TSTP Solution File: SYN347+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN347+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/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 01:45:20 EDT 2023
% Result : Theorem 0.18s 0.63s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN347+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/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 18:58:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.18/0.56 start to proof:theBenchmark
% 0.18/0.62 %-------------------------------------------
% 0.18/0.62 % File :CSE---1.6
% 0.18/0.62 % Problem :theBenchmark
% 0.18/0.62 % Transform :cnf
% 0.18/0.62 % Format :tptp:raw
% 0.18/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.18/0.62
% 0.18/0.62 % Result :Theorem 0.010000s
% 0.18/0.62 % Output :CNFRefutation 0.010000s
% 0.18/0.62 %-------------------------------------------
% 0.18/0.63 %--------------------------------------------------------------------------
% 0.18/0.63 % File : SYN347+1 : TPTP v8.1.2. Released v2.0.0.
% 0.18/0.63 % Domain : Syntactic
% 0.18/0.63 % Problem : Church problem 46.17 (3)
% 0.18/0.63 % Version : Especial.
% 0.18/0.63 % English :
% 0.18/0.63
% 0.18/0.63 % Refs : [Chu56] Church (1956), Introduction to Mathematical Logic I
% 0.18/0.63 % Source : [Chu56]
% 0.18/0.63 % Names : 46.17 (3) [Chu56]
% 0.18/0.63
% 0.18/0.63 % Status : Theorem
% 0.18/0.63 % Rating : 0.00 v5.5.0, 0.08 v5.4.0, 0.09 v5.3.0, 0.13 v5.2.0, 0.07 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.05 v4.0.0, 0.10 v3.7.0, 0.33 v3.5.0, 0.12 v3.4.0, 0.08 v3.3.0, 0.11 v3.2.0, 0.33 v3.1.0, 0.17 v2.7.0, 0.00 v2.5.0, 0.33 v2.4.0, 0.33 v2.2.1, 0.00 v2.1.0
% 0.18/0.63 % Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% 0.18/0.63 % Number of atoms : 5 ( 0 equ)
% 0.18/0.63 % Maximal formula atoms : 5 ( 5 avg)
% 0.18/0.63 % Number of connectives : 4 ( 0 ~; 1 |; 0 &)
% 0.18/0.63 % ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% 0.18/0.63 % Maximal formula depth : 9 ( 9 avg)
% 0.18/0.63 % Maximal term depth : 1 ( 1 avg)
% 0.18/0.63 % Number of predicates : 1 ( 1 usr; 0 prp; 2-2 aty)
% 0.18/0.63 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.18/0.63 % Number of variables : 5 ( 3 !; 2 ?)
% 0.18/0.63 % SPC : FOF_THM_RFO_NEQ
% 0.18/0.63
% 0.18/0.63 % Comments : In [Chu56] the variables Z1 and Z2 are not quantified.
% 0.18/0.63 % I have assumed universal quantification.
% 0.18/0.63 %--------------------------------------------------------------------------
% 0.18/0.63 fof(church_46_17_3,conjecture,
% 0.18/0.63 ! [Z1,Z2] :
% 0.18/0.63 ? [X1,X2] :
% 0.18/0.63 ! [Y] :
% 0.18/0.63 ( ( ( big_f(X1,Y)
% 0.18/0.63 <=> big_f(X2,Y) )
% 0.18/0.63 <=> big_f(Z1,Z2) )
% 0.18/0.63 | ( big_f(Z1,Y)
% 0.18/0.63 <=> big_f(Z2,Y) ) ) ).
