TSTP Solution File: MSC001-1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : MSC001-1 : 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 : n007.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 09:20:41 EDT 2023
% Result : Unsatisfiable 128.04s 128.09s
% Output : CNFRefutation 128.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MSC001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n007.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 : Thu Aug 24 13:40:40 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.54 start to proof:theBenchmark
% 128.04/128.08 %-------------------------------------------
% 128.04/128.08 % File :CSE---1.6
% 128.04/128.08 % Problem :theBenchmark
% 128.04/128.08 % Transform :cnf
% 128.04/128.08 % Format :tptp:raw
% 128.04/128.08 % Command :java -jar mcs_scs.jar %d %s
% 128.04/128.08
% 128.04/128.08 % Result :Theorem 127.470000s
% 128.04/128.08 % Output :CNFRefutation 127.470000s
% 128.04/128.08 %-------------------------------------------
% 128.04/128.09 %--------------------------------------------------------------------------
% 128.04/128.09 % File : MSC001-1 : TPTP v8.1.2. Released v1.0.0.
% 128.04/128.09 % Domain : Miscellaneous
% 128.04/128.09 % Problem : A Blind Hand Problem
% 128.04/128.09 % Version : Especial.
% 128.04/128.09 % English :
% 128.04/128.09
% 128.04/128.09 % Refs : [Pop70] Popplestone (1970), Freddy, Things and Sets
% 128.04/128.09 % : [MRS72] Michie et al. (1972), G-deduction
% 128.04/128.09 % : [WM76] Wilson & Minker (1976), Resolution, Refinements, and S
% 128.04/128.09 % Source : [SPRFN]
% 128.04/128.09 % Names : APABHP [MRS72]
% 128.04/128.09 % : APABHP [WM76]
% 128.04/128.09
% 128.04/128.09 % Status : Unsatisfiable
% 128.04/128.09 % Rating : 0.14 v7.5.0, 0.33 v7.4.0, 0.00 v7.1.0, 0.33 v7.0.0, 0.38 v6.3.0, 0.14 v6.2.0, 0.11 v6.1.0, 0.14 v5.5.0, 0.12 v5.4.0, 0.10 v5.1.0, 0.09 v5.0.0, 0.07 v4.1.0, 0.00 v2.1.0, 0.12 v2.0.0
% 128.04/128.09 % Syntax : Number of clauses : 18 ( 5 unt; 1 nHn; 16 RR)
% 128.04/128.09 % Number of literals : 36 ( 0 equ; 21 neg)
% 128.04/128.09 % Maximal clause size : 3 ( 2 avg)
% 128.04/128.09 % Maximal term depth : 3 ( 1 avg)
% 128.04/128.09 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 128.04/128.09 % Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% 128.04/128.09 % Number of variables : 39 ( 6 sgn)
% 128.04/128.09 % SPC : CNF_UNS_RFO_NEQ_NHN
% 128.04/128.09
% 128.04/128.09 % Comments : The clauses are in the original order except that the query
% 128.04/128.09 % has been put last.
% 128.04/128.09 % : The symbols are explained in [MRS72].
% 128.04/128.09 %--------------------------------------------------------------------------
% 128.04/128.09 cnf(clause_1,axiom,
% 128.04/128.09 ( ~ at(A,there,B)
% 128.04/128.09 | ~ at(A,here,B) ) ).
% 128.04/128.09
% 128.04/128.09 cnf(clause_2,axiom,
% 128.04/128.09 ~ hold(thing(A),do(let_go,B)) ).
% 128.04/128.09
% 128.04/128.09 cnf(clause_3,axiom,
% 128.04/128.09 ~ red(hand) ).
% 128.04/128.09
% 128.04/128.09 cnf(clause_5,axiom,
% 128.04/128.09 at(hand,A,do(go(A),B)) ).
% 128.04/128.09
% 128.04/128.09 cnf(clause_6,axiom,
% 128.04/128.09 at(thing(s),here,now) ).
% 128.04/128.09
% 128.04/128.09 cnf(clause_7,axiom,
% 128.04/128.09 ( ~ at(thing(A),B,do(go(B),C))
% 128.04/128.09 | at(thing(A),B,C)
% 128.04/128.09 | hold(thing(A),C) ) ).
