TSTP Solution File: SYN195-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN195-1 : TPTP v8.1.2. Released v1.1.0.
% 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 11:09:53 EDT 2023

% Result   : Unsatisfiable 11.92s 3.96s
% Output   : CNFRefutation 12.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   65
% Syntax   : Number of formulae    :   89 (  17 unt;  53 typ;   0 def)
%            Number of atoms       :   62 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   57 (  31   ~;  26   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   90 (  48   >;  42   *;   0   +;   0  <<)
%            Number of predicates  :   49 (  48 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   49 (;  49   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ r3 > q2 > q1 > p5 > p4 > p3 > p2 > p1 > n1 > m3 > m1 > m0 > k3 > s3 > r5 > q5 > q4 > q3 > q0 > p0 > n5 > n4 > n0 > m5 > m4 > l3 > l2 > l1 > k2 > s5 > s4 > s2 > s1 > s0 > r4 > r2 > r1 > r0 > n3 > n2 > m2 > l5 > l4 > l0 > k5 > k4 > k1 > k0 > #nlpp > e > d > c > b > a

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(n5,type,
    n5: ( $i * $i ) > $o ).

tff(p2,type,
    p2: ( $i * $i * $i ) > $o ).

tff(m2,type,
    m2: $i > $o ).

tff(s5,type,
    s5: $i > $o ).

tff(s1,type,
    s1: $i > $o ).

tff(m5,type,
    m5: ( $i * $i ) > $o ).

tff(q4,type,
    q4: ( $i * $i ) > $o ).

tff(m4,type,
    m4: ( $i * $i ) > $o ).

tff(a,type,
    a: $i ).

tff(k1,type,
    k1: $i > $o ).

tff(l1,type,
    l1: ( $i * $i ) > $o ).

tff(s0,type,
    s0: $i > $o ).

tff(q2,type,
    q2: ( $i * $i * $i ) > $o ).

tff(n0,type,
    n0: ( $i * $i ) > $o ).

tff(k0,type,
    k0: $i > $o ).

tff(m3,type,
    m3: ( $i * $i * $i ) > $o ).

tff(r4,type,
    r4: $i > $o ).

tff(l0,type,
    l0: $i > $o ).

tff(q0,type,
    q0: ( $i * $i ) > $o ).

tff(k4,type,
    k4: $i > $o ).

tff(m1,type,
    m1: ( $i * $i * $i ) > $o ).

tff(b,type,
    b: $i ).

tff(p0,type,
    p0: ( $i * $i ) > $o ).

tff(r0,type,
    r0: $i > $o ).

tff(q1,type,
    q1: ( $i * $i * $i ) > $o ).

tff(s4,type,
    s4: $i > $o ).

tff(r3,type,
    r3: ( $i * $i * $i ) > $o ).

tff(k2,type,
    k2: ( $i * $i ) > $o ).

tff(n2,type,
    n2: $i > $o ).

tff(s3,type,
    s3: ( $i * $i ) > $o ).

tff(l3,type,
    l3: ( $i * $i ) > $o ).

tff(p3,type,
    p3: ( $i * $i * $i ) > $o ).

tff(p4,type,
    p4: ( $i * $i * $i ) > $o ).

tff(s2,type,
    s2: $i > $o ).

tff(r5,type,
    r5: ( $i * $i ) > $o ).

tff(k3,type,
    k3: ( $i * $i * $i ) > $o ).

tff(d,type,
    d: $i ).

tff(l2,type,
    l2: ( $i * $i ) > $o ).

tff(l4,type,
    l4: $i > $o ).

tff(l5,type,
    l5: $i > $o ).

tff(k5,type,
    k5: $i > $o ).

tff(p5,type,
    p5: ( $i * $i * $i ) > $o ).

tff(n4,type,
    n4: ( $i * $i ) > $o ).

tff(q3,type,
    q3: ( $i * $i ) > $o ).

tff(m0,type,
    m0: ( $i * $i * $i ) > $o ).

tff(q5,type,
    q5: ( $i * $i ) > $o ).

tff(e,type,
    e: $i ).

tff(n1,type,
    n1: ( $i * $i * $i ) > $o ).

tff(r1,type,
    r1: $i > $o ).

tff(n3,type,
    n3: $i > $o ).

tff(r2,type,
    r2: $i > $o ).

tff(p1,type,
    p1: ( $i * $i * $i ) > $o ).

