↑ Up

Vampire-SAT---5.0.1.UNS-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN094-1.005 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 02:06:45 PM UTC 2026

% Result   : Unsatisfiable 0.08s 0.26s
% Output   : Refutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   78
% Syntax   : Number of formulae    :  145 (   3 unt;   0 def)
%            Number of atoms       :  416 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  474 ( 203   ~; 271   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   60 (  59 usr;  60 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( u_1
    | ~ p_0
    | ~ q_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_goal_1) ).

fof(f2,axiom,
    ~ u_1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_1_s3_goal_1) ).

fof(f3,axiom,
    ( u_2
    | p_0
    | ~ p_1
    | ~ p_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type11_1) ).

fof(f4,axiom,
    ( p_0
    | ~ u_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_2_s3_type11_1) ).

fof(f5,axiom,
    ( u_3
    | p_0
    | ~ q_1
    | ~ q_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type11_2) ).

fof(f6,axiom,
    ( p_0
    | ~ u_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_3_s3_type11_2) ).

fof(f7,axiom,
    ( u_4
    | p_1
    | ~ p_2
    | ~ p_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type11_3) ).

fof(f8,axiom,
    ( p_1
    | ~ u_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_4_s3_type11_3) ).

fof(f9,axiom,
    ( u_5
    | p_1
    | ~ q_2
    | ~ q_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type11_4) ).

fof(f10,axiom,
    ( p_1
    | ~ u_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_5_s3_type11_4) ).

fof(f11,axiom,
    ( u_6
    | p_2
    | ~ p_3
    | ~ p_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type11_5) ).

fof(f12,axiom,
    ( p_2
    | ~ u_6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_6_s3_type11_5) ).

fof(f13,axiom,
    ( u_7
    | p_2
    | ~ q_3
    | ~ q_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type11_6) ).

fof(f14,axiom,
    ( p_2
    | ~ u_7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_7_s3_type11_6) ).

fof(f15,axiom,
    ( u_8
    | p_3
    | ~ p_4
    | ~ p_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type11_7) ).

fof(f16,axiom,
    ( p_3
    | ~ u_8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_8_s3_type11_7) ).

fof(f17,axiom,
    ( u_9
    | p_3
    | ~ q_4
    | ~ q_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type11_8) ).

fof(f18,axiom,
    ( p_3
    | ~ u_9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_9_s3_type11_8) ).

fof(f19,axiom,
    ( u_10
    | p_4
    | ~ p_5
    | ~ p_6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type11_9) ).

fof(f20,axiom,
    ( p_4
    | ~ u_10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_10_s3_type11_9) ).

fof(f21,axiom,
    ( u_11
    | p_4
    | ~ q_5
    | ~ q_6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type11_10) ).

fof(f22,axiom,
    ( p_4
    | ~ u_11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_11_s3_type11_10) ).

fof(f23,axiom,
    ( u_12
    | p_5
    | ~ p_6
    | ~ p_7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type11_11) ).

fof(f24,axiom,
    ( p_5
    | ~ u_12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_12_s3_type11_11) ).

fof(f25,axiom,
    ( u_13
    | p_5
    | ~ q_6
    | ~ q_7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type11_12) ).

fof(f26,axiom,
    ( p_5
    | ~ u_13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_13_s3_type11_12) ).

fof(f27,axiom,
    ( u_14
    | p_6
    | ~ p_7
    | ~ p_8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type11_13) ).

fof(f28,axiom,
    ( p_6
    | ~ u_14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_14_s3_type11_13) ).

fof(f29,axiom,
    ( u_15
    | p_6
    | ~ q_7
    | ~ q_8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type11_14) ).

fof(f30,axiom,
    ( p_6
    | ~ u_15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_15_s3_type11_14) ).

fof(f31,axiom,
    ( u_16
    | p_7
    | ~ p_8
    | ~ p_9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type11_15) ).

fof(f32,axiom,
    ( p_7
    | ~ u_16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_16_s3_type11_15) ).

fof(f33,axiom,
    ( u_17
    | p_7
    | ~ q_8
    | ~ q_9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type11_16) ).

fof(f34,axiom,
    ( p_7
    | ~ u_17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_17_s3_type11_16) ).

