TSTP Solution File: LCL126-1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL126-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n031.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 06:48:04 EDT 2023
% Result : Unsatisfiable 120.51s 120.88s
% Output : CNFRefutation 120.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL126-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n031.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 : Thu Aug 24 19:30:21 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 120.51/120.83 %-------------------------------------------
% 120.51/120.83 % File :CSE---1.6
% 120.51/120.83 % Problem :theBenchmark
% 120.51/120.83 % Transform :cnf
% 120.51/120.83 % Format :tptp:raw
% 120.51/120.83 % Command :java -jar mcs_scs.jar %d %s
% 120.51/120.83
% 120.51/120.83 % Result :Theorem 120.020000s
% 120.51/120.83 % Output :CNFRefutation 120.020000s
% 120.51/120.84 %-------------------------------------------
% 120.51/120.88 %--------------------------------------------------------------------------
% 120.51/120.88 % File : LCL126-1 : TPTP v8.1.2. Released v1.0.0.
% 120.51/120.88 % Domain : Logic Calculi (Right group)
% 120.51/120.88 % Problem : Q-2 depends on the 2nd McCune system
% 120.51/120.88 % Version : [McC92b] axioms.
% 120.51/120.88 % English : Kalman's axiomatisation of the right group calculus
% 120.51/120.88 % is {LG-1,LG-2,LG-3,LG-4,LG-5}. McCune has shown that LG-2
% 120.51/120.88 % is a single axiom. Other axiomatisations by McCune are
% 120.51/120.88 % {Q-2,Q-3}, {Q-3,Q-4}, S-2, S-3, S-4, P-4, S-6. Show that Q-2
% 120.51/120.88 % depends on the second McCune system.
% 120.51/120.88
% 120.51/120.88 % Refs : [MW92] McCune & Wos (1992), Experiments in Automated Deductio
% 120.51/120.88 % : [McC92a] McCune (1992), Automated Discovery of New Axiomatisat
% 120.51/120.88 % : [McC92b] McCune (1992), Email to G. Sutcliffe
% 120.51/120.88 % Source : [McC92b]
% 120.51/120.88 % Names : RG-107 [MW92]
% 120.51/120.88
% 120.51/120.88 % Status : Unsatisfiable
% 120.51/120.88 % Rating : 0.00 v5.4.0, 0.06 v5.3.0, 0.10 v5.2.0, 0.08 v5.1.0, 0.06 v5.0.0, 0.07 v4.0.1, 0.00 v2.1.0, 0.00 v2.0.0
% 120.51/120.88 % Syntax : Number of clauses : 4 ( 3 unt; 0 nHn; 2 RR)
% 120.51/120.88 % Number of literals : 6 ( 0 equ; 3 neg)
% 120.51/120.88 % Maximal clause size : 3 ( 1 avg)
% 120.51/120.88 % Maximal term depth : 5 ( 2 avg)
% 120.51/120.88 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty)
% 120.51/120.88 % Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% 120.51/120.88 % Number of variables : 8 ( 0 sgn)
% 120.51/120.88 % SPC : CNF_UNS_RFO_NEQ_HRN
% 120.51/120.88
% 120.51/120.88 % Comments :
% 120.51/120.88 %--------------------------------------------------------------------------
% 120.51/120.88 cnf(condensed_detachment,axiom,
% 120.51/120.88 ( ~ is_a_theorem(equivalent(X,Y))
% 120.51/120.88 | ~ is_a_theorem(X)
% 120.51/120.88 | is_a_theorem(Y) ) ).
% 120.51/120.88
% 120.51/120.88 cnf(q_3,axiom,
% 120.51/120.88 is_a_theorem(equivalent(X,equivalent(equivalent(X,equivalent(Y,Z)),equivalent(Z,Y)))) ).
% 120.51/120.88
% 120.51/120.88 cnf(q_4,axiom,
% 120.51/120.88 is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(X,Z),equivalent(Y,Z)))) ).
% 120.51/120.88
% 120.51/120.88 cnf(prove_q_2,negated_conjecture,
% 120.51/120.88 ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,b)),equivalent(a,c))) ).
