%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM421+1 : TPTP v9.3.1. Released v4.0.0.
% 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 12:24:15 PM UTC 2026
% Result : Theorem 1.15s 0.70s
% Output : Refutation 1.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 17
% Syntax : Number of formulae : 108 ( 27 unt; 4 def)
% Number of atoms : 238 ( 79 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 232 ( 102 ~; 99 |; 18 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 87 ( 0 sgn 87 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntZero) ).
fof(f3,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntOne) ).
fof(f4,axiom,
! [X0] :
( aInteger0(X0)
=> aInteger0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntNeg) ).
fof(f5,axiom,
! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> aInteger0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntPlus) ).
fof(f6,axiom,
! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> aInteger0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntMult) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( aInteger0(X0)
& aInteger0(X1)
& aInteger0(X2) )
=> sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(f9,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
fof(f10,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtpldt0(X0,smndt0(X0)) = sz00
& sz00 = sdtpldt0(smndt0(X0),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddNeg) ).
fof(f12,axiom,
! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f13,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulOne) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aInteger0(X0)
& aInteger0(X1)
& aInteger0(X2) )
=> ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistrib) ).
fof(f15,axiom,
aInteger0(xa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__419) ).
fof(f16,conjecture,
( sdtasdt0(xa,sz00) = sz00
& sz00 = sdtasdt0(sz00,xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f17,negated_conjecture,
~ ( sdtasdt0(xa,sz00) = sz00
& sz00 = sdtasdt0(sz00,xa) ),
inference(negated_conjecture,[status(cth)],[f16]) ).
fof(f19,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f20,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f21,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f20]) ).
fof(f22,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f23,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f22]) ).
fof(f24,plain,
! [X0,X1,X2] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f25,plain,
! [X0,X1,X2] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(flattening,[],[f24]) ).
fof(f28,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f29,plain,
! [X0] :
( ( sdtpldt0(X0,smndt0(X0)) = sz00
& sz00 = sdtpldt0(smndt0(X0),X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f32,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f33,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f32]) ).
fof(f34,plain,
! [X0] :
( ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
( sz00 != sdtasdt0(xa,sz00)
| sz00 != sdtasdt0(sz00,xa) ),
inference(ennf_transformation,[],[f17]) ).
fof(f38,plain,
aInteger0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f39,plain,
aInteger0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f40,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f41,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f42,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f45,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f28]) ).
fof(f46,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f28]) ).
fof(f48,plain,
! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(X0,smndt0(X0)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f50,plain,
! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f51,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = X0 ),
inference(cnf_transformation,[],[f34]) ).
fof(f52,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f34]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f55,plain,
aInteger0(xa),
inference(cnf_transformation,[],[f15]) ).
fof(f56,plain,
( sz00 != sdtasdt0(sz00,xa)
| sz00 != sdtasdt0(xa,sz00) ),
inference(cnf_transformation,[],[f37]) ).
fof(f58,definition,
( spl0_1
<=> sz00 = sdtasdt0(xa,sz00) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f60,plain,
( sz00 != sdtasdt0(xa,sz00)
| spl0_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f62,definition,
( spl0_2
<=> sz00 = sdtasdt0(sz00,xa) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f64,plain,
( sz00 != sdtasdt0(sz00,xa)
| spl0_2 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f65,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f56,f62,f58]) ).
fof(f67,plain,
sz10 = sdtpldt0(sz00,sz10),
inference(resolution,[],[f45,f39]) ).
fof(f74,plain,
sz00 = sdtasdt0(sz10,sz00),
inference(resolution,[],[f51,f38]) ).
fof(f81,plain,
xa = sdtasdt0(xa,sz10),
inference(resolution,[],[f52,f55]) ).
fof(f88,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,X1) = sdtpldt0(sdtasdt0(X0,X1),sz00) ),
inference(resolution,[],[f42,f46]) ).
fof(f89,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,X1) = sdtpldt0(sz00,sdtasdt0(X0,X1)) ),
inference(resolution,[],[f42,f45]) ).
fof(f101,plain,
sz00 = sdtpldt0(xa,smndt0(xa)),
inference(resolution,[],[f48,f55]) ).
fof(f115,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xa,X0) = sdtasdt0(X0,xa) ),
inference(resolution,[],[f50,f55]) ).
fof(f118,plain,
! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X0,smndt0(X2))) = sdtpldt0(sdtpldt0(X1,X0),smndt0(X2))
| ~ aInteger0(X0) ),
inference(resolution,[],[f43,f40]) ).
