TSTP Solution File: SYN097-1.002 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SYN097-1.002 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d

% Computer : n005.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 01:44:11 EDT 2023

% Result   : Unsatisfiable 0.20s 0.64s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN097-1.002 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34  % Computer : n005.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 21:53:08 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.56  start to proof:theBenchmark
% 0.20/0.62  %-------------------------------------------
% 0.20/0.62  % File        :CSE---1.6
% 0.20/0.62  % Problem     :theBenchmark
% 0.20/0.62  % Transform   :cnf
% 0.20/0.62  % Format      :tptp:raw
% 0.20/0.62  % Command     :java -jar mcs_scs.jar %d %s
% 0.20/0.62  
% 0.20/0.62  % Result      :Theorem 0.000000s
% 0.20/0.62  % Output      :CNFRefutation 0.000000s
% 0.20/0.62  %-------------------------------------------
% 0.20/0.63  %--------------------------------------------------------------------------
% 0.20/0.63  % File     : SYN097-1.002 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.20/0.63  % Domain   : Syntactic
% 0.20/0.63  % Problem  : Plaisted problem sym(u(t(2,2)))
% 0.20/0.63  % Version  : Biased.
% 0.20/0.63  % English  :
% 0.20/0.63  
% 0.20/0.63  % Refs     : [Pla94] Plaisted (1994), The Search Efficiency of Theorem Prov
% 0.20/0.63  % Source   : [Pla94]
% 0.20/0.63  % Names    : Sym(U(T2n)) [Pla94]
% 0.20/0.63  
% 0.20/0.63  % Status   : Unsatisfiable
% 0.20/0.63  % Rating   : 0.33 v5.5.0, 0.00 v2.1.0
% 0.20/0.63  % Syntax   : Number of clauses     :   52 (   2 unt;  16 nHn;  52 RR)
% 0.20/0.63  %            Number of literals    :  126 (   0 equ;  63 neg)
% 0.20/0.63  %            Maximal clause size   :    4 (   2 avg)
% 0.20/0.63  %            Maximal term depth    :    0 (   0 avg)
% 0.20/0.63  %            Number of predicates  :   38 (  38 usr;  38 prp; 0-0 aty)
% 0.20/0.63  %            Number of functors    :    0 (   0 usr;   0 con; --- aty)
% 0.20/0.63  %            Number of variables   :    0 (   0 sgn)
% 0.20/0.63  % SPC      : CNF_UNS_PRP
% 0.20/0.63  
% 0.20/0.63  % Comments : Biased away from various calculi.
% 0.20/0.63  %          : tptp2X: -f tptp -s2 SYN097-1.g
% 0.20/0.63  % Bugfixes : v1.2.0 - Bugfix in SYN086-1.
% 0.20/0.63  %          : v1.2.1 - Bugfix in SYN086-1.
% 0.20/0.63  %--------------------------------------------------------------------------
% 0.20/0.63  cnf(u_s2_goal_1,negated_conjecture,
% 0.20/0.63      ( u_1
% 0.20/0.63      | ~ p_1_2 ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(u_1_s2_goal_1,axiom,
% 0.20/0.63      ~ u_1 ).