% 0.18/0.63
% 0.18/0.63 %--------------------------------------------------------------------------
% 0.18/0.63 %-------------------------------------------
% 0.18/0.63 % Proof found
% 0.18/0.63 % SZS status Theorem for theBenchmark
% 0.18/0.63 % SZS output start Proof
% 0.18/0.63 %ClaNum:6(EqnAxiom:0)
% 0.18/0.63 %VarNum:32(SingletonVarNum:12)
% 0.18/0.63 %MaxLitNum:3
% 0.18/0.63 %MaxfuncDepth:1
% 0.18/0.63 %SharedTerms:4
% 0.18/0.63 %goalClause: 1 2 3 4 5 6
% 0.18/0.63 [1]P1(a1,f2(x11,x12))+P1(a3,f2(x11,x12))
% 0.18/0.63 [5]~P1(a1,f2(x51,x52))+~P1(a3,f2(x51,x52))
% 0.18/0.63 [2]P1(x21,f2(x22,x21))+P1(x22,f2(x22,x21))+~P1(a1,a3)
% 0.18/0.63 [3]P1(x31,f2(x31,x32))+~P1(x32,f2(x31,x32))+P1(a1,a3)
% 0.18/0.63 [4]P1(a1,a3)+P1(x41,f2(x42,x41))+~P1(x42,f2(x42,x41))
% 0.18/0.63 [6]~P1(a1,a3)+~P1(x61,f2(x62,x61))+~P1(x62,f2(x62,x61))
% 0.18/0.63 %EqnAxiom
% 0.18/0.63
% 0.18/0.63 %-------------------------------------------
% 0.18/0.63 cnf(9,plain,
% 0.18/0.63 (~P1(x91,f2(a1,x91))+P1(a1,a3)+~P1(a3,f2(a1,x91))),
% 0.18/0.63 inference(scs_inference,[],[3,5])).
% 0.18/0.63 cnf(13,plain,
% 0.18/0.63 (P1(a1,a3)+P1(a1,f2(a1,a3))),
% 0.18/0.63 inference(scs_inference,[],[1,9])).
% 0.18/0.63 cnf(14,plain,
% 0.18/0.63 (P1(a1,a3)+~P1(a3,f2(a1,a3))),
% 0.18/0.63 inference(scs_inference,[],[13,5])).
% 0.18/0.63 cnf(15,plain,
% 0.18/0.63 (P1(a1,a3)+~P1(a1,f2(a1,a3))),
% 0.18/0.63 inference(scs_inference,[],[14,4])).
% 0.18/0.63 cnf(16,plain,
% 0.18/0.63 (P1(x161,f2(x162,x161))+P1(x162,f2(x162,x161))+~P1(a1,f2(a1,a3))),
% 0.18/0.63 inference(scs_inference,[],[15,2])).
% 0.18/0.63 cnf(17,plain,
% 0.18/0.63 (P1(x171,f2(a1,x171))+~P1(a1,f2(a1,a3))+~P1(a3,f2(a1,x171))),
% 0.18/0.63 inference(scs_inference,[],[16,5])).
% 0.18/0.63 cnf(18,plain,
% 0.18/0.63 (P1(x181,f2(a1,x181))+~P1(a3,f2(a1,x181))+P1(a3,f2(a1,a3))),
% 0.18/0.63 inference(scs_inference,[],[17,1])).
% 0.18/0.63 cnf(21,plain,
% 0.18/0.63 (P1(a1,f2(a1,a3))+P1(x211,f2(x212,x211))+P1(x212,f2(x212,x211))),
% 0.18/0.63 inference(scs_inference,[],[13,2])).
% 0.18/0.63 cnf(22,plain,
% 0.18/0.63 (P1(a3,f2(a1,a3))+P1(a1,a3)),
% 0.18/0.63 inference(scs_inference,[],[21,15])).
% 0.18/0.63 cnf(23,plain,
% 0.18/0.63 (P1(a1,a3)),
% 0.18/0.63 inference(scs_inference,[],[22,9])).
% 0.18/0.63 cnf(24,plain,
% 0.18/0.63 (P1(x241,f2(x242,x241))+P1(x242,f2(x242,x241))),
% 0.18/0.63 inference(scs_inference,[],[23,2])).
% 0.18/0.63 cnf(25,plain,
% 0.18/0.63 (~P1(x251,f2(x251,x252))+~P1(x252,f2(x251,x252))),
% 0.18/0.63 inference(scs_inference,[],[23,6])).
% 0.18/0.63 cnf(28,plain,
% 0.18/0.63 (~P1(x281,f2(a1,x281))+P1(a3,f2(a1,x281))),
% 0.18/0.63 inference(scs_inference,[],[1,25])).
% 0.18/0.63 cnf(29,plain,
% 0.18/0.63 (P1(a3,f2(a1,a1))),
% 0.18/0.63 inference(scs_inference,[],[28,24])).
% 0.18/0.63 cnf(37,plain,
% 0.18/0.63 ($false),
% 0.18/0.63 inference(scs_inference,[],[29,5,18,17,24]),
% 0.18/0.63 ['proof']).
% 0.18/0.63 % SZS output end Proof
% 0.18/0.63 % Total time :0.010000s
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