TSTP Solution File: SYN542+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN542+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n026.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 : Tue Apr 30 18:04:21 EDT 2024

% Result   : CounterSatisfiable 0.15s 0.39s
% Output   : FiniteModel 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN542+1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n026.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 02:11:19 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (4083)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (4086)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.37  % (4088)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37  % (4084)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37  % (4089)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37  % (4085)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37  % (4087)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37  % (4090)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  Detected maximum model sizes of [59]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  Detected maximum model sizes of [59]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  Detected maximum model sizes of [59]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  Detected minimum model sizes of [1]
% 0.15/0.38  Detected maximum model sizes of [59]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  Finite Model Found!
% 0.15/0.39  TRYING [3]
% 0.15/0.39  % SZS status CounterSatisfiable for theBenchmark
% 0.15/0.39  % (4084)First to succeed.
% 0.15/0.39  % SZS output start FiniteModel for theBenchmark
% 0.15/0.39  tff(declare_$i,type,$i:$tType).
% 0.15/0.39  tff(declare_$i1,type,a1:$i).
% 0.15/0.39  tff(declare_$i2,type,a5:$i).
% 0.15/0.39  tff(declare_$i3,type,a10:$i).
% 0.15/0.39  tff(finite_domain,axiom,
% 0.15/0.39        ! [X:$i] : (
% 0.15/0.39           X = a1 | X = a5 | X = a10
% 0.15/0.39        ) ).
% 0.15/0.39  
% 0.15/0.39  tff(distinct_domain,axiom,
% 0.15/0.39           a1 != a5 & a1 != a10 & a5 != a10
% 0.15/0.39  ).
% 0.15/0.39  
% 0.15/0.39  tff(declare_bool,type,$o:$tType).
% 0.15/0.39  tff(declare_bool1,type,fmb_bool_1:$o).
% 0.15/0.39  tff(finite_domain,axiom,
% 0.15/0.39        ! [X:$o] : (
% 0.15/0.39           X = fmb_bool_1
% 0.15/0.39        ) ).
% 0.15/0.39  
% 0.15/0.39  tff(declare_a3,type,a3:$i).
% 0.15/0.39  tff(a3_definition,axiom,a3 = a1).
% 0.15/0.39  tff(declare_a6,type,a6:$i).
% 0.15/0.39  tff(a6_definition,axiom,a6 = a1).
% 0.15/0.39  tff(declare_a7,type,a7:$i).
% 0.15/0.39  tff(a7_definition,axiom,a7 = a5).
% 0.15/0.39  tff(declare_a8,type,a8:$i).
% 0.15/0.39  tff(a8_definition,axiom,a8 = a1).
% 0.15/0.39  tff(declare_a9,type,a9:$i).
% 0.15/0.39  tff(a9_definition,axiom,a9 = a5).
% 0.15/0.39  tff(declare_a11,type,a11:$i).
% 0.15/0.39  tff(a11_definition,axiom,a11 = a5).
% 0.15/0.39  tff(declare_a12,type,a12:$i).
% 0.15/0.39  tff(a12_definition,axiom,a12 = a10).
% 0.15/0.39  tff(declare_a14,type,a14:$i).
% 0.15/0.39  tff(a14_definition,axiom,a14 = a10).
% 0.15/0.39  tff(declare_a15,type,a15:$i).
% 0.15/0.39  tff(a15_definition,axiom,a15 = a1).
% 0.15/0.39  tff(declare_a17,type,a17:$i).
% 0.15/0.39  tff(a17_definition,axiom,a17 = a1).
% 0.15/0.39  tff(declare_a19,type,a19:$i).
% 0.15/0.39  tff(a19_definition,axiom,a19 = a1).
% 0.15/0.39  tff(declare_a20,type,a20:$i).
% 0.15/0.39  tff(a20_definition,axiom,a20 = a10).
% 0.15/0.39  tff(declare_a21,type,a21:$i).
% 0.15/0.39  tff(a21_definition,axiom,a21 = a1).
% 0.15/0.39  tff(declare_a22,type,a22:$i).
% 0.15/0.39  tff(a22_definition,axiom,a22 = a1).
% 0.15/0.39  tff(declare_a23,type,a23:$i).
% 0.15/0.39  tff(a23_definition,axiom,a23 = a1).
