%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HWV005-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 10:20:09 AM UTC 2026
% Result : Unsatisfiable 2.84s 1.27s
% Output : Refutation 3.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 42
% Syntax : Number of formulae : 155 ( 38 unt; 18 def)
% Number of atoms : 314 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 317 ( 158 ~; 141 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 19 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 12 con; 0-2 aty)
% Number of variables : 56 ( 0 sgn 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ connection(X0,X1)
| ~ value(X0,X2)
| value(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',value_propagation1) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ connection(X0,X1)
| ~ value(X1,X2)
| value(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',value_propagation2) ).
fof(f3,axiom,
! [X2,X0,X1] :
( equal_value(X1,X2)
| ~ value(X0,X2)
| ~ value(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_value) ).
fof(f4,axiom,
~ equal_value(n0,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_value1) ).
fof(f7,axiom,
! [X0,X1] :
( mode(X0,abnormal)
| mode(X0,ok)
| ~ type(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ok_or_abnormal) ).
fof(f9,axiom,
! [X0] :
( ~ mode(X0,ok)
| ~ type(X0,and)
| ~ value(in(n1,X0),n1)
| ~ value(in(n2,X0),n1)
| value(out(n1,X0),n1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_11_1) ).
fof(f13,axiom,
! [X0,X1] :
( ~ mode(X0,ok)
| ~ type(X0,or)
| ~ value(in(X1,X0),n1)
| value(out(n1,X0),n1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_1x_1) ).
fof(f18,axiom,
! [X0] :
( ~ mode(X0,ok)
| ~ type(X0,not)
| ~ value(in(n1,X0),n0)
| value(out(n1,X0),n1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_0_1_fw) ).
fof(f22,axiom,
! [X0] :
( type(and1(X0),and)
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_and1) ).
fof(f24,axiom,
! [X0] :
( type(not1(X0),not)
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_not1) ).
fof(f25,axiom,
! [X0] :
( type(or1(X0),or)
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_or1) ).
fof(f26,axiom,
! [X0] :
( connection(in(n1,X0),in(n1,or1(X0)))
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_in1_in1or1) ).
fof(f30,axiom,
! [X0] :
( connection(out(s,X0),out(n1,and1(X0)))
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_outs_out1and1) ).
fof(f31,axiom,
! [X0] :
( connection(out(c,X0),out(n1,and2(X0)))
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_outc_out1and2) ).
fof(f32,axiom,
! [X0] :
( connection(out(n1,or1(X0)),in(n1,and1(X0)))
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_out1or1_in1_and1) ).
fof(f33,axiom,
! [X0] :
( connection(out(n1,and2(X0)),in(n1,not1(X0)))
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_out1and2_in1not1) ).
fof(f34,axiom,
! [X0] :
( connection(out(n1,not1(X0)),in(n2,and1(X0)))
| ~ type(X0,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_out1not1_in2and1) ).
fof(f35,axiom,
type(h,halfadder),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_isa_halfadder) ).
fof(f36,axiom,
value(in(n1,h),n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in1_1) ).
fof(f38,axiom,
value(out(s,h),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outs_0) ).
fof(f39,axiom,
value(out(c,h),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outc_0) ).
fof(f40,negated_conjecture,
~ mode(and1(h),abnormal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and1) ).
fof(f41,negated_conjecture,
~ mode(not1(h),abnormal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_not1) ).
fof(f42,negated_conjecture,
~ mode(or1(h),abnormal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1) ).
fof(f43,plain,
! [X0] :
( ~ value(X0,n0)
| ~ value(X0,n1) ),
inference(resolution,[],[f3,f4]) ).
fof(f46,plain,
~ value(out(s,h),n1),
inference(resolution,[],[f43,f38]) ).
fof(f49,plain,
! [X0] :
( mode(and1(h),ok)
| ~ type(and1(h),X0) ),
inference(resolution,[],[f7,f40]) ).
fof(f50,plain,
! [X0] :
( mode(not1(h),ok)
| ~ type(not1(h),X0) ),
inference(resolution,[],[f7,f41]) ).
fof(f51,plain,
! [X0] :
( mode(or1(h),ok)
| ~ type(or1(h),X0) ),
inference(resolution,[],[f7,f42]) ).
