TSTP Solution File: ALG442-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : ALG442-1 : TPTP v8.1.2. Released v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n006.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 : Wed Aug 30 16:07:47 EDT 2023
% Result : Unsatisfiable 48.53s 48.68s
% Output : CNFRefutation 48.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 22
% Syntax : Number of formulae : 99 ( 53 unt; 6 typ; 0 def)
% Number of atoms : 164 ( 21 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 144 ( 73 ~; 71 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 4 >; 9 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-4 aty)
% Number of variables : 253 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
m: ( $i * $i * $i ) > $i ).
tff(decl_23,type,
u: ( $i * $i * $i ) > $i ).
tff(decl_24,type,
v: ( $i * $i * $i * $i ) > $i ).
tff(decl_25,type,
r: ( $i * $i * $i ) > $o ).
tff(decl_26,type,
a: $i ).
tff(decl_27,type,
b: $i ).
cnf(sos_011,axiom,
( r(u(X1,X4,X7),u(X2,X5,X8),u(X3,X6,X9))
| ~ r(X1,X2,X3)
| ~ r(X4,X5,X6)
| ~ r(X7,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_011) ).
cnf(sos_015,axiom,
r(b,a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_015) ).
cnf(sos_012,axiom,
( r(v(X1,X4,X7,X10),v(X2,X5,X8,X11),v(X3,X6,X9,X12))
| ~ r(X1,X2,X3)
| ~ r(X4,X5,X6)
| ~ r(X7,X8,X9)
| ~ r(X10,X11,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_012) ).
cnf(sos_014,axiom,
r(a,b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_014) ).
cnf(sos_002,axiom,
u(X1,X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_002) ).
cnf(sos_005,axiom,
u(X1,X1,X2) = u(X2,X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_005) ).
cnf(sos_013,axiom,
r(a,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_013) ).
cnf(sos_006,axiom,
v(X1,X1,X1,X2) = v(X1,X1,X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_006) ).
cnf(sos_009,axiom,
u(X1,X1,X2) = v(X1,X1,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_009) ).
cnf(sos_010,axiom,
( r(m(X1,X4,X7),m(X2,X5,X8),m(X3,X6,X9))
| ~ r(X1,X2,X3)
| ~ r(X4,X5,X6)
| ~ r(X7,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_010) ).
cnf(sos_004,axiom,
u(X1,X1,X2) = u(X1,X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_004) ).
cnf(sos_007,axiom,
v(X1,X1,X2,X1) = v(X1,X2,X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_007) ).
cnf(sos_001,axiom,
m(X1,X2,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_001) ).
cnf(sos_008,axiom,
v(X1,X2,X1,X1) = v(X2,X1,X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_008) ).
cnf(sos,axiom,
m(X1,X1,X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).
cnf(goals,negated_conjecture,
~ r(a,a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(c_0_16,axiom,
( r(u(X1,X4,X7),u(X2,X5,X8),u(X3,X6,X9))
| ~ r(X1,X2,X3)
| ~ r(X4,X5,X6)
| ~ r(X7,X8,X9) ),
sos_011 ).
cnf(c_0_17,axiom,
r(b,a,a),
sos_015 ).
cnf(c_0_18,plain,
( r(u(X1,X2,b),u(X3,X4,a),u(X5,X6,a))
| ~ r(X2,X4,X6)
| ~ r(X1,X3,X5) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,axiom,
( r(v(X1,X4,X7,X10),v(X2,X5,X8,X11),v(X3,X6,X9,X12))
| ~ r(X1,X2,X3)
| ~ r(X4,X5,X6)
| ~ r(X7,X8,X9)
| ~ r(X10,X11,X12) ),
sos_012 ).
cnf(c_0_20,plain,
( r(u(X1,b,b),u(X2,a,a),u(X3,a,a))
| ~ r(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_18,c_0_17]) ).
cnf(c_0_21,axiom,
r(a,b,a),
sos_014 ).
cnf(c_0_22,axiom,
u(X1,X1,X1) = X1,
sos_002 ).
cnf(c_0_23,axiom,
u(X1,X1,X2) = u(X2,X1,X1),
sos_005 ).
