TSTP Solution File: ALG173+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : ALG173+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n019.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 Aug 22 10:32:16 EDT 2023
% Result : Theorem 95.70s 82.80s
% Output : CNFRefutation 95.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 17 ( 8 unt; 6 typ; 0 def)
% Number of atoms : 72 ( 71 equ)
% Maximal formula atoms : 50 ( 6 avg)
% Number of connectives : 99 ( 38 ~; 4 |; 57 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 (; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ op > #nlpp > e4 > e3 > e2 > e1 > e0
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(e1,type,
e1: $i ).
tff(e0,type,
e0: $i ).
tff(e2,type,
e2: $i ).
tff(op,type,
op: ( $i * $i ) > $i ).
tff(e4,type,
e4: $i ).
tff(e3,type,
e3: $i ).
tff(f_1283,negated_conjecture,
~ ~ ( ( ( ( op(e0,e0) != e0 )
& ( op(e0,e1) != e1 )
& ( op(e0,e2) != e2 )
& ( op(e0,e3) != e3 )
& ( op(e0,e4) != e4 ) )
| ( ( op(e1,e0) != e0 )
& ( op(e1,e1) != e1 )
& ( op(e1,e2) != e2 )
& ( op(e1,e3) != e3 )
& ( op(e1,e4) != e4 ) )
| ( ( op(e2,e0) != e0 )
& ( op(e2,e1) != e1 )
& ( op(e2,e2) != e2 )
& ( op(e2,e3) != e3 )
& ( op(e2,e4) != e4 ) )
| ( ( op(e3,e0) != e0 )
& ( op(e3,e1) != e1 )
& ( op(e3,e2) != e2 )
& ( op(e3,e3) != e3 )
& ( op(e3,e4) != e4 ) )
| ( ( op(e4,e0) != e0 )
& ( op(e4,e1) != e1 )
& ( op(e4,e2) != e2 )
& ( op(e4,e3) != e3 )
& ( op(e4,e4) != e4 ) ) )
& ( op(e0,op(e0,e0)) = e0 )
& ( op(e0,op(e0,e1)) = e1 )
& ( op(e0,op(e0,e2)) = e2 )
& ( op(e0,op(e0,e3)) = e3 )
& ( op(e0,op(e0,e4)) = e4 )
& ( op(e1,op(e1,e0)) = e0 )
& ( op(e1,op(e1,e1)) = e1 )
& ( op(e1,op(e1,e2)) = e2 )
& ( op(e1,op(e1,e3)) = e3 )
& ( op(e1,op(e1,e4)) = e4 )
& ( op(e2,op(e2,e0)) = e0 )
& ( op(e2,op(e2,e1)) = e1 )
& ( op(e2,op(e2,e2)) = e2 )
& ( op(e2,op(e2,e3)) = e3 )
& ( op(e2,op(e2,e4)) = e4 )
& ( op(e3,op(e3,e0)) = e0 )
& ( op(e3,op(e3,e1)) = e1 )
& ( op(e3,op(e3,e2)) = e2 )
& ( op(e3,op(e3,e3)) = e3 )
& ( op(e3,op(e3,e4)) = e4 )
& ( op(e4,op(e4,e0)) = e0 )
& ( op(e4,op(e4,e1)) = e1 )
& ( op(e4,op(e4,e2)) = e2 )
& ( op(e4,op(e4,e3)) = e3 )
& ( op(e4,op(e4,e4)) = e4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f_1157,axiom,
( ( e0 = op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) )
& ( e1 = op(e3,op(e3,op(e3,e3))) )
& ( e2 = op(e3,e3) )
& ( e4 = op(e3,op(e3,e3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
tff(f_1150,axiom,
( ( e0 != e1 )
& ( e0 != e2 )
& ( e0 != e3 )
& ( e0 != e4 )
& ( e1 != e2 )
& ( e1 != e3 )
& ( e1 != e4 )
& ( e2 != e3 )
& ( e2 != e4 )
& ( e3 != e4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
tff(c_442,plain,
op(e3,op(e3,e3)) = e3,
inference(cnfTransformation,[status(thm)],[f_1283]) ).
tff(c_428,plain,
op(op(e3,op(e3,e3)),op(e3,op(e3,e3))) = e0,
inference(cnfTransformation,[status(thm)],[f_1157]) ).
tff(c_6729,plain,
op(e3,e3) = e0,
inference(demodulation,[status(thm),theory(equality)],[c_442,c_442,c_428]) ).
tff(c_6744,plain,
op(e3,e0) = e3,
inference(demodulation,[status(thm),theory(equality)],[c_6729,c_442]) ).
tff(c_426,plain,
op(e3,op(e3,op(e3,e3))) = e1,
inference(cnfTransformation,[status(thm)],[f_1157]) ).
tff(c_7983,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_6729,c_6744,c_6729,c_426]) ).
tff(c_420,plain,
e1 != e0,
inference(cnfTransformation,[status(thm)],[f_1150]) ).
tff(c_11914,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_7983,c_420]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG173+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n019.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 : Thu Aug 3 20:19:16 EDT 2023
% 0.14/0.35 % CPUTime :
% 95.70/82.80 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 95.70/82.80
% 95.70/82.80 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 95.70/82.84
% 95.70/82.85 Inference rules
% 95.70/82.85 ----------------------
% 95.70/82.85 #Ref : 0
% 95.70/82.85 #Sup : 0
% 95.70/82.85 #Fact : 0
% 95.70/82.85 #Define : 0
% 95.70/82.85 #Split : 0
% 95.70/82.85 #Chain : 0
% 95.70/82.85 #Close : 0
% 95.70/82.85
% 95.70/82.85 Ordering : KBO
% 95.70/82.85
% 95.70/82.85 Simplification rules
% 95.70/82.85 ----------------------
% 95.70/82.85 #Subsume : 3341
% 95.70/82.85 #Demod : 12002
% 95.70/82.85 #Tautology : 22
% 95.70/82.85 #SimpNegUnit : 0
% 95.70/82.85 #BackRed : 0
% 95.70/82.85
% 95.70/82.85 #Partial instantiations: 0
% 95.70/82.85 #Strategies tried : 1
% 95.70/82.85
% 95.70/82.85 Timing (in seconds)
% 95.70/82.85 ----------------------
% 95.70/82.85 Preprocessing : 1.19
% 95.70/82.85 Parsing : 0.42
% 95.70/82.85 CNF conversion : 0.09
% 95.70/82.85 Main loop : 80.56
% 95.70/82.85 Inferencing : 0.00
% 95.70/82.85 Reduction : 12.06
% 95.70/82.85 Demodulation : 9.95
% 95.70/82.85 BG Simplification : 0.25
% 95.70/82.85 Subsumption : 66.17
% 95.70/82.85 Abstraction : 0.31
% 95.70/82.85 MUC search : 0.00
% 95.70/82.85 Cooper : 0.00
% 95.70/82.85 Total : 81.82
% 95.70/82.85 Index Insertion : 0.00
% 95.70/82.85 Index Deletion : 0.00
% 95.70/82.85 Index Matching : 0.00
% 95.70/82.85 BG Taut test : 0.00
%------------------------------------------------------------------------------