TSTP Solution File: SYN726-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SYN726-1 : TPTP v8.1.2. Released v2.5.0.
% 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 : n025.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 11:11:44 EDT 2023
% Result : Unsatisfiable 3.30s 1.89s
% Output : CNFRefutation 3.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 40 ( 11 unt; 6 typ; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 55 ( 22 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 2 >; 2 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 56 (; 56 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ q > p > #nlpp > sk4 > sk3 > sk2 > sk1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk2,type,
sk2: $i ).
tff(sk1,type,
sk1: $i ).
tff(q,type,
q: ( $i * $i ) > $o ).
tff(sk4,type,
sk4: $i ).
tff(p,type,
p: ( $i * $i ) > $o ).
tff(sk3,type,
sk3: $i ).
tff(f_46,axiom,
! [A,B] :
( p(A,B)
| q(A,B) ),
file(unknown,unknown) ).
tff(f_42,axiom,
! [B,A] :
( q(B,A)
| ~ q(A,B) ),
file(unknown,unknown) ).
tff(f_37,axiom,
! [A,C,B] :
( q(A,C)
| ~ q(A,B)
| ~ q(B,C) ),
file(unknown,unknown) ).
tff(f_50,axiom,
~ q(sk3,sk4),
file(unknown,unknown) ).
tff(f_29,axiom,
! [A,C,B] :
( p(A,C)
| ~ p(A,B)
| ~ p(B,C) ),
file(unknown,unknown) ).
tff(f_48,axiom,
~ p(sk1,sk2),
file(unknown,unknown) ).
tff(c_14,plain,
! [A_13,B_14] :
( q(A_13,B_14)
| p(A_13,B_14) ),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_6,plain,
! [A_8,B_7] :
( ~ q(A_8,B_7)
| q(B_7,A_8) ),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_20,plain,
! [B_14,A_13] :
( q(B_14,A_13)
| p(A_13,B_14) ),
inference(resolution,[status(thm)],[c_14,c_6]) ).
tff(c_8,plain,
! [A_9,B_10] :
( q(A_9,B_10)
| p(A_9,B_10) ),
inference(cnfTransformation,[status(thm)],[f_46]) ).
tff(c_41,plain,
! [B_21,C_22,A_23] :
( ~ q(B_21,C_22)
| ~ q(A_23,B_21)
| q(A_23,C_22) ),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_60,plain,
! [A_25,A_26,B_27] :
( ~ q(A_25,A_26)
| q(A_25,B_27)
| p(A_26,B_27) ),
inference(resolution,[status(thm)],[c_8,c_41]) ).
tff(c_122,plain,
! [B_34,B_35,A_36] :
( q(B_34,B_35)
| p(A_36,B_35)
| p(A_36,B_34) ),
inference(resolution,[status(thm)],[c_20,c_60]) ).
tff(c_12,plain,
~ q(sk3,sk4),
inference(cnfTransformation,[status(thm)],[f_50]) ).
tff(c_170,plain,
! [A_38] :
( p(A_38,sk4)
| p(A_38,sk3) ),
inference(resolution,[status(thm)],[c_122,c_12]) ).
tff(c_26,plain,
! [B_18,A_19] :
( q(B_18,A_19)
| p(A_19,B_18) ),
inference(resolution,[status(thm)],[c_14,c_6]) ).
tff(c_33,plain,
p(sk4,sk3),
inference(resolution,[status(thm)],[c_26,c_12]) ).
tff(c_2,plain,
! [B_3,C_2,A_1] :
( ~ p(B_3,C_2)
| ~ p(A_1,B_3)
| p(A_1,C_2) ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_36,plain,
! [A_1] :
( ~ p(A_1,sk4)
| p(A_1,sk3) ),
inference(resolution,[status(thm)],[c_33,c_2]) ).
tff(c_176,plain,
! [A_38] : p(A_38,sk3),
inference(resolution,[status(thm)],[c_170,c_36]) ).
tff(c_21,plain,
p(sk3,sk4),
inference(resolution,[status(thm)],[c_14,c_12]) ).
tff(c_22,plain,
! [B_15,C_16,A_17] :
( ~ p(B_15,C_16)
| ~ p(A_17,B_15)
| p(A_17,C_16) ),
inference(cnfTransformation,[status(thm)],[f_29]) ).
tff(c_25,plain,
! [A_17] :
( ~ p(A_17,sk3)
| p(A_17,sk4) ),
inference(resolution,[status(thm)],[c_21,c_22]) ).
