TSTP Solution File: MSC017+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : MSC017+1 : TPTP v8.1.2. Released v4.0.0.
% 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 09:20:46 EDT 2023
% Result : Theorem 0.19s 0.60s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MSC017+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % 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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 24 13:36:55 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 0.19/0.59 %-------------------------------------------
% 0.19/0.59 % File :CSE---1.6
% 0.19/0.59 % Problem :theBenchmark
% 0.19/0.59 % Transform :cnf
% 0.19/0.59 % Format :tptp:raw
% 0.19/0.59 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.59
% 0.19/0.59 % Result :Theorem 0.000000s
% 0.19/0.59 % Output :CNFRefutation 0.000000s
% 0.19/0.59 %-------------------------------------------
% 0.19/0.60 %------------------------------------------------------------------------------
% 0.19/0.60 % File : MSC017+1 : TPTP v8.1.2. Released v4.0.0.
% 0.19/0.60 % Domain : Miscellaneous
% 0.19/0.60 % Problem : Diving has no bad outcomes
% 0.19/0.60 % Version : Especial.
% 0.19/0.60 % English :
% 0.19/0.60
% 0.19/0.60 % Refs :
% 0.19/0.60 % Source : [TPTP]
% 0.19/0.60 % Names :
% 0.19/0.60
% 0.19/0.60 % Status : Theorem
% 0.19/0.60 % Rating : 0.08 v8.1.0, 0.06 v7.4.0, 0.07 v7.2.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.04 v6.1.0, 0.10 v6.0.0, 0.04 v5.3.0, 0.11 v5.2.0, 0.00 v4.0.0
% 0.19/0.60 % Syntax : Number of formulae : 7 ( 1 unt; 0 def)
% 0.19/0.60 % Number of atoms : 20 ( 2 equ)
% 0.19/0.60 % Maximal formula atoms : 4 ( 2 avg)
% 0.19/0.60 % Number of connectives : 16 ( 3 ~; 1 |; 2 &)
% 0.19/0.60 % ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% 0.19/0.60 % Maximal formula depth : 6 ( 4 avg)
% 0.19/0.60 % Maximal term depth : 3 ( 1 avg)
% 0.19/0.60 % Number of predicates : 5 ( 4 usr; 0 prp; 1-2 aty)
% 0.19/0.60 % Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% 0.19/0.60 % Number of variables : 8 ( 8 !; 0 ?)
% 0.19/0.60 % SPC : FOF_THM_RFO_SEQ
% 0.19/0.60
% 0.19/0.60 % Comments :
% 0.19/0.60 %------------------------------------------------------------------------------
% 0.19/0.60 %----The nitrogen of a dive is a function of the depth and time
% 0.19/0.60 fof(dive_nitrogen,axiom,
% 0.19/0.60 ! [D] :
% 0.19/0.60 ( dive(D)
% 0.19/0.60 => nitrogen(D) = padi(depth(D),time(D)) ) ).
% 0.19/0.60
% 0.19/0.60 fof(depth_and_time_and_nitrogen,axiom,
% 0.19/0.60 ! [D] :
% 0.19/0.60 ( dive(D)
% 0.19/0.60 => ( ( greater(depth(D),depth_limit)
% 0.19/0.60 | greater(time(D),time_limit) )
% 0.19/0.60 <=> greater(nitrogen(D),nitrogen_limit) ) ) ).
% 0.19/0.60
% 0.19/0.60 %----If the nitrogen of a dive is greater than the nitrogen limit, then
% 0.19/0.60 %----an outcome of the dive is DCI
% 0.19/0.60 fof(too_much_nitrogen,axiom,
% 0.19/0.60 ! [D] :
% 0.19/0.60 ( dive(D)
% 0.19/0.60 => ( greater(nitrogen(D),nitrogen_limit)
% 0.19/0.60 <=> outcome(D,dci) ) ) ).
% 0.19/0.60
% 0.19/0.60 %----DCI is bad
% 0.19/0.60 fof(bad_dci,axiom,
% 0.19/0.60 bad(dci) ).
% 0.19/0.60
% 0.19/0.60 %----DCI is the only bad outcome of a dive
% 0.19/0.60 fof(dci_is_the_only_bad_outcome,axiom,
% 0.19/0.60 ! [D] :
% 0.19/0.60 ( dive(D)
% 0.19/0.60 => ! [O] :
% 0.19/0.60 ( ( outcome(D,O)
% 0.19/0.60 & bad(O) )
% 0.19/0.60 => O = dci ) ) ).
