TSTP Solution File: SYN311-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN311-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n001.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 11:10:23 EDT 2023
% Result : Unsatisfiable 2.99s 1.81s
% Output : CNFRefutation 3.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 38 ( 15 unt; 7 typ; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 42 ( 26 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 64 (; 64 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p > #nlpp > g > f > d > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(f,type,
f: $i > $i ).
tff(g,type,
g: $i > $i ).
tff(b,type,
b: $i ).
tff(d,type,
d: $i ).
tff(p,type,
p: ( $i * $i * $i * $i ) > $o ).
tff(c,type,
c: $i ).
tff(f_42,axiom,
p(a,b,c,d),
file(unknown,unknown) ).
tff(f_26,axiom,
! [X3,X,X1,X2] :
( p(X3,X,X1,X2)
| ~ p(X,X1,X2,X3) ),
file(unknown,unknown) ).
tff(f_36,axiom,
! [X,X1,X2,X3] :
( p(X,X1,X2,g(X3))
| ~ p(X,X1,X2,X3) ),
file(unknown,unknown) ).
tff(f_31,axiom,
! [X3,X2,X1,X] :
( p(X3,X2,X1,X)
| ~ p(X,X1,X2,X3) ),
file(unknown,unknown) ).
tff(f_41,axiom,
! [X,X1,X2,X3] :
( p(f(X),X1,X2,X3)
| ~ p(X,X1,X2,X3) ),
file(unknown,unknown) ).
tff(f_44,axiom,
~ p(f(g(d)),f(g(c)),f(g(b)),f(g(a))),
file(unknown,unknown) ).
tff(c_10,plain,
p(a,b,c,d),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_21,plain,
! [X_21,X1_22,X2_23,X3_24] :
( ~ p(X_21,X1_22,X2_23,X3_24)
| p(X3_24,X_21,X1_22,X2_23) ),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_27,plain,
p(d,a,b,c),
inference(resolution,[status(thm)],[c_10,c_21]) ).
tff(c_2,plain,
! [X_2,X1_3,X2_4,X3_1] :
( ~ p(X_2,X1_3,X2_4,X3_1)
| p(X3_1,X_2,X1_3,X2_4) ),
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_32,plain,
p(c,d,a,b),
inference(resolution,[status(thm)],[c_27,c_2]) ).
tff(c_34,plain,
! [X_25,X1_26,X2_27,X3_28] :
( ~ p(X_25,X1_26,X2_27,X3_28)
| p(X_25,X1_26,X2_27,g(X3_28)) ),
inference(cnfTransformation,[status(thm)],[f_36]) ).
tff(c_39,plain,
! [X3_28,X_25,X1_26,X2_27] :
( p(g(X3_28),X_25,X1_26,X2_27)
| ~ p(X_25,X1_26,X2_27,X3_28) ),
inference(resolution,[status(thm)],[c_34,c_2]) ).
tff(c_4,plain,
! [X_8,X1_7,X2_6,X3_5] :
( ~ p(X_8,X1_7,X2_6,X3_5)
| p(X3_5,X2_6,X1_7,X_8) ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_86,plain,
! [X3_33,X2_34,X1_35,X_36] :
( p(g(X3_33),X2_34,X1_35,X_36)
| ~ p(X_36,X1_35,X2_34,X3_33) ),
inference(resolution,[status(thm)],[c_34,c_4]) ).
tff(c_91,plain,
! [X_36,X3_33,X2_34,X1_35] :
( p(X_36,g(X3_33),X2_34,X1_35)
| ~ p(X_36,X1_35,X2_34,X3_33) ),
inference(resolution,[status(thm)],[c_86,c_2]) ).
tff(c_61,plain,
! [X_29,X1_30,X2_31,X3_32] :
( ~ p(X_29,X1_30,X2_31,X3_32)
| p(f(X_29),X1_30,X2_31,X3_32) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_66,plain,
! [X3_32,X_29,X1_30,X2_31] :
( p(X3_32,f(X_29),X1_30,X2_31)
| ~ p(X_29,X1_30,X2_31,X3_32) ),
inference(resolution,[status(thm)],[c_61,c_2]) ).