fof(f53,definition,
( spl0_1
<=> ! [X0] : ~ type(or1(h),X0) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f54,plain,
( ! [X0] : ~ type(or1(h),X0)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f56,definition,
( spl0_2
<=> mode(or1(h),ok) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f57,plain,
( mode(or1(h),ok)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f58,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f51,f56,f53]) ).
fof(f60,definition,
( spl0_3
<=> ! [X0] : ~ type(not1(h),X0) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f61,plain,
( ! [X0] : ~ type(not1(h),X0)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f63,definition,
( spl0_4
<=> mode(not1(h),ok) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f64,plain,
( mode(not1(h),ok)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f65,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f50,f63,f60]) ).
fof(f67,definition,
( spl0_5
<=> ! [X0] : ~ type(and1(h),X0) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f68,plain,
( ! [X0] : ~ type(and1(h),X0)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f70,definition,
( spl0_6
<=> mode(and1(h),ok) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f71,plain,
( mode(and1(h),ok)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f72,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f49,f70,f67]) ).
fof(f73,plain,
( ~ type(h,halfadder)
| ~ spl0_3 ),
inference(resolution,[],[f61,f24]) ).
fof(f74,plain,
( $false
| ~ spl0_3 ),
inference(resolution,[],[f73,f35]) ).
fof(f75,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f74]) ).
fof(f76,plain,
( ~ type(h,halfadder)
| ~ spl0_5 ),
inference(resolution,[],[f68,f22]) ).
fof(f77,plain,
( $false
| ~ spl0_5 ),
inference(resolution,[],[f76,f35]) ).
fof(f78,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f77]) ).
fof(f80,plain,
! [X0,X1] :
( ~ type(X0,halfadder)
| ~ value(in(n1,X0),X1)
| value(in(n1,or1(X0)),X1) ),
inference(resolution,[],[f26,f1]) ).
fof(f87,plain,
! [X0,X1] :
( ~ type(X0,halfadder)
| ~ value(out(n1,and1(X0)),X1)
| value(out(s,X0),X1) ),
inference(resolution,[],[f30,f2]) ).
fof(f90,plain,
! [X0,X1] :
( ~ type(X0,halfadder)
| ~ value(out(c,X0),X1)
| value(out(n1,and2(X0)),X1) ),
inference(resolution,[],[f31,f1]) ).
fof(f92,plain,
! [X0,X1] :
( ~ type(X0,halfadder)
| ~ value(out(n1,or1(X0)),X1)
| value(in(n1,and1(X0)),X1) ),
inference(resolution,[],[f32,f1]) ).
fof(f94,plain,
! [X0,X1] :
( ~ type(X0,halfadder)
| ~ value(out(n1,and2(X0)),X1)
| value(in(n1,not1(X0)),X1) ),
inference(resolution,[],[f33,f1]) ).
fof(f96,plain,
! [X0,X1] :
( ~ type(X0,halfadder)
| ~ value(out(n1,not1(X0)),X1)
| value(in(n2,and1(X0)),X1) ),
inference(resolution,[],[f34,f1]) ).
fof(f127,definition,
( spl0_15
<=> type(and1(h),and) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f128,plain,
( ~ type(and1(h),and)
| spl0_15 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f130,plain,
( ~ type(h,halfadder)
| spl0_15 ),
inference(resolution,[],[f128,f22]) ).
fof(f131,plain,
( $false
| spl0_15 ),
inference(resolution,[],[f130,f35]) ).
fof(f132,plain,
spl0_15,
inference(avatar_contradiction_clause,[],[f131]) ).
fof(f141,plain,
! [X0] :
( value(in(n1,or1(h)),X0)
| ~ value(in(n1,h),X0) ),
inference(resolution,[],[f80,f35]) ).
fof(f144,plain,
( ! [X0] :
( ~ type(or1(h),or)
| ~ value(in(X0,or1(h)),n1)
| value(out(n1,or1(h)),n1) )
| ~ spl0_2 ),
inference(resolution,[],[f13,f57]) ).
fof(f146,definition,
( spl0_16
<=> value(out(n1,or1(h)),n1) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f147,plain,
( value(out(n1,or1(h)),n1)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f149,definition,
( spl0_17
<=> ! [X0] : ~ value(in(X0,or1(h)),n1) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f150,plain,
( ! [X0] : ~ value(in(X0,or1(h)),n1)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f152,definition,
( spl0_18
<=> type(or1(h),or) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f153,plain,
( ~ type(or1(h),or)
| spl0_18 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f154,plain,
( spl0_16
| spl0_17
| ~ spl0_18
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f144,f56,f152,f149,f146]) ).
