TSTP Solution File: SYN328+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN328+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 : n012.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 01:45:13 EDT 2023
% Result : Theorem 1.90s 2.01s
% Output : CNFRefutation 1.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN328+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.15/0.33 % Computer : n012.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Sat Aug 26 21:12:55 EDT 2023
% 0.15/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 1.90/2.00 %-------------------------------------------
% 1.90/2.00 % File :CSE---1.6
% 1.90/2.00 % Problem :theBenchmark
% 1.90/2.00 % Transform :cnf
% 1.90/2.00 % Format :tptp:raw
% 1.90/2.00 % Command :java -jar mcs_scs.jar %d %s
% 1.90/2.00
% 1.90/2.00 % Result :Theorem 1.390000s
% 1.90/2.00 % Output :CNFRefutation 1.390000s
% 1.90/2.00 %-------------------------------------------
% 1.90/2.01 %--------------------------------------------------------------------------
% 1.90/2.01 % File : SYN328+1 : TPTP v8.1.2. Released v2.0.0.
% 1.90/2.01 % Domain : Syntactic
% 1.90/2.01 % Problem : Church problem 46.12 (3)
% 1.90/2.01 % Version : Especial.
% 1.90/2.01 % English :
% 1.90/2.01
% 1.90/2.01 % Refs : [Chu56] Church (1956), Introduction to Mathematical Logic I
% 1.90/2.01 % Source : [Chu56]
% 1.90/2.01 % Names : 46.12 (3) [Chu56]
% 1.90/2.01
% 1.90/2.01 % Status : Theorem
% 1.90/2.01 % Rating : 0.00 v5.5.0, 0.04 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
% 1.90/2.01 % Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% 1.90/2.01 % Number of atoms : 13 ( 0 equ)
% 1.90/2.01 % Maximal formula atoms : 13 ( 13 avg)
% 1.90/2.01 % Number of connectives : 12 ( 0 ~; 0 |; 2 &)
% 1.90/2.01 % ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% 1.90/2.01 % Maximal formula depth : 10 ( 10 avg)
% 1.90/2.01 % Maximal term depth : 1 ( 1 avg)
% 1.90/2.01 % Number of predicates : 3 ( 3 usr; 0 prp; 1-1 aty)
% 1.90/2.01 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 1.90/2.01 % Number of variables : 3 ( 2 !; 1 ?)
% 1.90/2.01 % SPC : FOF_THM_RFO_NEQ
% 1.90/2.01
% 1.90/2.01 % Comments :
% 1.90/2.01 %--------------------------------------------------------------------------
% 1.90/2.01 fof(church_46_12_3,conjecture,
% 1.90/2.01 ? [X] :
% 1.90/2.01 ! [Y,Z] :
% 1.90/2.01 ( ( ( big_f(Y)
% 1.90/2.01 => big_g(Y) )
% 1.90/2.01 <=> big_f(X) )
% 1.90/2.01 => ( ( ( big_f(Y)
% 1.90/2.01 => big_h(Y) )
% 1.90/2.01 <=> big_g(X) )
% 1.90/2.01 => ( ( ( ( big_f(Y)
% 1.90/2.01 => big_g(Y) )
% 1.90/2.01 => big_h(Y) )
% 1.90/2.01 <=> big_h(X) )
% 1.90/2.01 => ( big_f(Z)
% 1.90/2.01 & big_g(Z)
% 1.90/2.01 & big_h(Z) ) ) ) ) ).
% 1.90/2.01
% 1.90/2.01 %--------------------------------------------------------------------------
% 1.90/2.01 %-------------------------------------------
% 1.90/2.01 % Proof found
% 1.90/2.01 % SZS status Theorem for theBenchmark
% 1.90/2.01 % SZS output start Proof
% 1.90/2.01 %ClaNum:11(EqnAxiom:0)
% 1.90/2.01 %VarNum:28(SingletonVarNum:11)
% 1.90/2.01 %MaxLitNum:3
% 1.90/2.01 %MaxfuncDepth:1
% 1.90/2.01 %SharedTerms:0
% 1.90/2.01 %goalClause: 1 2 3 4 5 6 7 8 9 10 11
% 1.90/2.01 [1]P1(x11)+P1(f1(x11))
% 1.90/2.01 [2]P2(x21)+P1(f1(x21))
% 1.90/2.01 [3]P1(x31)+~P2(f1(x31))
% 1.90/2.01 [4]P2(x41)+~P3(f1(x41))
% 1.90/2.01 [5]P3(x51)+~P3(f1(x51))
% 1.90/2.01 [6]~P3(x61)+P1(f1(x61))+P3(f1(x61))
% 1.90/2.01 [7]P3(x71)+P2(f1(x71))+~P1(f1(x71))
% 1.90/2.01 [8]~P1(x81)+P2(f1(x81))+~P1(f1(x81))
% 1.90/2.01 [9]~P2(x91)+P3(f1(x91))+~P1(f1(x91))
% 1.90/2.01 [10]~P3(x101)+P3(f1(x101))+~P2(f1(x101))
% 1.90/2.01 [11]~P2(f3(x111))+~P3(f4(x111))+~P1(f2(x111))
% 1.90/2.01 %EqnAxiom
% 1.90/2.01
% 1.90/2.01 %-------------------------------------------
% 1.90/2.01 cnf(18,plain,
% 1.90/2.01 (P3(x181)+P1(x181)+~P1(f1(x181))),
% 1.90/2.01 inference(scs_inference,[],[7,3])).
