%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWV413+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n032.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 : Mon Jun 24 16:47:08 EDT 2024
% Result : Theorem 0.88s 0.97s
% Output : CNFRefutation 0.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV413+1 : TPTP v8.2.0. Released v3.3.0.
% 0.12/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.32 % Computer : n032.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu Jun 20 20:29:08 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.19/0.52 start to proof:theBenchmark
% 0.88/0.96 %-------------------------------------------
% 0.88/0.96 % File :CSE---1.7
% 0.88/0.96 % Problem :theBenchmark
% 0.88/0.96 % Transform :cnf
% 0.88/0.96 % Format :tptp:raw
% 0.88/0.96 % Command :java -jar mcs_scs.jar %d %s
% 0.88/0.96
% 0.88/0.96 % Result :Theorem 0.410000s
% 0.88/0.96 % Output :CNFRefutation 0.410000s
% 0.88/0.96 %-------------------------------------------
% 0.88/0.97 %------------------------------------------------------------------------------
% 0.88/0.97 % File : SWV413+1 : TPTP v8.2.0. Released v3.3.0.
% 0.88/0.97 % Domain : Software Verification
% 0.88/0.97 % Problem : Priority queue checker: lemma_contains_update_02
% 0.88/0.97 % Version : [dNP05] axioms.
% 0.88/0.97 % English :
% 0.88/0.97
% 0.88/0.97 % Refs : [Pis06] Piskac (2006), Email to Geoff Sutcliffe
% 0.88/0.97 % : [dNP05] de Nivelle & Piskac (2005), Verification of an Off-Lin
% 0.88/0.97 % Source : [Pis06]
% 0.88/0.97 % Names : cpq_l049 [Pis06]
% 0.88/0.97
% 0.88/0.97 % Status : Theorem
% 0.88/0.97 % Rating : 0.03 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.08 v6.2.0, 0.16 v6.1.0, 0.07 v6.0.0, 0.09 v5.5.0, 0.04 v5.4.0, 0.07 v5.3.0, 0.15 v5.2.0, 0.05 v5.0.0, 0.08 v4.1.0, 0.13 v4.0.0, 0.12 v3.7.0, 0.15 v3.5.0, 0.16 v3.4.0, 0.11 v3.3.0
% 0.88/0.97 % Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% 0.88/0.97 % Number of atoms : 42 ( 12 equ)
% 0.88/0.97 % Maximal formula atoms : 5 ( 2 avg)
% 0.88/0.97 % Number of connectives : 28 ( 6 ~; 3 |; 9 &)
% 0.88/0.97 % ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% 0.88/0.97 % Maximal formula depth : 9 ( 5 avg)
% 0.88/0.97 % Maximal term depth : 4 ( 1 avg)
% 0.88/0.97 % Number of predicates : 6 ( 5 usr; 0 prp; 1-3 aty)
% 0.88/0.97 % Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% 0.88/0.97 % Number of variables : 56 ( 55 !; 1 ?)
% 0.88/0.97 % SPC : FOF_THM_RFO_SEQ
% 0.88/0.97
% 0.88/0.97 % Comments :
% 0.88/0.97 %------------------------------------------------------------------------------
% 0.88/0.97 %----Include the axioms about priority queues and checked priority queues
% 0.88/0.97 include('Axioms/SWV007+0.ax').
% 0.88/0.97 include('Axioms/SWV007+2.ax').
% 0.88/0.97 %------------------------------------------------------------------------------
% 0.88/0.97 %----tmp_not_check_03_2 (cpq_l036.p, cpq_l037.p)
% 0.88/0.97 fof(l49_li3637,lemma,
% 0.88/0.97 ! [U,V,W,X] :
% 0.88/0.97 ( ( pair_in_list(U,V,W)
% 0.88/0.97 & less_than(X,W) )
% 0.88/0.97 => pair_in_list(update_slb(U,X),V,W) ) ).