cnf(c_0_24,plain,
( r(v(X1,X2,X3,b),v(X4,X5,X6,a),v(X7,X8,X9,a))
| ~ r(X3,X6,X9)
| ~ r(X2,X5,X8)
| ~ r(X1,X4,X7) ),
inference(spm,[status(thm)],[c_0_19,c_0_17]) ).
cnf(c_0_25,axiom,
r(a,a,b),
sos_013 ).
cnf(c_0_26,axiom,
v(X1,X1,X1,X2) = v(X1,X1,X2,X1),
sos_006 ).
cnf(c_0_27,axiom,
u(X1,X1,X2) = v(X1,X1,X1,X2),
sos_009 ).
cnf(c_0_28,axiom,
( r(m(X1,X4,X7),m(X2,X5,X8),m(X3,X6,X9))
| ~ r(X1,X2,X3)
| ~ r(X4,X5,X6)
| ~ r(X7,X8,X9) ),
sos_010 ).
cnf(c_0_29,plain,
r(u(a,b,b),u(a,a,b),a),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23]) ).
cnf(c_0_30,plain,
( r(u(X1,a,b),u(X2,b,a),u(X3,a,a))
| ~ r(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_18,c_0_21]) ).
cnf(c_0_31,axiom,
u(X1,X1,X2) = u(X1,X2,X1),
sos_004 ).
cnf(c_0_32,plain,
( r(v(X1,X2,a,b),v(X3,X4,a,a),v(X5,X6,b,a))
| ~ r(X2,X4,X6)
| ~ r(X1,X3,X5) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_33,axiom,
v(X1,X1,X2,X1) = v(X1,X2,X1,X1),
sos_007 ).
cnf(c_0_34,plain,
v(X1,X1,X2,X1) = u(X1,X1,X2),
inference(rw,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_35,plain,
( r(m(X1,X2,u(a,b,b)),m(X3,X4,u(a,a,b)),m(X5,X6,a))
| ~ r(X2,X4,X6)
| ~ r(X1,X3,X5) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_36,plain,
r(u(a,a,b),u(a,a,b),u(a,a,b)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_25]),c_0_23]),c_0_31]) ).
cnf(c_0_37,axiom,
m(X1,X2,X2) = X1,
sos_001 ).
cnf(c_0_38,plain,
( r(v(X1,a,a,b),v(X2,b,a,a),v(X3,a,b,a))
| ~ r(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_32,c_0_21]) ).
cnf(c_0_39,axiom,
v(X1,X2,X1,X1) = v(X2,X1,X1,X1),
sos_008 ).
cnf(c_0_40,plain,
v(X1,X2,X1,X1) = u(X1,X1,X2),
inference(rw,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_41,plain,
( r(v(X1,X2,X3,a),v(X4,X5,X6,b),v(X7,X8,X9,a))
| ~ r(X3,X6,X9)
| ~ r(X2,X5,X8)
| ~ r(X1,X4,X7) ),
inference(spm,[status(thm)],[c_0_19,c_0_21]) ).
cnf(c_0_42,plain,
( r(m(X1,u(a,a,b),u(a,b,b)),X2,m(X3,u(a,a,b),a))
| ~ r(X1,X2,X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).
cnf(c_0_43,plain,
r(u(a,a,b),v(b,b,a,a),u(a,a,b)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_21]),c_0_27]),c_0_34]) ).
cnf(c_0_44,axiom,
m(X1,X1,X2) = X2,
sos ).
cnf(c_0_45,plain,
( r(v(X1,X2,b,b),v(X3,X4,a,a),v(X5,X6,a,a))
| ~ r(X2,X4,X6)
| ~ r(X1,X3,X5) ),
inference(spm,[status(thm)],[c_0_24,c_0_17]) ).
cnf(c_0_46,plain,
v(X1,X2,X2,X2) = u(X2,X2,X1),
inference(rw,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_47,plain,
( r(v(X1,X2,b,a),v(X3,X4,a,b),v(X5,X6,a,a))
| ~ r(X2,X4,X6)
| ~ r(X1,X3,X5) ),
inference(spm,[status(thm)],[c_0_41,c_0_17]) ).
cnf(c_0_48,plain,
r(u(a,b,b),v(b,b,a,a),a),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]),c_0_44]) ).