tff(c,type,
    c: $i ).

tff(f_59,axiom,
    ! [X] : p0(b,X),
    file(unknown,unknown) ).

tff(f_761,axiom,
    ! [B,C] :
      ( p1(B,B,B)
      | ~ p0(C,B) ),
    file(unknown,unknown) ).

tff(f_1169,axiom,
    ! [A,B,C] :
      ( n2(A)
      | ~ p1(B,C,A) ),
    file(unknown,unknown) ).

tff(f_2042,axiom,
    ! [H] :
      ( p3(H,H,H)
      | ~ n2(H) ),
    file(unknown,unknown) ).

tff(f_81,axiom,
    n0(c,d),
    file(unknown,unknown) ).

tff(f_96,axiom,
    ! [G,H] :
      ( l1(G,G)
      | ~ n0(H,G) ),
    file(unknown,unknown) ).

tff(f_1480,axiom,
    ! [F,G] :
      ( p2(F,F,F)
      | ~ l1(G,F) ),
    file(unknown,unknown) ).

tff(f_2007,axiom,
    ! [D,E,F] :
      ( n3(D)
      | ~ p2(E,F,D) ),
    file(unknown,unknown) ).

tff(f_79,axiom,
    k0(b),
    file(unknown,unknown) ).

tff(f_2733,axiom,
    ! [C,D] :
      ( r5(C,D)
      | ~ s4(C)
      | ~ k0(b)
      | ~ n3(D) ),
    file(unknown,unknown) ).

tff(f_2764,axiom,
    ~ r5(d,d),
    file(unknown,unknown) ).

tff(f_2522,axiom,
    ! [A,B,C,D] :
      ( s4(A)
      | ~ p3(B,C,D)
      | ~ l1(A,C) ),
    file(unknown,unknown) ).

tff(c_28,plain,
    ! [X_2] : p0(b,X_2),
    inference(cnfTransformation,[status(thm)],[f_59]) ).

tff(c_3319,plain,
    ! [C_1065,B_1066] :
      ( ~ p0(C_1065,B_1066)
      | p1(B_1066,B_1066,B_1066) ),
    inference(cnfTransformation,[status(thm)],[f_761]) ).

tff(c_3342,plain,
    ! [X_1067] : p1(X_1067,X_1067,X_1067),
    inference(resolution,[status(thm)],[c_28,c_3319]) ).

tff(c_350,plain,
    ! [B_257,C_258,A_256] :
      ( ~ p1(B_257,C_258,A_256)
      | n2(A_256) ),
    inference(cnfTransformation,[status(thm)],[f_1169]) ).

tff(c_3346,plain,
    ! [X_1067] : n2(X_1067),
    inference(resolution,[status(thm)],[c_3342,c_350]) ).

tff(c_564,plain,
    ! [H_442] :
      ( ~ n2(H_442)
      | p3(H_442,H_442,H_442) ),
    inference(cnfTransformation,[status(thm)],[f_2042]) ).

tff(c_3359,plain,
    ! [H_442] : p3(H_442,H_442,H_442),
    inference(demodulation,[status(thm),theory(equality)],[c_3346,c_564]) ).

tff(c_68,plain,
    n0(c,d),
    inference(cnfTransformation,[status(thm)],[f_81]) ).

tff(c_1297,plain,
    ! [H_748,G_749] :
      ( ~ n0(H_748,G_749)
      | l1(G_749,G_749) ),
    inference(cnfTransformation,[status(thm)],[f_96]) ).

tff(c_1321,plain,
    l1(d,d),
    inference(resolution,[status(thm)],[c_68,c_1297]) ).

tff(c_3249,plain,
    ! [G_1060,F_1061] :
      ( ~ l1(G_1060,F_1061)
      | p2(F_1061,F_1061,F_1061) ),
    inference(cnfTransformation,[status(thm)],[f_1480]) ).

tff(c_3260,plain,
    p2(d,d,d),
    inference(resolution,[status(thm)],[c_1321,c_3249]) ).

tff(c_556,plain,
    ! [E_432,F_433,D_431] :
      ( ~ p2(E_432,F_433,D_431)
      | n3(D_431) ),
    inference(cnfTransformation,[status(thm)],[f_2007]) ).

tff(c_3272,plain,
    n3(d),
    inference(resolution,[status(thm)],[c_3260,c_556]) ).

