TSTP Solution File: KRS052+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : KRS052+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n008.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 : Wed Aug 31 17:30:41 EDT 2022

% Result   : Satisfiable 1.34s 0.53s
% Output   : Saturation 1.34s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(u284,axiom,
    ( ~ sP2(X0)
    | cinfinite(X0) ) ).

cnf(u276,axiom,
    ( ~ sP2(X0)
    | rinvP_1_to_N(X0,sK24(X0)) ) ).

cnf(u277,axiom,
    ( ~ sP2(X0)
    | rinvP_1_to_N(X0,sK25(X0)) ) ).

cnf(u275,axiom,
    ( ~ sP2(X0)
    | sK24(X0) != sK25(X0) ) ).

cnf(u372,axiom,
    sP1(X2) ).

cnf(u349,axiom,
    sP0(X2) ).

cnf(u203,axiom,
    ( xsd_string(X0)
    | xsd_integer(X0) ) ).

cnf(u202,axiom,
    ( ~ xsd_integer(X0)
    | ~ xsd_string(X0) ) ).

cnf(u341,axiom,
    ( rr_N_times_M_to_1(sK8(X5),X5)
    | sP0(X5) ) ).

cnf(u340,axiom,
    ( rr_N_times_M_to_1(sK7(X4),X4)
    | sP0(X4) ) ).

cnf(u339,axiom,
    ( rr_N_times_M_to_1(sK6(X3),X3)
    | sP0(X3) ) ).

cnf(u338,axiom,
    ( rr_N_times_M_to_1(sK5(X2),X2)
    | sP0(X2) ) ).

cnf(u337,axiom,
    ( rr_N_times_M_to_1(sK4(X1),X1)
    | sP0(X1) ) ).

cnf(u336,axiom,
    ( rr_N_times_M_to_1(sK3(X0),X0)
    | sP0(X0) ) ).

cnf(u250,axiom,
    ( ~ rr_N_times_M_to_1(X1,X0)
    | cinfinite(X0) ) ).

cnf(u313,axiom,
    ( ~ rr_N_times_M_to_1(X1,X0)
    | ccardinality_N_times_M(X1) ) ).

cnf(u290,axiom,
    ( ~ rr_N_times_M_to_1(X0,X1)
    | rinvR_N_times_M_to_1(X1,X0) ) ).

cnf(u247,axiom,
    ( ~ rr_N_times_M_to_1(X0,X1)
    | ~ rr_N_times_M_to_1(X0,X2)
    | X1 = X2 ) ).

cnf(u345,axiom,
    ( rq_M_to_1(sK17(X3),X3)
    | sP1(X3) ) ).

cnf(u344,axiom,
    ( rq_M_to_1(sK16(X2),X2)
    | sP1(X2) ) ).

cnf(u343,axiom,
    ( rq_M_to_1(sK15(X1),X1)
    | sP1(X1) ) ).

cnf(u342,axiom,
    ( rq_M_to_1(sK14(X0),X0)
    | sP1(X0) ) ).

cnf(u201,axiom,
    ( ~ rq_M_to_1(X0,X1)
    | ccardinality_N(X1) ) ).

cnf(u335,axiom,
    ( ~ rq_M_to_1(X0,X1)
    | ccardinality_N_times_M(X0) ) ).

cnf(u296,axiom,
    ( ~ rq_M_to_1(X0,X1)
    | rinvQ_1_to_M(X1,X0) ) ).

cnf(u310,axiom,
    ( ~ rq_M_to_1(X1,X2)
    | ~ rq_M_to_1(X1,X0)
    | X0 = X2 ) ).

cnf(u246,axiom,
    ( ~ rp_N_to_1(X1,X0)
    | ccardinality_N(X1) ) ).

cnf(u314,axiom,
    ( ~ rp_N_to_1(X1,X0)
    | cinfinite(X0) ) ).

cnf(u294,axiom,
    ( ~ rp_N_to_1(X1,X0)
    | rinvP_1_to_N(X0,X1) ) ).

cnf(u306,axiom,
    ( ~ rp_N_to_1(X0,X1)
    | X1 = X2
    | ~ rp_N_to_1(X0,X2) ) ).

cnf(u209,axiom,
    ( rinvR_N_times_M_to_1(X0,sK8(X0))
    | sP0(X0) ) ).

cnf(u208,axiom,
    ( rinvR_N_times_M_to_1(X0,sK7(X0))
    | sP0(X0) ) ).

cnf(u212,axiom,
    ( rinvR_N_times_M_to_1(X0,sK6(X0))
    | sP0(X0) ) ).

cnf(u221,axiom,
    ( rinvR_N_times_M_to_1(X0,sK5(X0))
    | sP0(X0) ) ).

