TSTP Solution File: SYO607+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYO607+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n010.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 : Fri Sep 1 04:08:29 EDT 2023
% Result : Theorem 75.29s 75.31s
% Output : CNFRefutation 75.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO607+1 : TPTP v8.1.2. Released v7.0.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n010.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 : Sat Aug 26 01:27:05 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 75.21/75.30 %-------------------------------------------
% 75.21/75.30 % File :CSE---1.6
% 75.21/75.30 % Problem :theBenchmark
% 75.21/75.30 % Transform :cnf
% 75.21/75.30 % Format :tptp:raw
% 75.21/75.30 % Command :java -jar mcs_scs.jar %d %s
% 75.21/75.30
% 75.21/75.30 % Result :Theorem 74.700000s
% 75.21/75.30 % Output :CNFRefutation 74.700000s
% 75.21/75.30 %-------------------------------------------
% 75.21/75.31 %------------------------------------------------------------------------------
% 75.21/75.31 % File : SYO607+1 : TPTP v8.1.2. Released v7.0.0.
% 75.21/75.31 % Domain : Syntactic
% 75.21/75.31 % Problem : RM3 problem 6
% 75.21/75.31 % Version : Especial.
% 75.21/75.31 % English :
% 75.21/75.31
% 75.21/75.31 % Refs : [Pel16] Pelletier (2016), Email to Geoff Sutcliffe
% 75.21/75.31 % : [PSH17] Pelletier et al. (2017), Automated Reasoning for the D
% 75.21/75.31 % Source : [Pel16]
% 75.21/75.31 % Names : n06.p [Pel16]
% 75.21/75.31
% 75.21/75.31 % Status : Theorem
% 75.21/75.31 % Rating : 0.00 v7.5.0, 0.05 v7.4.0, 0.00 v7.0.0
% 75.21/75.31 % Syntax : Number of formulae : 5 ( 0 unt; 0 def)
% 75.21/75.31 % Number of atoms : 25 ( 0 equ)
% 75.21/75.31 % Maximal formula atoms : 13 ( 5 avg)
% 75.21/75.31 % Number of connectives : 28 ( 8 ~; 5 |; 12 &)
% 75.21/75.31 % ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% 75.21/75.31 % Maximal formula depth : 10 ( 6 avg)
% 75.21/75.31 % Maximal term depth : 1 ( 1 avg)
% 75.21/75.31 % Number of predicates : 5 ( 5 usr; 0 prp; 2-2 aty)
% 75.21/75.31 % Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% 75.21/75.31 % Number of variables : 23 ( 11 !; 12 ?)
% 75.21/75.31 % SPC : FOF_THM_RFO_NEQ
% 75.21/75.31
% 75.21/75.31 % Comments : Translated from RM3 using the truth evaluation approach [PSH17].
% 75.21/75.31 %------------------------------------------------------------------------------
% 75.21/75.31 fof(nc6,conjecture,
% 75.21/75.31 ( ? [A] :
% 75.29/75.31 ( g_false_only(a,A)
% 75.29/75.31 & ? [B] : g_false_only(A,B) )
% 75.29/75.31 | ? [A] :
% 75.29/75.31 ! [B] : g_true_only(A,B)
% 75.29/75.31 | ( ? [A] :
% 75.29/75.31 ( ( g_both(a,A)
% 75.29/75.31 | ( ? [B] : g_both(A,B)
% 75.29/75.31 & ~ ? [B] : g_false_only(A,B) ) )
% 75.29/75.31 & ~ g_true_only(a,A)
% 75.29/75.31 & ~ ! [B] : g_true_only(A,B) )
% 75.29/75.31 & ~ ? [A] :
% 75.29/75.31 ( g_false_only(a,A)
% 75.29/75.31 & ? [B] : g_false_only(A,B) )
% 75.29/75.31 & ? [A] :
% 75.29/75.31 ( ? [B] : g_both(A,B)
% 75.29/75.31 & ~ ? [B] : g_false_only(A,B) )
% 75.29/75.31 & ~ ? [A] :
% 75.29/75.31 ! [B] : g_true_only(A,B) ) ) ).
% 75.29/75.31
% 75.29/75.31 fof(true_only_g,axiom,
% 75.29/75.31 ! [X_2,X_1] :
% 75.29/75.31 ( g_true_only(X_2,X_1)
% 75.29/75.31 <=> ( g_true(X_2,X_1)
% 75.29/75.31 & ~ g_false(X_2,X_1) ) ) ).
