TSTP Solution File: SYN563-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SYN563-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d

% Computer : n008.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 : Fri Sep  1 01:46:24 EDT 2023

% Result   : Unsatisfiable 0.20s 0.68s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN563-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sat Aug 26 18:20:47 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.56  start to proof:theBenchmark
% 0.20/0.67  %-------------------------------------------
% 0.20/0.67  % File        :CSE---1.6
% 0.20/0.67  % Problem     :theBenchmark
% 0.20/0.67  % Transform   :cnf
% 0.20/0.67  % Format      :tptp:raw
% 0.20/0.67  % Command     :java -jar mcs_scs.jar %d %s
% 0.20/0.67  
% 0.20/0.67  % Result      :Theorem 0.050000s
% 0.20/0.67  % Output      :CNFRefutation 0.050000s
% 0.20/0.67  %-------------------------------------------
% 0.20/0.67  %--------------------------------------------------------------------------
% 0.20/0.67  % File     : SYN563-1 : TPTP v8.1.2. Released v2.5.0.
% 0.20/0.67  % Domain   : Syntactic
% 0.20/0.67  % Problem  : Harrison problem 2755
% 0.20/0.67  % Version  : Especial.
% 0.20/0.67  % English  :
% 0.20/0.67  
% 0.20/0.67  % Refs     : [Har01] Email to G. Sutcliffe
% 0.20/0.67  % Source   : [Har01]
% 0.20/0.67  % Names    :
% 0.20/0.67  
% 0.20/0.67  % Status   : Unsatisfiable
% 0.20/0.67  % Rating   : 0.00 v8.1.0, 0.25 v7.4.0, 0.33 v7.3.0, 0.25 v6.2.0, 0.17 v6.1.0, 0.07 v6.0.0, 0.11 v5.5.0, 0.12 v5.4.0, 0.22 v5.3.0, 0.25 v5.2.0, 0.08 v5.1.0, 0.12 v5.0.0, 0.13 v4.0.1, 0.14 v3.7.0, 0.00 v2.6.0, 0.33 v2.5.0
% 0.20/0.67  % Syntax   : Number of clauses     :   17 (   6 unt;   0 nHn;  14 RR)
% 0.20/0.67  %            Number of literals    :   35 (   0 equ;  20 neg)
% 0.20/0.67  %            Maximal clause size   :    4 (   2 avg)
% 0.20/0.67  %            Maximal term depth    :    3 (   1 avg)
% 0.20/0.67  %            Number of predicates  :    3 (   3 usr;   0 prp; 2-2 aty)
% 0.20/0.67  %            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
% 0.20/0.67  %            Number of variables   :   31 (   0 sgn)
% 0.20/0.67  % SPC      : CNF_UNS_RFO_NEQ_HRN
% 0.20/0.67  
% 0.20/0.67  % Comments :
% 0.20/0.67  %--------------------------------------------------------------------------
% 0.20/0.67  cnf(p2_1,negated_conjecture,
% 0.20/0.67      p2(X0,X0) ).
% 0.20/0.67  
% 0.20/0.67  cnf(p6_2,negated_conjecture,
% 0.20/0.67      p6(X22,X22) ).
% 0.20/0.67  
% 0.20/0.67  cnf(not_p6_3,negated_conjecture,
% 0.20/0.67      ~ p6(f4(c7),c8) ).
% 0.20/0.67  
% 0.20/0.67  cnf(p2_4,negated_conjecture,
% 0.20/0.67      p2(f4(c7),f4(c8)) ).
% 0.20/0.67  
% 0.20/0.67  cnf(not_p6_5,negated_conjecture,
% 0.20/0.67      ~ p6(f4(c7),f3(f4(c8))) ).
% 0.20/0.67  
% 0.20/0.67  cnf(p6_6,negated_conjecture,
% 0.20/0.67      ( p6(X20,X21)
% 0.20/0.67      | ~ p5(X20,X21) ) ).
% 0.20/0.67  
% 0.20/0.67  cnf(p5_7,negated_conjecture,
% 0.20/0.67      p5(f3(f3(X16)),f3(f4(X16))) ).
% 0.20/0.67  
% 0.20/0.67  cnf(p5_8,negated_conjecture,
% 0.20/0.67      ( p5(X10,X11)
% 0.20/0.67      | ~ p6(f4(X10),X11) ) ).
% 0.20/0.67  
% 0.20/0.67  cnf(p6_9,negated_conjecture,
% 0.20/0.67      ( p6(c7,f3(X27))
% 0.20/0.67      | ~ p6(c7,X27) ) ).
% 0.20/0.68  
% 0.20/0.68  cnf(p6_10,negated_conjecture,
% 0.20/0.68      ( p6(f4(X10),X11)
% 0.20/0.68      | ~ p5(X10,X11) ) ).