fof(f156,definition,
( spl0_19
<=> value(out(n1,not1(h)),n1) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f157,plain,
( value(out(n1,not1(h)),n1)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f166,definition,
( spl0_22
<=> value(out(n1,and1(h)),n1) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f167,plain,
( value(out(n1,and1(h)),n1)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f175,plain,
( ~ type(h,halfadder)
| spl0_18 ),
inference(resolution,[],[f153,f25]) ).
fof(f176,plain,
( $false
| spl0_18 ),
inference(resolution,[],[f175,f35]) ).
fof(f177,plain,
spl0_18,
inference(avatar_contradiction_clause,[],[f176]) ).
fof(f181,definition,
( spl0_25
<=> value(in(n1,or1(h)),n1) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f182,plain,
( ~ value(in(n1,or1(h)),n1)
| spl0_25 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f187,plain,
( ~ value(in(n1,h),n1)
| spl0_25 ),
inference(resolution,[],[f182,f141]) ).
fof(f188,plain,
( $false
| spl0_25 ),
inference(resolution,[],[f187,f36]) ).
fof(f189,plain,
spl0_25,
inference(avatar_contradiction_clause,[],[f188]) ).
fof(f203,plain,
( ~ type(not1(h),not)
| ~ value(in(n1,not1(h)),n0)
| value(out(n1,not1(h)),n1)
| ~ spl0_4 ),
inference(resolution,[],[f18,f64]) ).
fof(f206,definition,
( spl0_28
<=> value(in(n1,not1(h)),n0) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f207,plain,
( ~ value(in(n1,not1(h)),n0)
| spl0_28 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f209,definition,
( spl0_29
<=> type(not1(h),not) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f210,plain,
( ~ type(not1(h),not)
| spl0_29 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f211,plain,
( spl0_19
| ~ spl0_28
| ~ spl0_29
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f203,f63,f209,f206,f156]) ).
fof(f231,plain,
( ~ type(h,halfadder)
| spl0_29 ),
inference(resolution,[],[f210,f24]) ).
fof(f232,plain,
( $false
| spl0_29 ),
inference(resolution,[],[f231,f35]) ).
fof(f233,plain,
spl0_29,
inference(avatar_contradiction_clause,[],[f232]) ).
fof(f257,plain,
( ~ type(and1(h),and)
| ~ value(in(n1,and1(h)),n1)
| ~ value(in(n2,and1(h)),n1)
| value(out(n1,and1(h)),n1)
| ~ spl0_6 ),
inference(resolution,[],[f9,f71]) ).
fof(f261,definition,
( spl0_36
<=> value(in(n2,and1(h)),n1) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f264,definition,
( spl0_37
<=> value(in(n1,and1(h)),n1) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f265,plain,
( ~ value(in(n1,and1(h)),n1)
| spl0_37 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f266,plain,
( spl0_22
| ~ spl0_36
| ~ spl0_37
| ~ spl0_15
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f257,f70,f127,f264,f261,f166]) ).
fof(f295,plain,
( value(in(n1,or1(h)),n1)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f309,plain,
! [X0] :
( ~ value(out(n1,and1(h)),X0)
| value(out(s,h),X0) ),
inference(resolution,[],[f87,f35]) ).
fof(f316,plain,
! [X0] :
( value(out(n1,and2(h)),X0)
| ~ value(out(c,h),X0) ),
inference(resolution,[],[f90,f35]) ).
fof(f323,definition,
( spl0_42
<=> value(out(c,h),n0) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f324,plain,
( ~ value(out(c,h),n0)
| spl0_42 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f334,plain,
( $false
| ~ spl0_17
| ~ spl0_25 ),
inference(resolution,[],[f150,f295]) ).
fof(f337,plain,
( ~ spl0_17
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f334]) ).
fof(f345,plain,
! [X0] :
( ~ value(out(n1,or1(h)),X0)
| value(in(n1,and1(h)),X0) ),
inference(resolution,[],[f92,f35]) ).
fof(f350,plain,
( value(in(n1,and1(h)),n1)
| ~ spl0_16 ),
inference(resolution,[],[f345,f147]) ).