fof(f35,axiom,
    ( u_18
    | q_0
    | ~ p_1
    | ~ q_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type12_1) ).

fof(f36,axiom,
    ( q_0
    | ~ u_18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_18_s3_type12_1) ).

fof(f37,axiom,
    ( u_19
    | q_0
    | ~ q_1
    | ~ p_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type12_2) ).

fof(f38,axiom,
    ( q_0
    | ~ u_19 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_19_s3_type12_2) ).

fof(f39,axiom,
    ( u_20
    | q_1
    | ~ p_2
    | ~ q_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type12_3) ).

fof(f40,axiom,
    ( q_1
    | ~ u_20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_20_s3_type12_3) ).

fof(f41,axiom,
    ( u_21
    | q_1
    | ~ q_2
    | ~ p_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type12_4) ).

fof(f42,axiom,
    ( q_1
    | ~ u_21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_21_s3_type12_4) ).

fof(f43,axiom,
    ( u_22
    | q_2
    | ~ p_3
    | ~ q_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type12_5) ).

fof(f44,axiom,
    ( q_2
    | ~ u_22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_22_s3_type12_5) ).

fof(f45,axiom,
    ( u_23
    | q_2
    | ~ q_3
    | ~ p_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type12_6) ).

fof(f46,axiom,
    ( q_2
    | ~ u_23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_23_s3_type12_6) ).

fof(f47,axiom,
    ( u_24
    | q_3
    | ~ p_4
    | ~ q_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type12_7) ).

fof(f48,axiom,
    ( q_3
    | ~ u_24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_24_s3_type12_7) ).

fof(f49,axiom,
    ( u_25
    | q_3
    | ~ q_4
    | ~ p_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type12_8) ).

fof(f50,axiom,
    ( q_3
    | ~ u_25 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_25_s3_type12_8) ).

fof(f51,axiom,
    ( u_26
    | q_4
    | ~ p_5
    | ~ q_6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type12_9) ).

fof(f52,axiom,
    ( q_4
    | ~ u_26 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_26_s3_type12_9) ).

fof(f53,axiom,
    ( u_27
    | q_4
    | ~ q_5
    | ~ p_6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type12_10) ).

fof(f54,axiom,
    ( q_4
    | ~ u_27 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_27_s3_type12_10) ).

fof(f55,axiom,
    ( u_28
    | q_5
    | ~ p_6
    | ~ q_7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type12_11) ).

fof(f56,axiom,
    ( q_5
    | ~ u_28 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_28_s3_type12_11) ).

fof(f57,axiom,
    ( u_29
    | q_5
    | ~ q_6
    | ~ p_7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type12_12) ).

fof(f58,axiom,
    ( q_5
    | ~ u_29 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_29_s3_type12_12) ).

fof(f59,axiom,
    ( u_30
    | q_6
    | ~ p_7
    | ~ q_8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type12_13) ).

fof(f60,axiom,
    ( q_6
    | ~ u_30 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_30_s3_type12_13) ).

fof(f61,axiom,
    ( u_31
    | q_6
    | ~ q_7
    | ~ p_8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type12_14) ).

fof(f62,axiom,
    ( q_6
    | ~ u_31 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_31_s3_type12_14) ).

fof(f63,axiom,
    ( u_32
    | q_7
    | ~ p_8
    | ~ q_9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type12_15) ).

fof(f64,axiom,
    ( q_7
    | ~ u_32 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_32_s3_type12_15) ).

fof(f65,axiom,
    ( u_33
    | q_7
    | ~ q_8
    | ~ p_9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type12_16) ).

fof(f66,axiom,
    ( q_7
    | ~ u_33 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_33_s3_type12_16) ).

fof(f67,axiom,
    ( u_34
    | p_9
    | ~ p_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type2_1) ).

fof(f68,axiom,
    ( p_9
    | ~ u_34 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_34_s3_type2_1) ).

fof(f71,axiom,
    ( u_36
    | q_9
    | ~ q_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_s3_type2_3) ).

fof(f72,axiom,
    ( q_9
    | ~ u_36 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_36_s3_type2_3) ).

fof(f75,axiom,
    ( u_38
    | p_8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_t3_1) ).

fof(f76,axiom,
    ( p_8
    | ~ u_38 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_38_t3_1) ).