% 0.88/0.97
% 0.88/0.97 %----lemma_contains_update_02 (conjecture)
% 0.88/0.97 fof(l49_co,conjecture,
% 0.88/0.97 ! [U,V,W,X] :
% 0.88/0.97 ( ( pair_in_list(U,V,W)
% 0.88/0.97 & strictly_less_than(V,X)
% 0.88/0.97 & less_than(X,W) )
% 0.88/0.97 => ? [Y] :
% 0.88/0.97 ( pair_in_list(update_slb(U,X),V,Y)
% 0.88/0.97 & less_than(X,Y) ) ) ).
% 0.88/0.97
% 0.88/0.97 %------------------------------------------------------------------------------
% 0.88/0.97 %-------------------------------------------
% 0.88/0.97 % Proof found
% 0.88/0.97 % SZS status Theorem for theBenchmark
% 0.88/0.97 % SZS output start Proof
% 0.88/0.97 %ClaNum:53(EqnAxiom:23)
% 0.88/0.97 %VarNum:154(SingletonVarNum:79)
% 0.88/0.97 %MaxLitNum:3
% 0.88/0.97 %MaxfuncDepth:3
% 0.88/0.97 %SharedTerms:11
% 0.88/0.97 %goalClause: 24 25 29 44
% 0.88/0.97 %singleGoalClaCount:3
% 0.88/0.97 [24]P1(a1,a2)
% 0.88/0.97 [25]P4(a3,a1)
% 0.88/0.97 [29]P5(a6,a3,a2)
% 0.88/0.97 [33]~P2(a4)
% 0.88/0.97 [27]P1(a5,x271)
% 0.88/0.97 [28]P1(x281,x281)
% 0.88/0.97 [34]~P3(a4,x341)
% 0.88/0.97 [26]E(f7(a4,x261),a4)
% 0.88/0.97 [35]~P5(a4,x351,x352)
% 0.88/0.97 [30]P2(f9(x301,f8(x302,x303)))
% 0.88/0.97 [31]E(f11(f9(x311,f8(x312,x313)),x312),x311)
% 0.88/0.97 [32]E(f10(f9(x321,f8(x322,x323)),x322),x323)
% 0.88/0.97 [44]~P1(a1,x441)+~P5(f7(a6,a1),a3,x441)
% 0.88/0.97 [36]P1(x362,x361)+P1(x361,x362)
% 0.88/0.97 [37]~P4(x371,x372)+P1(x371,x372)
% 0.88/0.97 [38]~P4(x382,x381)+~P1(x381,x382)
% 0.88/0.97 [41]~E(x412,x414)+P3(f9(x411,f8(x412,x413)),x414)
% 0.88/0.97 [42]~P3(x421,x424)+P3(f9(x421,f8(x422,x423)),x424)
% 0.88/0.97 [47]~P1(x472,x474)+E(f9(f7(x471,x472),f8(x473,x474)),f7(f9(x471,f8(x473,x474)),x472))
% 0.88/0.97 [48]~P4(x483,x484)+E(f7(f9(x481,f8(x482,x483)),x484),f9(f7(x481,x484),f8(x482,x484)))
% 0.88/0.97 [51]~P5(x511,x514,x515)+P5(f9(x511,f8(x512,x513)),x514,x515)
% 0.88/0.97 [39]P4(x392,x391)+~P1(x392,x391)+P1(x391,x392)
% 0.88/0.97 [40]~P1(x401,x403)+P1(x401,x402)+~P1(x403,x402)
% 0.88/0.97 [50]~P1(x502,x504)+~P5(x501,x503,x504)+P5(f7(x501,x502),x503,x504)
% 0.88/0.97 [46]E(x461,x462)+P3(x463,x462)+~P3(f9(x463,f8(x461,x464)),x462)
% 0.88/0.97 [43]~P3(x433,x432)+E(x431,x432)+E(f10(f9(x433,f8(x431,x434)),x432),f10(x433,x432))
% 0.88/0.97 [49]~P3(x493,x492)+E(x491,x492)+E(f11(f9(x493,f8(x491,x494)),x492),f9(f11(x493,x492),f8(x491,x494)))