% 0.20/0.68  
% 0.20/0.68  cnf(p2_11,negated_conjecture,
% 0.20/0.68      ( p2(f3(X3),f3(X4))
% 0.20/0.68      | ~ p2(X3,X4) ) ).
% 0.20/0.68  
% 0.20/0.68  cnf(p2_12,negated_conjecture,
% 0.20/0.68      ( p2(f4(X5),f4(X6))
% 0.20/0.68      | ~ p2(X5,X6) ) ).
% 0.20/0.68  
% 0.20/0.68  cnf(p2_13,negated_conjecture,
% 0.20/0.68      ( p2(X1,X2)
% 0.20/0.68      | ~ p2(X0,X1)
% 0.20/0.68      | ~ p2(X0,X2) ) ).
% 0.20/0.68  
% 0.20/0.68  cnf(p6_14,negated_conjecture,
% 0.20/0.68      ( p6(X17,X18)
% 0.20/0.68      | ~ p6(X17,X19)
% 0.20/0.68      | ~ p6(X19,X18) ) ).
% 0.20/0.68  
% 0.20/0.68  cnf(p5_15,negated_conjecture,
% 0.20/0.68      ( p5(X7,X8)
% 0.20/0.68      | ~ p5(X9,X8)
% 0.20/0.68      | ~ p6(X7,X9) ) ).
% 0.20/0.68  
% 0.20/0.68  cnf(p6_16,negated_conjecture,
% 0.20/0.68      ( p6(X23,X24)
% 0.20/0.68      | ~ p2(X26,X23)
% 0.20/0.68      | ~ p6(X26,X25)
% 0.20/0.68      | ~ p2(X25,X24) ) ).
% 0.20/0.68  
% 0.20/0.68  cnf(p5_17,negated_conjecture,
% 0.20/0.68      ( p5(X12,X13)
% 0.20/0.68      | ~ p2(X15,X13)
% 0.20/0.68      | ~ p5(X14,X15)
% 0.20/0.68      | ~ p2(X14,X12) ) ).
% 0.20/0.68  
% 0.20/0.68  %--------------------------------------------------------------------------
% 0.20/0.68  %-------------------------------------------
% 0.20/0.68  % Proof found
% 0.20/0.68  % SZS status Theorem for theBenchmark
% 0.20/0.68  % SZS output start Proof
% 0.20/0.68  %ClaNum:17(EqnAxiom:0)
% 0.20/0.68  %VarNum:62(SingletonVarNum:31)
% 0.20/0.68  %MaxLitNum:4
% 0.20/0.68  %MaxfuncDepth:2
% 0.20/0.68  %SharedTerms:8
% 0.20/0.68  %goalClause: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
% 0.20/0.68  %singleGoalClaCount:6
% 0.20/0.68  [3]P1(f2(a1),f2(a3))
% 0.20/0.68  [5]~P2(f2(a1),a3)
% 0.20/0.68  [6]~P2(f2(a1),f4(f2(a3)))
% 0.20/0.68  [1]P1(x11,x11)
% 0.20/0.68  [2]P2(x21,x21)
% 0.20/0.68  [4]P3(f4(f4(x41)),f4(f2(x41)))
% 0.20/0.68  [8]~P2(a1,x81)+P2(a1,f4(x81))
% 0.20/0.68  [7]~P3(x71,x72)+P2(x71,x72)
% 0.20/0.68  [9]~P3(x91,x92)+P2(f2(x91),x92)
% 0.20/0.68  [10]P3(x101,x102)+~P2(f2(x101),x102)
% 0.20/0.68  [11]~P1(x111,x112)+P1(f2(x111),f2(x112))
% 0.20/0.68  [12]~P1(x121,x122)+P1(f4(x121),f4(x122))
% 0.20/0.68  [13]~P1(x133,x131)+P1(x131,x132)+~P1(x133,x132)
% 0.20/0.68  [14]~P2(x141,x143)+P2(x141,x142)+~P2(x143,x142)
% 0.20/0.68  [15]~P3(x153,x152)+P3(x151,x152)+~P2(x151,x153)
% 0.20/0.68  [16]~P2(x164,x163)+P2(x161,x162)+~P1(x163,x162)+~P1(x164,x161)
% 0.20/0.68  [17]~P3(x173,x174)+P3(x171,x172)+~P1(x173,x171)+~P1(x174,x172)
% 0.20/0.68  %EqnAxiom
% 0.20/0.68  
% 0.20/0.68  %-------------------------------------------
% 0.20/0.68  cnf(18,plain,
% 0.20/0.68     (~P3(f2(a1),a3)),
% 0.20/0.68     inference(scs_inference,[],[5,7])).
