TSTP Solution File: SEU150+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU150+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n017.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 : Thu Aug 31 16:17:53 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
% 0.00/0.12 % Problem : SEU150+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 23 15:49:08 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 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 : SEU150+1 : TPTP v8.1.2. Released v3.3.0.
% 0.19/0.62 % Domain : Set theory
% 0.19/0.62 % Problem : MPTP bushy problem t9_zfmisc_1
% 0.19/0.62 % Version : [Urb07] axioms : Especial.
% 0.19/0.62 % English :
% 0.19/0.62
% 0.19/0.62 % Refs : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 0.19/0.62 % : [Urb07] Urban (2006), Email to G. Sutcliffe
% 0.19/0.62 % Source : [Urb07]
% 0.19/0.62 % Names : bushy-t9_zfmisc_1 [Urb07]
% 0.19/0.62
% 0.19/0.62 % Status : Theorem
% 0.19/0.62 % Rating : 0.06 v8.1.0, 0.11 v7.5.0, 0.12 v7.4.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.04 v6.2.0, 0.08 v6.1.0, 0.13 v6.0.0, 0.09 v5.5.0, 0.07 v5.4.0, 0.11 v5.3.0, 0.19 v5.2.0, 0.00 v4.0.0, 0.04 v3.7.0, 0.05 v3.3.0
% 0.19/0.62 % Syntax : Number of formulae : 5 ( 3 unt; 0 def)
% 0.19/0.62 % Number of atoms : 7 ( 5 equ)
% 0.19/0.62 % Maximal formula atoms : 2 ( 1 avg)
% 0.19/0.62 % Number of connectives : 2 ( 0 ~; 0 |; 0 &)
% 0.19/0.62 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.19/0.62 % Maximal formula depth : 5 ( 3 avg)
% 0.19/0.62 % Maximal term depth : 2 ( 1 avg)
% 0.19/0.62 % Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% 0.19/0.62 % Number of functors : 2 ( 2 usr; 0 con; 1-2 aty)
% 0.19/0.62 % Number of variables : 8 ( 8 !; 0 ?)
% 0.19/0.62 % SPC : FOF_THM_RFO_SEQ
% 0.19/0.62
% 0.19/0.62 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.19/0.62 % library, www.mizar.org
% 0.19/0.62 %------------------------------------------------------------------------------
% 0.19/0.62 fof(commutativity_k2_tarski,axiom,
% 0.19/0.62 ! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) ).
% 0.19/0.62
% 0.19/0.62 fof(dt_k1_tarski,axiom,
% 0.19/0.62 $true ).
% 0.19/0.62
% 0.19/0.62 fof(dt_k2_tarski,axiom,
% 0.19/0.62 $true ).
% 0.19/0.62
% 0.19/0.62 fof(t8_zfmisc_1,axiom,
% 0.19/0.62 ! [A,B,C] :
% 0.19/0.62 ( singleton(A) = unordered_pair(B,C)
% 0.19/0.62 => A = B ) ).
% 0.19/0.62
% 0.19/0.62 fof(t9_zfmisc_1,conjecture,
% 0.19/0.62 ! [A,B,C] :
% 0.19/0.62 ( singleton(A) = unordered_pair(B,C)
% 0.19/0.62 => B = C ) ).
% 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:10(EqnAxiom:6)
% 0.19/0.62 %VarNum:9(SingletonVarNum:5)
% 0.19/0.62 %MaxLitNum:2
% 0.19/0.62 %MaxfuncDepth:1
% 0.19/0.62 %SharedTerms:7
% 0.19/0.62 %goalClause: 7 9
% 0.19/0.62 %singleGoalClaCount:2
% 0.19/0.62 [9]~E(a3,a1)
% 0.19/0.62 [7]E(f4(a1,a3),f5(a2))
% 0.19/0.62 [8]E(f4(x81,x82),f4(x82,x81))
% 0.19/0.62 [10]E(x101,x102)+~E(f5(x101),f4(x102,x103))
% 0.19/0.62 %EqnAxiom
% 0.19/0.62 [1]E(x11,x11)
% 0.19/0.62 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.62 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.62 [4]~E(x41,x42)+E(f4(x41,x43),f4(x42,x43))
% 0.19/0.62 [5]~E(x51,x52)+E(f4(x53,x51),f4(x53,x52))
% 0.19/0.62 [6]~E(x61,x62)+E(f5(x61),f5(x62))
% 0.19/0.62
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 cnf(11,plain,
% 0.19/0.62 (E(f5(a2),f4(a1,a3))),
% 0.19/0.62 inference(scs_inference,[],[7,2])).
% 0.19/0.62 cnf(12,plain,
% 0.19/0.62 (E(a2,a1)),
% 0.19/0.62 inference(scs_inference,[],[7,2,10])).
% 0.19/0.62 cnf(16,plain,
% 0.19/0.62 (E(f5(a2),f5(a1))),
% 0.19/0.62 inference(scs_inference,[],[7,8,2,10,3,6])).
% 0.19/0.62 cnf(17,plain,
% 0.19/0.62 (E(f4(x171,a2),f4(x171,a1))),
% 0.19/0.62 inference(scs_inference,[],[7,8,2,10,3,6,5])).
% 0.19/0.62 cnf(21,plain,
% 0.19/0.62 (~E(a3,a2)),
% 0.19/0.62 inference(scs_inference,[],[9,12,10,3])).
% 0.19/0.62 cnf(22,plain,
% 0.19/0.62 (~E(a1,a3)),
% 0.19/0.62 inference(scs_inference,[],[9,12,10,3,2])).
% 0.19/0.62 cnf(26,plain,
% 0.19/0.62 (~E(f5(a1),f4(a3,x261))),
% 0.19/0.62 inference(scs_inference,[],[11,8,17,22,3,2,10])).
% 0.19/0.62 cnf(35,plain,
% 0.19/0.62 (~E(f5(a1),f4(x351,a3))),
% 0.19/0.62 inference(scs_inference,[],[8,21,26,10,3])).
% 0.19/0.62 cnf(47,plain,
% 0.19/0.62 ($false),
% 0.19/0.62 inference(scs_inference,[],[11,16,35,2,3]),
% 0.19/0.62 ['proof']).
% 0.19/0.62 % SZS output end Proof
% 0.19/0.62 % Total time :0.000000s
%------------------------------------------------------------------------------