%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : ROB030-1 : TPTP v8.2.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n016.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 : Mon Jun 24 14:10:27 EDT 2024
% Result : Unsatisfiable 0.56s 0.62s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ROB030-1 : TPTP v8.2.0. Released v3.1.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.33 % Computer : n016.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Jun 19 18:30:24 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.56/0.59 start to proof:theBenchmark
% 0.56/0.62 %-------------------------------------------
% 0.56/0.62 % File :CSE---1.7
% 0.56/0.62 % Problem :theBenchmark
% 0.56/0.62 % Transform :cnf
% 0.56/0.62 % Format :tptp:raw
% 0.56/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.56/0.62
% 0.56/0.62 % Result :Theorem 0.000000s
% 0.56/0.62 % Output :CNFRefutation 0.000000s
% 0.56/0.62 %-------------------------------------------
% 0.56/0.62 %------------------------------------------------------------------------------
% 0.56/0.62 % File : ROB030-1 : TPTP v8.2.0. Released v3.1.0.
% 0.56/0.62 % Domain : Robbins Algebra
% 0.56/0.62 % Problem : Exists absorbed element => Exists absorbed within negation element
% 0.56/0.62 % Version : [Win90] (equality) axioms.
% 0.56/0.62 % Theorem formulation : Denies Huntington's axiom.
% 0.56/0.62 % English : If there are elements c and d such that c+d=d, then the
% 0.56/0.62 % algebra is Boolean.
% 0.56/0.62
% 0.56/0.62 % Refs : [Win90] Winker (1990), Robbins Algebra: Conditions that make a
% 0.56/0.62 % : [Loe04] Loechner (2004), Email to Geoff Sutcliffe
% 0.56/0.62 % Source : [Loe04]
% 0.56/0.62 % Names : (1) [Loe04]
% 0.56/0.62
% 0.56/0.62 % Status : Unsatisfiable
% 0.56/0.62 % Rating : 0.00 v7.4.0, 0.04 v7.3.0, 0.00 v6.3.0, 0.06 v6.2.0, 0.07 v6.1.0, 0.00 v6.0.0, 0.10 v5.5.0, 0.05 v5.4.0, 0.00 v5.2.0, 0.07 v5.1.0, 0.13 v5.0.0, 0.07 v4.1.0, 0.09 v4.0.1, 0.07 v4.0.0, 0.08 v3.7.0, 0.00 v3.1.0
% 0.56/0.62 % Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 2 RR)
% 0.56/0.62 % Number of literals : 5 ( 5 equ; 1 neg)
% 0.56/0.62 % Maximal clause size : 1 ( 1 avg)
% 0.56/0.62 % Maximal term depth : 6 ( 2 avg)
% 0.56/0.62 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 0.56/0.62 % Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% 0.56/0.62 % Number of variables : 9 ( 1 sgn)
% 0.56/0.62 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 0.56/0.62
% 0.56/0.62 % Comments :
% 0.56/0.62 %------------------------------------------------------------------------------
% 0.56/0.62 %----Include axioms for Robbins algebra
% 0.56/0.62 include('Axioms/ROB001-0.ax').
% 0.56/0.62 %------------------------------------------------------------------------------
% 0.56/0.62 cnf(absorbtion,hypothesis,
% 0.56/0.62 add(c,d) = d ).
% 0.56/0.62
% 0.56/0.62 cnf(prove_absorption_within_negation,negated_conjecture,
% 0.56/0.62 negate(add(A,B)) != negate(B) ).
% 0.56/0.62
% 0.56/0.62 %------------------------------------------------------------------------------
% 0.56/0.62 %-------------------------------------------
% 0.56/0.62 % Proof found
% 0.56/0.62 % SZS status Theorem for theBenchmark
% 0.56/0.62 % SZS output start Proof
% 0.56/0.62 %ClaNum:11(EqnAxiom:6)
% 0.56/0.62 %VarNum:18(SingletonVarNum:9)
% 0.56/0.62 %MaxLitNum:1
% 0.56/0.62 %MaxfuncDepth:5
% 0.56/0.62 %SharedTerms:4
% 0.56/0.62 %goalClause: 11
% 0.56/0.62 %singleGoalClaCount:1
% 0.56/0.62 [7]E(f2(a1,a3),a3)
% 0.56/0.62 [8]E(f2(x81,x82),f2(x82,x81))
% 0.56/0.62 [11]~E(f4(f2(x111,x112)),f4(x112))
% 0.56/0.62 [10]E(f4(f2(f4(f2(x101,x102)),f4(f2(x101,f4(x102))))),x101)
% 0.56/0.62 [9]E(f2(f2(x91,x92),x93),f2(x91,f2(x92,x93)))
% 0.56/0.62 %EqnAxiom
% 0.56/0.62 [1]E(x11,x11)
% 0.56/0.62 [2]E(x22,x21)+~E(x21,x22)
% 0.56/0.62 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.56/0.62 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.56/0.62 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.56/0.62 [6]~E(x61,x62)+E(f4(x61),f4(x62))
% 0.56/0.62
% 0.56/0.62 %-------------------------------------------
% 0.58/0.63 cnf(13,plain,
% 0.58/0.63 ($false),
% 0.58/0.63 inference(scs_inference,[],[11,9,7,2,6]),
% 0.58/0.63 ['proof']).
% 0.58/0.63 % SZS output end Proof
% 0.58/0.63 % Total time :0.000000s
%------------------------------------------------------------------------------