TSTP Solution File: COM125+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COM125+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 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 : Tue Apr 30 20:14:10 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 7 unt; 0 def)
% Number of atoms : 126 ( 26 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 141 ( 59 ~; 51 |; 20 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-3 aty)
% Number of variables : 109 ( 97 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [VT,VVar0,VExp0,Vx,Vv,Ve] :
( ( VVar0 = Vv
& VExp0 = vabs(Vx,VT,Ve) )
=> ( ( ( Vx != Vv
& visFreeVar(Vv,Ve) )
=> visFreeVar(VVar0,VExp0) )
& ( visFreeVar(VVar0,VExp0)
=> ( Vx != Vv
& visFreeVar(Vv,Ve) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,axiom,
! [Vx,VS,VC,Vy,VS1,VT] :
( ( Vx != Vy
& ~ visFreeVar(Vx,vabs(Vy,VS1,veabs))
& vtcheck(VC,vabs(Vy,VS1,veabs),VT) )
=> vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f59,axiom,
! [Vx,VS,VC,Vy,VS1,VT] :
( ( Vx = Vy
& ~ visFreeVar(Vx,vabs(Vy,VS1,veabs))
& vtcheck(VC,vabs(Vy,VS1,veabs),VT) )
=> vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f60,conjecture,
! [Vx,VS,VC,Vy,VS1,VT] :
( ( ~ visFreeVar(Vx,vabs(Vy,VS1,veabs))
& vtcheck(VC,vabs(Vy,VS1,veabs),VT) )
=> vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f61,negated_conjecture,
~ ! [Vx,VS,VC,Vy,VS1,VT] :
( ( ~ visFreeVar(Vx,vabs(Vy,VS1,veabs))
& vtcheck(VC,vabs(Vy,VS1,veabs),VT) )
=> vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT) ),
inference(negated_conjecture,[status(cth)],[f60]) ).
fof(f92,plain,
! [VT,VVar0,VExp0,Vx,Vv,Ve] :
( VVar0 != Vv
| VExp0 != vabs(Vx,VT,Ve)
| ( ( Vx = Vv
| ~ visFreeVar(Vv,Ve)
| visFreeVar(VVar0,VExp0) )
& ( ~ visFreeVar(VVar0,VExp0)
| ( Vx != Vv
& visFreeVar(Vv,Ve) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f93,plain,
! [VVar0,VExp0,Vx,Vv,Ve] :
( VVar0 != Vv
| ! [VT] : VExp0 != vabs(Vx,VT,Ve)
| ( ( Vx = Vv
| ~ visFreeVar(Vv,Ve)
| visFreeVar(VVar0,VExp0) )
& ( ~ visFreeVar(VVar0,VExp0)
| ( Vx != Vv
& visFreeVar(Vv,Ve) ) ) ) ),
inference(miniscoping,[status(esa)],[f92]) ).
fof(f95,plain,
! [X0,X1,X2,X3,X4,X5] :
( X0 != X1
| X2 != vabs(X3,X4,X5)
| ~ visFreeVar(X0,X2)
| X3 != X1 ),
inference(cnf_transformation,[status(esa)],[f93]) ).
fof(f258,plain,
! [Vx,VS,VC,Vy,VS1,VT] :
( Vx = Vy
| visFreeVar(Vx,vabs(Vy,VS1,veabs))
| ~ vtcheck(VC,vabs(Vy,VS1,veabs),VT)
| vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT) ),
inference(pre_NNF_transformation,[status(esa)],[f58]) ).
fof(f259,plain,
! [Vx,VC,Vy,VS1,VT] :
( Vx = Vy
| visFreeVar(Vx,vabs(Vy,VS1,veabs))
| ~ vtcheck(VC,vabs(Vy,VS1,veabs),VT)
| ! [VS] : vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT) ),
inference(miniscoping,[status(esa)],[f258]) ).
fof(f260,plain,
! [X0,X1,X2,X3,X4,X5] :
( X0 = X1
| visFreeVar(X0,vabs(X1,X2,veabs))
| ~ vtcheck(X3,vabs(X1,X2,veabs),X4)
| vtcheck(vbind(X0,X5,X3),vabs(X1,X2,veabs),X4) ),
inference(cnf_transformation,[status(esa)],[f259]) ).
fof(f261,plain,
! [Vx,VS,VC,Vy,VS1,VT] :
( Vx != Vy
| visFreeVar(Vx,vabs(Vy,VS1,veabs))
| ~ vtcheck(VC,vabs(Vy,VS1,veabs),VT)
| vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT) ),
inference(pre_NNF_transformation,[status(esa)],[f59]) ).
fof(f262,plain,
! [Vx,VC,Vy,VS1,VT] :
( Vx != Vy
| visFreeVar(Vx,vabs(Vy,VS1,veabs))
| ~ vtcheck(VC,vabs(Vy,VS1,veabs),VT)
| ! [VS] : vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT) ),
inference(miniscoping,[status(esa)],[f261]) ).
fof(f263,plain,
! [X0,X1,X2,X3,X4,X5] :
( X0 != X1
| visFreeVar(X0,vabs(X1,X2,veabs))
| ~ vtcheck(X3,vabs(X1,X2,veabs),X4)
| vtcheck(vbind(X0,X5,X3),vabs(X1,X2,veabs),X4) ),
inference(cnf_transformation,[status(esa)],[f262]) ).
fof(f264,plain,
? [Vx,VS,VC,Vy,VS1,VT] :
( ~ visFreeVar(Vx,vabs(Vy,VS1,veabs))
& vtcheck(VC,vabs(Vy,VS1,veabs),VT)
& ~ vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT) ),
inference(pre_NNF_transformation,[status(esa)],[f61]) ).