% 75.29/75.31
% 75.29/75.31 fof(both_g,axiom,
% 75.29/75.31 ! [X_2,X_1] :
% 75.29/75.31 ( g_both(X_2,X_1)
% 75.29/75.31 <=> ( g_true(X_2,X_1)
% 75.29/75.31 & g_false(X_2,X_1) ) ) ).
% 75.29/75.31
% 75.29/75.31 fof(false_only_g,axiom,
% 75.29/75.31 ! [X_2,X_1] :
% 75.29/75.31 ( g_false_only(X_2,X_1)
% 75.29/75.31 <=> ( g_false(X_2,X_1)
% 75.29/75.31 & ~ g_true(X_2,X_1) ) ) ).
% 75.29/75.31
% 75.29/75.31 fof(exhaustion_g,axiom,
% 75.29/75.31 ! [X_2,X_1] :
% 75.29/75.31 ( g_true_only(X_2,X_1)
% 75.29/75.31 | g_both(X_2,X_1)
% 75.29/75.31 | g_false_only(X_2,X_1) ) ).
% 75.29/75.31
% 75.29/75.31 %------------------------------------------------------------------------------
% 75.29/75.31 %-------------------------------------------
% 75.29/75.31 % Proof found
% 75.29/75.31 % SZS status Theorem for theBenchmark
% 75.29/75.31 % SZS output start Proof
% 75.29/75.31 %ClaNum:16(EqnAxiom:0)
% 75.29/75.31 %VarNum:95(SingletonVarNum:45)
% 75.29/75.31 %MaxLitNum:8
% 75.29/75.31 %MaxfuncDepth:1
% 75.29/75.31 %SharedTerms:6
% 75.29/75.31 %goalClause: 1 6 13 14 15 16
% 75.29/75.31 %singleGoalClaCount:1
% 75.29/75.31 [1]~P1(x11,f1(x11))
% 75.29/75.31 [2]~P1(x21,x22)+P2(x21,x22)
% 75.29/75.31 [3]~P3(x31,x32)+P2(x31,x32)
% 75.29/75.31 [4]~P5(x41,x42)+P4(x41,x42)
% 75.29/75.31 [5]~P3(x51,x52)+P4(x51,x52)
% 75.29/75.31 [6]~P5(x61,x62)+~P5(a2,x61)
% 75.29/75.31 [8]~P2(x81,x82)+~P5(x81,x82)
% 75.29/75.31 [9]~P4(x91,x92)+~P1(x91,x92)
% 75.29/75.31 [7]P1(x71,x72)+P3(x71,x72)+P5(x71,x72)
% 75.29/75.31 [10]P2(x101,x102)+~P4(x101,x102)+P5(x101,x102)
% 75.29/75.31 [11]P4(x111,x112)+~P2(x111,x112)+P1(x111,x112)
% 75.29/75.31 [12]~P2(x121,x122)+~P4(x121,x122)+P3(x121,x122)
% 75.29/75.31 [13]P1(x131,x132)+~P3(x134,x135)+P1(a2,x131)+~P3(a2,x131)+P5(x134,f4(x134))+P1(a3,x133)+P5(a2,a5)
% 75.29/75.31 [14]P1(x141,x142)+~P3(x144,x145)+P1(a2,x141)+~P3(a2,x141)+P5(x144,f4(x144))+P1(a3,x143)+P5(a5,a7)
% 75.29/75.31 [15]P1(x151,x152)+~P3(x154,x155)+~P3(x151,x156)+P1(a2,x151)+P5(x151,f6(x151))+P5(x154,f4(x154))+P1(a3,x153)+P5(a2,a5)
% 75.29/75.31 [16]P1(x161,x162)+~P3(x164,x165)+~P3(x161,x166)+P1(a2,x161)+P5(x161,f6(x161))+P5(x164,f4(x164))+P1(a3,x163)+P5(a5,a7)
% 75.29/75.31 %EqnAxiom
% 75.29/75.31
% 75.29/75.31 %-------------------------------------------
% 75.29/75.32 cnf(18,plain,
% 75.29/75.32 (P5(x181,f1(x181))+P3(x181,f1(x181))),
% 75.29/75.32 inference(scs_inference,[],[1,11,7])).
% 75.29/75.32 cnf(19,plain,
% 75.29/75.32 (P1(x191,x192)+~P3(x193,x194)+P5(x193,f4(x193))+P5(a2,a5)+~P3(a2,x191)+P1(a2,x191)),
% 75.29/75.32 inference(scs_inference,[],[1,13])).