tff(c_64,plain,
    k0(b),
    inference(cnfTransformation,[status(thm)],[f_79]) ).

tff(c_730,plain,
    ! [D_620,C_619] :
      ( ~ n3(D_620)
      | ~ k0(b)
      | ~ s4(C_619)
      | r5(C_619,D_620) ),
    inference(cnfTransformation,[status(thm)],[f_2733]) ).

tff(c_4379,plain,
    ! [D_1198,C_1199] :
      ( ~ n3(D_1198)
      | ~ s4(C_1199)
      | r5(C_1199,D_1198) ),
    inference(demodulation,[status(thm),theory(equality)],[c_64,c_730]) ).

tff(c_738,plain,
    ~ r5(d,d),
    inference(cnfTransformation,[status(thm)],[f_2764]) ).

tff(c_4382,plain,
    ( ~ n3(d)
    | ~ s4(d) ),
    inference(resolution,[status(thm)],[c_4379,c_738]) ).

tff(c_4385,plain,
    ~ s4(d),
    inference(demodulation,[status(thm),theory(equality)],[c_3272,c_4382]) ).

tff(c_6433,plain,
    ! [A_1486,C_1487,B_1488,D_1489] :
      ( ~ l1(A_1486,C_1487)
      | ~ p3(B_1488,C_1487,D_1489)
      | s4(A_1486) ),
    inference(cnfTransformation,[status(thm)],[f_2522]) ).

tff(c_6435,plain,
    ! [B_1488,D_1489] :
      ( ~ p3(B_1488,d,D_1489)
      | s4(d) ),
    inference(resolution,[status(thm)],[c_1321,c_6433]) ).

tff(c_6452,plain,
    ! [B_1490,D_1491] : ~ p3(B_1490,d,D_1491),
    inference(negUnitSimplification,[status(thm)],[c_4385,c_6435]) ).

tff(c_6457,plain,
    $false,
    inference(resolution,[status(thm)],[c_3359,c_6452]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : SYN195-1 : TPTP v8.1.2. Released v1.1.0.
% 0.13/0.14  % 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
% 0.13/0.35  % Computer : n019.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 17:22:31 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 11.92/3.96  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.92/3.97  
% 11.92/3.97  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 12.08/4.00  
% 12.08/4.00  Inference rules
% 12.08/4.00  ----------------------
% 12.08/4.00  #Ref     : 0
% 12.08/4.00  #Sup     : 982
% 12.08/4.00  #Fact    : 0
% 12.08/4.00  #Define  : 0
% 12.08/4.00  #Split   : 110
% 12.08/4.00  #Chain   : 0
% 12.08/4.00  #Close   : 0
% 12.08/4.00  
% 12.08/4.00  Ordering : KBO
% 12.08/4.00  
% 12.08/4.00  Simplification rules
% 12.08/4.00  ----------------------
% 12.08/4.00  #Subsume      : 111
% 12.08/4.00  #Demod        : 1165
% 12.08/4.00  #Tautology    : 967
% 12.08/4.00  #SimpNegUnit  : 42
% 12.08/4.00  #BackRed      : 47
% 12.08/4.00  
% 12.08/4.00  #Partial instantiations: 0
% 12.08/4.00  #Strategies tried      : 1
% 12.08/4.00  
% 12.08/4.00  Timing (in seconds)
% 12.08/4.00  ----------------------
% 12.08/4.00  Preprocessing        : 0.99
% 12.08/4.00  Parsing              : 0.56
% 12.08/4.00  CNF conversion       : 0.08
% 12.08/4.00  Main loop            : 1.94
% 12.08/4.00  Inferencing          : 0.59
% 12.08/4.00  Reduction            : 0.69
% 12.08/4.00  Demodulation         : 0.45
% 12.08/4.00  BG Simplification    : 0.10
% 12.08/4.00  Subsumption          : 0.37
% 12.08/4.00  Abstraction          : 0.04
% 12.08/4.00  MUC search           : 0.00
% 12.08/4.00  Cooper               : 0.00
% 12.08/4.00  Total                : 2.99
% 12.08/4.00  Index Insertion      : 0.00
% 12.08/4.00  Index Deletion       : 0.00
% 12.08/4.00  Index Matching       : 0.00
% 12.08/4.00  BG Taut test         : 0.00
%------------------------------------------------------------------------------