% 0.20/0.68  cnf(19,plain,
% 0.20/0.68     (P3(x191,f2(x191))),
% 0.20/0.68     inference(scs_inference,[],[2,5,7,10])).
% 0.20/0.68  cnf(20,plain,
% 0.20/0.68     (P2(x201,x201)),
% 0.20/0.68     inference(rename_variables,[],[2])).
% 0.20/0.68  cnf(22,plain,
% 0.20/0.68     (~P3(a1,a3)),
% 0.20/0.68     inference(scs_inference,[],[2,5,7,10,9])).
% 0.20/0.68  cnf(24,plain,
% 0.20/0.68     (P2(a1,f4(a1))),
% 0.20/0.68     inference(scs_inference,[],[2,20,5,7,10,9,8])).
% 0.20/0.68  cnf(25,plain,
% 0.20/0.68     (P2(x251,x251)),
% 0.20/0.68     inference(rename_variables,[],[2])).
% 0.20/0.68  cnf(27,plain,
% 0.20/0.68     (P1(f4(f2(a1)),f4(f2(a3)))),
% 0.20/0.68     inference(scs_inference,[],[2,20,5,3,7,10,9,8,12])).
% 0.20/0.68  cnf(29,plain,
% 0.20/0.68     (P1(f2(f2(a1)),f2(f2(a3)))),
% 0.20/0.68     inference(scs_inference,[],[2,20,5,3,7,10,9,8,12,11])).
% 0.20/0.68  cnf(31,plain,
% 0.20/0.68     (~P1(f4(f4(x311)),x312)+P3(x312,f4(f2(x311)))),
% 0.20/0.68     inference(scs_inference,[],[1,2,20,5,3,4,7,10,9,8,12,11,17])).
% 0.20/0.68  cnf(32,plain,
% 0.20/0.68     (P1(x321,x321)),
% 0.20/0.68     inference(rename_variables,[],[1])).
% 0.20/0.68  cnf(34,plain,
% 0.20/0.68     (~P1(f2(a1),a3)),
% 0.20/0.68     inference(scs_inference,[],[1,32,2,20,25,5,3,4,7,10,9,8,12,11,17,16])).
% 0.20/0.68  cnf(40,plain,
% 0.20/0.68     (P3(a1,f2(f4(a1)))),
% 0.20/0.68     inference(scs_inference,[],[19,24,15])).
% 0.20/0.68  cnf(41,plain,
% 0.20/0.68     (P3(x411,f2(x411))),
% 0.20/0.68     inference(rename_variables,[],[19])).
% 0.20/0.68  cnf(43,plain,
% 0.20/0.68     (P2(f4(f4(x431)),f4(f2(x431)))),
% 0.20/0.68     inference(scs_inference,[],[4,19,24,15,7])).
% 0.20/0.68  cnf(47,plain,
% 0.20/0.68     (~P1(f2(f2(a1)),a3)),
% 0.20/0.68     inference(scs_inference,[],[1,4,19,41,24,18,15,7,10,17])).
% 0.20/0.68  cnf(49,plain,
% 0.20/0.68     (P1(x491,x491)),
% 0.20/0.68     inference(rename_variables,[],[1])).
% 0.20/0.68  cnf(51,plain,
% 0.20/0.68     (~P1(f4(f2(a3)),f2(a1))),
% 0.20/0.68     inference(scs_inference,[],[1,49,6,2,4,19,41,24,18,15,7,10,17,16])).
% 0.20/0.68  cnf(55,plain,
% 0.20/0.68     (P2(f2(a1),f2(f4(a1)))),
% 0.20/0.68     inference(scs_inference,[],[1,49,6,2,4,19,41,24,18,15,7,10,17,16,9])).
% 0.20/0.68  cnf(57,plain,
% 0.20/0.68     (~P2(f2(f4(a1)),f4(f2(a3)))),
% 0.20/0.68     inference(scs_inference,[],[1,49,6,2,4,19,41,24,18,15,7,10,17,16,9,14])).
% 0.20/0.68  cnf(59,plain,
% 0.20/0.68     (~P3(f2(a1),f4(f2(a3)))),
% 0.20/0.68     inference(scs_inference,[],[6,7])).
% 0.20/0.68  cnf(62,plain,
% 0.20/0.68     (P1(x621,x621)),
% 0.20/0.68     inference(rename_variables,[],[1])).
% 0.20/0.68  cnf(65,plain,
% 0.20/0.68     (P1(x651,x651)),
% 0.20/0.68     inference(rename_variables,[],[1])).
% 0.20/0.68  cnf(67,plain,
% 0.20/0.68     (~P3(a1,f4(f2(a3)))),
% 0.20/0.68     inference(scs_inference,[],[6,27,40,22,1,62,7,17,16,9])).