% 75.29/75.32 cnf(20,plain,
% 75.29/75.32 (P1(x201,x202)+~P3(x203,x204)+P5(x203,f4(x203))+P5(a5,a7)+~P3(a2,x201)+P1(a2,x201)),
% 75.29/75.32 inference(scs_inference,[],[1,14])).
% 75.29/75.32 cnf(21,plain,
% 75.29/75.32 (P1(x211,x212)+~P3(x213,x214)+~P3(x211,x215)+P5(x213,f4(x213))+P5(a2,a5)+P5(x211,f6(x211))+P1(a2,x211)),
% 75.29/75.32 inference(scs_inference,[],[1,15])).
% 75.29/75.32 cnf(22,plain,
% 75.29/75.32 (P1(x221,x222)+~P3(x223,x224)+~P3(x221,x225)+P5(x223,f4(x223))+P5(a5,a7)+P5(x221,f6(x221))+P1(a2,x221)),
% 75.29/75.32 inference(scs_inference,[],[1,16])).
% 75.29/75.32 cnf(23,plain,
% 75.29/75.32 (P5(x231,f4(x231))+P1(f1(a2),x232)+~P3(x231,x233)+~P3(a2,f1(a2))+P5(a5,a7)),
% 75.29/75.32 inference(scs_inference,[],[1,20])).
% 75.29/75.32 cnf(24,plain,
% 75.29/75.32 (~P1(x241,f1(x241))),
% 75.29/75.32 inference(rename_variables,[],[1])).
% 75.29/75.32 cnf(25,plain,
% 75.29/75.32 (P5(x251,f4(x251))+P1(f1(a2),x252)+~P3(x251,x253)+P5(a2,a5)+~P3(a2,f1(a2))),
% 75.29/75.32 inference(scs_inference,[],[1,24,20,19])).
% 75.29/75.32 cnf(27,plain,
% 75.29/75.32 (P5(x271,f4(x271))+~P3(x271,x272)+~P3(a2,f1(a2))+P5(a5,a7)),
% 75.29/75.32 inference(scs_inference,[],[1,23])).
% 75.29/75.32 cnf(28,plain,
% 75.29/75.32 (P5(x281,f4(x281))+~P3(x281,x282)+~P3(a2,f1(a2))+P5(a2,a5)),
% 75.29/75.32 inference(scs_inference,[],[1,25])).
% 75.29/75.32 cnf(30,plain,
% 75.29/75.32 (P5(x301,f4(x301))+P5(x302,f6(x302))+~P3(x301,x303)+~P3(x302,x304)+P5(a5,a7)+P1(a2,x302)),
% 75.29/75.32 inference(scs_inference,[],[1,22])).
% 75.29/75.32 cnf(31,plain,
% 75.29/75.32 (P5(x311,f6(x311))+P5(x312,f4(x312))+~P3(x312,x313)+~P3(x311,x314)+P1(a2,x311)+P5(a2,a5)),
% 75.29/75.32 inference(scs_inference,[],[1,22,21])).
% 75.29/75.32 cnf(32,plain,
% 75.29/75.32 (~P5(x321,x322)+~P3(x321,x322)),
% 75.29/75.32 inference(scs_inference,[],[3,8])).
% 75.29/75.32 cnf(40,plain,
% 75.29/75.32 (P3(x401,f1(x401))+~P5(a2,x401)),
% 75.29/75.32 inference(scs_inference,[],[6,18])).
% 75.29/75.32 cnf(53,plain,
% 75.29/75.32 (P2(x531,x532)+P3(x531,x532)+P5(x531,x532)),
% 75.29/75.32 inference(scs_inference,[],[2,7])).
% 75.29/75.32 cnf(69,plain,
% 75.29/75.32 (P5(x691,f4(x691))+P5(f1(a2),f6(f1(a2)))+~P3(x691,x692)+~P3(f1(a2),x693)+P5(a5,a7)),
% 75.29/75.32 inference(scs_inference,[],[1,30])).
% 75.29/75.32 cnf(73,plain,
% 75.29/75.32 (P5(f1(a2),f6(f1(a2)))+P5(x731,f4(x731))+~P3(x731,x732)+~P3(f1(a2),x733)+P5(a2,a5)),
% 75.29/75.32 inference(scs_inference,[],[1,31])).
% 75.29/75.32 cnf(77,plain,
% 75.29/75.32 (P5(x771,x772)+P2(x771,x772)),
% 75.29/75.32 inference(scs_inference,[],[3,53])).
% 75.29/75.32 cnf(167,plain,
% 75.29/75.32 (P4(x1671,f4(x1671))+~P3(x1671,x1672)+~P3(a2,f1(a2))+P5(a2,a5)),
% 75.29/75.32 inference(scs_inference,[],[4,28])).
