TSTP Solution File: ROB013-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ROB013-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n027.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 14:07:09 EDT 2023
% Result : Unsatisfiable 0.78s 0.87s
% Output : CNFRefutation 0.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ROB013-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n027.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 : Mon Aug 28 07:07:07 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.54 start to proof:theBenchmark
% 0.78/0.87 %-------------------------------------------
% 0.78/0.87 % File :CSE---1.6
% 0.78/0.87 % Problem :theBenchmark
% 0.78/0.87 % Transform :cnf
% 0.78/0.87 % Format :tptp:raw
% 0.78/0.87 % Command :java -jar mcs_scs.jar %d %s
% 0.78/0.87
% 0.78/0.87 % Result :Theorem 0.260000s
% 0.78/0.87 % Output :CNFRefutation 0.260000s
% 0.78/0.87 %-------------------------------------------
% 0.78/0.87 %--------------------------------------------------------------------------
% 0.78/0.87 % File : ROB013-1 : TPTP v8.1.2. Released v1.0.0.
% 0.78/0.87 % Domain : Robbins Algebra
% 0.78/0.87 % Problem : If -(a + b) = c then -(c + -(-b + a)) = a
% 0.78/0.87 % Version : [Win90] (equality) axioms.
% 0.78/0.87 % English :
% 0.78/0.87
% 0.78/0.87 % Refs : [Win90] Winker (1990), Robbins Algebra: Conditions that make a
% 0.78/0.87 % Source : [Win90]
% 0.78/0.87 % Names : Lemma 3.5 [Win90]
% 0.78/0.87
% 0.78/0.87 % Status : Unsatisfiable
% 0.78/0.87 % Rating : 0.00 v7.4.0, 0.04 v7.3.0, 0.00 v7.0.0, 0.05 v6.3.0, 0.00 v6.0.0, 0.05 v5.5.0, 0.00 v2.0.0
% 0.78/0.87 % Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 2 RR)
% 0.78/0.87 % Number of literals : 5 ( 5 equ; 1 neg)
% 0.78/0.87 % Maximal clause size : 1 ( 1 avg)
% 0.78/0.87 % Maximal term depth : 6 ( 2 avg)
% 0.78/0.87 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 0.78/0.87 % Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% 0.78/0.87 % Number of variables : 7 ( 0 sgn)
% 0.78/0.87 % SPC : CNF_UNS_RFO_PEQ_UEQ
% 0.78/0.87
% 0.78/0.87 % Comments :
% 0.78/0.87 %--------------------------------------------------------------------------
% 0.78/0.87 %----Include axioms for Robbins algebra
% 0.78/0.87 include('Axioms/ROB001-0.ax').
% 0.78/0.87 %--------------------------------------------------------------------------
% 0.78/0.87 cnf(condition,hypothesis,
% 0.78/0.87 negate(add(a,b)) = c ).
% 0.78/0.87
% 0.78/0.87 cnf(prove_result,negated_conjecture,
% 0.78/0.87 negate(add(c,negate(add(negate(b),a)))) != a ).
% 0.78/0.87
% 0.78/0.87 %--------------------------------------------------------------------------
% 0.78/0.87 %-------------------------------------------
% 0.78/0.87 % Proof found
% 0.78/0.87 % SZS status Theorem for theBenchmark
% 0.78/0.87 % SZS output start Proof
% 0.78/0.87 %ClaNum:11(EqnAxiom:6)
% 0.78/0.87 %VarNum:15(SingletonVarNum:7)
% 0.78/0.87 %MaxLitNum:1
% 0.78/0.87 %MaxfuncDepth:5
% 0.78/0.87 %SharedTerms:12
% 0.78/0.87 %goalClause: 11
% 0.78/0.87 %singleGoalClaCount:1
% 0.78/0.87 [7]E(f4(f3(a1,a2)),a5)
% 0.78/0.87 [11]~E(f4(f3(a5,f4(f3(f4(a2),a1)))),a1)
% 0.78/0.87 [8]E(f3(x81,x82),f3(x82,x81))
% 0.78/0.87 [10]E(f4(f3(f4(f3(x101,x102)),f4(f3(x101,f4(x102))))),x101)
% 0.78/0.87 [9]E(f3(f3(x91,x92),x93),f3(x91,f3(x92,x93)))
% 0.78/0.87 %EqnAxiom
% 0.78/0.87 [1]E(x11,x11)
% 0.78/0.87 [2]E(x22,x21)+~E(x21,x22)
% 0.78/0.87 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.78/0.87 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43))
% 0.78/0.87 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52))
% 0.78/0.87 [6]~E(x61,x62)+E(f4(x61),f4(x62))
% 0.78/0.87
% 0.78/0.87 %-------------------------------------------
% 0.78/0.88 cnf(12,plain,
% 0.78/0.88 (E(a5,f4(f3(a1,a2)))),
% 0.78/0.88 inference(scs_inference,[],[7,2])).