fof(f77,axiom,
    ( u_39
    | p_9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_t3_2) ).

fof(f78,axiom,
    ( p_9
    | ~ u_39 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_39_t3_2) ).

fof(f79,axiom,
    ( u_40
    | q_8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_t3_3) ).

fof(f80,axiom,
    ( q_8
    | ~ u_40 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_40_t3_3) ).

fof(f81,axiom,
    ( u_41
    | q_9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_t3_4) ).

fof(f82,axiom,
    ( q_9
    | ~ u_41 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_41_t3_4) ).

fof(f83,plain,
    ( ~ u_1
    | p_0
    | ~ q_0 ),
    inference(consistent_polarity_flipping,[],[f1]) ).

fof(f84,plain,
    u_1,
    inference(consistent_polarity_flipping,[],[f2]) ).

fof(f85,plain,
    ( ~ u_2
    | ~ p_0
    | p_1
    | ~ p_2 ),
    inference(consistent_polarity_flipping,[],[f3]) ).

fof(f86,plain,
    ( ~ p_0
    | u_2 ),
    inference(consistent_polarity_flipping,[],[f4]) ).

fof(f87,plain,
    ( ~ u_3
    | ~ p_0
    | ~ q_1
    | q_2 ),
    inference(consistent_polarity_flipping,[],[f5]) ).

fof(f88,plain,
    ( ~ p_0
    | u_3 ),
    inference(consistent_polarity_flipping,[],[f6]) ).

fof(f89,plain,
    ( ~ u_4
    | ~ p_1
    | ~ p_2
    | ~ p_3 ),
    inference(consistent_polarity_flipping,[],[f7]) ).

fof(f90,plain,
    ( ~ p_1
    | u_4 ),
    inference(consistent_polarity_flipping,[],[f8]) ).

fof(f91,plain,
    ( ~ u_5
    | ~ p_1
    | q_2
    | ~ q_3 ),
    inference(consistent_polarity_flipping,[],[f9]) ).

fof(f92,plain,
    ( ~ p_1
    | u_5 ),
    inference(consistent_polarity_flipping,[],[f10]) ).

fof(f93,plain,
    ( ~ u_6
    | p_2
    | ~ p_3
    | ~ p_4 ),
    inference(consistent_polarity_flipping,[],[f11]) ).

fof(f94,plain,
    ( p_2
    | u_6 ),
    inference(consistent_polarity_flipping,[],[f12]) ).

fof(f95,plain,
    ( u_7
    | p_2
    | ~ q_3
    | q_4 ),
    inference(consistent_polarity_flipping,[],[f13]) ).

fof(f96,plain,
    ( ~ u_8
    | p_3
    | ~ p_4
    | p_5 ),
    inference(consistent_polarity_flipping,[],[f15]) ).

fof(f97,plain,
    ( p_3
    | u_8 ),
    inference(consistent_polarity_flipping,[],[f16]) ).

fof(f98,plain,
    ( ~ u_9
    | p_3
    | q_4
    | ~ q_5 ),
    inference(consistent_polarity_flipping,[],[f17]) ).

fof(f99,plain,
    ( p_3
    | u_9 ),
    inference(consistent_polarity_flipping,[],[f18]) ).

fof(f100,plain,
    ( ~ u_10
    | p_4
    | p_5
    | p_6 ),
    inference(consistent_polarity_flipping,[],[f19]) ).

fof(f101,plain,
    ( p_4
    | u_10 ),
    inference(consistent_polarity_flipping,[],[f20]) ).

fof(f102,plain,
    ( ~ u_11
    | p_4
    | ~ q_5
    | q_6 ),
    inference(consistent_polarity_flipping,[],[f21]) ).

fof(f103,plain,
    ( p_4
    | u_11 ),
    inference(consistent_polarity_flipping,[],[f22]) ).

fof(f104,plain,
    ( u_12
    | ~ p_5
    | p_6
    | p_7 ),
    inference(consistent_polarity_flipping,[],[f23]) ).

fof(f105,plain,
    ( ~ p_5
    | ~ u_12 ),
    inference(consistent_polarity_flipping,[],[f24]) ).