% 75.29/75.32 cnf(230,plain,
% 75.29/75.32 (P2(x2301,x2302)+~P5(a2,x2301)),
% 75.29/75.32 inference(scs_inference,[],[6,77])).
% 75.29/75.32 cnf(235,plain,
% 75.29/75.32 (P2(a2,x2351)+~P5(x2351,x2352)),
% 75.29/75.32 inference(scs_inference,[],[6,77])).
% 75.29/75.32 cnf(236,plain,
% 75.29/75.32 (P3(x2361,f1(x2361))+P2(a2,x2361)),
% 75.29/75.32 inference(scs_inference,[],[235,18])).
% 75.29/75.32 cnf(411,plain,
% 75.29/75.32 (~P3(a2,f1(a2))+~P3(x4111,x4112)+P5(a5,a7)+~P5(a2,x4111)),
% 75.29/75.32 inference(scs_inference,[],[6,27])).
% 75.29/75.32 cnf(412,plain,
% 75.29/75.32 (~P3(x4121,x4122)+~P3(a2,f1(a2))+~P5(a2,a5)+~P5(a2,x4121)),
% 75.29/75.32 inference(scs_inference,[],[6,411])).
% 75.29/75.32 cnf(413,plain,
% 75.29/75.32 (~P3(a2,f1(a2))+~P3(x4131,x4132)+~P5(a2,x4131)+P5(a2,a5)),
% 75.29/75.32 inference(scs_inference,[],[6,28])).
% 75.29/75.32 cnf(474,plain,
% 75.29/75.32 (P5(x4741,f4(x4741))+~P3(x4741,x4742)+P5(f1(a2),f6(f1(a2)))+~P3(f1(a2),x4743)+~P5(a2,a5)),
% 75.29/75.32 inference(scs_inference,[],[6,69])).
% 75.29/75.32 cnf(475,plain,
% 75.29/75.32 (P5(f1(a2),f6(f1(a2)))+~P5(a2,a5)+~P3(x4751,x4752)+~P3(f1(a2),x4753)+~P5(a2,x4751)),
% 75.29/75.32 inference(scs_inference,[],[6,474])).
% 75.29/75.32 cnf(476,plain,
% 75.29/75.32 (~P5(a2,a5)+~P3(x4761,x4762)+~P3(f1(a2),x4763)+~P5(a2,f1(a2))+~P5(a2,x4761)),
% 75.29/75.32 inference(scs_inference,[],[6,475])).
% 75.29/75.32 cnf(479,plain,
% 75.29/75.32 (P5(x4791,f4(x4791))+~P3(x4791,x4792)+~P3(f1(a2),x4793)+~P5(a2,f1(a2))+P5(a2,a5)),
% 75.29/75.32 inference(scs_inference,[],[6,73])).
% 75.29/75.32 cnf(480,plain,
% 75.29/75.32 (~P3(x4801,x4802)+~P5(a2,f1(a2))+~P3(f1(a2),x4803)+~P5(a2,x4801)+P5(a2,a5)),
% 75.29/75.32 inference(scs_inference,[],[6,479])).
% 75.29/75.32 cnf(550,plain,
% 75.29/75.32 (~P2(a2,a5)+~P3(a2,f1(a2))+~P3(x5501,x5502)+~P5(a2,x5501)),
% 75.29/75.32 inference(scs_inference,[],[8,413])).
% 75.29/75.32 cnf(648,plain,
% 75.29/75.32 (P4(x6481,f4(x6481))+~P2(a2,a5)+~P3(a2,f1(a2))+~P3(x6481,x6482)),
% 75.29/75.32 inference(scs_inference,[],[8,167])).
% 75.29/75.32 cnf(721,plain,
% 75.29/75.32 (~P2(x7211,f4(x7211))+~P3(a2,f1(a2))+~P3(x7211,x7212)+P5(a2,a5)),
% 75.29/75.32 inference(scs_inference,[],[8,28])).
% 75.29/75.32 cnf(722,plain,
% 75.29/75.32 (~P2(a2,a5)+~P3(x7221,x7222)+~P3(a2,f1(a2))+~P2(x7221,f4(x7221))),
% 75.29/75.32 inference(scs_inference,[],[8,721])).
% 75.29/75.32 cnf(731,plain,
% 75.29/75.32 (P5(x7311,f4(x7311))+~P2(a2,a5)+~P3(a2,f1(a2))+~P3(x7311,x7312)),
% 75.29/75.32 inference(scs_inference,[],[8,28])).