% 0.78/0.88 cnf(17,plain,
% 0.78/0.88 (E(f3(x171,f4(f3(a1,a2))),f3(x171,a5))),
% 0.78/0.88 inference(scs_inference,[],[7,8,9,2,3,6,5])).
% 0.78/0.88 cnf(19,plain,
% 0.78/0.88 (~E(a1,f4(f3(a5,f4(f3(f4(a2),a1)))))),
% 0.78/0.88 inference(scs_inference,[],[11,2])).
% 0.78/0.88 cnf(23,plain,
% 0.78/0.88 (E(x231,f4(f3(f4(f3(x231,x232)),f4(f3(x231,f4(x232))))))),
% 0.78/0.88 inference(scs_inference,[],[10,2])).
% 0.78/0.88 cnf(24,plain,
% 0.78/0.88 (E(f4(f3(x241,x242)),f4(f3(x242,x241)))),
% 0.78/0.88 inference(scs_inference,[],[8,6])).
% 0.78/0.88 cnf(26,plain,
% 0.78/0.88 (E(f3(f3(x261,x262),x263),f3(f3(x262,x261),x263))),
% 0.78/0.88 inference(scs_inference,[],[8,6,5,4])).
% 0.78/0.88 cnf(27,plain,
% 0.78/0.88 (E(f4(f3(f4(f3(a5,x271)),f4(f3(a5,f4(x271))))),f4(f3(a1,a2)))),
% 0.78/0.88 inference(scs_inference,[],[12,10,3])).
% 0.78/0.88 cnf(29,plain,
% 0.78/0.88 (E(f3(x291,f3(x292,x293)),f3(f3(x291,x292),x293))),
% 0.78/0.88 inference(scs_inference,[],[9,2])).
% 0.78/0.88 cnf(32,plain,
% 0.78/0.88 (E(f4(f3(x321,f4(f3(a1,a2)))),f4(f3(x321,a5)))),
% 0.78/0.88 inference(scs_inference,[],[17,6])).
% 0.78/0.88 cnf(42,plain,
% 0.78/0.88 (~E(a1,f4(f3(f4(f3(f4(a2),a1)),a5)))),
% 0.78/0.88 inference(scs_inference,[],[19,24,3])).
% 0.78/0.88 cnf(55,plain,
% 0.78/0.88 (~E(a1,f4(f3(f4(f3(f4(a2),a1)),f4(f3(a1,a2)))))),
% 0.78/0.88 inference(scs_inference,[],[32,42,3])).
% 0.78/0.88 cnf(57,plain,
% 0.78/0.88 (~E(f4(f3(f4(f3(f4(a2),a1)),f4(f3(a1,a2)))),a1)),
% 0.78/0.88 inference(scs_inference,[],[55,2])).
% 0.78/0.88 cnf(82,plain,
% 0.78/0.88 (E(f4(f3(x821,x822)),f4(f3(x822,x821)))),
% 0.78/0.88 inference(rename_variables,[],[24])).
% 0.78/0.88 cnf(84,plain,
% 0.78/0.88 (E(f3(f4(f3(x841,x842)),x843),f3(f4(f3(x842,x841)),x843))),
% 0.78/0.88 inference(scs_inference,[],[24,82,27,3,6,4])).
% 0.78/0.88 cnf(87,plain,
% 0.78/0.88 (E(f3(x871,f3(x872,x873)),f3(f3(x872,x871),x873))),
% 0.78/0.88 inference(scs_inference,[],[26,29,3])).
% 0.78/0.88 cnf(206,plain,
% 0.78/0.88 (E(f3(f4(f3(x2061,x2062)),x2063),f3(f4(f3(x2062,x2061)),x2063))),
% 0.78/0.88 inference(rename_variables,[],[84])).
% 0.78/0.88 cnf(209,plain,
% 0.78/0.88 (E(f4(f3(f4(f3(x2091,x2092)),x2093)),f4(f3(f4(f3(x2092,x2091)),x2093)))),
% 0.78/0.88 inference(scs_inference,[],[84,206,87,3,4,5,6])).
% 0.78/0.88 cnf(221,plain,
% 0.78/0.88 (~E(f4(f3(f4(f3(a1,f4(a2))),f4(f3(a1,a2)))),a1)),
% 0.78/0.88 inference(scs_inference,[],[57,209,3])).
% 0.78/0.88 cnf(226,plain,
% 0.78/0.88 (~E(a1,f4(f3(f4(f3(a1,f4(a2))),f4(f3(a1,a2)))))),
% 0.78/0.88 inference(scs_inference,[],[221,2])).
% 0.78/0.88 cnf(233,plain,
% 0.78/0.88 ($false),
% 0.78/0.88 inference(scs_inference,[],[226,23,24,3]),
% 0.78/0.88 ['proof']).
% 0.78/0.88 % SZS output end Proof
% 0.78/0.88 % Total time :0.260000s
%------------------------------------------------------------------------------