TSTP Solution File: SWV410+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV410+1 : TPTP v8.1.2. Released v3.3.0.
% 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 21:33:29 EDT 2023
% Result : Theorem 0.51s 0.59s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV410+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.12 % 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 : Tue Aug 29 04:04:58 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.54 start to proof:theBenchmark
% 0.51/0.59 %-------------------------------------------
% 0.51/0.59 % File :CSE---1.6
% 0.51/0.59 % Problem :theBenchmark
% 0.51/0.59 % Transform :cnf
% 0.51/0.59 % Format :tptp:raw
% 0.51/0.59 % Command :java -jar mcs_scs.jar %d %s
% 0.51/0.59
% 0.51/0.59 % Result :Theorem 0.000000s
% 0.51/0.59 % Output :CNFRefutation 0.000000s
% 0.51/0.59 %-------------------------------------------
% 0.51/0.59 %------------------------------------------------------------------------------
% 0.51/0.59 % File : SWV410+1 : TPTP v8.1.2. Released v3.3.0.
% 0.51/0.59 % Domain : Software Verification
% 0.51/0.59 % Problem : Priority queue checker: lemma_contains_pair base
% 0.51/0.59 % Version : [dNP05] axioms.
% 0.51/0.59 % English :
% 0.51/0.59
% 0.51/0.59 % Refs : [Pis06] Piskac (2006), Email to Geoff Sutcliffe
% 0.51/0.59 % : [dNP05] de Nivelle & Piskac (2005), Verification of an Off-Lin
% 0.51/0.59 % Source : [Pis06]
% 0.51/0.59 % Names : cpq_l046 [Pis06]
% 0.51/0.59
% 0.51/0.59 % Status : Theorem
% 0.51/0.59 % Rating : 0.00 v6.3.0, 0.04 v6.2.0, 0.12 v6.1.0, 0.10 v6.0.0, 0.09 v5.5.0, 0.04 v5.3.0, 0.11 v5.2.0, 0.05 v5.0.0, 0.00 v3.3.0
% 0.51/0.59 % Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% 0.51/0.59 % Number of atoms : 36 ( 12 equ)
% 0.51/0.59 % Maximal formula atoms : 4 ( 1 avg)
% 0.51/0.59 % Number of connectives : 23 ( 6 ~; 3 |; 5 &)
% 0.51/0.59 % ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% 0.51/0.59 % Maximal formula depth : 9 ( 5 avg)
% 0.51/0.59 % Maximal term depth : 4 ( 1 avg)
% 0.51/0.59 % Number of predicates : 6 ( 5 usr; 0 prp; 1-3 aty)
% 0.51/0.59 % Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% 0.51/0.59 % Number of variables : 49 ( 48 !; 1 ?)
% 0.51/0.59 % SPC : FOF_THM_RFO_SEQ
% 0.51/0.59
% 0.51/0.59 % Comments :
% 0.51/0.59 %------------------------------------------------------------------------------
% 0.51/0.59 %----Include the axioms about priority queues and checked priority queues
% 0.51/0.59 include('Axioms/SWV007+0.ax').
% 0.51/0.59 include('Axioms/SWV007+2.ax').
% 0.51/0.59 %------------------------------------------------------------------------------
% 0.51/0.59 %----goal: fof(l45_li4647, lemma, (
% 0.51/0.59 %---- ! [U,V] : (contains_slb(U,V) => ? [W] : pair_in_list(U,V,W)))).
% 0.51/0.59
% 0.51/0.59 %----lemma_contains_pair::base (conjecture)
% 0.51/0.59 fof(l46_co,conjecture,
% 0.51/0.59 ! [U] :
% 0.51/0.59 ( contains_slb(create_slb,U)
% 0.51/0.59 => ? [V] : pair_in_list(create_slb,U,V) ) ).