cnf(u218,axiom,
    ( rinvR_N_times_M_to_1(X0,sK4(X0))
    | sP0(X0) ) ).

cnf(u215,axiom,
    ( rinvR_N_times_M_to_1(X0,sK3(X0))
    | sP0(X0) ) ).

cnf(u291,axiom,
    ( ~ rinvR_N_times_M_to_1(X1,X0)
    | rr_N_times_M_to_1(X0,X1) ) ).

cnf(u243,axiom,
    ( ~ rinvR_N_times_M_to_1(X0,X5)
    | ~ sP0(X0)
    | X3 = X4
    | cinfinite(X0)
    | X2 = X4
    | ~ rinvR_N_times_M_to_1(X0,X1)
    | ~ rinvR_N_times_M_to_1(X0,X4)
    | X4 = X5
    | ~ rinvR_N_times_M_to_1(X0,X2)
    | X3 = X5
    | X2 = X5
    | X1 = X2
    | ~ rinvR_N_times_M_to_1(X0,X3)
    | X1 = X3
    | X2 = X3
    | X1 = X4
    | X1 = X5 ) ).

cnf(u205,axiom,
    ( ~ rinvR_N_times_M_to_1(X0,X9)
    | ~ rinvR_N_times_M_to_1(X0,X7)
    | ~ rinvR_N_times_M_to_1(X0,X12)
    | X7 = X10
    | X9 = X12
    | X8 = X9
    | X8 = X10
    | ~ rinvR_N_times_M_to_1(X0,X11)
    | X8 = X12
    | X9 = X11
    | X7 = X8
    | X9 = X10
    | ~ rinvR_N_times_M_to_1(X0,X10)
    | ~ rinvR_N_times_M_to_1(X0,X8)
    | X11 = X12
    | X7 = X12
    | X7 = X9
    | X8 = X11
    | ~ sP0(X0)
    | X10 = X11
    | X10 = X12
    | X7 = X11 ) ).

cnf(u256,axiom,
    ( rinvQ_1_to_M(X0,sK17(X0))
    | sP1(X0) ) ).

cnf(u264,axiom,
    ( rinvQ_1_to_M(X0,sK16(X0))
    | sP1(X0) ) ).

cnf(u258,axiom,
    ( rinvQ_1_to_M(X0,sK15(X0))
    | sP1(X0) ) ).

cnf(u262,axiom,
    ( rinvQ_1_to_M(X0,sK14(X0))
    | sP1(X0) ) ).

cnf(u297,axiom,
    ( ~ rinvQ_1_to_M(X1,X0)
    | rq_M_to_1(X0,X1) ) ).

cnf(u265,axiom,
    ( ~ rinvQ_1_to_M(X0,X5)
    | ~ rinvQ_1_to_M(X0,X4)
    | ~ sP1(X0)
    | ccardinality_N(X0)
    | X5 = X6
    | X4 = X5
    | ~ rinvQ_1_to_M(X0,X6)
    | X4 = X6 ) ).

cnf(u254,axiom,
    ( ~ rinvQ_1_to_M(X0,X7)
    | ~ rinvQ_1_to_M(X0,X6)
    | X5 = X8
    | X5 = X6
    | X6 = X7
    | ~ rinvQ_1_to_M(X0,X8)
    | ~ sP1(X0)
    | X6 = X8
    | X7 = X8
    | X5 = X7
    | ~ rinvQ_1_to_M(X0,X5) ) ).

cnf(u295,axiom,
    ( ~ rinvP_1_to_N(X0,X1)
    | rp_N_to_1(X1,X0) ) ).

cnf(u283,axiom,
    ( ~ rinvP_1_to_N(X0,X1)
    | ~ rinvP_1_to_N(X0,X2)
    | X1 = X2
    | sP2(X0)
    | rinvP_1_to_N(X0,sK22(X0)) ) ).

cnf(u282,axiom,
    ( ~ rinvP_1_to_N(X0,X1)
    | sP2(X0)
    | X1 = X2
    | ~ rinvP_1_to_N(X0,X2)
    | sK21(X0) != sK23(X0) ) ).

cnf(u281,axiom,
    ( ~ rinvP_1_to_N(X0,X2)
    | ~ rinvP_1_to_N(X0,X1)
    | rinvP_1_to_N(X0,sK23(X0))
    | X1 = X2
    | sP2(X0) ) ).

cnf(u280,axiom,
    ( ~ rinvP_1_to_N(X0,X2)
    | rinvP_1_to_N(X0,sK21(X0))
    | X1 = X2
    | ~ rinvP_1_to_N(X0,X1)
    | sP2(X0) ) ).