% 0.15/0.39  tff(declare_a24,type,a24:$i).
% 0.15/0.39  tff(a24_definition,axiom,a24 = a1).
% 0.15/0.39  tff(declare_a25,type,a25:$i).
% 0.15/0.39  tff(a25_definition,axiom,a25 = a5).
% 0.15/0.39  tff(declare_a26,type,a26:$i).
% 0.15/0.39  tff(a26_definition,axiom,a26 = a1).
% 0.15/0.39  tff(declare_a27,type,a27:$i).
% 0.15/0.39  tff(a27_definition,axiom,a27 = a1).
% 0.15/0.39  tff(declare_a28,type,a28:$i).
% 0.15/0.39  tff(a28_definition,axiom,a28 = a10).
% 0.15/0.39  tff(declare_a29,type,a29:$i).
% 0.15/0.39  tff(a29_definition,axiom,a29 = a1).
% 0.15/0.39  tff(declare_a30,type,a30:$i).
% 0.15/0.39  tff(a30_definition,axiom,a30 = a5).
% 0.15/0.39  tff(declare_a31,type,a31:$i).
% 0.15/0.39  tff(a31_definition,axiom,a31 = a5).
% 0.15/0.39  tff(declare_a32,type,a32:$i).
% 0.15/0.39  tff(a32_definition,axiom,a32 = a5).
% 0.15/0.39  tff(declare_a33,type,a33:$i).
% 0.15/0.39  tff(a33_definition,axiom,a33 = a5).
% 0.15/0.39  tff(declare_a34,type,a34:$i).
% 0.15/0.39  tff(a34_definition,axiom,a34 = a5).
% 0.15/0.39  tff(declare_a35,type,a35:$i).
% 0.15/0.39  tff(a35_definition,axiom,a35 = a1).
% 0.15/0.39  tff(declare_a36,type,a36:$i).
% 0.15/0.39  tff(a36_definition,axiom,a36 = a5).
% 0.15/0.39  tff(declare_a37,type,a37:$i).
% 0.15/0.39  tff(a37_definition,axiom,a37 = a1).
% 0.15/0.39  tff(declare_a41,type,a41:$i).
% 0.15/0.39  tff(a41_definition,axiom,a41 = a1).
% 0.15/0.39  tff(declare_a45,type,a45:$i).
% 0.15/0.39  tff(a45_definition,axiom,a45 = a1).
% 0.15/0.39  tff(declare_a46,type,a46:$i).
% 0.15/0.39  tff(a46_definition,axiom,a46 = a10).
% 0.15/0.39  tff(declare_a49,type,a49:$i).
% 0.15/0.39  tff(a49_definition,axiom,a49 = a5).
% 0.15/0.39  tff(declare_a50,type,a50:$i).
% 0.15/0.39  tff(a50_definition,axiom,a50 = a10).
% 0.15/0.39  tff(declare_a51,type,a51:$i).
% 0.15/0.39  tff(a51_definition,axiom,a51 = a10).
% 0.15/0.39  tff(declare_a54,type,a54:$i).
% 0.15/0.39  tff(a54_definition,axiom,a54 = a5).
% 0.15/0.39  tff(declare_a59,type,a59:$i).
% 0.15/0.39  tff(a59_definition,axiom,a59 = a5).
% 0.15/0.39  tff(declare_a61,type,a61:$i).
% 0.15/0.39  tff(a61_definition,axiom,a61 = a10).
% 0.15/0.39  tff(declare_a62,type,a62:$i).
% 0.15/0.39  tff(a62_definition,axiom,a62 = a1).
% 0.15/0.39  tff(declare_a66,type,a66:$i).
% 0.15/0.39  tff(a66_definition,axiom,a66 = a10).
% 0.15/0.39  tff(declare_a67,type,a67:$i).
% 0.15/0.39  tff(a67_definition,axiom,a67 = a5).
% 0.15/0.39  tff(declare_a68,type,a68:$i).
% 0.15/0.39  tff(a68_definition,axiom,a68 = a10).
% 0.15/0.39  tff(declare_a71,type,a71:$i).
% 0.15/0.39  tff(a71_definition,axiom,a71 = a1).
% 0.15/0.39  tff(declare_a73,type,a73:$i).
% 0.15/0.39  tff(a73_definition,axiom,a73 = a10).