% 120.51/120.88
% 120.51/120.88 %--------------------------------------------------------------------------
% 120.51/120.88 %-------------------------------------------
% 120.51/120.88 % Proof found
% 120.51/120.88 % SZS status Theorem for theBenchmark
% 120.51/120.88 % SZS output start Proof
% 120.51/120.93 %ClaNum:4(EqnAxiom:0)
% 120.51/120.93 %VarNum:16(SingletonVarNum:8)
% 120.51/120.93 %MaxLitNum:3
% 120.51/120.93 %MaxfuncDepth:3
% 120.51/120.93 %SharedTerms:9
% 120.51/120.93 %goalClause: 3
% 120.51/120.93 %singleGoalClaCount:1
% 120.51/120.93 [3]~P1(f1(f1(f1(a2,a3),f1(a4,a3)),f1(a2,a4)))
% 120.51/120.93 [1]P1(f1(f1(x11,x12),f1(f1(x11,x13),f1(x12,x13))))
% 120.51/120.93 [2]P1(f1(x21,f1(f1(x21,f1(x22,x23)),f1(x23,x22))))
% 120.51/120.93 [4]P1(x41)+~P1(x42)+~P1(f1(x42,x41))
% 120.51/120.93 %EqnAxiom
% 120.51/120.93
% 120.51/120.93 %-------------------------------------------
% 120.65/120.98 cnf(5,plain,
% 120.65/120.98 (P1(f1(f1(f1(f1(x51,x52),f1(f1(x51,x53),f1(x52,x53))),f1(x54,x55)),f1(x55,x54)))),
% 120.65/120.98 inference(scs_inference,[],[1,2,4])).
% 120.65/120.98 cnf(7,plain,
% 120.65/120.98 (P1(f1(f1(f1(f1(f1(f1(x71,x72),f1(f1(x71,x73),f1(x72,x73))),f1(x74,x75)),f1(x75,x74)),f1(x76,x77)),f1(x77,x76)))),
% 120.65/120.98 inference(scs_inference,[],[2,5,4])).
% 120.65/120.98 cnf(10,plain,
% 120.65/120.98 (P1(f1(f1(x101,x102),f1(f1(f1(x101,f1(x103,x104)),f1(x104,x103)),x102)))),
% 120.65/120.98 inference(scs_inference,[],[2,1,4])).
% 120.65/120.98 cnf(16,plain,
% 120.65/120.98 (P1(f1(f1(f1(f1(x161,x162),f1(x163,x164)),f1(x164,x163)),f1(f1(x161,x165),f1(x162,x165))))),
% 120.65/120.98 inference(scs_inference,[],[1,10,4])).
% 120.65/120.98 cnf(19,plain,
% 120.65/120.98 (P1(f1(f1(f1(x191,x192),x193),f1(f1(f1(x191,x194),f1(x192,x194)),x193)))),
% 120.65/120.98 inference(scs_inference,[],[5,16,4])).
% 120.65/120.98 cnf(22,plain,
% 120.65/120.98 (~P1(f1(f1(a2,a4),f1(a2,a4)))),
% 120.65/120.98 inference(scs_inference,[],[19,3,4])).
% 120.65/120.98 cnf(31,plain,
% 120.65/120.98 (~P1(f1(f1(f1(a2,a2),f1(x311,x312)),f1(x312,x311)))),
% 120.65/120.98 inference(scs_inference,[],[16,22,4])).
% 120.65/120.98 cnf(34,plain,
% 120.65/120.98 (~P1(f1(f1(a2,x341),f1(a2,x341)))),
% 120.65/120.98 inference(scs_inference,[],[31,19,4])).
% 120.65/120.98 cnf(95,plain,
% 120.65/120.98 (~P1(f1(f1(f1(f1(f1(x951,x952),f1(f1(x951,x953),f1(x952,x953))),f1(x954,x955)),f1(x955,x954)),f1(f1(a2,x956),f1(a2,x956))))),
% 120.65/120.98 inference(scs_inference,[],[34,7,4])).
% 120.65/120.98 cnf(104,plain,
% 120.65/120.98 ($false),
% 120.65/120.98 inference(scs_inference,[],[7,16,95,4]),
% 120.65/120.98 ['proof']).
% 120.65/120.98 % SZS output end Proof
% 120.65/120.98 % Total time :120.020000s
%------------------------------------------------------------------------------