TSTP Solution File: SYN354+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN354+1 : TPTP v8.1.2. Released v2.0.0.
% 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 01:45:23 EDT 2023
% Result : Theorem 0.19s 0.62s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN354+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.13 % 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 21:28:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 % File :CSE---1.6
% 0.19/0.61 % Problem :theBenchmark
% 0.19/0.61 % Transform :cnf
% 0.19/0.61 % Format :tptp:raw
% 0.19/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.61
% 0.19/0.61 % Result :Theorem 0.000000s
% 0.19/0.61 % Output :CNFRefutation 0.000000s
% 0.19/0.61 %-------------------------------------------
% 0.19/0.62 %--------------------------------------------------------------------------
% 0.19/0.62 % File : SYN354+1 : TPTP v8.1.2. Released v2.0.0.
% 0.19/0.62 % Domain : Syntactic
% 0.19/0.62 % Problem : Church problem 46.20 (1)
% 0.19/0.62 % Version : Especial.
% 0.19/0.62 % English :
% 0.19/0.62
% 0.19/0.62 % Refs : [Chu56] Church (1956), Introduction to Mathematical Logic I
% 0.19/0.62 % Source : [Chu56]
% 0.19/0.62 % Names : 46.20 (1) [Chu56]
% 0.19/0.62
% 0.19/0.62 % Status : Theorem
% 0.19/0.62 % Rating : 0.00 v5.5.0, 0.04 v5.3.0, 0.17 v5.2.0, 0.07 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.05 v3.7.0, 0.33 v3.5.0, 0.12 v3.4.0, 0.08 v3.3.0, 0.00 v3.2.0, 0.22 v3.1.0, 0.00 v2.5.0, 0.33 v2.4.0, 0.33 v2.2.1, 0.00 v2.1.0
% 0.19/0.62 % Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% 0.19/0.62 % Number of atoms : 11 ( 0 equ)
% 0.19/0.62 % Maximal formula atoms : 11 ( 11 avg)
% 0.19/0.62 % Number of connectives : 10 ( 0 ~; 0 |; 2 &)
% 0.19/0.62 % ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% 0.19/0.62 % Maximal formula depth : 12 ( 12 avg)
% 0.19/0.62 % Maximal term depth : 1 ( 1 avg)
% 0.19/0.62 % Number of predicates : 2 ( 2 usr; 0 prp; 2-2 aty)
% 0.19/0.62 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.19/0.62 % Number of variables : 5 ( 3 !; 2 ?)
% 0.19/0.62 % SPC : FOF_THM_RFO_NEQ
% 0.19/0.62
% 0.19/0.62 % Comments :
% 0.19/0.62 %--------------------------------------------------------------------------
% 0.19/0.62 fof(church_46_20_1,conjecture,
% 0.19/0.62 ! [X1,X2] :
% 0.19/0.62 ? [Y1,Y2] :
% 0.19/0.62 ! [Z] :
% 0.19/0.62 ( big_f(X1,X2)
% 0.19/0.62 => ( big_g(X1,X2)
% 0.19/0.62 => ( ( ( big_g(X2,Z)
% 0.19/0.62 <=> big_g(Y2,Z) )
% 0.19/0.62 => ( big_f(Y1,Y2)
% 0.19/0.62 => big_f(X2,Y2) ) )
% 0.19/0.62 => ( ( big_g(X2,Z)
% 0.19/0.62 <=> big_g(Y1,Z) )
% 0.19/0.62 => ( big_f(X1,Y1)
% 0.19/0.62 & big_f(X2,Y1)
% 0.19/0.62 & big_f(Y1,Y2) ) ) ) ) ) ).
% 0.19/0.62
% 0.19/0.62 %--------------------------------------------------------------------------
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 % Proof found
% 0.19/0.62 % SZS status Theorem for theBenchmark
% 0.19/0.62 % SZS output start Proof
% 0.19/0.62 %ClaNum:7(EqnAxiom:0)
% 0.19/0.62 %VarNum:30(SingletonVarNum:10)
% 0.19/0.62 %MaxLitNum:4
% 0.19/0.62 %MaxfuncDepth:1
% 0.19/0.62 %SharedTerms:4
% 0.19/0.62 %goalClause: 1 2 3 4 5 6 7
% 0.19/0.62 %singleGoalClaCount:2
% 0.19/0.62 [1]P1(a1,a2)
% 0.19/0.62 [2]P2(a1,a2)
% 0.19/0.62 [4]P2(x41,f3(x41,x42))+~P2(a2,f3(x41,x42))
% 0.19/0.62 [5]~P2(x51,f3(x51,x52))+P2(a2,f3(x51,x52))
% 0.19/0.62 [3]~P1(x31,x32)+~P1(a1,x31)+~P1(a2,x31)
% 0.19/0.62 [6]~P1(x62,x61)+P2(x61,f3(x62,x61))+P1(a2,x61)+P2(a2,f3(x62,x61))
% 0.19/0.62 [7]~P1(x72,x71)+~P2(x71,f3(x72,x71))+P1(a2,x71)+~P2(a2,f3(x72,x71))
% 0.19/0.62 %EqnAxiom
% 0.19/0.62
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 cnf(11,plain,
% 0.19/0.62 (~P1(a2,x111)+~P1(a2,a2)),
% 0.19/0.62 inference(scs_inference,[],[1,3])).
% 0.19/0.62 cnf(12,plain,
% 0.19/0.62 (~P1(a2,a2)),
% 0.19/0.62 inference(factoring_inference,[],[11])).
% 0.19/0.62 cnf(14,plain,
% 0.19/0.62 ($false),
% 0.19/0.62 inference(scs_inference,[],[12,1,7,6]),
% 0.19/0.62 ['proof']).
% 0.19/0.62 % SZS output end Proof
% 0.19/0.63 % Total time :0.000000s
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