fof(f351,plain,
( $false
| ~ spl0_16
| spl0_37 ),
inference(resolution,[],[f350,f265]) ).
fof(f352,plain,
( ~ spl0_16
| spl0_37 ),
inference(avatar_contradiction_clause,[],[f351]) ).
fof(f357,plain,
! [X0] :
( ~ value(out(n1,and2(h)),X0)
| value(in(n1,not1(h)),X0) ),
inference(resolution,[],[f94,f35]) ).
fof(f360,plain,
! [X0] :
( value(in(n1,not1(h)),X0)
| ~ value(out(c,h),X0) ),
inference(resolution,[],[f357,f316]) ).
fof(f361,plain,
! [X0] :
( ~ value(out(n1,not1(h)),X0)
| value(in(n2,and1(h)),X0) ),
inference(resolution,[],[f96,f35]) ).
fof(f364,plain,
( ~ value(out(c,h),n0)
| spl0_28 ),
inference(resolution,[],[f360,f207]) ).
fof(f366,plain,
( ~ spl0_42
| spl0_28 ),
inference(avatar_split_clause,[],[f364,f206,f323]) ).
fof(f367,plain,
( $false
| spl0_42 ),
inference(resolution,[],[f324,f39]) ).
fof(f368,plain,
spl0_42,
inference(avatar_contradiction_clause,[],[f367]) ).
fof(f384,plain,
( value(in(n2,and1(h)),n1)
| ~ spl0_19 ),
inference(resolution,[],[f361,f157]) ).
fof(f385,plain,
( spl0_36
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f384,f156,f261]) ).
fof(f386,plain,
( value(out(s,h),n1)
| ~ spl0_22 ),
inference(resolution,[],[f167,f309]) ).
fof(f387,plain,
( $false
| ~ spl0_22 ),
inference(resolution,[],[f386,f46]) ).
fof(f388,plain,
~ spl0_22,
inference(avatar_contradiction_clause,[],[f387]) ).
fof(f391,plain,
( ~ type(h,halfadder)
| ~ spl0_1 ),
inference(resolution,[],[f54,f25]) ).
fof(f392,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f391,f35]) ).
fof(f393,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f392]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f58]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f65]) ).
cnf(s3,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f72]) ).
cnf(s4,plain,
~ spl0_3,
inference(sat_conversion,[],[f75]) ).
cnf(s5,plain,
~ spl0_5,
inference(sat_conversion,[],[f78]) ).
cnf(s9,plain,
spl0_15,
inference(sat_conversion,[],[f132]) ).
cnf(s10,plain,
( ~ spl0_2
| spl0_16
| spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f154]) ).
cnf(s13,plain,
spl0_18,
inference(sat_conversion,[],[f177]) ).
cnf(s15,plain,
spl0_25,
inference(sat_conversion,[],[f189]) ).
cnf(s17,plain,
( ~ spl0_4
| spl0_19
| ~ spl0_28
| ~ spl0_29 ),
inference(sat_conversion,[],[f211]) ).
cnf(s21,plain,
spl0_29,
inference(sat_conversion,[],[f233]) ).
cnf(s25,plain,
( ~ spl0_6
| ~ spl0_15
| spl0_22
| ~ spl0_36
| ~ spl0_37 ),
inference(sat_conversion,[],[f266]) ).
cnf(s37,plain,
( ~ spl0_17
| ~ spl0_25 ),
inference(sat_conversion,[],[f337]) ).
cnf(s41,plain,
( ~ spl0_16
| spl0_37 ),
inference(sat_conversion,[],[f352]) ).
cnf(s42,plain,
( spl0_28
| ~ spl0_42 ),
inference(sat_conversion,[],[f366]) ).
cnf(s43,plain,
spl0_42,
inference(sat_conversion,[],[f368]) ).
cnf(s48,plain,
( ~ spl0_19
| spl0_36 ),
inference(sat_conversion,[],[f385]) ).
cnf(s49,plain,
~ spl0_22,
inference(sat_conversion,[],[f388]) ).
cnf(s51,plain,
~ spl0_1,
inference(sat_conversion,[],[f393]) ).
cnf(s52,plain,
spl0_28,
inference(rat,[],[s42,s43]) ).