% 128.04/128.09
% 128.04/128.09 cnf(clause_8,axiom,
% 128.04/128.09 ( ~ at(hand,A,B)
% 128.04/128.09 | ~ at(thing(C),A,B)
% 128.04/128.09 | hold(thing(taken(B)),do(pick_up,B)) ) ).
% 128.04/128.09
% 128.04/128.09 cnf(clause_9,axiom,
% 128.04/128.09 ( ~ hold(thing(A),B)
% 128.04/128.09 | ~ at(hand,C,B)
% 128.04/128.09 | at(thing(A),C,B) ) ).
% 128.04/128.09
% 128.04/128.09 cnf(clause_10,axiom,
% 128.04/128.09 ( ~ hold(thing(A),B)
% 128.04/128.09 | ~ at(thing(A),C,B)
% 128.04/128.09 | at(hand,C,B) ) ).
% 128.04/128.09
% 128.04/128.09 cnf(clause_11,axiom,
% 128.04/128.09 ( ~ red(A)
% 128.04/128.09 | ~ at(A,there,B)
% 128.04/128.09 | answer(B) ) ).
% 128.04/128.09
% 128.04/128.09 cnf(clause_12,axiom,
% 128.04/128.09 ( ~ at(thing(A),B,C)
% 128.04/128.09 | at(thing(A),B,do(go(B),C)) ) ).
% 128.04/128.09
% 128.04/128.09 cnf(clause_13,axiom,
% 128.04/128.09 ( ~ hold(thing(A),B)
% 128.04/128.09 | hold(thing(A),do(go(C),B)) ) ).
% 128.04/128.09
% 128.04/128.09 cnf(clause_14,axiom,
% 128.04/128.09 ( ~ at(hand,A,B)
% 128.04/128.09 | at(thing(taken(B)),A,B) ) ).
% 128.04/128.09
% 128.04/128.09 cnf(clause_15,axiom,
% 128.04/128.09 ( ~ at(A,B,C)
% 128.04/128.09 | at(A,B,do(pick_up,C)) ) ).
% 128.04/128.09
% 128.04/128.09 cnf(clause_16,axiom,
% 128.04/128.09 ( ~ at(A,B,C)
% 128.04/128.09 | at(A,B,do(let_go,C)) ) ).
% 128.04/128.09
% 128.04/128.09 cnf(clause_17,axiom,
% 128.04/128.09 ( ~ at(A,B,do(let_go,C))
% 128.04/128.09 | at(A,B,C) ) ).
% 128.04/128.09
% 128.04/128.09 cnf(things_here_now_are_red,hypothesis,
% 128.04/128.09 ( ~ at(A,here,now)
% 128.04/128.09 | red(A) ) ).
% 128.04/128.09
% 128.04/128.09 cnf(prove_there_is_a_red_thing,negated_conjecture,
% 128.04/128.09 ~ answer(A) ).
% 128.04/128.09
% 128.04/128.09 %--------------------------------------------------------------------------
% 128.04/128.09 %-------------------------------------------
% 128.04/128.09 % Proof found
% 128.04/128.09 % SZS status Theorem for theBenchmark
% 128.04/128.09 % SZS output start Proof
% 128.04/128.09 %ClaNum:18(EqnAxiom:0)
% 128.04/128.09 %VarNum:81(SingletonVarNum:39)
% 128.04/128.09 %MaxLitNum:3
% 128.04/128.09 %MaxfuncDepth:2
% 128.04/128.09 %SharedTerms:10
% 128.04/128.09 %goalClause: 4
% 128.04/128.09 %singleGoalClaCount:1
% 128.04/128.09 [3]~P3(a3)
% 128.04/128.09 [1]P1(f9(a1),a2,a6)
% 128.04/128.09 [4]~P2(x41)
% 128.04/128.09 [5]~P4(f9(x51),f5(a7,x52))
% 128.04/128.09 [2]P1(a3,x21,f5(f4(x21),x22))
% 128.04/128.09 [6]P3(x61)+~P1(x61,a2,a6)
% 128.04/128.09 [12]~P1(x121,a2,x122)+~P1(x121,a10,x122)
% 128.04/128.09 [9]~P1(a3,x92,x91)+P1(f9(f11(x91)),x92,x91)
% 128.04/128.09 [10]~P1(x101,x102,x103)+P1(x101,x102,f5(a7,x103))