% 1.90/2.01 cnf(22,plain,
% 1.90/2.01 (~P1(f2(x221))+~P3(f1(f4(x221)))+~P2(f3(x221))),
% 1.90/2.01 inference(scs_inference,[],[11,5])).
% 1.90/2.01 cnf(30,plain,
% 1.90/2.01 (P1(x301)+P3(x301)),
% 1.90/2.01 inference(scs_inference,[],[1,18])).
% 1.90/2.01 cnf(31,plain,
% 1.90/2.01 (P1(f1(x311))+P3(x311)),
% 1.90/2.01 inference(scs_inference,[],[30,5])).
% 1.90/2.01 cnf(39,plain,
% 1.90/2.01 (P3(f1(x391))+~P1(x391)+P2(f1(x391))),
% 1.90/2.01 inference(scs_inference,[],[30,8])).
% 1.90/2.01 cnf(71,plain,
% 1.90/2.01 (~P3(f1(f4(x711)))+~P1(f2(x711))+P1(f1(f3(x711)))),
% 1.90/2.01 inference(scs_inference,[],[2,22])).
% 1.90/2.01 cnf(72,plain,
% 1.90/2.01 (P1(f1(f3(x721)))+~P3(f1(f4(x721)))+~P2(f1(f2(x721)))),
% 1.90/2.01 inference(scs_inference,[],[71,3])).
% 1.90/2.01 cnf(99,plain,
% 1.90/2.01 (~P2(f3(x991))+~P3(f1(f4(x991)))+~P2(f1(f2(x991)))),
% 1.90/2.01 inference(scs_inference,[],[3,22])).
% 1.90/2.01 cnf(139,plain,
% 1.90/2.01 (P2(x1391)+~P3(f1(f1(x1391)))),
% 1.90/2.02 inference(scs_inference,[],[4,5])).
% 1.90/2.02 cnf(153,plain,
% 1.90/2.02 (~P3(f1(f4(x1531)))+~P2(f1(f2(x1531)))+~P3(f1(f3(x1531)))),
% 1.90/2.02 inference(scs_inference,[],[4,99])).
% 1.90/2.02 cnf(186,plain,
% 1.90/2.02 (P3(x1861)+~P2(x1861)+~P1(f1(x1861))),
% 1.90/2.02 inference(scs_inference,[],[5,9])).
% 1.90/2.02 cnf(243,plain,
% 1.90/2.02 (~P2(x2431)+P3(x2431)),
% 1.90/2.02 inference(scs_inference,[],[31,186])).
% 1.90/2.02 cnf(274,plain,
% 1.90/2.02 (~P1(x2741)+P3(f1(x2741))),
% 1.90/2.02 inference(scs_inference,[],[243,39])).
% 1.90/2.02 cnf(275,plain,
% 1.90/2.02 (~P1(x2751)+P2(x2751)),
% 1.90/2.02 inference(scs_inference,[],[274,4])).
% 1.90/2.02 cnf(276,plain,
% 1.90/2.02 (~P1(f1(x2761))+P1(x2761)),
% 1.90/2.02 inference(scs_inference,[],[275,3])).
% 1.90/2.02 cnf(282,plain,
% 1.90/2.02 (P3(x2821)+~P1(x2821)),
% 1.90/2.02 inference(scs_inference,[],[243,275])).
% 1.90/2.02 cnf(283,plain,
% 1.90/2.02 (P3(f1(x2831))+P1(x2831)),
% 1.90/2.02 inference(scs_inference,[],[282,1])).
% 1.90/2.02 cnf(284,plain,
% 1.90/2.02 (P3(f1(x2841))),
% 1.90/2.02 inference(scs_inference,[],[283,274])).
% 1.90/2.02 cnf(286,plain,
% 1.90/2.02 (P3(f1(x2861))),
% 1.90/2.02 inference(rename_variables,[],[284])).
% 1.90/2.02 cnf(290,plain,
% 1.90/2.02 (P3(f1(x2901))),
% 1.90/2.02 inference(rename_variables,[],[284])).
% 1.90/2.02 cnf(292,plain,
% 1.90/2.02 (P3(f1(x2921))),
% 1.90/2.02 inference(rename_variables,[],[284])).
% 1.90/2.02 cnf(301,plain,
% 1.90/2.02 ($false),
% 1.90/2.02 inference(scs_inference,[],[284,286,290,292,139,5,153,99,72,282,276,275]),
% 1.90/2.02 ['proof']).
% 1.90/2.02 % SZS output end Proof
% 1.90/2.02 % Total time :1.390000s
%------------------------------------------------------------------------------