fof(f265,plain,
? [Vx,VC,Vy,VS1,VT] :
( ~ visFreeVar(Vx,vabs(Vy,VS1,veabs))
& vtcheck(VC,vabs(Vy,VS1,veabs),VT)
& ? [VS] : ~ vtcheck(vbind(Vx,VS,VC),vabs(Vy,VS1,veabs),VT) ),
inference(miniscoping,[status(esa)],[f264]) ).
fof(f266,plain,
( ~ visFreeVar(sk0_21,vabs(sk0_23,sk0_24,veabs))
& vtcheck(sk0_22,vabs(sk0_23,sk0_24,veabs),sk0_25)
& ~ vtcheck(vbind(sk0_21,sk0_26,sk0_22),vabs(sk0_23,sk0_24,veabs),sk0_25) ),
inference(skolemization,[status(esa)],[f265]) ).
fof(f267,plain,
~ visFreeVar(sk0_21,vabs(sk0_23,sk0_24,veabs)),
inference(cnf_transformation,[status(esa)],[f266]) ).
fof(f268,plain,
vtcheck(sk0_22,vabs(sk0_23,sk0_24,veabs),sk0_25),
inference(cnf_transformation,[status(esa)],[f266]) ).
fof(f269,plain,
~ vtcheck(vbind(sk0_21,sk0_26,sk0_22),vabs(sk0_23,sk0_24,veabs),sk0_25),
inference(cnf_transformation,[status(esa)],[f266]) ).
fof(f393,plain,
! [X0,X1,X2] : ~ visFreeVar(X0,vabs(X0,X1,X2)),
inference(destructive_equality_resolution,[status(esa)],[f95]) ).
fof(f437,plain,
! [X0,X1,X2,X3,X4] :
( visFreeVar(X0,vabs(X0,X1,veabs))
| ~ vtcheck(X2,vabs(X0,X1,veabs),X3)
| vtcheck(vbind(X0,X4,X2),vabs(X0,X1,veabs),X3) ),
inference(destructive_equality_resolution,[status(esa)],[f263]) ).
fof(f438,plain,
( spl0_0
<=> sk0_23 = sk0_21 ),
introduced(split_symbol_definition) ).
fof(f439,plain,
( sk0_23 = sk0_21
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f438]) ).
fof(f504,plain,
( ~ vtcheck(vbind(sk0_21,sk0_26,sk0_22),vabs(sk0_21,sk0_24,veabs),sk0_25)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f439,f269]) ).
fof(f505,plain,
( vtcheck(sk0_22,vabs(sk0_21,sk0_24,veabs),sk0_25)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f439,f268]) ).
fof(f549,plain,
( spl0_6
<=> vtcheck(sk0_22,vabs(sk0_21,sk0_24,veabs),sk0_25) ),
introduced(split_symbol_definition) ).
fof(f551,plain,
( ~ vtcheck(sk0_22,vabs(sk0_21,sk0_24,veabs),sk0_25)
| spl0_6 ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f556,plain,
( $false
| ~ spl0_0
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f551,f505]) ).
fof(f557,plain,
( ~ spl0_0
| spl0_6 ),
inference(contradiction_clause,[status(thm)],[f556]) ).
fof(f560,plain,
( spl0_7
<=> visFreeVar(sk0_21,vabs(sk0_23,sk0_24,veabs)) ),
introduced(split_symbol_definition) ).
fof(f561,plain,
( visFreeVar(sk0_21,vabs(sk0_23,sk0_24,veabs))
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f560]) ).
fof(f563,plain,
( spl0_8
<=> vtcheck(sk0_22,vabs(sk0_23,sk0_24,veabs),sk0_25) ),
introduced(split_symbol_definition) ).
fof(f565,plain,
( ~ vtcheck(sk0_22,vabs(sk0_23,sk0_24,veabs),sk0_25)
| spl0_8 ),
inference(component_clause,[status(thm)],[f563]) ).
fof(f566,plain,
( sk0_21 = sk0_23
| visFreeVar(sk0_21,vabs(sk0_23,sk0_24,veabs))
| ~ vtcheck(sk0_22,vabs(sk0_23,sk0_24,veabs),sk0_25) ),
inference(resolution,[status(thm)],[f269,f260]) ).
fof(f567,plain,
( spl0_0
| spl0_7
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f566,f438,f560,f563]) ).
fof(f574,plain,
! [X0,X1,X2,X3,X4] :
( ~ vtcheck(X0,vabs(X1,X2,veabs),X3)
| vtcheck(vbind(X1,X4,X0),vabs(X1,X2,veabs),X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f437,f393]) ).
fof(f622,plain,
( ~ vtcheck(sk0_22,vabs(sk0_21,sk0_24,veabs),sk0_25)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f504,f574]) ).
fof(f623,plain,
( ~ spl0_6
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f622,f549,f438]) ).
fof(f628,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f268,f565]) ).
fof(f629,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f628]) ).
fof(f630,plain,
( $false
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f561,f267]) ).
fof(f631,plain,
~ spl0_7,
inference(contradiction_clause,[status(thm)],[f630]) ).
fof(f632,plain,
$false,
inference(sat_refutation,[status(thm)],[f557,f567,f623,f629,f631]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : COM125+1 : TPTP v8.1.2. Released v6.4.0.
% 0.08/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n029.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 : Tue Apr 30 01:24:05 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.37 % Drodi V3.6.0
% 0.14/0.37 % Refutation found
% 0.14/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.39 % Elapsed time: 0.034203 seconds
% 0.14/0.39 % CPU time: 0.081982 seconds
% 0.14/0.39 % Total memory used: 17.273 MB
% 0.14/0.39 % Net memory used: 17.196 MB
%------------------------------------------------------------------------------