% 0.20/0.63  
% 0.20/0.63  cnf(u_s2_type11_1,axiom,
% 0.20/0.63      ( u_2
% 0.20/0.63      | p_1_2
% 0.20/0.63      | ~ p_2_2
% 0.20/0.63      | ~ p_1_1 ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(u_2_s2_type11_1,axiom,
% 0.20/0.63      ( p_1_2
% 0.20/0.63      | ~ u_2 ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(u_s2_type11_2,axiom,
% 0.20/0.63      ( u_3
% 0.20/0.63      | p_1_2
% 0.20/0.63      | ~ q_2_2
% 0.20/0.63      | ~ q_1_1 ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(u_3_s2_type11_2,axiom,
% 0.20/0.63      ( p_1_2
% 0.20/0.63      | ~ u_3 ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(u_s2_type12_1,axiom,
% 0.20/0.63      ( u_4
% 0.20/0.63      | q_1_2
% 0.20/0.63      | ~ p_2_2
% 0.20/0.63      | ~ q_1_1 ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(u_4_s2_type12_1,axiom,
% 0.20/0.63      ( q_1_2
% 0.20/0.63      | ~ u_4 ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(u_s2_type12_2,axiom,
% 0.20/0.63      ( u_5
% 0.20/0.63      | q_1_2
% 0.20/0.63      | ~ q_2_2
% 0.20/0.63      | ~ p_1_1 ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(u_5_s2_type12_2,axiom,
% 0.20/0.63      ( q_1_2
% 0.20/0.63      | ~ u_5 ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(u_s2_type21_1,axiom,
% 0.20/0.63      ( u_6
% 0.20/0.63      | p_1_1
% 0.20/0.63      | ~ p_1_2 ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(u_6_s2_type21_1,axiom,
% 0.20/0.63      ( p_1_1
% 0.20/0.63      | ~ u_6 ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(u_s2_type21_2,axiom,
% 0.20/0.63      ( u_7
% 0.20/0.63      | q_1_1
% 0.20/0.63      | ~ q_1_2 ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(u_7_s2_type21_2,axiom,
% 0.20/0.63      ( q_1_1
% 0.20/0.63      | ~ u_7 ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(u_s2_type22_1,axiom,
% 0.20/0.63      ( u_8
% 0.20/0.63      | p_2_2
% 0.20/0.63      | ~ p_1_2 ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(u_8_s2_type22_1,axiom,
% 0.20/0.63      ( p_2_2
% 0.20/0.63      | ~ u_8 ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(u_s2_type22_2,axiom,
% 0.20/0.63      ( u_9
% 0.20/0.63      | q_2_2
% 0.20/0.63      | ~ q_1_2 ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(u_9_s2_type22_2,axiom,
% 0.20/0.63      ( q_2_2
% 0.20/0.63      | ~ u_9 ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(u_t2_1,axiom,
% 0.20/0.63      ( u_10
% 0.20/0.63      | p_1_1 ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(u_10_t2_1,axiom,
% 0.20/0.63      ( p_1_1
% 0.20/0.63      | ~ u_10 ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(u_t2_2,axiom,
% 0.20/0.63      ( u_11
% 0.20/0.63      | q_1_1 ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(u_11_t2_2,axiom,
% 0.20/0.63      ( q_1_1
% 0.20/0.63      | ~ u_11 ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(u_t2_3,axiom,
% 0.20/0.63      ( u_12
% 0.20/0.63      | p_2_2 ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(u_12_t2_3,axiom,
% 0.20/0.63      ( p_2_2
% 0.20/0.63      | ~ u_12 ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(u_t2_4,axiom,
% 0.20/0.63      ( u_13
% 0.20/0.63      | q_2_2 ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(u_13_t2_4,axiom,
% 0.20/0.63      ( q_2_2
% 0.20/0.63      | ~ u_13 ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(sym_u_s2_goal_1,axiom,
% 0.20/0.63      ( ~ sym_u_1
% 0.20/0.63      | sym_p_1_2 ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(sym_u_1_s2_goal_1,axiom,
% 0.20/0.63      sym_u_1 ).
% 0.20/0.63  
% 0.20/0.63  cnf(sym_u_s2_type11_1,axiom,
% 0.20/0.63      ( ~ sym_u_2
% 0.20/0.63      | ~ sym_p_1_2
% 0.20/0.63      | sym_p_2_2
% 0.20/0.63      | sym_p_1_1 ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(sym_u_2_s2_type11_1,axiom,
% 0.20/0.63      ( ~ sym_p_1_2
% 0.20/0.63      | sym_u_2 ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(sym_u_s2_type11_2,axiom,
% 0.20/0.63      ( ~ sym_u_3
% 0.20/0.63      | ~ sym_p_1_2
% 0.20/0.63      | sym_q_2_2
% 0.20/0.63      | sym_q_1_1 ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(sym_u_3_s2_type11_2,axiom,
% 0.20/0.63      ( ~ sym_p_1_2
% 0.20/0.63      | sym_u_3 ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(sym_u_s2_type12_1,axiom,
% 0.20/0.63      ( ~ sym_u_4
% 0.20/0.63      | ~ sym_q_1_2
% 0.20/0.63      | sym_p_2_2
% 0.20/0.63      | sym_q_1_1 ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(sym_u_4_s2_type12_1,axiom,
% 0.20/0.63      ( ~ sym_q_1_2
% 0.20/0.63      | sym_u_4 ) ).