fof(f106,plain,
    ( ~ u_13
    | ~ p_5
    | q_6
    | q_7 ),
    inference(consistent_polarity_flipping,[],[f25]) ).

fof(f107,plain,
    ( ~ p_5
    | u_13 ),
    inference(consistent_polarity_flipping,[],[f26]) ).

fof(f108,plain,
    ( ~ u_14
    | ~ p_6
    | p_7
    | p_8 ),
    inference(consistent_polarity_flipping,[],[f27]) ).

fof(f109,plain,
    ( ~ p_6
    | u_14 ),
    inference(consistent_polarity_flipping,[],[f28]) ).

fof(f110,plain,
    ( ~ u_15
    | ~ p_6
    | q_7
    | ~ q_8 ),
    inference(consistent_polarity_flipping,[],[f29]) ).

fof(f111,plain,
    ( ~ p_6
    | u_15 ),
    inference(consistent_polarity_flipping,[],[f30]) ).

fof(f112,plain,
    ( ~ u_16
    | ~ p_7
    | p_8
    | ~ p_9 ),
    inference(consistent_polarity_flipping,[],[f31]) ).

fof(f113,plain,
    ( ~ p_7
    | u_16 ),
    inference(consistent_polarity_flipping,[],[f32]) ).

fof(f114,plain,
    ( u_17
    | ~ p_7
    | ~ q_8
    | ~ q_9 ),
    inference(consistent_polarity_flipping,[],[f33]) ).

fof(f115,plain,
    ( ~ p_7
    | ~ u_17 ),
    inference(consistent_polarity_flipping,[],[f34]) ).

fof(f116,plain,
    ( u_18
    | q_0
    | p_1
    | q_2 ),
    inference(consistent_polarity_flipping,[],[f35]) ).

fof(f117,plain,
    ( ~ u_19
    | q_0
    | ~ q_1
    | ~ p_2 ),
    inference(consistent_polarity_flipping,[],[f37]) ).

fof(f118,plain,
    ( q_0
    | u_19 ),
    inference(consistent_polarity_flipping,[],[f38]) ).

fof(f119,plain,
    ( u_21
    | q_1
    | q_2
    | ~ p_3 ),
    inference(consistent_polarity_flipping,[],[f41]) ).

fof(f120,plain,
    ( ~ u_22
    | ~ q_2
    | ~ p_3
    | q_4 ),
    inference(consistent_polarity_flipping,[],[f43]) ).

fof(f121,plain,
    ( ~ q_2
    | u_22 ),
    inference(consistent_polarity_flipping,[],[f44]) ).

fof(f122,plain,
    ( ~ u_23
    | ~ q_2
    | ~ q_3
    | ~ p_4 ),
    inference(consistent_polarity_flipping,[],[f45]) ).

fof(f123,plain,
    ( ~ q_2
    | u_23 ),
    inference(consistent_polarity_flipping,[],[f46]) ).

fof(f124,plain,
    ( ~ u_25
    | q_3
    | q_4
    | p_5 ),
    inference(consistent_polarity_flipping,[],[f49]) ).

fof(f125,plain,
    ( q_3
    | u_25 ),
    inference(consistent_polarity_flipping,[],[f50]) ).

fof(f126,plain,
    ( ~ u_26
    | ~ q_4
    | p_5
    | q_6 ),
    inference(consistent_polarity_flipping,[],[f51]) ).

fof(f127,plain,
    ( ~ q_4
    | u_26 ),
    inference(consistent_polarity_flipping,[],[f52]) ).

fof(f128,plain,
    ( ~ u_27
    | ~ q_4
    | ~ q_5
    | p_6 ),
    inference(consistent_polarity_flipping,[],[f53]) ).

fof(f129,plain,
    ( ~ q_4
    | u_27 ),
    inference(consistent_polarity_flipping,[],[f54]) ).

fof(f130,plain,
    ( ~ u_28
    | q_5
    | p_6
    | q_7 ),
    inference(consistent_polarity_flipping,[],[f55]) ).

fof(f131,plain,
    ( q_5
    | u_28 ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f132,plain,
    ( u_29
    | q_5
    | q_6
    | p_7 ),
    inference(consistent_polarity_flipping,[],[f57]) ).

