TSTP Solution File: COM021+4 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : COM021+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.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 02:10:29 EDT 2024
% Result : Theorem 0.46s 1.16s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 9 unt; 0 def)
% Number of atoms : 141 ( 17 equ)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 132 ( 16 ~; 35 |; 78 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 19 ( 1 sgn 4 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23,axiom,
( aNormalFormOfIn0(xd,xw,xR)
& ~ ? [X0] : aReductOfIn0(X0,xd,xR)
& sdtmndtasgtdt0(xw,xR,xd)
& ( ( sdtmndtplgtdt0(xw,xR,xd)
& ( ? [X0] :
( sdtmndtplgtdt0(X0,xR,xd)
& aReductOfIn0(X0,xw,xR)
& aElement0(X0) )
| aReductOfIn0(xd,xw,xR) ) )
| xw = xd )
& aElement0(xd) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__818) ).
fof(f24,axiom,
( sdtmndtasgtdt0(xd,xR,xx)
& ( ( sdtmndtplgtdt0(xd,xR,xx)
& ( ? [X0] :
( sdtmndtplgtdt0(X0,xR,xx)
& aReductOfIn0(X0,xd,xR)
& aElement0(X0) )
| aReductOfIn0(xx,xd,xR) ) )
| xd = xx )
& sdtmndtasgtdt0(xb,xR,xx)
& ( ( sdtmndtplgtdt0(xb,xR,xx)
& ( ? [X0] :
( sdtmndtplgtdt0(X0,xR,xx)
& aReductOfIn0(X0,xb,xR)
& aElement0(X0) )
| aReductOfIn0(xx,xb,xR) ) )
| xb = xx )
& aElement0(xx) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__850) ).
fof(f25,conjecture,
( sdtmndtasgtdt0(xb,xR,xd)
| sdtmndtplgtdt0(xb,xR,xd)
| ? [X0] :
( sdtmndtplgtdt0(X0,xR,xd)
& aReductOfIn0(X0,xb,xR)
& aElement0(X0) )
| aReductOfIn0(xd,xb,xR)
| xb = xd ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f26,negated_conjecture,
~ ( sdtmndtasgtdt0(xb,xR,xd)
| sdtmndtplgtdt0(xb,xR,xd)
| ? [X0] :
( sdtmndtplgtdt0(X0,xR,xd)
& aReductOfIn0(X0,xb,xR)
& aElement0(X0) )
| aReductOfIn0(xd,xb,xR)
| xb = xd ),
inference(negated_conjecture,[],[f25]) ).
fof(f35,plain,
( aNormalFormOfIn0(xd,xw,xR)
& ~ ? [X0] : aReductOfIn0(X0,xd,xR)
& sdtmndtasgtdt0(xw,xR,xd)
& ( ( sdtmndtplgtdt0(xw,xR,xd)
& ( ? [X1] :
( sdtmndtplgtdt0(X1,xR,xd)
& aReductOfIn0(X1,xw,xR)
& aElement0(X1) )
| aReductOfIn0(xd,xw,xR) ) )
| xw = xd )
& aElement0(xd) ),
inference(rectify,[],[f23]) ).
fof(f36,plain,
( sdtmndtasgtdt0(xd,xR,xx)
& ( ( sdtmndtplgtdt0(xd,xR,xx)
& ( ? [X0] :
( sdtmndtplgtdt0(X0,xR,xx)
& aReductOfIn0(X0,xd,xR)
& aElement0(X0) )
| aReductOfIn0(xx,xd,xR) ) )
| xd = xx )
& sdtmndtasgtdt0(xb,xR,xx)
& ( ( sdtmndtplgtdt0(xb,xR,xx)
& ( ? [X1] :
( sdtmndtplgtdt0(X1,xR,xx)
& aReductOfIn0(X1,xb,xR)
& aElement0(X1) )
| aReductOfIn0(xx,xb,xR) ) )
| xb = xx )
& aElement0(xx) ),
inference(rectify,[],[f24]) ).
fof(f61,plain,
( aNormalFormOfIn0(xd,xw,xR)
& ! [X0] : ~ aReductOfIn0(X0,xd,xR)
& sdtmndtasgtdt0(xw,xR,xd)
& ( ( sdtmndtplgtdt0(xw,xR,xd)
& ( ? [X1] :
( sdtmndtplgtdt0(X1,xR,xd)
& aReductOfIn0(X1,xw,xR)
& aElement0(X1) )
| aReductOfIn0(xd,xw,xR) ) )
| xw = xd )
& aElement0(xd) ),
inference(ennf_transformation,[],[f35]) ).
fof(f62,plain,
( ~ sdtmndtasgtdt0(xb,xR,xd)
& ~ sdtmndtplgtdt0(xb,xR,xd)
& ! [X0] :
( ~ sdtmndtplgtdt0(X0,xR,xd)
| ~ aReductOfIn0(X0,xb,xR)
| ~ aElement0(X0) )
& ~ aReductOfIn0(xd,xb,xR)
& xb != xd ),
inference(ennf_transformation,[],[f26]) ).