fof(f129,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X1,X0),sz00) = sdtpldt0(sdtasdt0(X1,sz00),sdtasdt0(X0,sz00)) ),
inference(resolution,[],[f53,f38]) ).
fof(f137,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X1,sdtpldt0(X0,sz10)) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,sz10)) ),
inference(resolution,[],[f54,f39]) ).
fof(f163,plain,
sdtasdt0(xa,sz00) = sdtasdt0(sz00,xa),
inference(resolution,[],[f115,f38]) ).
fof(f262,plain,
( sz00 != sdtasdt0(sz00,xa)
| spl0_1 ),
inference(superposition,[],[f60,f163]) ).
fof(f264,plain,
( ~ spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f262,f58,f62]) ).
fof(f289,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,xa) = sdtpldt0(sdtasdt0(X0,xa),sz00) ),
inference(resolution,[],[f88,f55]) ).
fof(f296,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,xa) = sdtpldt0(sz00,sdtasdt0(X0,xa)) ),
inference(resolution,[],[f89,f55]) ).
fof(f418,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(sz10,X0),sz00) = sdtpldt0(sdtasdt0(sz10,sz00),sdtasdt0(X0,sz00)) ),
inference(resolution,[],[f129,f39]) ).
fof(f424,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,sdtasdt0(X0,sz00)) = sdtasdt0(sdtpldt0(sz10,X0),sz00) ),
inference(forward_demodulation,[],[f418,f74]) ).
fof(f448,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xa,sdtpldt0(X0,sz10)) = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xa,sz10)) ),
inference(resolution,[],[f137,f55]) ).
fof(f449,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xa,sdtpldt0(X0,sz10)) = sdtpldt0(sdtasdt0(xa,X0),xa) ),
inference(forward_demodulation,[],[f448,f81]) ).
fof(f457,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| sdtpldt0(X0,sdtpldt0(X1,smndt0(xa))) = sdtpldt0(sdtpldt0(X0,X1),smndt0(xa))
| ~ aInteger0(X0) ),
inference(resolution,[],[f118,f55]) ).
fof(f595,plain,
sdtasdt0(sz00,xa) = sdtpldt0(sdtasdt0(sz00,xa),sz00),
inference(resolution,[],[f289,f38]) ).
fof(f603,plain,
sdtasdt0(sz00,xa) = sdtpldt0(sz00,sdtasdt0(sz00,xa)),
inference(resolution,[],[f296,f38]) ).
fof(f1108,plain,
sdtasdt0(xa,sdtpldt0(sz00,sz10)) = sdtpldt0(sdtasdt0(xa,sz00),xa),
inference(resolution,[],[f449,f38]) ).
fof(f1116,plain,
sdtasdt0(xa,sdtpldt0(sz00,sz10)) = sdtpldt0(sdtasdt0(sz00,xa),xa),
inference(forward_demodulation,[],[f1108,f163]) ).
fof(f1117,plain,
sdtasdt0(xa,sz10) = sdtpldt0(sdtasdt0(sz00,xa),xa),
inference(forward_demodulation,[],[f1116,f67]) ).
fof(f1118,plain,
xa = sdtpldt0(sdtasdt0(sz00,xa),xa),
inference(forward_demodulation,[],[f1117,f81]) ).
fof(f1542,plain,
sdtpldt0(sz00,sdtasdt0(xa,sz00)) = sdtasdt0(sdtpldt0(sz10,xa),sz00),
inference(resolution,[],[f424,f55]) ).
fof(f1543,plain,
sdtpldt0(sz00,sdtasdt0(sz00,xa)) = sdtasdt0(sdtpldt0(sz10,xa),sz00),
inference(forward_demodulation,[],[f1542,f163]) ).
fof(f1546,plain,
sdtasdt0(sz00,xa) = sdtasdt0(sdtpldt0(sz10,xa),sz00),
inference(forward_demodulation,[],[f1543,f603]) ).
fof(f1632,plain,
( aInteger0(sdtasdt0(sz00,xa))
| ~ aInteger0(sdtpldt0(sz10,xa))
| ~ aInteger0(sz00) ),
inference(superposition,[],[f42,f1546]) ).
fof(f1633,plain,
( aInteger0(sdtasdt0(sz00,xa))
| ~ aInteger0(sdtpldt0(sz10,xa)) ),
inference(forward_subsumption_resolution,[],[f1632,f38]) ).