cnf(s57,plain,
( ~ spl0_6
| ~ spl0_15
| ~ spl0_36
| ~ spl0_37 ),
inference(rat,[],[s25,s49]) ).
cnf(s61,plain,
( ~ spl0_4
| spl0_19 ),
inference(rat,[],[s17,s21,s52]) ).
cnf(s63,plain,
~ spl0_17,
inference(rat,[],[s37,s15]) ).
cnf(s66,plain,
( ~ spl0_2
| spl0_16 ),
inference(rat,[],[s10,s13,s63]) ).
cnf(s68,plain,
spl0_6,
inference(rat,[],[s3,s5]) ).
cnf(s69,plain,
spl0_4,
inference(rat,[],[s2,s4]) ).
cnf(s70,plain,
spl0_19,
inference(rat,[],[s61,s69]) ).
cnf(s71,plain,
spl0_36,
inference(rat,[],[s48,s70]) ).
cnf(s73,plain,
~ spl0_37,
inference(rat,[],[s57,s68,s9,s71]) ).
cnf(s74,plain,
~ spl0_16,
inference(rat,[],[s41,s73]) ).
cnf(s75,plain,
~ spl0_2,
inference(rat,[],[s66,s74]) ).
cnf(s76,plain,
$false,
inference(rat,[],[s1,s75,s51]) ).
fof(f394,plain,
$false,
inference(avatar_sat_refutation,[],[s76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV005-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 10:53:56 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.84/1.27 % (339015)Input is clausal, will run a generic CNF schedule.
% 2.84/1.27 % (339021)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2637323031:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.84/1.27 % (339020)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2618957783:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.84/1.27 % (339024)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=616889673:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.84/1.27 % (339022)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2229245927:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.84/1.27 % (339023)lrs+10_1_sil=8000:sp=occurrence:random_seed=3878585745:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.84/1.27 % (339025)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2288322859:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.84/1.27 % (339024)Refutation not found, incomplete strategy
% 2.84/1.27 % (339024)------------------------------
% 2.84/1.27 % (339024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.84/1.27 % (339024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/1.27 % (339024)CaDiCaL version: 2.1.3
% 2.84/1.27 % (339024)Termination reason: Refutation not found, incomplete strategy
% 2.84/1.27 % (339024)Time elapsed: 0.002 s
% 2.84/1.27 % (339024)Peak memory usage: 87 MB
% 2.84/1.27 % (339024)Instructions burned: 2 (million)
% 2.84/1.27 % (339026)dis-21_1_sil=8000:lcm=predicate:random_seed=1771147302:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.84/1.27 % (339023)Refutation not found, incomplete strategy
% 2.84/1.27 % (339023)------------------------------
% 2.84/1.27 % (339023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.84/1.27 % (339023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/1.27 % (339023)CaDiCaL version: 2.1.3
% 2.84/1.27 % (339023)Termination reason: Refutation not found, incomplete strategy
% 2.84/1.27 % (339023)Time elapsed: 0.007 s
% 2.84/1.27 % (339023)Peak memory usage: 88 MB
% 2.84/1.27 % (339023)Instructions burned: 8 (million)
% 2.84/1.27 % (339026)First to succeed.
% 2.84/1.27 % (339026)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-339015"
% 2.84/1.27 % (339025)Also succeeded, but the first one will report.
% 2.84/1.27 % (339024)------------------------------
% 2.84/1.27 % (339024)------------------------------
% 2.84/1.27 % (339023)------------------------------
% 2.84/1.27 % (339023)------------------------------
% 2.84/1.27 % (339026)Refutation found. Thanks to Tanya!
% 2.84/1.27 % SZS status Unsatisfiable for theBenchmark
% 2.84/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 3.51/1.46 % (339026)------------------------------
% 3.51/1.46 % (339026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.46 % (339026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.46 % (339026)CaDiCaL version: 2.1.3
% 3.51/1.46 % (339026)Termination reason: Refutation
% 3.51/1.46 % (339026)Time elapsed: 0.008 s
% 3.51/1.46 % (339026)Peak memory usage: 89 MB
% 3.51/1.46 % (339026)Instructions burned: 10 (million)
% 3.51/1.46 % (339026)------------------------------
% 3.51/1.46 % (339026)------------------------------
% 3.51/1.46 % (339015)Success in time 0.415 s
% 3.51/1.46 % Vampire exiting
%------------------------------------------------------------------------------