% 0.15/0.39  tff(declare_a75,type,a75:$i).
% 0.15/0.39  tff(a75_definition,axiom,a75 = a1).
% 0.15/0.39  tff(declare_a76,type,a76:$i).
% 0.15/0.39  tff(a76_definition,axiom,a76 = a5).
% 0.15/0.39  tff(declare_a2,type,a2:$i).
% 0.15/0.39  tff(a2_definition,axiom,a2 = a1).
% 0.15/0.39  tff(declare_a4,type,a4:$i).
% 0.15/0.39  tff(a4_definition,axiom,a4 = a5).
% 0.15/0.39  tff(declare_a40,type,a40:$i).
% 0.15/0.39  tff(a40_definition,axiom,a40 = a1).
% 0.15/0.39  tff(declare_a42,type,a42:$i).
% 0.15/0.39  tff(a42_definition,axiom,a42 = a5).
% 0.15/0.39  tff(declare_a44,type,a44:$i).
% 0.15/0.39  tff(a44_definition,axiom,a44 = a1).
% 0.15/0.39  tff(declare_a47,type,a47:$i).
% 0.15/0.39  tff(a47_definition,axiom,a47 = a5).
% 0.15/0.39  tff(declare_a56,type,a56:$i).
% 0.15/0.39  tff(a56_definition,axiom,a56 = a1).
% 0.15/0.39  tff(declare_a60,type,a60:$i).
% 0.15/0.39  tff(a60_definition,axiom,a60 = a5).
% 0.15/0.39  tff(declare_a63,type,a63:$i).
% 0.15/0.39  tff(a63_definition,axiom,a63 = a1).
% 0.15/0.39  tff(declare_a64,type,a64:$i).
% 0.15/0.39  tff(a64_definition,axiom,a64 = a10).
% 0.15/0.39  tff(declare_hskp0,type,hskp0: $o).tff(hskp0_definition,axiom,hskp0).
% 0.15/0.39  tff(declare_ndr1_0,type,ndr1_0: $o).tff(ndr1_0_definition,axiom,ndr1_0).
% 0.15/0.39  tff(declare_hskp1,type,hskp1: $o).tff(hskp1_definition,axiom,~hskp1).
% 0.15/0.39  tff(declare_hskp2,type,hskp2: $o).tff(hskp2_definition,axiom,~hskp2).
% 0.15/0.39  tff(declare_hskp3,type,hskp3: $o).tff(hskp3_definition,axiom,~hskp3).
% 0.15/0.39  tff(declare_hskp4,type,hskp4: $o).tff(hskp4_definition,axiom,~hskp4).
% 0.15/0.39  tff(declare_hskp5,type,hskp5: $o).tff(hskp5_definition,axiom,~hskp5).
% 0.15/0.39  tff(declare_hskp6,type,hskp6: $o).tff(hskp6_definition,axiom,~hskp6).
% 0.15/0.39  tff(declare_hskp7,type,hskp7: $o).tff(hskp7_definition,axiom,hskp7).
% 0.15/0.39  tff(declare_hskp8,type,hskp8: $o).tff(hskp8_definition,axiom,hskp8).
% 0.15/0.39  tff(declare_hskp9,type,hskp9: $o).tff(hskp9_definition,axiom,~hskp9).
% 0.15/0.39  tff(declare_hskp10,type,hskp10: $o).tff(hskp10_definition,axiom,~hskp10).
% 0.15/0.39  tff(declare_hskp11,type,hskp11: $o).tff(hskp11_definition,axiom,hskp11).
% 0.15/0.39  tff(declare_hskp12,type,hskp12: $o).tff(hskp12_definition,axiom,~hskp12).
% 0.15/0.39  tff(declare_hskp13,type,hskp13: $o).tff(hskp13_definition,axiom,~hskp13).
% 0.15/0.39  tff(declare_hskp14,type,hskp14: $o).tff(hskp14_definition,axiom,hskp14).
% 0.15/0.39  tff(declare_hskp15,type,hskp15: $o).tff(hskp15_definition,axiom,~hskp15).
% 0.15/0.39  tff(declare_hskp16,type,hskp16: $o).tff(hskp16_definition,axiom,~hskp16).
% 0.15/0.39  tff(declare_hskp17,type,hskp17: $o).tff(hskp17_definition,axiom,hskp17).