tff(c_182,plain,
! [A_17] : p(A_17,sk4),
inference(demodulation,[status(thm),theory(equality)],[c_176,c_25]) ).
tff(c_67,plain,
! [A_28,B_29,A_30] :
( ~ q(A_28,B_29)
| q(A_28,A_30)
| p(A_30,B_29) ),
inference(resolution,[status(thm)],[c_20,c_41]) ).
tff(c_256,plain,
! [A_46,A_47,B_48] :
( q(A_46,A_47)
| p(A_47,B_48)
| p(A_46,B_48) ),
inference(resolution,[status(thm)],[c_8,c_67]) ).
tff(c_300,plain,
! [B_51] :
( p(sk4,B_51)
| p(sk3,B_51) ),
inference(resolution,[status(thm)],[c_256,c_12]) ).
tff(c_302,plain,
! [A_1,B_51] :
( ~ p(A_1,sk4)
| p(A_1,B_51)
| p(sk3,B_51) ),
inference(resolution,[status(thm)],[c_300,c_2]) ).
tff(c_305,plain,
! [A_1,B_51] :
( p(A_1,B_51)
| p(sk3,B_51) ),
inference(demodulation,[status(thm),theory(equality)],[c_182,c_302]) ).
tff(c_331,plain,
! [B_54] : p(sk3,B_54),
inference(factorization,[status(thm),theory(equality)],[c_305]) ).
tff(c_333,plain,
! [A_1,B_54] :
( ~ p(A_1,sk3)
| p(A_1,B_54) ),
inference(resolution,[status(thm)],[c_331,c_2]) ).
tff(c_336,plain,
! [A_1,B_54] : p(A_1,B_54),
inference(demodulation,[status(thm),theory(equality)],[c_176,c_333]) ).
tff(c_10,plain,
~ p(sk1,sk2),
inference(cnfTransformation,[status(thm)],[f_48]) ).
tff(c_355,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_336,c_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN726-1 : TPTP v8.1.2. Released v2.5.0.
% 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
% 0.17/0.36 % Computer : n025.cluster.edu
% 0.17/0.36 % Model : x86_64 x86_64
% 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.36 % Memory : 8042.1875MB
% 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36 % CPULimit : 300
% 0.17/0.36 % WCLimit : 300
% 0.17/0.36 % DateTime : Thu Aug 3 17:34:04 EDT 2023
% 0.17/0.36 % CPUTime :
% 3.30/1.89 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.30/1.89
% 3.30/1.89 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.30/1.92
% 3.30/1.92 Inference rules
% 3.30/1.92 ----------------------
% 3.30/1.92 #Ref : 0
% 3.30/1.92 #Sup : 68
% 3.30/1.92 #Fact : 6
% 3.30/1.92 #Define : 0
% 3.30/1.92 #Split : 0
% 3.30/1.92 #Chain : 0
% 3.30/1.92 #Close : 0
% 3.30/1.92
% 3.30/1.92 Ordering : KBO
% 3.30/1.92
% 3.30/1.92 Simplification rules
% 3.30/1.92 ----------------------
% 3.30/1.92 #Subsume : 15
% 3.30/1.92 #Demod : 41
% 3.30/1.92 #Tautology : 32
% 3.30/1.92 #SimpNegUnit : 0
% 3.30/1.92 #BackRed : 2
% 3.30/1.92
% 3.30/1.92 #Partial instantiations: 0
% 3.30/1.92 #Strategies tried : 1
% 3.30/1.92
% 3.30/1.92 Timing (in seconds)
% 3.30/1.92 ----------------------
% 3.30/1.93 Preprocessing : 0.41
% 3.30/1.93 Parsing : 0.23
% 3.30/1.93 CNF conversion : 0.02
% 3.30/1.93 Main loop : 0.38
% 3.30/1.93 Inferencing : 0.17
% 3.30/1.93 Reduction : 0.07
% 3.30/1.93 Demodulation : 0.05
% 3.30/1.93 BG Simplification : 0.02
% 3.30/1.93 Subsumption : 0.09
% 3.30/1.93 Abstraction : 0.01
% 3.30/1.93 MUC search : 0.00
% 3.30/1.93 Cooper : 0.00
% 3.30/1.93 Total : 0.84
% 3.30/1.93 Index Insertion : 0.00
% 3.30/1.93 Index Deletion : 0.00
% 3.30/1.93 Index Matching : 0.00
% 3.30/1.93 BG Taut test : 0.00
%------------------------------------------------------------------------------