.93/1.13 ------ Parsing...
% 0.93/1.13 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.93/1.13
% 0.93/1.13 ------ Preprocessing...
% 0.93/1.13
% 0.93/1.13 % SZS status Theorem for theBenchmark.p
% 0.93/1.13
% 0.93/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.93/1.13
% 0.93/1.13
%------------------------------------------------------------------------------