% 0.15/0.39  tff(declare_hskp18,type,hskp18: $o).tff(hskp18_definition,axiom,hskp18).
% 0.15/0.39  tff(declare_hskp19,type,hskp19: $o).tff(hskp19_definition,axiom,~hskp19).
% 0.15/0.39  tff(declare_hskp20,type,hskp20: $o).tff(hskp20_definition,axiom,hskp20).
% 0.15/0.39  tff(declare_hskp21,type,hskp21: $o).tff(hskp21_definition,axiom,~hskp21).
% 0.15/0.39  tff(declare_hskp22,type,hskp22: $o).tff(hskp22_definition,axiom,~hskp22).
% 0.15/0.39  tff(declare_hskp23,type,hskp23: $o).tff(hskp23_definition,axiom,~hskp23).
% 0.15/0.39  tff(declare_hskp24,type,hskp24: $o).tff(hskp24_definition,axiom,hskp24).
% 0.15/0.39  tff(declare_hskp25,type,hskp25: $o).tff(hskp25_definition,axiom,~hskp25).
% 0.15/0.39  tff(declare_hskp26,type,hskp26: $o).tff(hskp26_definition,axiom,~hskp26).
% 0.15/0.39  tff(declare_hskp27,type,hskp27: $o).tff(hskp27_definition,axiom,~hskp27).
% 0.15/0.39  tff(declare_hskp28,type,hskp28: $o).tff(hskp28_definition,axiom,hskp28).
% 0.15/0.39  tff(declare_hskp29,type,hskp29: $o).tff(hskp29_definition,axiom,~hskp29).
% 0.15/0.39  tff(declare_hskp30,type,hskp30: $o).tff(hskp30_definition,axiom,~hskp30).
% 0.15/0.39  tff(declare_hskp31,type,hskp31: $o).tff(hskp31_definition,axiom,~hskp31).
% 0.15/0.39  tff(declare_hskp32,type,hskp32: $o).tff(hskp32_definition,axiom,~hskp32).
% 0.15/0.39  tff(declare_hskp33,type,hskp33: $o).tff(hskp33_definition,axiom,~hskp33).
% 0.15/0.39  tff(declare_hskp34,type,hskp34: $o).tff(hskp34_definition,axiom,~hskp34).
% 0.15/0.39  tff(declare_hskp35,type,hskp35: $o).tff(hskp35_definition,axiom,~hskp35).
% 0.15/0.39  tff(declare_hskp36,type,hskp36: $o).tff(hskp36_definition,axiom,~hskp36).
% 0.15/0.39  tff(declare_hskp37,type,hskp37: $o).tff(hskp37_definition,axiom,~hskp37).
% 0.15/0.39  tff(declare_hskp38,type,hskp38: $o).tff(hskp38_definition,axiom,~hskp38).
% 0.15/0.39  tff(declare_hskp39,type,hskp39: $o).tff(hskp39_definition,axiom,~hskp39).
% 0.15/0.39  tff(declare_hskp40,type,hskp40: $o).tff(hskp40_definition,axiom,hskp40).
% 0.15/0.39  tff(declare_hskp41,type,hskp41: $o).tff(hskp41_definition,axiom,~hskp41).
% 0.15/0.39  tff(declare_hskp42,type,hskp42: $o).tff(hskp42_definition,axiom,~hskp42).
% 0.15/0.39  tff(declare_hskp43,type,hskp43: $o).tff(hskp43_definition,axiom,~hskp43).
% 0.15/0.39  tff(declare_hskp44,type,hskp44: $o).tff(hskp44_definition,axiom,hskp44).
% 0.15/0.39  tff(declare_hskp45,type,hskp45: $o).tff(hskp45_definition,axiom,hskp45).
% 0.15/0.39  tff(declare_hskp46,type,hskp46: $o).tff(hskp46_definition,axiom,~hskp46).
% 0.15/0.39  tff(declare_hskp47,type,hskp47: $o).tff(hskp47_definition,axiom,~hskp47).
% 0.15/0.39  tff(declare_hskp48,type,hskp48: $o).tff(hskp48_definition,axiom,~hskp48).
% 0.15/0.39  tff(declare_hskp49,type,hskp49: $o).tff(hskp49_definition,axiom,~hskp49).