cnf(c_0_49,plain,
( r(v(X1,a,b,b),v(X2,b,a,a),u(a,a,X3))
| ~ r(X1,X2,X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_21]),c_0_46]) ).
cnf(c_0_50,plain,
( r(v(X1,a,b,a),v(X2,a,a,b),v(X3,b,a,a))
| ~ r(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_47,c_0_25]) ).
cnf(c_0_51,plain,
( r(v(X1,X2,a,b),v(X3,X4,b,a),v(X5,X6,a,a))
| ~ r(X2,X4,X6)
| ~ r(X1,X3,X5) ),
inference(spm,[status(thm)],[c_0_24,c_0_21]) ).
cnf(c_0_52,plain,
( r(X1,m(X2,v(b,b,a,a),u(a,a,b)),X3)
| ~ r(X1,X2,X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_48]),c_0_37]),c_0_37]) ).
cnf(c_0_53,plain,
r(v(a,a,b,b),v(b,b,a,a),a),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_21]),c_0_22]) ).
cnf(c_0_54,plain,
r(u(a,a,b),v(b,a,a,b),u(a,a,b)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_21]),c_0_34]),c_0_40]) ).
cnf(c_0_55,plain,
( r(v(X1,a,a,b),v(X2,b,b,a),u(a,a,X3))
| ~ r(X1,X2,X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_21]),c_0_46]) ).
cnf(c_0_56,plain,
( r(v(X1,X2,X3,a),v(X4,X5,X6,a),v(X7,X8,X9,b))
| ~ r(X3,X6,X9)
| ~ r(X2,X5,X8)
| ~ r(X1,X4,X7) ),
inference(spm,[status(thm)],[c_0_19,c_0_25]) ).
cnf(c_0_57,plain,
r(v(a,a,b,b),u(a,a,b),a),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_44]) ).
cnf(c_0_58,plain,
r(u(a,b,b),a,u(a,a,b)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_25]),c_0_22]),c_0_23]) ).
cnf(c_0_59,plain,
r(u(a,b,b),v(b,a,a,b),a),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_54]),c_0_44]),c_0_44]) ).
cnf(c_0_60,plain,
( r(v(X1,b,b,a),v(X2,a,a,b),u(a,a,X3))
| ~ r(X1,X2,X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_17]),c_0_46]) ).
cnf(c_0_61,plain,
r(u(a,a,b),v(a,b,b,a),u(a,a,b)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_25]),c_0_27]) ).
cnf(c_0_62,plain,
( r(v(X1,X2,a,a),v(X3,X4,b,a),v(X5,X6,a,b))
| ~ r(X2,X4,X6)
| ~ r(X1,X3,X5) ),
inference(spm,[status(thm)],[c_0_56,c_0_21]) ).
cnf(c_0_63,plain,
( r(m(X1,v(a,a,b,b),u(a,b,b)),X2,X3)
| ~ r(X1,X2,X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_57]),c_0_37]),c_0_37]) ).
cnf(c_0_64,plain,
r(v(a,a,b,b),u(a,a,b),u(a,a,b)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_25]),c_0_40]) ).
cnf(c_0_65,plain,
( r(m(X1,X2,u(a,b,b)),m(X3,X4,a),m(X5,X6,u(a,a,b)))
| ~ r(X2,X4,X6)
| ~ r(X1,X3,X5) ),
inference(spm,[status(thm)],[c_0_28,c_0_58]) ).
cnf(c_0_66,plain,
( r(X1,m(X2,v(b,a,a,b),u(a,a,b)),X3)
| ~ r(X1,X2,X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_59]),c_0_37]),c_0_37]) ).
cnf(c_0_67,plain,
r(v(a,b,b,a),v(b,a,a,b),a),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_21]),c_0_22]) ).
cnf(c_0_68,plain,
r(u(a,b,b),v(a,b,b,a),a),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_61]),c_0_44]),c_0_44]) ).
cnf(c_0_69,plain,
( r(u(a,a,X1),v(X2,b,b,a),v(X3,a,a,b))
| ~ r(X1,X2,X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_21]),c_0_46]) ).