cnf(u279,axiom,
    ( ~ rinvP_1_to_N(X0,X1)
    | sK21(X0) != sK22(X0)
    | X1 = X2
    | sP2(X0)
    | ~ rinvP_1_to_N(X0,X2) ) ).

cnf(u278,axiom,
    ( ~ rinvP_1_to_N(X0,X2)
    | sP2(X0)
    | sK22(X0) != sK23(X0)
    | X1 = X2
    | ~ rinvP_1_to_N(X0,X1) ) ).

cnf(u274,axiom,
    ( ~ rinvP_1_to_N(X0,X9)
    | X9 = X10
    | ~ sP2(X0)
    | ~ rinvP_1_to_N(X0,X10)
    | X8 = X9
    | ~ rinvP_1_to_N(X0,X8)
    | X8 = X10 ) ).

cnf(u252,axiom,
    cowlThing(X0) ).

cnf(u251,axiom,
    ~ cowlNothing(X0) ).

cnf(u285,axiom,
    ( ~ cinfinite(X0)
    | sP2(X0) ) ).

cnf(u242,axiom,
    ( ~ cinfinite(X0)
    | sP0(X0) ) ).

cnf(u241,axiom,
    ( ~ cinfinite(X0)
    | rinvR_N_times_M_to_1(X0,sK13(X0)) ) ).

cnf(u240,axiom,
    ( ~ cinfinite(X0)
    | sK12(X0) != sK10(X0) ) ).

cnf(u239,axiom,
    ( ~ cinfinite(X0)
    | sK12(X0) != sK11(X0) ) ).

cnf(u238,axiom,
    ( ~ cinfinite(X0)
    | rinvR_N_times_M_to_1(X0,sK10(X0)) ) ).

cnf(u237,axiom,
    ( ~ cinfinite(X0)
    | sK13(X0) != sK11(X0) ) ).

cnf(u236,axiom,
    ( ~ cinfinite(X0)
    | sK11(X0) != sK9(X0) ) ).

cnf(u235,axiom,
    ( ~ cinfinite(X0)
    | sK13(X0) != sK9(X0) ) ).

cnf(u234,axiom,
    ( ~ cinfinite(X0)
    | sK10(X0) != sK9(X0) ) ).

cnf(u233,axiom,
    ( ~ cinfinite(X0)
    | rinvR_N_times_M_to_1(X0,sK12(X0)) ) ).

cnf(u232,axiom,
    ( ~ cinfinite(X0)
    | sK10(X0) != sK11(X0) ) ).

cnf(u231,axiom,
    ( ~ cinfinite(X0)
    | rinvR_N_times_M_to_1(X0,sK9(X0)) ) ).

cnf(u230,axiom,
    ( ~ cinfinite(X0)
    | rinvR_N_times_M_to_1(X0,sK11(X0)) ) ).

cnf(u229,axiom,
    ( ~ cinfinite(X0)
    | sK13(X0) != sK12(X0) ) ).

cnf(u228,axiom,
    ( ~ cinfinite(X0)
    | sK13(X0) != sK10(X0) ) ).

cnf(u227,axiom,
    ( ~ cinfinite(X0)
    | sK12(X0) != sK9(X0) ) ).

cnf(u370,axiom,
    ( ccardinality_N_times_M(sK14(X1))
    | sP1(X1) ) ).

cnf(u347,axiom,
    ( ccardinality_N_times_M(sK3(X1))
    | sP0(X1) ) ).

cnf(u288,axiom,
    ( ~ ccardinality_N_times_M(X0)
    | cinfinite(sK26(X0)) ) ).

cnf(u299,axiom,
    ( ~ ccardinality_N_times_M(X0)
    | ccardinality_N(sK27(X0)) ) ).

cnf(u287,axiom,
    ( ~ ccardinality_N_times_M(X0)
    | rr_N_times_M_to_1(X0,sK26(X0)) ) ).

cnf(u298,axiom,
    ( ~ ccardinality_N_times_M(X0)
    | rq_M_to_1(X0,sK27(X0)) ) ).

cnf(u305,axiom,
    ( ~ ccardinality_N(X0)
    | cinfinite(sK28(X0)) ) ).

cnf(u304,axiom,
    ( ~ ccardinality_N(X0)
    | rp_N_to_1(X0,sK28(X0)) ) ).

cnf(u272,axiom,
    ( ~ ccardinality_N(X0)
    | sK20(X0) != sK19(X0) ) ).

cnf(u271,axiom,
    ( ~ ccardinality_N(X0)
    | rinvQ_1_to_M(X0,sK18(X0)) ) ).

cnf(u270,axiom,
    ( ~ ccardinality_N(X0)
    | rinvQ_1_to_M(X0,sK20(X0)) ) ).

cnf(u269,axiom,
    ( ~ ccardinality_N(X0)
    | sK20(X0) != sK18(X0) ) ).