% 0.20/0.68  cnf(71,plain,
% 0.20/0.68     (~P2(f2(a1),f4(f4(a3)))),
% 0.20/0.68     inference(scs_inference,[],[6,4,27,40,22,1,62,7,17,16,9,31,15])).
% 0.20/0.68  cnf(74,plain,
% 0.20/0.68     (P1(f2(a3),f2(a1))),
% 0.20/0.68     inference(scs_inference,[],[3,6,4,27,40,22,1,62,65,7,17,16,9,31,15,13])).
% 0.20/0.68  cnf(77,plain,
% 0.20/0.68     (~P2(f2(f2(a1)),f4(f2(a3)))),
% 0.20/0.68     inference(scs_inference,[],[3,6,4,27,40,22,1,62,65,7,17,16,9,31,15,13,10])).
% 0.20/0.68  cnf(81,plain,
% 0.20/0.68     (P2(x811,f2(x811))),
% 0.20/0.68     inference(scs_inference,[],[74,34,19,13,7])).
% 0.20/0.69  cnf(83,plain,
% 0.20/0.69     (P3(a1,f2(a3))),
% 0.20/0.69     inference(scs_inference,[],[3,74,34,19,1,13,7,17])).
% 0.20/0.69  cnf(84,plain,
% 0.20/0.69     (P1(x841,x841)),
% 0.20/0.69     inference(rename_variables,[],[1])).
% 0.20/0.69  cnf(87,plain,
% 0.20/0.69     (P2(f2(a3),f2(a1))),
% 0.20/0.69     inference(scs_inference,[],[2,3,74,34,19,1,84,13,7,17,16])).
% 0.20/0.69  cnf(93,plain,
% 0.20/0.69     (P2(f2(a1),f2(a3))),
% 0.20/0.69     inference(scs_inference,[],[2,3,74,34,19,1,84,13,7,17,16,10,9])).
% 0.20/0.69  cnf(95,plain,
% 0.20/0.69     (~P2(f2(f4(a1)),f4(f4(a3)))),
% 0.20/0.69     inference(scs_inference,[],[43,57,14])).
% 0.20/0.69  cnf(107,plain,
% 0.20/0.69     (P2(x1071,f2(x1071))),
% 0.20/0.69     inference(rename_variables,[],[81])).
% 0.20/0.69  cnf(109,plain,
% 0.20/0.69     (~P2(f2(f2(a1)),f4(f4(a3)))),
% 0.20/0.69     inference(scs_inference,[],[5,4,43,81,71,57,47,59,27,74,1,14,13,7,17,16,10])).
% 0.20/0.69  cnf(118,plain,
% 0.20/0.69     (P1(f2(f2(a3)),f2(f2(a1)))),
% 0.20/0.69     inference(scs_inference,[],[5,4,43,81,107,71,57,47,59,27,74,1,14,13,7,17,16,10,9,8,12,11])).
% 0.20/0.69  cnf(122,plain,
% 0.20/0.69     (P3(f2(a1),f2(f2(f4(a1))))),
% 0.20/0.69     inference(scs_inference,[],[19,55,87,14,15])).
% 0.20/0.69  cnf(130,plain,
% 0.20/0.69     (P3(x1301,f2(f2(x1301)))),
% 0.20/0.69     inference(scs_inference,[],[18,19,55,83,87,81,1,14,15,7,17,10])).
% 0.20/0.69  cnf(139,plain,
% 0.20/0.69     (~P3(a1,f4(f2(a1)))),
% 0.20/0.69     inference(scs_inference,[],[18,5,93,67,27,1,14,15,17])).
% 0.20/0.69  cnf(142,plain,
% 0.20/0.69     (~P3(f2(f2(a1)),f4(f2(a3)))),
% 0.20/0.69     inference(scs_inference,[],[18,5,93,77,67,27,1,14,15,17,7])).
% 0.20/0.69  cnf(159,plain,
% 0.20/0.69     (P2(x1591,f2(f2(x1591)))),
% 0.20/0.69     inference(scs_inference,[],[19,18,130,29,81,1,15,17,7])).
% 0.20/0.69  cnf(185,plain,
% 0.20/0.69     (P2(a1,f4(f4(a1)))),
% 0.20/0.69     inference(scs_inference,[],[5,24,159,118,109,95,142,122,87,4,27,1,15,14,9,17,16,7,8])).
% 0.20/0.69  cnf(209,plain,
% 0.20/0.69     ($false),
% 0.20/0.69     inference(scs_inference,[],[27,51,139,185,4,13,15]),
% 0.20/0.69     ['proof']).
% 0.20/0.69  % SZS output end Proof
% 0.20/0.69  % Total time :0.050000s
%------------------------------------------------------------------------------