% 128.04/128.09 [11]~P1(x111,x112,x113)+P1(x111,x112,f5(a8,x113))
% 128.04/128.09 [13]P1(x131,x132,x133)+~P1(x131,x132,f5(a7,x133))
% 128.04/128.09 [7]~P4(f9(x71),x73)+P4(f9(x71),f5(f4(x72),x73))
% 128.04/128.09 [16]~P1(f9(x161),x162,x163)+P1(f9(x161),x162,f5(f4(x162),x163))
% 128.04/128.09 [8]P2(x81)+~P3(x82)+~P1(x82,a10,x81)
% 128.04/128.09 [14]~P1(a3,x142,x143)+P1(f9(x141),x142,x143)+~P4(f9(x141),x143)
% 128.04/128.09 [15]P1(a3,x151,x152)+~P1(f9(x153),x151,x152)+~P4(f9(x153),x152)
% 128.04/128.09 [17]~P1(a3,x172,x171)+~P1(f9(x173),x172,x171)+P4(f9(f11(x171)),f5(a8,x171))
% 128.04/128.09 [18]P1(f9(x181),x183,x182)+P4(f9(x181),x182)+~P1(f9(x181),x183,f5(f4(x183),x182))
% 128.04/128.09 %EqnAxiom
% 128.04/128.09
% 128.04/128.09 %-------------------------------------------
% 128.04/128.10 cnf(23,plain,
% 128.04/128.10 (P1(f9(a1),a2,f5(a8,a6))),
% 128.04/128.10 inference(scs_inference,[],[1,2,12,6,11])).
% 128.04/128.10 cnf(27,plain,
% 128.04/128.10 (P1(f9(a1),a2,f5(f4(a2),a6))),
% 128.04/128.10 inference(scs_inference,[],[1,2,12,6,11,10,16])).
% 128.04/128.10 cnf(60,plain,
% 128.04/128.10 (P1(f9(a1),a2,f5(a8,f5(a8,a6)))),
% 128.04/128.10 inference(scs_inference,[],[23,16,11])).
% 128.04/128.10 cnf(76,plain,
% 128.04/128.10 (P4(f9(f11(f5(f4(x761),x762))),f5(a8,f5(f4(x761),x762)))),
% 128.04/128.10 inference(scs_inference,[],[2,9,17])).
% 128.04/128.10 cnf(115,plain,
% 128.04/128.10 (P1(f9(a1),a2,f5(f4(a2),f5(a8,f5(a8,f5(a8,a6)))))),
% 128.04/128.10 inference(scs_inference,[],[60,11,16])).
% 128.04/128.10 cnf(131,plain,
% 128.04/128.10 (P1(f9(a1),a2,f5(a8,f5(f4(a2),f5(f4(a2),a6))))),
% 128.04/128.10 inference(scs_inference,[],[27,16,11])).
% 128.04/128.10 cnf(156,plain,
% 128.04/128.10 (~P1(a3,x1561,f5(a7,x1562))+P1(f9(f11(x1562)),x1561,x1562)),
% 128.04/128.10 inference(scs_inference,[],[9,13])).
% 128.04/128.10 cnf(163,plain,
% 128.04/128.10 (P1(f9(f11(f5(f4(x1631),x1632))),x1631,f5(f4(x1631),x1632))),
% 128.04/128.10 inference(scs_inference,[],[2,10,156])).
% 128.04/128.10 cnf(1475,plain,
% 128.04/128.10 (P1(f9(f11(f5(f4(x14751),f5(a7,x14752)))),x14751,f5(a7,x14752))),
% 128.04/128.10 inference(scs_inference,[],[5,163,18])).
% 128.04/128.10 cnf(1482,plain,
% 128.04/128.10 (P1(f9(f11(f5(f4(x14821),f5(a7,x14822)))),x14821,f5(a7,x14822))),
% 128.04/128.10 inference(rename_variables,[],[1475])).
% 128.04/128.10 cnf(1484,plain,
% 128.04/128.10 (~P1(f9(f11(f5(f4(a10),f5(a7,x14841)))),a2,x14841)),
% 128.04/128.10 inference(scs_inference,[],[1475,12,10])).
% 128.04/128.10 cnf(1486,plain,
% 128.04/128.10 (P1(f9(f11(f5(f4(x14861),f5(a7,x14862)))),x14861,x14862)),
% 128.04/128.10 inference(scs_inference,[],[1475,1482,12,10,13])).