fof(f133,plain,
( ? [X1] :
( sdtmndtplgtdt0(X1,xR,xd)
& aReductOfIn0(X1,xw,xR)
& aElement0(X1) )
=> ( sdtmndtplgtdt0(sK33,xR,xd)
& aReductOfIn0(sK33,xw,xR)
& aElement0(sK33) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
( aNormalFormOfIn0(xd,xw,xR)
& ! [X0] : ~ aReductOfIn0(X0,xd,xR)
& sdtmndtasgtdt0(xw,xR,xd)
& ( ( sdtmndtplgtdt0(xw,xR,xd)
& ( ( sdtmndtplgtdt0(sK33,xR,xd)
& aReductOfIn0(sK33,xw,xR)
& aElement0(sK33) )
| aReductOfIn0(xd,xw,xR) ) )
| xw = xd )
& aElement0(xd) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK33])],[f61,f133]) ).
fof(f135,plain,
( ? [X0] :
( sdtmndtplgtdt0(X0,xR,xx)
& aReductOfIn0(X0,xd,xR)
& aElement0(X0) )
=> ( sdtmndtplgtdt0(sK34,xR,xx)
& aReductOfIn0(sK34,xd,xR)
& aElement0(sK34) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
( ? [X1] :
( sdtmndtplgtdt0(X1,xR,xx)
& aReductOfIn0(X1,xb,xR)
& aElement0(X1) )
=> ( sdtmndtplgtdt0(sK35,xR,xx)
& aReductOfIn0(sK35,xb,xR)
& aElement0(sK35) ) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
( sdtmndtasgtdt0(xd,xR,xx)
& ( ( sdtmndtplgtdt0(xd,xR,xx)
& ( ( sdtmndtplgtdt0(sK34,xR,xx)
& aReductOfIn0(sK34,xd,xR)
& aElement0(sK34) )
| aReductOfIn0(xx,xd,xR) ) )
| xd = xx )
& sdtmndtasgtdt0(xb,xR,xx)
& ( ( sdtmndtplgtdt0(xb,xR,xx)
& ( ( sdtmndtplgtdt0(sK35,xR,xx)
& aReductOfIn0(sK35,xb,xR)
& aElement0(sK35) )
| aReductOfIn0(xx,xb,xR) ) )
| xb = xx )
& aElement0(xx) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34,sK35])],[f36,f136,f135]) ).
fof(f265,plain,
! [X0] : ~ aReductOfIn0(X0,xd,xR),
inference(cnf_transformation,[],[f134]) ).
fof(f272,plain,
sdtmndtasgtdt0(xb,xR,xx),
inference(cnf_transformation,[],[f137]) ).
fof(f274,plain,
( aReductOfIn0(sK34,xd,xR)
| aReductOfIn0(xx,xd,xR)
| xd = xx ),
inference(cnf_transformation,[],[f137]) ).
fof(f282,plain,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(cnf_transformation,[],[f62]) ).
cnf(c_171,plain,
~ aReductOfIn0(X0,xd,xR),
inference(cnf_transformation,[],[f265]) ).
cnf(c_181,plain,
( xd = xx
| aReductOfIn0(xx,xd,xR)
| aReductOfIn0(sK34,xd,xR) ),
inference(cnf_transformation,[],[f274]) ).
cnf(c_183,plain,
sdtmndtasgtdt0(xb,xR,xx),
inference(cnf_transformation,[],[f272]) ).
cnf(c_189,negated_conjecture,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(cnf_transformation,[],[f282]) ).
cnf(c_313,plain,
( xd = xx
| aReductOfIn0(sK34,xd,xR) ),
inference(backward_subsumption_resolution,[status(thm)],[c_181,c_171]) ).
cnf(c_436,plain,
xd = xx,
inference(forward_subsumption_resolution,[status(thm)],[c_313,c_171]) ).
cnf(c_1209,plain,
sdtmndtasgtdt0(xb,xR,xd),
inference(light_normalisation,[status(thm)],[c_183,c_436]) ).
cnf(c_1211,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_189,c_1209]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : COM021+4 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n008.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 : Fri May 3 00:41:43 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 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
% 0.46/1.16 % SZS status Started for theBenchmark.p
% 0.46/1.16 % SZS status Theorem for theBenchmark.p
% 0.46/1.16
% 0.46/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.46/1.16
% 0.46/1.16 ------ iProver source info
% 0.46/1.16
% 0.46/1.16 git: date: 2024-05-02 19:28:25 +0000
% 0.46/1.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.46/1.16 git: non_committed_changes: false
% 0.46/1.16
% 0.46/1.16 ------ Parsing...
% 0.46/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.46/1.16
% 0.46/1.16 ------ Preprocessing...
% 0.46/1.16
% 0.46/1.16 % SZS status Theorem for theBenchmark.p
% 0.46/1.16
% 0.46/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.46/1.16
% 0.46/1.16
%------------------------------------------------------------------------------