fof(f133,plain,
    ( ~ u_30
    | ~ q_6
    | p_7
    | ~ q_8 ),
    inference(consistent_polarity_flipping,[],[f59]) ).

fof(f134,plain,
    ( ~ q_6
    | u_30 ),
    inference(consistent_polarity_flipping,[],[f60]) ).

fof(f135,plain,
    ( u_31
    | ~ q_6
    | q_7
    | p_8 ),
    inference(consistent_polarity_flipping,[],[f61]) ).

fof(f136,plain,
    ( ~ q_6
    | ~ u_31 ),
    inference(consistent_polarity_flipping,[],[f62]) ).

fof(f137,plain,
    ( u_32
    | ~ q_7
    | p_8
    | ~ q_9 ),
    inference(consistent_polarity_flipping,[],[f63]) ).

fof(f138,plain,
    ( ~ q_7
    | ~ u_32 ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f139,plain,
    ( u_33
    | ~ q_7
    | ~ q_8
    | ~ p_9 ),
    inference(consistent_polarity_flipping,[],[f65]) ).

fof(f140,plain,
    ( ~ q_7
    | ~ u_33 ),
    inference(consistent_polarity_flipping,[],[f66]) ).

fof(f141,plain,
    ( ~ u_36
    | q_9
    | q_4 ),
    inference(consistent_polarity_flipping,[],[f71]) ).

fof(f142,plain,
    ( q_9
    | u_36 ),
    inference(consistent_polarity_flipping,[],[f72]) ).

fof(f143,plain,
    ( ~ u_38
    | ~ p_8 ),
    inference(consistent_polarity_flipping,[],[f75]) ).

fof(f144,plain,
    ( ~ p_8
    | u_38 ),
    inference(consistent_polarity_flipping,[],[f76]) ).

fof(f145,plain,
    ( ~ u_39
    | p_9 ),
    inference(consistent_polarity_flipping,[],[f77]) ).

fof(f146,plain,
    ( p_9
    | u_39 ),
    inference(consistent_polarity_flipping,[],[f78]) ).

fof(f147,plain,
    ( ~ u_40
    | q_8 ),
    inference(consistent_polarity_flipping,[],[f79]) ).

fof(f148,plain,
    ( q_8
    | u_40 ),
    inference(consistent_polarity_flipping,[],[f80]) ).

fof(f149,plain,
    $false,
    inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f83,f84,f85,f86,f87,f88,f89,f90,f91,f92,f93,f94,f95,f14,f96,f97,f98,f99,f100,f101,f102,f103,f104,f105,f106,f107,f108,f109,f110,f111,f112,f113,f114,f115,f116,f36,f117,f118,f39,f40,f119,f42,f120,f121,f122,f123,f47,f48,f124,f125,f126,f127,f128,f129,f130,f131,f132,f58,f133,f134,f135,f136,f137,f138,f139,f140,f67,f68,f141,f142,f143,f144,f145,f146,f147,f148,f81,f82]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN094-1.005 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19  % Computer : n017.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Mon Sep 28 15:28:51 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22  Running first-order model finding
% 0.08/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.26  % (3637394)Will run a generic schedule for satisfiability detection.
% 0.08/0.26  % (3637399)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1907296667_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.26  % The problem is propositional so there are no sorts!
% 0.08/0.26  % TRYING []
% 0.08/0.26  % (3637399) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3637394-3637399"...
% 0.08/0.26  % (3637399)...printing done.
% 0.08/0.26  % (3637400)% WARNING: option uhcvi not known.
% 0.08/0.26  % (3637399)Refutation found. Thanks to Tanya!
% 0.08/0.26  % SZS status Unsatisfiable for theBenchmark
% 0.08/0.26  % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.26  % (3637399)------------------------------
% 0.08/0.26  % (3637399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26  % (3637399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26  % (3637399)CaDiCaL version: 2.1.3
% 0.08/0.26  % (3637399)Termination reason: Refutation
% 0.08/0.26  % (3637399)Time elapsed: 0.001 s
% 0.08/0.26  % (3637399)Peak memory usage: 11 MB
% 0.08/0.26  % (3637399)Instructions burned: 3 (million)
% 0.08/0.26  % (3637394)Success in time 0.03 s
% 0.08/0.26  % Vampire exiting
%------------------------------------------------------------------------------