% 0.19/0.60
% 0.19/0.60 %----No deep long dives
% 0.19/0.60 fof(no_deep_long,axiom,
% 0.19/0.60 ! [D] :
% 0.19/0.60 ( dive(D)
% 0.19/0.60 => ( ~ greater(depth(D),depth_limit)
% 0.19/0.60 & ~ greater(time(D),time_limit) ) ) ).
% 0.19/0.60
% 0.19/0.60 %----No bad outcomes
% 0.19/0.60 fof(no_bad,conjecture,
% 0.19/0.60 ! [D] :
% 0.19/0.60 ( dive(D)
% 0.19/0.60 => ! [O] :
% 0.19/0.60 ( outcome(D,O)
% 0.19/0.60 => ~ bad(O) ) ) ).
% 0.19/0.60
% 0.19/0.60 %------------------------------------------------------------------------------
% 0.19/0.60 %-------------------------------------------
% 0.19/0.60 % Proof found
% 0.19/0.60 % SZS status Theorem for theBenchmark
% 0.19/0.60 % SZS output start Proof
% 0.19/0.60 %ClaNum:27(EqnAxiom:14)
% 0.19/0.60 %VarNum:23(SingletonVarNum:8)
% 0.19/0.60 %MaxLitNum:4
% 0.19/0.60 %MaxfuncDepth:2
% 0.19/0.60 %SharedTerms:10
% 0.19/0.60 %goalClause: 15 17 18
% 0.19/0.60 %singleGoalClaCount:3
% 0.19/0.60 [15]P1(a1)
% 0.19/0.60 [16]P2(a2)
% 0.19/0.60 [17]P2(a5)
% 0.19/0.60 [18]P3(a1,a5)
% 0.19/0.60 [19]~P1(x191)+~P4(f3(x191),a4)
% 0.19/0.60 [20]~P1(x201)+~P4(f6(x201),a10)
% 0.19/0.60 [21]~P1(x211)+E(f7(f3(x211),f6(x211)),f8(x211))
% 0.19/0.60 [23]~P1(x231)+~P3(x231,a2)+P4(f8(x231),a9)
% 0.19/0.60 [24]~P1(x241)+P3(x241,a2)+~P4(f8(x241),a9)
% 0.19/0.60 [27]~P1(x271)+P4(f6(x271),a10)+~P4(f8(x271),a9)+P4(f3(x271),a4)
% 0.19/0.60 [22]~P2(x221)+~P3(x222,x221)+~P1(x222)+E(x221,a2)
% 0.19/0.60 %EqnAxiom
% 0.19/0.60 [1]E(x11,x11)
% 0.19/0.60 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.60 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.60 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.19/0.60 [5]~E(x51,x52)+E(f6(x51),f6(x52))
% 0.19/0.60 [6]~E(x61,x62)+E(f8(x61),f8(x62))
% 0.19/0.60 [7]~E(x71,x72)+E(f7(x71,x73),f7(x72,x73))
% 0.19/0.60 [8]~E(x81,x82)+E(f7(x83,x81),f7(x83,x82))
% 0.19/0.60 [9]~P1(x91)+P1(x92)+~E(x91,x92)
% 0.19/0.60 [10]~P2(x101)+P2(x102)+~E(x101,x102)
% 0.19/0.60 [11]P4(x112,x113)+~E(x111,x112)+~P4(x111,x113)
% 0.19/0.60 [12]P4(x123,x122)+~E(x121,x122)+~P4(x123,x121)
% 0.19/0.60 [13]P3(x132,x133)+~E(x131,x132)+~P3(x131,x133)
% 0.19/0.60 [14]P3(x143,x142)+~E(x141,x142)+~P3(x143,x141)
% 0.19/0.60
% 0.19/0.60 %-------------------------------------------
% 0.19/0.60 cnf(28,plain,
% 0.19/0.60 (~P4(f6(a1),a10)),
% 0.19/0.60 inference(scs_inference,[],[15,20])).
% 0.19/0.60 cnf(29,plain,
% 0.19/0.60 (~P4(f3(a1),a4)),
% 0.19/0.60 inference(scs_inference,[],[15,20,19])).
% 0.19/0.60 cnf(33,plain,
% 0.19/0.60 (E(a5,a2)),
% 0.19/0.60 inference(scs_inference,[],[15,17,18,20,19,21,12,22])).
% 0.19/0.60 cnf(54,plain,
% 0.19/0.60 ($false),
% 0.19/0.60 inference(scs_inference,[],[15,18,28,33,29,8,7,6,5,4,27,14,23]),
% 0.19/0.60 ['proof']).
% 0.19/0.60 % SZS output end Proof
% 0.19/0.60 % Total time :0.000000s
%------------------------------------------------------------------------------