cnf(c_0_70,plain,
r(u(a,b,b),u(a,a,b),u(a,a,b)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_44]) ).
cnf(c_0_71,plain,
( r(X1,m(X2,u(a,a,b),a),m(X3,a,u(a,a,b)))
| ~ r(X1,X2,X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_29]),c_0_37]) ).
cnf(c_0_72,plain,
r(v(a,b,b,a),u(a,a,b),a),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_44]) ).
cnf(c_0_73,plain,
( r(X1,m(X2,v(a,b,b,a),u(a,a,b)),X3)
| ~ r(X1,X2,X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_68]),c_0_37]),c_0_37]) ).
cnf(c_0_74,plain,
r(a,v(a,b,b,a),v(b,a,a,b)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_25]),c_0_22]) ).
cnf(c_0_75,plain,
( r(X1,X2,m(X3,u(a,a,b),a))
| ~ r(X1,X2,X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_70]),c_0_37]),c_0_37]) ).
cnf(c_0_76,plain,
r(v(a,b,b,a),a,u(a,a,b)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_44]),c_0_44]) ).
cnf(c_0_77,plain,
( r(v(X1,X2,b,a),v(X3,X4,a,a),v(X5,X6,a,b))
| ~ r(X2,X4,X6)
| ~ r(X1,X3,X5) ),
inference(spm,[status(thm)],[c_0_56,c_0_17]) ).
cnf(c_0_78,plain,
( r(X1,m(X2,u(a,a,b),a),X3)
| ~ r(X1,X2,X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_70]),c_0_37]),c_0_37]) ).
cnf(c_0_79,plain,
r(a,u(a,a,b),v(b,a,a,b)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_44]) ).
cnf(c_0_80,plain,
( r(m(X1,X2,b),m(X3,X4,a),m(X5,X6,a))
| ~ r(X2,X4,X6)
| ~ r(X1,X3,X5) ),
inference(spm,[status(thm)],[c_0_28,c_0_17]) ).
cnf(c_0_81,plain,
r(v(a,b,b,a),a,a),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_44]) ).
cnf(c_0_82,plain,
( r(v(X1,b,b,a),u(a,a,X2),v(X3,a,a,b))
| ~ r(X1,X2,X3) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_17]),c_0_46]) ).
cnf(c_0_83,plain,
( r(m(X1,X2,a),m(X3,X4,a),m(X5,X6,b))
| ~ r(X2,X4,X6)
| ~ r(X1,X3,X5) ),
inference(spm,[status(thm)],[c_0_28,c_0_25]) ).
cnf(c_0_84,plain,
r(a,a,v(b,a,a,b)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_44]) ).
cnf(c_0_85,plain,
( r(m(X1,v(a,b,b,a),b),X2,X3)
| ~ r(X1,X2,X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_37]),c_0_37]) ).
cnf(c_0_86,plain,
r(v(a,b,b,a),a,v(b,a,a,b)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_25]),c_0_22]) ).
cnf(c_0_87,plain,
( r(X1,X2,m(X3,v(b,a,a,b),b))
| ~ r(X1,X2,X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_37]),c_0_37]) ).
cnf(c_0_88,plain,
r(b,a,v(b,a,a,b)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_44]) ).
cnf(c_0_89,plain,
r(b,a,b),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_44]) ).
cnf(c_0_90,plain,
( r(X1,X2,m(X3,b,a))
| ~ r(X1,X2,X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_89]),c_0_37]),c_0_37]) ).
cnf(c_0_91,negated_conjecture,
~ r(a,a,a),
goals ).
cnf(c_0_92,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_25]),c_0_44]),c_0_91]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG442-1 : TPTP v8.1.2. Released v5.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 04:53:52 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.54 start to proof: theBenchmark
% 48.53/48.68 % Version : CSE_E---1.5
% 48.53/48.68 % Problem : theBenchmark.p
% 48.53/48.68 % Proof found
% 48.53/48.68 % SZS status Theorem for theBenchmark.p
% 48.53/48.68 % SZS output start Proof
% See solution above
% 48.53/48.69 % Total time : 48.139000 s
% 48.53/48.69 % SZS output end Proof
% 48.53/48.69 % Total time : 48.143000 s
%------------------------------------------------------------------------------