% 0.15/0.39  tff(declare_hskp50,type,hskp50: $o).tff(hskp50_definition,axiom,~hskp50).
% 0.15/0.39  tff(declare_hskp51,type,hskp51: $o).tff(hskp51_definition,axiom,~hskp51).
% 0.15/0.39  tff(declare_hskp52,type,hskp52: $o).tff(hskp52_definition,axiom,~hskp52).
% 0.15/0.39  tff(declare_hskp53,type,hskp53: $o).tff(hskp53_definition,axiom,~hskp53).
% 0.15/0.39  tff(declare_hskp54,type,hskp54: $o).tff(hskp54_definition,axiom,~hskp54).
% 0.15/0.39  tff(declare_hskp55,type,hskp55: $o).tff(hskp55_definition,axiom,~hskp55).
% 0.15/0.39  tff(declare_hskp56,type,hskp56: $o).tff(hskp56_definition,axiom,~hskp56).
% 0.15/0.39  tff(declare_hskp57,type,hskp57: $o).tff(hskp57_definition,axiom,~hskp57).
% 0.15/0.39  tff(declare_hskp58,type,hskp58: $o).tff(hskp58_definition,axiom,~hskp58).
% 0.15/0.39  tff(declare_c2_1,type,c2_1: $i > $o ).
% 0.15/0.39  tff(predicate_c2_1,axiom,
% 0.15/0.39             c2_1(a1)
% 0.15/0.39           & ~c2_1(a5)
% 0.15/0.39           & ~c2_1(a10)
% 0.15/0.39  
% 0.15/0.39  ).
% 0.15/0.39  
% 0.15/0.39  tff(declare_c4_1,type,c4_1: $i > $o ).
% 0.15/0.39  tff(predicate_c4_1,axiom,
% 0.15/0.39             c4_1(a1)
% 0.15/0.39           & ~c4_1(a5)
% 0.15/0.39           & ~c4_1(a10)
% 0.15/0.39  
% 0.15/0.39  ).
% 0.15/0.39  
% 0.15/0.39  tff(declare_c0_1,type,c0_1: $i > $o ).
% 0.15/0.39  tff(predicate_c0_1,axiom,
% 0.15/0.39             ~c0_1(a1)
% 0.15/0.39           & ~c0_1(a5)
% 0.15/0.39           & c0_1(a10)
% 0.15/0.39  
% 0.15/0.39  ).
% 0.15/0.39  
% 0.15/0.39  tff(declare_c3_1,type,c3_1: $i > $o ).
% 0.15/0.39  tff(predicate_c3_1,axiom,
% 0.15/0.39             c3_1(a1)
% 0.15/0.39           & c3_1(a5)
% 0.15/0.39           & ~c3_1(a10)
% 0.15/0.39  
% 0.15/0.39  ).
% 0.15/0.39  
% 0.15/0.39  tff(declare_c5_1,type,c5_1: $i > $o ).
% 0.15/0.39  tff(predicate_c5_1,axiom,
% 0.15/0.39             c5_1(a1)
% 0.15/0.39           & c5_1(a5)
% 0.15/0.39           & ~c5_1(a10)
% 0.15/0.39  
% 0.15/0.39  ).
% 0.15/0.39  
% 0.15/0.39  tff(declare_c1_1,type,c1_1: $i > $o ).
% 0.15/0.39  tff(predicate_c1_1,axiom,
% 0.15/0.39             ~c1_1(a1)
% 0.15/0.39           & c1_1(a5)
% 0.15/0.39           & ~c1_1(a10)
% 0.15/0.39  
% 0.15/0.39  ).
% 0.15/0.39  
% 0.15/0.39  % SZS output end FiniteModel for theBenchmark
% 0.15/0.39  % (4084)------------------------------
% 0.15/0.39  % (4084)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.39  % (4084)Termination reason: Satisfiable
% 0.15/0.39  
% 0.15/0.39  % (4084)Memory used [KB]: 1278
% 0.15/0.39  % (4084)Time elapsed: 0.018 s
% 0.15/0.39  % (4084)Instructions burned: 34 (million)
% 0.15/0.39  % (4084)------------------------------
% 0.15/0.39  % (4084)------------------------------
% 0.15/0.39  % (4083)Success in time 0.025 s
%------------------------------------------------------------------------------