TSTP Solution File: GRP396+1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP396+1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n027.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 : Thu May 9 17:23:45 EDT 2024
% Result : Satisfiable 0.19s 0.52s
% Output : Saturation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(associativity,axiom,
! [G,X,Y,Z] :
( ( group_member(X,G)
& group_member(Y,G)
& group_member(Z,G) )
=> multiply(G,multiply(G,X,Y),Z) = multiply(G,X,multiply(G,Y,Z)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP007+0.ax',associativity) ).
fof(c2,plain,
! [G,X,Y,Z] :
( ~ group_member(X,G)
| ~ group_member(Y,G)
| ~ group_member(Z,G)
| multiply(G,multiply(G,X,Y),Z) = multiply(G,X,multiply(G,Y,Z)) ),
inference(fof_nnf,[status(thm)],[associativity]) ).
fof(c3,plain,
! [X2,X3,X4,X5] :
( ~ group_member(X3,X2)
| ~ group_member(X4,X2)
| ~ group_member(X5,X2)
| multiply(X2,multiply(X2,X3,X4),X5) = multiply(X2,X3,multiply(X2,X4,X5)) ),
inference(variable_rename,[status(thm)],[c2]) ).
cnf(c4,plain,
( ~ group_member(X40,X38)
| ~ group_member(X39,X38)
| ~ group_member(X41,X38)
| multiply(X38,multiply(X38,X40,X39),X41) = multiply(X38,X40,multiply(X38,X39,X41)) ),
inference(split_conjunct,[status(thm)],[c3]) ).
cnf(c18,plain,
( ~ group_member(X84,X85)
| ~ group_member(X83,X85)
| multiply(X85,multiply(X85,X84,X83),X83) = multiply(X85,X84,multiply(X85,X83,X83)) ),
inference(factor,[status(thm)],[c4]) ).
cnf(c17,plain,
( ~ group_member(X71,X73)
| ~ group_member(X72,X73)
| multiply(X73,multiply(X73,X71,X72),X71) = multiply(X73,X71,multiply(X73,X72,X71)) ),
inference(factor,[status(thm)],[c4]) ).
cnf(c27,plain,
( ~ group_member(X81,X82)
| multiply(X82,multiply(X82,X81,X81),X81) = multiply(X82,X81,multiply(X82,X81,X81)) ),
inference(factor,[status(thm)],[c17]) ).
cnf(reflexivity,axiom,
X9 = X9,
theory(equality) ).
cnf(c0,axiom,
( X17 != X22
| X19 != X21
| X18 != X20
| multiply(X17,X19,X18) = multiply(X22,X21,X20) ),
theory(equality) ).
cnf(c13,plain,
( X55 != X54
| X57 != X58
| multiply(X55,X57,X56) = multiply(X54,X58,X56) ),
inference(resolution,[status(thm)],[c0,reflexivity]) ).
cnf(c24,plain,
( X76 != X74
| multiply(X76,X75,X77) = multiply(X74,X75,X77) ),
inference(resolution,[status(thm)],[c13,reflexivity]) ).
cnf(c23,plain,
( X66 != X68
| multiply(X66,X66,X67) = multiply(X68,X68,X67) ),
inference(factor,[status(thm)],[c13]) ).
cnf(c12,plain,
( X53 != X51
| X50 != X52
| multiply(X53,X50,X50) = multiply(X51,X52,X52) ),
inference(factor,[status(thm)],[c0]) ).
cnf(c11,plain,
( X34 != X36
| X37 != X35
| multiply(X34,X37,X34) = multiply(X36,X35,X36) ),
inference(factor,[status(thm)],[c0]) ).
cnf(c16,plain,
( X45 != X46
| multiply(X45,X47,X45) = multiply(X46,X47,X46) ),
inference(resolution,[status(thm)],[c11,reflexivity]) ).
cnf(c15,plain,
( X42 != X43
| multiply(X42,X42,X42) = multiply(X43,X43,X43) ),
inference(factor,[status(thm)],[c11]) ).
fof(total_function,axiom,
! [G,X,Y] :
( ( group_member(X,G)
& group_member(Y,G) )
=> group_member(multiply(G,X,Y),G) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP007+0.ax',total_function) ).
fof(c5,plain,
! [G,X,Y] :
( ~ group_member(X,G)
| ~ group_member(Y,G)
| group_member(multiply(G,X,Y),G) ),
inference(fof_nnf,[status(thm)],[total_function]) ).
fof(c6,plain,
! [X6,X7,X8] :
( ~ group_member(X7,X6)
| ~ group_member(X8,X6)
| group_member(multiply(X6,X7,X8),X6) ),
inference(variable_rename,[status(thm)],[c5]) ).
cnf(c7,plain,
( ~ group_member(X31,X29)
| ~ group_member(X30,X29)
| group_member(multiply(X29,X31,X30),X29) ),
inference(split_conjunct,[status(thm)],[c6]) ).
cnf(c14,plain,
( ~ group_member(X33,X32)
| group_member(multiply(X32,X33,X33),X32) ),
inference(factor,[status(thm)],[c7]) ).
cnf(c1,axiom,
( X28 != X27
| X25 != X26
| ~ group_member(X28,X25)
| group_member(X27,X26) ),
theory(equality) ).
cnf(transitivity,axiom,
( X15 != X13
| X13 != X14
| X15 = X14 ),
theory(equality) ).
cnf(symmetry,axiom,
( X11 != X10
| X10 = X11 ),
theory(equality) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP396+1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n027.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 9 03:57:08 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.52 % Version: 1.5
% 0.19/0.52 % SZS status Satisfiable
% 0.19/0.52 % SZS output start Saturation
% See solution above
% 0.19/0.52
% 0.19/0.52 % Initial clauses : 7
% 0.19/0.52 % Processed clauses : 19
% 0.19/0.52 % Factors computed : 11
% 0.19/0.52 % Resolvents computed: 11
% 0.19/0.52 % Tautologies deleted: 2
% 0.19/0.52 % Forward subsumed : 8
% 0.19/0.52 % Backward subsumed : 1
% 0.19/0.52 % -------- CPU Time ---------
% 0.19/0.52 % User time : 0.171 s
% 0.19/0.52 % System time : 0.012 s
% 0.19/0.52 % Total time : 0.183 s
%------------------------------------------------------------------------------