% 0.88/0.97 [45]~E(x453,x455)+~E(x452,x454)+P5(f9(x451,f8(x452,x453)),x454,x455)
% 0.88/0.97 [52]E(x521,x522)+P5(x523,x524,x522)+~P5(f9(x523,f8(x525,x521)),x524,x522)
% 0.88/0.97 [53]E(x531,x532)+P5(x533,x532,x534)+~P5(f9(x533,f8(x531,x535)),x532,x534)
% 0.88/0.97 %EqnAxiom
% 0.88/0.97 [1]E(x11,x11)
% 0.88/0.97 [2]E(x22,x21)+~E(x21,x22)
% 0.88/0.97 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.88/0.97 [4]~E(x41,x42)+E(f7(x41,x43),f7(x42,x43))
% 0.88/0.97 [5]~E(x51,x52)+E(f7(x53,x51),f7(x53,x52))
% 0.88/0.97 [6]~E(x61,x62)+E(f8(x61,x63),f8(x62,x63))
% 0.88/0.97 [7]~E(x71,x72)+E(f8(x73,x71),f8(x73,x72))
% 0.88/0.97 [8]~E(x81,x82)+E(f9(x81,x83),f9(x82,x83))
% 0.88/0.97 [9]~E(x91,x92)+E(f9(x93,x91),f9(x93,x92))
% 0.88/0.97 [10]~E(x101,x102)+E(f10(x101,x103),f10(x102,x103))
% 0.88/0.97 [11]~E(x111,x112)+E(f10(x113,x111),f10(x113,x112))
% 0.88/0.97 [12]~E(x121,x122)+E(f11(x121,x123),f11(x122,x123))
% 0.88/0.97 [13]~E(x131,x132)+E(f11(x133,x131),f11(x133,x132))
% 0.88/0.97 [14]P1(x142,x143)+~E(x141,x142)+~P1(x141,x143)
% 0.88/0.97 [15]P1(x153,x152)+~E(x151,x152)+~P1(x153,x151)
% 0.88/0.97 [16]P4(x162,x163)+~E(x161,x162)+~P4(x161,x163)
% 0.88/0.97 [17]P4(x173,x172)+~E(x171,x172)+~P4(x173,x171)
% 0.88/0.97 [18]P5(x182,x183,x184)+~E(x181,x182)+~P5(x181,x183,x184)
% 0.88/0.97 [19]P5(x193,x192,x194)+~E(x191,x192)+~P5(x193,x191,x194)
% 0.88/0.97 [20]P5(x203,x204,x202)+~E(x201,x202)+~P5(x203,x204,x201)
% 0.88/0.97 [21]P3(x212,x213)+~E(x211,x212)+~P3(x211,x213)
% 0.88/0.97 [22]P3(x223,x222)+~E(x221,x222)+~P3(x223,x221)
% 0.88/0.97 [23]~P2(x231)+P2(x232)+~E(x231,x232)
% 0.88/0.97
% 0.88/0.97 %-------------------------------------------
% 0.88/0.98 cnf(54,plain,
% 0.88/0.98 (P3(f9(x542,f8(x541,x543)),x541)),
% 0.88/0.98 inference(equality_inference,[],[41])).
% 0.88/0.98 cnf(57,plain,
% 0.88/0.98 (E(a4,f7(a4,x571))),
% 0.88/0.98 inference(scs_inference,[],[24,26,38,2])).
% 0.88/0.98 cnf(58,plain,
% 0.88/0.98 (P1(a4,f7(a4,x581))),
% 0.88/0.98 inference(scs_inference,[],[24,28,26,38,2,14])).
% 0.88/0.98 cnf(59,plain,
% 0.88/0.98 (P1(x591,x591)),
% 0.88/0.98 inference(rename_variables,[],[28])).
% 0.88/0.98 cnf(62,plain,
% 0.88/0.98 (~E(a3,a2)),
% 0.88/0.98 inference(scs_inference,[],[24,25,28,59,26,38,2,14,15,16])).