% 0.20/0.63  
% 0.20/0.63  cnf(sym_u_s2_type12_2,axiom,
% 0.20/0.63      ( ~ sym_u_5
% 0.20/0.63      | ~ sym_q_1_2
% 0.20/0.64      | sym_q_2_2
% 0.20/0.64      | sym_p_1_1 ) ).
% 0.20/0.64  
% 0.20/0.64  cnf(sym_u_5_s2_type12_2,axiom,
% 0.20/0.64      ( ~ sym_q_1_2
% 0.20/0.64      | sym_u_5 ) ).
% 0.20/0.64  
% 0.20/0.64  cnf(sym_u_s2_type21_1,axiom,
% 0.20/0.64      ( ~ sym_u_6
% 0.20/0.64      | ~ sym_p_1_1
% 0.20/0.64      | sym_p_1_2 ) ).
% 0.20/0.64  
% 0.20/0.64  cnf(sym_u_6_s2_type21_1,axiom,
% 0.20/0.64      ( ~ sym_p_1_1
% 0.20/0.64      | sym_u_6 ) ).
% 0.20/0.64  
% 0.20/0.64  cnf(sym_u_s2_type21_2,axiom,
% 0.20/0.64      ( ~ sym_u_7
% 0.20/0.64      | ~ sym_q_1_1
% 0.20/0.64      | sym_q_1_2 ) ).
% 0.20/0.64  
% 0.20/0.64  cnf(sym_u_7_s2_type21_2,axiom,
% 0.20/0.64      ( ~ sym_q_1_1
% 0.20/0.64      | sym_u_7 ) ).
% 0.20/0.64  
% 0.20/0.64  cnf(sym_u_s2_type22_1,axiom,
% 0.20/0.64      ( ~ sym_u_8
% 0.20/0.64      | ~ sym_p_2_2
% 0.20/0.64      | sym_p_1_2 ) ).
% 0.20/0.64  
% 0.20/0.64  cnf(sym_u_8_s2_type22_1,axiom,
% 0.20/0.64      ( ~ sym_p_2_2
% 0.20/0.64      | sym_u_8 ) ).
% 0.20/0.64  
% 0.20/0.64  cnf(sym_u_s2_type22_2,axiom,
% 0.20/0.64      ( ~ sym_u_9
% 0.20/0.64      | ~ sym_q_2_2
% 0.20/0.64      | sym_q_1_2 ) ).
% 0.20/0.64  
% 0.20/0.64  cnf(sym_u_9_s2_type22_2,axiom,
% 0.20/0.64      ( ~ sym_q_2_2
% 0.20/0.64      | sym_u_9 ) ).
% 0.20/0.64  
% 0.20/0.64  cnf(sym_u_t2_1,axiom,
% 0.20/0.64      ( ~ sym_u_10
% 0.20/0.64      | ~ sym_p_1_1 ) ).
% 0.20/0.64  
% 0.20/0.64  cnf(sym_u_10_t2_1,axiom,
% 0.20/0.64      ( ~ sym_p_1_1
% 0.20/0.64      | sym_u_10 ) ).
% 0.20/0.64  
% 0.20/0.64  cnf(sym_u_t2_2,axiom,
% 0.20/0.64      ( ~ sym_u_11
% 0.20/0.64      | ~ sym_q_1_1 ) ).
% 0.20/0.64  
% 0.20/0.64  cnf(sym_u_11_t2_2,axiom,
% 0.20/0.64      ( ~ sym_q_1_1
% 0.20/0.64      | sym_u_11 ) ).
% 0.20/0.64  
% 0.20/0.64  cnf(sym_u_t2_3,axiom,
% 0.20/0.64      ( ~ sym_u_12
% 0.20/0.64      | ~ sym_p_2_2 ) ).