% 128.04/128.10 cnf(1488,plain,
% 128.04/128.10 (~P1(f9(f11(f5(f4(a10),f5(a7,f5(a8,x14881))))),a2,x14881)),
% 128.04/128.10 inference(scs_inference,[],[1475,1482,12,10,13,11])).
% 128.04/128.10 cnf(1497,plain,
% 128.04/128.10 (~P1(f9(f11(f5(f4(a2),f5(a7,x14971)))),a10,x14971)),
% 128.04/128.10 inference(scs_inference,[],[1486,12])).
% 128.04/128.10 cnf(1498,plain,
% 128.04/128.10 (P1(f9(f11(f5(f4(x14981),f5(a7,x14982)))),x14981,x14982)),
% 128.04/128.10 inference(rename_variables,[],[1486])).
% 128.04/128.10 cnf(1504,plain,
% 128.04/128.10 (P1(f9(f11(f5(f4(x15041),f5(a7,x15042)))),x15041,f5(a8,x15042))),
% 128.04/128.10 inference(scs_inference,[],[1486,1498,1488,115,12,10,13,11])).
% 128.04/128.10 cnf(1506,plain,
% 128.04/128.10 (P3(f9(f11(f5(f4(a2),f5(a7,a6)))))),
% 128.04/128.10 inference(scs_inference,[],[1486,1498,1488,115,12,10,13,11,6])).
% 128.04/128.10 cnf(1522,plain,
% 128.04/128.10 (P1(f9(f11(f5(f4(x15221),f5(a7,x15222)))),x15221,f5(a8,x15222))),
% 128.04/128.10 inference(rename_variables,[],[1504])).
% 128.04/128.10 cnf(1527,plain,
% 128.04/128.10 (P1(f9(f11(f5(f4(x15271),f5(a7,f5(a7,x15272))))),x15271,x15272)),
% 128.04/128.10 inference(scs_inference,[],[1504,1484,1486,12,10,13])).
% 128.04/128.10 cnf(1530,plain,
% 128.04/128.10 (~P1(f9(f11(f5(f4(a2),f5(a7,f5(a8,x15301))))),a10,x15301)),
% 128.04/128.10 inference(scs_inference,[],[1504,1484,1486,1497,12,10,13,11])).
% 128.04/128.10 cnf(1535,plain,
% 128.04/128.10 (P1(f9(f11(f5(f4(x15351),f5(a7,x15352)))),x15351,f5(f4(x15351),f5(a8,x15352)))),
% 128.04/128.10 inference(scs_inference,[],[4,1506,1504,1522,1484,1486,1497,12,10,13,11,8,16])).
% 128.04/128.10 cnf(1540,plain,
% 128.04/128.10 (P1(f9(f11(f5(f4(x15401),f5(a7,f5(a7,x15402))))),x15401,x15402)),
% 128.04/128.10 inference(rename_variables,[],[1527])).
% 128.04/128.10 cnf(1542,plain,
% 128.04/128.10 (P1(f9(f11(f5(f4(x15421),f5(a7,x15422)))),x15421,f5(a7,f5(f4(x15421),f5(a8,x15422))))),
% 128.04/128.10 inference(scs_inference,[],[1527,1535,12,10])).
% 128.04/128.10 cnf(1546,plain,
% 128.04/128.10 (P1(f9(f11(f5(f4(x15461),f5(a7,f5(a7,x15462))))),x15461,f5(a8,x15462))),
% 128.04/128.10 inference(scs_inference,[],[1527,1540,1535,1530,12,10,13,11])).
% 128.04/128.10 cnf(1577,plain,
% 128.04/128.10 (P3(f9(f11(f5(f4(a2),f5(a7,f5(a7,a6))))))),
% 128.04/128.10 inference(scs_inference,[],[1542,1527,12,10,6])).
% 128.04/128.10 cnf(1616,plain,
% 128.04/128.10 (~P1(f9(f11(f5(f4(a2),f5(a7,f5(a7,a6))))),a10,x16161)),
% 128.04/128.10 inference(scs_inference,[],[4,1577,131,1546,12,10,11,8])).
% 128.04/128.10 cnf(1626,plain,
% 128.04/128.10 ($false),
% 128.04/128.10 inference(scs_inference,[],[1616,2,76,14,7]),
% 128.04/128.10 ['proof']).
% 128.04/128.10 % SZS output end Proof
% 128.04/128.10 % Total time :127.470000s
%------------------------------------------------------------------------------