% 0.88/0.98 cnf(67,plain,
% 0.88/0.98 (P3(f9(x671,f8(x672,x673)),x672)),
% 0.88/0.98 inference(rename_variables,[],[54])).
% 0.88/0.98 cnf(68,plain,
% 0.88/0.98 (P3(f9(x681,f8(f7(a4,x682),x683)),a4)),
% 0.88/0.98 inference(scs_inference,[],[24,25,29,28,59,54,67,35,34,26,38,2,14,15,16,18,3,21,22])).
% 0.88/0.98 cnf(73,plain,
% 0.88/0.98 (P4(a3,x731)+~E(a1,x731)),
% 0.88/0.98 inference(scs_inference,[],[24,25,29,28,59,54,67,35,34,33,26,38,2,14,15,16,18,3,21,22,23,39,17])).
% 0.88/0.98 cnf(81,plain,
% 0.88/0.98 (E(x811,f11(f9(x811,f8(x812,x813)),x812))),
% 0.88/0.98 inference(scs_inference,[],[27,31,38,2])).
% 0.88/0.98 cnf(95,plain,
% 0.88/0.98 (P1(a1,x951)+~E(a2,x951)),
% 0.88/0.98 inference(scs_inference,[],[24,25,29,27,58,62,68,57,31,32,34,38,2,19,22,17,14,3,46,39,20,15])).
% 0.88/0.98 cnf(101,plain,
% 0.88/0.98 (E(x1011,f11(f9(x1011,f8(x1012,x1013)),x1012))),
% 0.88/0.98 inference(rename_variables,[],[81])).
% 0.88/0.98 cnf(104,plain,
% 0.88/0.98 (~P4(x1041,x1041)),
% 0.88/0.98 inference(scs_inference,[],[28,81,101,73,95,38])).
% 0.88/0.98 cnf(106,plain,
% 0.88/0.98 (E(x1061,f10(f9(x1062,f8(x1063,x1061)),x1063))),
% 0.88/0.98 inference(scs_inference,[],[28,81,101,32,73,95,38,2])).
% 0.88/0.98 cnf(127,plain,
% 0.88/0.98 (E(x1271,f10(f9(x1272,f8(x1273,x1271)),x1273))),
% 0.88/0.98 inference(rename_variables,[],[106])).
% 0.88/0.98 cnf(128,plain,
% 0.88/0.98 (P1(a1,f10(f9(x1281,f8(x1282,a2)),x1282))),
% 0.88/0.98 inference(scs_inference,[],[106,127,73,95])).
% 0.88/0.98 cnf(129,plain,
% 0.88/0.98 (E(x1291,f10(f9(x1292,f8(x1293,x1291)),x1293))),
% 0.88/0.98 inference(rename_variables,[],[106])).
% 0.88/0.98 cnf(135,plain,
% 0.88/0.98 (E(x1351,f10(f9(x1352,f8(x1353,x1351)),x1353))),
% 0.88/0.98 inference(rename_variables,[],[106])).
% 0.88/0.98 cnf(137,plain,
% 0.88/0.98 (E(x1371,f10(f9(x1372,f8(x1373,x1371)),x1373))),
% 0.88/0.98 inference(rename_variables,[],[106])).
% 0.88/0.98 cnf(138,plain,
% 0.88/0.98 (P5(a6,a3,f10(f9(x1381,f8(x1382,a2)),x1382))),
% 0.88/0.98 inference(scs_inference,[],[24,29,104,58,106,127,129,135,137,73,95,38,16,19,14,20])).
% 0.88/0.98 cnf(297,plain,
% 0.88/0.98 (~P5(f7(a6,a1),a3,f10(f9(x2971,f8(x2972,a2)),x2972))),
% 0.88/0.98 inference(scs_inference,[],[106,44,95])).
% 0.88/0.98 cnf(298,plain,
% 0.88/0.98 ($false),
% 0.88/0.98 inference(scs_inference,[],[297,128,138,50]),
% 0.88/0.98 ['proof']).
% 0.88/0.98 % SZS output end Proof
% 0.88/0.98 % Total time :0.410000s
%------------------------------------------------------------------------------