% 0.20/0.64  
% 0.20/0.64  cnf(sym_u_12_t2_3,axiom,
% 0.20/0.64      ( ~ sym_p_2_2
% 0.20/0.64      | sym_u_12 ) ).
% 0.20/0.64  
% 0.20/0.64  cnf(sym_u_t2_4,axiom,
% 0.20/0.64      ( ~ sym_u_13
% 0.20/0.64      | ~ sym_q_2_2 ) ).
% 0.20/0.64  
% 0.20/0.64  cnf(sym_u_13_t2_4,axiom,
% 0.20/0.64      ( ~ sym_q_2_2
% 0.20/0.64      | sym_u_13 ) ).
% 0.20/0.64  
% 0.20/0.64  %--------------------------------------------------------------------------
% 0.20/0.64  %-------------------------------------------
% 0.20/0.64  % Proof found
% 0.20/0.64  % SZS status Theorem for theBenchmark
% 0.20/0.64  % SZS output start Proof
% 0.20/0.64  %ClaNum:52(EqnAxiom:0)
% 0.20/0.64  %VarNum:0(SingletonVarNum:0)
% 0.20/0.64  %MaxLitNum:4
% 0.20/0.64  %MaxfuncDepth:0
% 0.20/0.64  %SharedTerms:77
% 0.20/0.64  %goalClause: 7
% 0.20/0.64  [1]P1(a500)
% 0.20/0.64  [2]~P14(a500)
% 0.20/0.64  [3]P2(a500)+P27(a500)
% 0.20/0.64  [4]P3(a500)+P28(a500)
% 0.20/0.64  [5]P5(a500)+P30(a500)
% 0.20/0.64  [6]P6(a500)+P29(a500)
% 0.20/0.64  [7]P14(a500)+~P4(a500)
% 0.20/0.64  [8]P4(a500)+~P31(a500)
% 0.20/0.64  [9]P4(a500)+~P32(a500)
% 0.20/0.64  [10]P2(a500)+~P33(a500)
% 0.20/0.64  [11]P2(a500)+~P27(a500)
% 0.20/0.64  [12]P3(a500)+~P34(a500)
% 0.20/0.64  [13]P3(a500)+~P28(a500)
% 0.20/0.64  [14]P5(a500)+~P38(a500)
% 0.20/0.64  [15]P5(a500)+~P30(a500)
% 0.20/0.64  [16]P6(a500)+~P37(a500)
% 0.20/0.64  [17]P6(a500)+~P29(a500)
% 0.20/0.64  [18]P7(a500)+~P35(a500)
% 0.20/0.64  [19]P7(a500)+~P36(a500)
% 0.20/0.64  [20]P8(a500)+~P1(a500)
% 0.20/0.64  [21]P15(a500)+~P8(a500)
% 0.20/0.64  [22]P20(a500)+~P8(a500)
% 0.20/0.64  [23]P21(a500)+~P10(a500)
% 0.20/0.64  [24]P22(a500)+~P10(a500)
% 0.20/0.64  [25]P23(a500)+~P9(a500)
% 0.20/0.64  [26]P24(a500)+~P11(a500)
% 0.20/0.64  [27]P25(a500)+~P12(a500)
% 0.20/0.64  [28]P26(a500)+~P13(a500)
% 0.20/0.64  [29]P16(a500)+~P9(a500)
% 0.20/0.64  [30]P17(a500)+~P11(a500)
% 0.20/0.64  [31]P18(a500)+~P12(a500)
% 0.20/0.64  [32]P19(a500)+~P13(a500)
% 0.20/0.64  [33]~P12(a500)+~P18(a500)
% 0.20/0.64  [34]~P9(a500)+~P16(a500)
% 0.20/0.64  [35]~P13(a500)+~P19(a500)
% 0.20/0.64  [36]~P11(a500)+~P17(a500)
% 0.20/0.64  [37]P2(a500)+P33(a500)+~P4(a500)
% 0.20/0.64  [38]P3(a500)+P34(a500)+~P4(a500)
% 0.20/0.64  [39]P5(a500)+P38(a500)+~P7(a500)
% 0.20/0.64  [40]P6(a500)+P37(a500)+~P7(a500)
% 0.20/0.64  [41]P8(a500)+~P12(a500)+~P25(a500)