% 0.51/0.59
% 0.51/0.59 %------------------------------------------------------------------------------
% 0.51/0.59 %-------------------------------------------
% 0.51/0.59 % Proof found
% 0.51/0.59 % SZS status Theorem for theBenchmark
% 0.51/0.59 % SZS output start Proof
% 0.51/0.59 %ClaNum:50(EqnAxiom:23)
% 0.51/0.59 %VarNum:143(SingletonVarNum:74)
% 0.51/0.59 %MaxLitNum:3
% 0.51/0.59 %MaxfuncDepth:3
% 0.51/0.59 %SharedTerms:5
% 0.51/0.59 %goalClause: 24
% 0.51/0.59 %singleGoalClaCount:1
% 0.51/0.59 [24]P1(a1,a3)
% 0.51/0.59 [31]~P3(a1)
% 0.51/0.59 [26]P2(a2,x261)
% 0.51/0.59 [27]P2(x271,x271)
% 0.51/0.59 [32]~P1(a1,x321)
% 0.51/0.59 [25]E(f4(a1,x251),a1)
% 0.51/0.59 [34]~P4(a1,x341,x342)
% 0.51/0.59 [28]P3(f6(x281,f5(x282,x283)))
% 0.51/0.59 [29]E(f8(f6(x291,f5(x292,x293)),x292),x291)
% 0.51/0.59 [30]E(f7(f6(x301,f5(x302,x303)),x302),x303)
% 0.51/0.59 [35]P2(x352,x351)+P2(x351,x352)
% 0.51/0.59 [36]~P5(x361,x362)+P2(x361,x362)
% 0.51/0.59 [37]~P5(x372,x371)+~P2(x371,x372)
% 0.51/0.59 [40]~E(x402,x404)+P1(f6(x401,f5(x402,x403)),x404)
% 0.51/0.59 [41]~P1(x411,x414)+P1(f6(x411,f5(x412,x413)),x414)
% 0.51/0.59 [45]~P2(x452,x454)+E(f6(f4(x451,x452),f5(x453,x454)),f4(f6(x451,f5(x453,x454)),x452))
% 0.51/0.59 [46]~P5(x463,x464)+E(f4(f6(x461,f5(x462,x463)),x464),f6(f4(x461,x464),f5(x462,x464)))
% 0.51/0.59 [48]~P4(x481,x484,x485)+P4(f6(x481,f5(x482,x483)),x484,x485)
% 0.51/0.59 [38]P5(x382,x381)+~P2(x382,x381)+P2(x381,x382)
% 0.51/0.59 [39]~P2(x391,x393)+P2(x391,x392)+~P2(x393,x392)
% 0.51/0.59 [44]E(x441,x442)+P1(x443,x442)+~P1(f6(x443,f5(x441,x444)),x442)
% 0.51/0.59 [42]~P1(x423,x422)+E(x421,x422)+E(f7(f6(x423,f5(x421,x424)),x422),f7(x423,x422))
% 0.51/0.59 [47]~P1(x473,x472)+E(x471,x472)+E(f8(f6(x473,f5(x471,x474)),x472),f6(f8(x473,x472),f5(x471,x474)))
% 0.51/0.59 [43]~E(x433,x435)+~E(x432,x434)+P4(f6(x431,f5(x432,x433)),x434,x435)
% 0.51/0.59 [49]E(x491,x492)+P4(x493,x494,x492)+~P4(f6(x493,f5(x495,x491)),x494,x492)
% 0.51/0.59 [50]E(x501,x502)+P4(x503,x502,x504)+~P4(f6(x503,f5(x501,x505)),x502,x504)
% 0.51/0.60 %EqnAxiom
% 0.51/0.60 [1]E(x11,x11)
% 0.51/0.60 [2]E(x22,x21)+~E(x21,x22)
% 0.51/0.60 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.51/0.60 [4]~E(x41,x42)+E(f4(x41,x43),f4(x42,x43))
% 0.51/0.60 [5]~E(x51,x52)+E(f4(x53,x51),f4(x53,x52))
% 0.51/0.60 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 0.51/0.60 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 0.51/0.60 [8]~E(x81,x82)+E(f6(x81,x83),f6(x82,x83))
% 0.51/0.60 [9]~E(x91,x92)+E(f6(x93,x91),f6(x93,x92))
% 0.51/0.60 [10]~E(x101,x102)+E(f7(x101,x103),f7(x102,x103))
% 0.51/0.60 [11]~E(x111,x112)+E(f7(x113,x111),f7(x113,x112))
% 0.51/0.60 [12]~E(x121,x122)+E(f8(x121,x123),f8(x122,x123))
% 0.51/0.60 [13]~E(x131,x132)+E(f8(x133,x131),f8(x133,x132))
% 0.51/0.60 [14]P1(x142,x143)+~E(x141,x142)+~P1(x141,x143)
% 0.51/0.60 [15]P1(x153,x152)+~E(x151,x152)+~P1(x153,x151)
% 0.51/0.60 [16]P2(x162,x163)+~E(x161,x162)+~P2(x161,x163)
% 0.51/0.60 [17]P2(x173,x172)+~E(x171,x172)+~P2(x173,x171)
% 0.51/0.60 [18]P5(x182,x183)+~E(x181,x182)+~P5(x181,x183)
% 0.51/0.60 [19]P5(x193,x192)+~E(x191,x192)+~P5(x193,x191)
% 0.51/0.60 [20]~P3(x201)+P3(x202)+~E(x201,x202)
% 0.51/0.60 [21]P4(x212,x213,x214)+~E(x211,x212)+~P4(x211,x213,x214)
% 0.51/0.60 [22]P4(x223,x222,x224)+~E(x221,x222)+~P4(x223,x221,x224)
% 0.51/0.60 [23]P4(x233,x234,x232)+~E(x231,x232)+~P4(x233,x234,x231)
% 0.51/0.60
% 0.51/0.60 %-------------------------------------------
% 0.51/0.60 cnf(51,plain,
% 0.51/0.60 ($false),
% 0.51/0.60 inference(scs_inference,[],[24,32]),
% 0.51/0.60 ['proof']).
% 0.51/0.60 % SZS output end Proof
% 0.51/0.60 % Total time :0.000000s
%------------------------------------------------------------------------------