tff(c_115,plain,
! [X3_45,X_46,X1_47,X2_48] :
( p(X3_45,f(X_46),X1_47,X2_48)
| ~ p(X_46,X1_47,X2_48,X3_45) ),
inference(resolution,[status(thm)],[c_61,c_2]) ).
tff(c_124,plain,
! [X2_48,X3_45,X_46,X1_47] :
( p(X2_48,X3_45,f(X_46),X1_47)
| ~ p(X_46,X1_47,X2_48,X3_45) ),
inference(resolution,[status(thm)],[c_115,c_2]) ).
tff(c_8,plain,
! [X_13,X1_14,X2_15,X3_16] :
( ~ p(X_13,X1_14,X2_15,X3_16)
| p(f(X_13),X1_14,X2_15,X3_16) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_12,plain,
~ p(f(g(d)),f(g(c)),f(g(b)),f(g(a))),
inference(cnfTransformation,[status(thm)],[f_44]) ).
tff(c_96,plain,
~ p(g(d),f(g(c)),f(g(b)),f(g(a))),
inference(resolution,[status(thm)],[c_8,c_12]) ).
tff(c_200,plain,
~ p(g(c),f(g(b)),f(g(a)),g(d)),
inference(resolution,[status(thm)],[c_66,c_96]) ).
tff(c_225,plain,
~ p(g(a),g(d),g(c),f(g(b))),
inference(resolution,[status(thm)],[c_124,c_200]) ).
tff(c_247,plain,
~ p(g(a),f(g(b)),g(c),d),
inference(resolution,[status(thm)],[c_91,c_225]) ).
tff(c_261,plain,
~ p(g(b),g(c),d,g(a)),
inference(resolution,[status(thm)],[c_66,c_247]) ).
tff(c_302,plain,
~ p(g(b),g(a),d,c),
inference(resolution,[status(thm)],[c_91,c_261]) ).
tff(c_320,plain,
~ p(g(b),c,d,a),
inference(resolution,[status(thm)],[c_91,c_302]) ).
tff(c_326,plain,
~ p(c,d,a,b),
inference(resolution,[status(thm)],[c_39,c_320]) ).
tff(c_333,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32,c_326]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN311-1 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.35 % Computer : n001.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 17:42:40 EDT 2023
% 0.13/0.35 % CPUTime :
% 2.99/1.81 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.16/1.82
% 3.16/1.82 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.27/1.86
% 3.27/1.86 Inference rules
% 3.27/1.86 ----------------------
% 3.27/1.86 #Ref : 0
% 3.27/1.86 #Sup : 84
% 3.27/1.86 #Fact : 0
% 3.27/1.86 #Define : 0
% 3.27/1.86 #Split : 0
% 3.27/1.86 #Chain : 0
% 3.27/1.86 #Close : 0
% 3.27/1.86
% 3.27/1.86 Ordering : KBO
% 3.27/1.86
% 3.27/1.86 Simplification rules
% 3.27/1.86 ----------------------
% 3.27/1.86 #Subsume : 7
% 3.27/1.86 #Demod : 10
% 3.27/1.86 #Tautology : 9
% 3.27/1.86 #SimpNegUnit : 0
% 3.27/1.86 #BackRed : 0
% 3.27/1.86
% 3.27/1.86 #Partial instantiations: 0
% 3.27/1.86 #Strategies tried : 1
% 3.27/1.86
% 3.27/1.86 Timing (in seconds)
% 3.27/1.86 ----------------------
% 3.27/1.86 Preprocessing : 0.40
% 3.27/1.86 Parsing : 0.22
% 3.27/1.86 CNF conversion : 0.02
% 3.27/1.86 Main loop : 0.36
% 3.27/1.86 Inferencing : 0.15
% 3.27/1.86 Reduction : 0.08
% 3.27/1.86 Demodulation : 0.06
% 3.27/1.86 BG Simplification : 0.01
% 3.27/1.86 Subsumption : 0.09
% 3.27/1.86 Abstraction : 0.01
% 3.27/1.86 MUC search : 0.00
% 3.27/1.86 Cooper : 0.00
% 3.27/1.86 Total : 0.82
% 3.27/1.86 Index Insertion : 0.00
% 3.27/1.86 Index Deletion : 0.00
% 3.27/1.86 Index Matching : 0.00
% 3.27/1.86 BG Taut test : 0.00
%------------------------------------------------------------------------------