% 0.20/0.64  [42]P8(a500)+~P9(a500)+~P23(a500)
% 0.20/0.64  [43]P10(a500)+~P13(a500)+~P26(a500)
% 0.20/0.64  [44]P10(a500)+~P11(a500)+~P24(a500)
% 0.20/0.64  [45]P4(a500)+P31(a500)+~P2(a500)+~P3(a500)
% 0.20/0.64  [46]P4(a500)+P32(a500)+~P5(a500)+~P6(a500)
% 0.20/0.64  [47]P35(a500)+P7(a500)+~P2(a500)+~P6(a500)
% 0.20/0.64  [48]P7(a500)+P36(a500)+~P3(a500)+~P5(a500)
% 0.20/0.64  [49]P12(a500)+P9(a500)+~P8(a500)+~P15(a500)
% 0.20/0.64  [50]P12(a500)+P11(a500)+~P21(a500)+~P10(a500)
% 0.20/0.64  [51]P9(a500)+P13(a500)+~P10(a500)+~P22(a500)
% 0.20/0.64  [52]P13(a500)+P11(a500)+~P8(a500)+~P20(a500)
% 0.20/0.64  %EqnAxiom
% 0.20/0.64  
% 0.20/0.64  %-------------------------------------------
% 0.20/0.64  cnf(53,plain,
% 0.20/0.64     (~P4(a500)),
% 0.20/0.64     inference(scs_inference,[],[2,7])).
% 0.20/0.64  cnf(54,plain,
% 0.20/0.64     (~P31(a500)),
% 0.20/0.64     inference(scs_inference,[],[53,8])).
% 0.20/0.64  cnf(56,plain,
% 0.20/0.64     (~P2(a500)+~P3(a500)+P31(a500)),
% 0.20/0.64     inference(scs_inference,[],[53,45])).
% 0.20/0.64  cnf(58,plain,
% 0.20/0.64     (~P2(a500)+~P3(a500)),
% 0.20/0.64     inference(scs_inference,[],[54,56])).
% 0.20/0.64  cnf(60,plain,
% 0.20/0.64     (P27(a500)+~P3(a500)),
% 0.20/0.64     inference(scs_inference,[],[3,58])).
% 0.20/0.64  cnf(61,plain,
% 0.20/0.64     (P28(a500)+P27(a500)),
% 0.20/0.64     inference(scs_inference,[],[4,60])).
% 0.20/0.64  cnf(65,plain,
% 0.20/0.64     (~P27(a500)+~P3(a500)),
% 0.20/0.64     inference(scs_inference,[],[11,58])).
% 0.20/0.64  cnf(67,plain,
% 0.20/0.64     (~P28(a500)+P27(a500)),
% 0.20/0.64     inference(scs_inference,[],[13,60])).
% 0.20/0.64  cnf(74,plain,
% 0.20/0.64     (P27(a500)),
% 0.20/0.64     inference(scs_inference,[],[61,67])).
% 0.20/0.64  cnf(76,plain,
% 0.20/0.64     (~P3(a500)),
% 0.20/0.64     inference(scs_inference,[],[74,65])).
% 0.20/0.64  cnf(77,plain,
% 0.20/0.64     (P28(a500)),
% 0.20/0.64     inference(scs_inference,[],[76,4])).
% 0.20/0.64  cnf(79,plain,
% 0.20/0.64     (~P28(a500)),
% 0.20/0.64     inference(scs_inference,[],[76,13])).
% 0.20/0.64  cnf(83,plain,
% 0.20/0.64     ($false),
% 0.20/0.64     inference(scs_inference,[],[77,79]),
% 0.20/0.64     ['proof']).
% 0.20/0.64  % SZS output end Proof
% 0.20/0.64  % Total time :0.000000s
%------------------------------------------------------------------------------