TSTP Solution File: ROB030-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ROB030-1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n024.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 14:07:13 EDT 2023
% Result : Unsatisfiable 0.18s 0.61s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ROB030-1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 06:41:08 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.56 start to proof:theBenchmark
% 0.18/0.60 %-------------------------------------------
% 0.18/0.60 % File :CSE---1.6
% 0.18/0.60 % Problem :theBenchmark
% 0.18/0.60 % Transform :cnf
% 0.18/0.60 % Format :tptp:raw
% 0.18/0.60 % Command :java -jar mcs_scs.jar %d %s
% 0.18/0.60
% 0.18/0.60 % Result :Theorem 0.000000s
% 0.18/0.60 % Output :CNFRefutation 0.000000s
% 0.18/0.60 %-------------------------------------------
% 0.18/0.60 %------------------------------------------------------------------------------
% 0.18/0.60 % File : ROB030-1 : TPTP v8.1.2. Released v3.1.0.
% 0.18/0.60 % Domain : Robbins Algebra
% 0.18/0.60 % Problem : Exists absorbed element => Exists absorbed within negation element
% 0.18/0.60 % Version : [Win90] (equality) axioms.
% 0.18/0.60 % Theorem formulation : Denies Huntington's axiom.
% 0.18/0.60 % English : If there are elements c and d such that c+d=d, then the
% 0.18/0.60 % algebra is Boolean.
% 0.18/0.60
% 0.18/0.60 % Refs : [Win90] Winker (1990), Robbins Algebra: Conditions that make a
% 0.18/0.60 % : [Loe04] Loechner (2004), Email to Geoff Sutcliffe
% 0.18/0.60 % Source : [Loe04]
% 0.18/0.60 % Names : (1) [Loe04]
% 0.18/0.61
% 0.18/0.61 % Status : Unsatisfiable
% 0.18/0.61 % 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
% 0.18/0.61 % Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 2 RR)
% 0.18/0.61 % Number of literals : 5 ( 5 equ; 1 neg)
% 0.18/0.61 % Maximal clause size : 1 ( 1 avg)
% 0.18/0.61 % Maximal term depth : 6 ( 2 avg)
% 0.18/0.61 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 0.18/0.61 % Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% 0.18/0.61 % Number of variables : 9 ( 1 sgn)
% 0.18/0.61 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 0.18/0.61
% 0.18/0.61 % Comments :
% 0.18/0.61 %------------------------------------------------------------------------------
% 0.18/0.61 %----Include axioms for Robbins algebra
% 0.18/0.61 include('Axioms/ROB001-0.ax').
% 0.18/0.61 %------------------------------------------------------------------------------
% 0.18/0.61 cnf(absorbtion,hypothesis,
% 0.18/0.61 add(c,d) = d ).
% 0.18/0.61
% 0.18/0.61 cnf(prove_absorption_within_negation,negated_conjecture,
% 0.18/0.61 negate(add(A,B)) != negate(B) ).
% 0.18/0.61
% 0.18/0.61 %------------------------------------------------------------------------------
% 0.18/0.61 %-------------------------------------------
% 0.18/0.61 % Proof found
% 0.18/0.61 % SZS status Theorem for theBenchmark
% 0.18/0.61 % SZS output start Proof
% 0.18/0.61 %ClaNum:11(EqnAxiom:6)
% 0.18/0.61 %VarNum:18(SingletonVarNum:9)
% 0.18/0.61 %MaxLitNum:1
% 0.18/0.61 %MaxfuncDepth:5
% 0.18/0.61 %SharedTerms:4
% 0.18/0.61 %goalClause: 11
% 0.18/0.61 %singleGoalClaCount:1
% 0.18/0.61 [7]E(f2(a1,a3),a3)
% 0.18/0.61 [8]E(f2(x81,x82),f2(x82,x81))
% 0.18/0.61 [11]~E(f4(f2(x111,x112)),f4(x112))
% 0.18/0.61 [10]E(f4(f2(f4(f2(x101,x102)),f4(f2(x101,f4(x102))))),x101)
% 0.18/0.61 [9]E(f2(f2(x91,x92),x93),f2(x91,f2(x92,x93)))
% 0.18/0.61 %EqnAxiom
% 0.18/0.61 [1]E(x11,x11)
% 0.18/0.61 [2]E(x22,x21)+~E(x21,x22)
% 0.18/0.61 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.18/0.61 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.18/0.61 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.18/0.61 [6]~E(x61,x62)+E(f4(x61),f4(x62))
% 0.18/0.61
% 0.18/0.61 %-------------------------------------------
% 0.18/0.61 cnf(13,plain,
% 0.18/0.61 ($false),
% 0.18/0.61 inference(scs_inference,[],[11,7,2,6]),
% 0.18/0.61 ['proof']).
% 0.18/0.61 % SZS output end Proof
% 0.18/0.61 % Total time :0.000000s
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