% 75.29/75.32 cnf(1123,plain,
% 75.29/75.32 (P2(a2,x11231)+P2(x11231,x11232)),
% 75.29/75.32 inference(scs_inference,[],[77,230])).
% 75.29/75.32 cnf(1194,plain,
% 75.29/75.32 (P2(a2,a5)+~P3(a5,x11941)+~P3(a2,f1(a2))),
% 75.29/75.32 inference(scs_inference,[],[77,412])).
% 75.29/75.32 cnf(1195,plain,
% 75.29/75.32 (P5(a2,f1(a2))+P2(a2,a5)+~P3(a5,x11951)),
% 75.29/75.32 inference(scs_inference,[],[1194,18])).
% 75.29/75.32 cnf(1196,plain,
% 75.29/75.32 (~P5(a2,a5)+P5(a2,f1(a2))+~P3(a5,x11961)),
% 75.29/75.32 inference(scs_inference,[],[1195,8])).
% 75.29/75.32 cnf(1200,plain,
% 75.29/75.32 (P5(a2,f1(a2))+~P5(a2,a5)),
% 75.29/75.32 inference(scs_inference,[],[1196,40])).
% 75.29/75.32 cnf(1286,plain,
% 75.29/75.32 (~P5(a2,a5)+~P5(a2,f1(a2))),
% 75.29/75.32 inference(scs_inference,[],[40,476])).
% 75.29/75.32 cnf(1287,plain,
% 75.29/75.32 (~P5(a2,a5)+P3(a2,f1(a2))),
% 75.29/75.32 inference(scs_inference,[],[1286,18])).
% 75.29/75.32 cnf(1346,plain,
% 75.29/75.32 (P5(a2,a5)+~P5(a2,f1(a2))),
% 75.29/75.32 inference(scs_inference,[],[40,480])).
% 75.29/75.32 cnf(1349,plain,
% 75.29/75.32 (P3(a2,f1(a2))+P5(a2,a5)),
% 75.29/75.32 inference(scs_inference,[],[1346,18])).
% 75.29/75.32 cnf(1720,plain,
% 75.29/75.32 (~P5(a2,a5)+~P3(a2,f1(a2))),
% 75.29/75.32 inference(scs_inference,[],[1200,32])).
% 75.29/75.32 cnf(1721,plain,
% 75.29/75.32 (~P5(a2,a5)),
% 75.29/75.32 inference(scs_inference,[],[1720,1287])).
% 75.29/75.32 cnf(1722,plain,
% 75.29/75.32 (~P3(x17221,x17222)+~P3(a2,f1(a2))+P5(x17221,f4(x17221))),
% 75.29/75.32 inference(scs_inference,[],[1721,28])).
% 75.29/75.32 cnf(1753,plain,
% 75.29/75.32 (P3(a2,f1(a2))),
% 75.29/75.32 inference(scs_inference,[],[1721,1349])).
% 75.29/75.32 cnf(1755,plain,
% 75.29/75.32 (P2(a2,a5)),
% 75.29/75.32 inference(scs_inference,[],[1721,77])).
% 75.29/75.32 cnf(1782,plain,
% 75.29/75.32 (~P3(x17821,x17822)+~P5(a2,x17821)),
% 75.29/75.32 inference(scs_inference,[],[1753,1755,550])).
% 75.29/75.32 cnf(1792,plain,
% 75.29/75.32 (P4(x17921,f4(x17921))+~P3(x17921,x17922)),
% 75.29/75.32 inference(scs_inference,[],[1755,1753,648])).
% 75.29/75.32 cnf(1806,plain,
% 75.29/75.32 (~P2(x18061,f4(x18061))+~P3(x18061,x18062)),
% 75.29/75.32 inference(scs_inference,[],[1753,1755,722])).
% 75.29/75.32 cnf(1809,plain,
% 75.29/75.32 (P5(x18091,f4(x18091))+~P3(x18091,x18092)),
% 75.29/75.32 inference(scs_inference,[],[1755,1753,731])).
% 75.29/75.32 cnf(1819,plain,
% 75.29/75.32 (P5(x18191,f4(x18191))+~P3(x18191,x18192)),
% 75.29/75.32 inference(scs_inference,[],[1753,1722])).
% 75.29/75.32 cnf(1842,plain,
% 75.29/75.32 ($false),
% 75.29/75.32 inference(scs_inference,[],[1753,1782,1792,1806,1809,1123,9,6,1819,236]),
% 75.29/75.32 ['proof']).
% 75.29/75.32 % SZS output end Proof
% 75.29/75.32 % Total time :74.700000s
%------------------------------------------------------------------------------