cnf(u268,axiom,
    ( ~ ccardinality_N(X0)
    | rinvQ_1_to_M(X0,sK19(X0)) ) ).

cnf(u267,axiom,
    ( ~ ccardinality_N(X0)
    | sK19(X0) != sK18(X0) ) ).

cnf(u266,axiom,
    ( ~ ccardinality_N(X0)
    | sP1(X0) ) ).

cnf(u260,axiom,
    ( sK16(X0) != sK17(X0)
    | sP1(X0) ) ).

cnf(u259,axiom,
    ( sK14(X0) != sK17(X0)
    | sP1(X0) ) ).

cnf(u263,axiom,
    ( sK16(X0) != sK15(X0)
    | sP1(X0) ) ).

cnf(u261,axiom,
    ( sK14(X0) != sK15(X0)
    | sP1(X0) ) ).

cnf(u255,axiom,
    ( sK17(X0) != sK15(X0)
    | sP1(X0) ) ).

cnf(u257,axiom,
    ( sK16(X0) != sK14(X0)
    | sP1(X0) ) ).

cnf(u220,axiom,
    ( sK7(X0) != sK8(X0)
    | sP0(X0) ) ).

cnf(u222,axiom,
    ( sK6(X0) != sK8(X0)
    | sP0(X0) ) ).

cnf(u214,axiom,
    ( sK5(X0) != sK8(X0)
    | sP0(X0) ) ).

cnf(u206,axiom,
    ( sK4(X0) != sK8(X0)
    | sP0(X0) ) ).

cnf(u207,axiom,
    ( sK3(X0) != sK8(X0)
    | sP0(X0) ) ).

cnf(u223,axiom,
    ( sK6(X0) != sK7(X0)
    | sP0(X0) ) ).

cnf(u224,axiom,
    ( sK5(X0) != sK7(X0)
    | sP0(X0) ) ).

cnf(u225,axiom,
    ( sK4(X0) != sK7(X0)
    | sP0(X0) ) ).

cnf(u216,axiom,
    ( sK3(X0) != sK7(X0)
    | sP0(X0) ) ).

cnf(u213,axiom,
    ( sK6(X0) != sK5(X0)
    | sP0(X0) ) ).

cnf(u219,axiom,
    ( sK5(X0) != sK4(X0)
    | sP0(X0) ) ).

cnf(u211,axiom,
    ( sK6(X0) != sK4(X0)
    | sP0(X0) ) ).

cnf(u226,axiom,
    ( sK4(X0) != sK3(X0)
    | sP0(X0) ) ).

cnf(u217,axiom,
    ( sK6(X0) != sK3(X0)
    | sP0(X0) ) ).

cnf(u210,axiom,
    ( sK5(X0) != sK3(X0)
    | sP0(X0) ) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : KRS052+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n008.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 00:34:55 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.50  % (895)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.50  % (891)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.50  % (890)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.50  % (897)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.51  % (887)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.51  % (889)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.34/0.52  % (912)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.34/0.52  % (904)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.34/0.52  % (919)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.34/0.52  % (902)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.34/0.53  TRYING [1]
% 1.34/0.53  % (889)First to succeed.
% 1.34/0.53  % (907)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.34/0.53  Finite Model Found!
% 1.34/0.53  % SZS status Satisfiable for theBenchmark
% 1.34/0.53  % (911)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.34/0.53  % (886)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.34/0.53  % (892)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.34/0.53  % (919)Refutation not found, incomplete strategy% (919)------------------------------
% 1.34/0.53  % (919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.53  % (919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.53  % (919)Termination reason: Refutation not found, incomplete strategy
% 1.34/0.53  
% 1.34/0.53  % (919)Memory used [KB]: 5628
% 1.34/0.53  % (919)Time elapsed: 0.141 s
% 1.34/0.53  % (919)Instructions burned: 6 (million)
% 1.34/0.53  % (919)------------------------------
% 1.34/0.53  % (919)------------------------------
% 1.34/0.53  % (914)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.34/0.53  % SZS status Satisfiable for theBenchmark
% 1.34/0.53  % (889)# SZS output start Saturation.
% See solution above
% 1.34/0.53  % (889)------------------------------
% 1.34/0.53  % (889)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.53  % (889)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.53  % (889)Termination reason: Satisfiable
% 1.34/0.53  
% 1.34/0.53  % (889)Memory used [KB]: 5628
% 1.34/0.53  % (889)Time elapsed: 0.112 s
% 1.34/0.53  % (889)Instructions burned: 9 (million)
% 1.34/0.53  % (889)------------------------------
% 1.34/0.53  % (889)------------------------------
% 1.34/0.53  % (884)Success in time 0.181 s
%------------------------------------------------------------------------------