fof(f1635,definition,
( spl0_5
<=> aInteger0(sdtpldt0(sz10,xa)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f1637,plain,
( ~ aInteger0(sdtpldt0(sz10,xa))
| spl0_5 ),
inference(avatar_component_clause,[],[f1635]) ).
fof(f1639,definition,
( spl0_6
<=> aInteger0(sdtasdt0(sz00,xa)) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f1641,plain,
( aInteger0(sdtasdt0(sz00,xa))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f1639]) ).
fof(f1642,plain,
( ~ spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f1633,f1639,f1635]) ).
fof(f1692,plain,
( ~ aInteger0(sz10)
| ~ aInteger0(xa)
| spl0_5 ),
inference(resolution,[],[f1637,f41]) ).
fof(f1693,plain,
( ~ aInteger0(xa)
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f1692,f39]) ).
fof(f1694,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f1693,f55]) ).
fof(f1695,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f1694]) ).
fof(f2764,plain,
! [X0] :
( sdtpldt0(X0,sdtpldt0(xa,smndt0(xa))) = sdtpldt0(sdtpldt0(X0,xa),smndt0(xa))
| ~ aInteger0(X0) ),
inference(resolution,[],[f457,f55]) ).
fof(f2765,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,xa),smndt0(xa)) ),
inference(forward_demodulation,[],[f2764,f101]) ).
fof(f7607,plain,
( sdtpldt0(sdtasdt0(sz00,xa),sz00) = sdtpldt0(sdtpldt0(sdtasdt0(sz00,xa),xa),smndt0(xa))
| ~ spl0_6 ),
inference(resolution,[],[f2765,f1641]) ).
fof(f7618,plain,
( sdtpldt0(xa,smndt0(xa)) = sdtpldt0(sdtasdt0(sz00,xa),sz00)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f7607,f1118]) ).
fof(f7627,plain,
( sdtasdt0(sz00,xa) = sdtpldt0(xa,smndt0(xa))
| ~ spl0_6 ),
inference(forward_demodulation,[],[f7618,f595]) ).
fof(f7632,plain,
( sz00 = sdtasdt0(sz00,xa)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f7627,f101]) ).
fof(f7633,plain,
( $false
| spl0_2
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f7632,f64]) ).
fof(f7634,plain,
( spl0_2
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f7633]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f65]) ).
cnf(s2,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f264]) ).
cnf(s5,plain,
( ~ spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f1642]) ).
cnf(s6,plain,
spl0_5,
inference(sat_conversion,[],[f1695]) ).
cnf(s9,plain,
( spl0_2
| ~ spl0_6 ),
inference(sat_conversion,[],[f7634]) ).
cnf(s11,plain,
spl0_6,
inference(rat,[],[s5,s6]) ).
cnf(s12,plain,
spl0_2,
inference(rat,[],[s9,s11]) ).
cnf(s14,plain,
spl0_1,
inference(rat,[],[s2,s12]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s1,s12,s14]) ).
fof(f7635,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM421+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.40 % Computer : n017.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sun Sep 27 19:45:51 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.44 Running first-order model finding
% 0.14/0.44 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
% 1.15/0.70 % (2896377)Will run a generic schedule for satisfiability detection.
% 1.15/0.70 % (2896385)dis+10_1_sil=32000:sp=arity:random_seed=3014427080:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.15/0.70 % (2896383)% WARNING: option uhcvi not known.
% 1.15/0.70 % (2896382)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4272036823_2999 on theBenchmark for (2999ds/0Mi)
% 1.15/0.70 % (2896383)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=315860076:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.15/0.70 % (2896384)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2190234000:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.15/0.70 % (2896386)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4286738514:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.15/0.70 % (2896387)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1527309034:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.15/0.70 % (2896388)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4026576488:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.15/0.70 % TRYING [1]
% 1.15/0.70 % TRYING [2]
% 1.15/0.70 % TRYING [3]
% 1.15/0.70 % TRYING [4]
% 1.15/0.70 % (2896385)Instruction limit reached!
% 1.15/0.70 % (2896385)------------------------------
% 1.15/0.70 % (2896385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.70 % (2896385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.70 % (2896385)CaDiCaL version: 2.1.3
% 1.15/0.70 % (2896385)Termination reason: Instruction limit
% 1.15/0.70 % (2896385)Termination phase: Saturation
% 1.15/0.70 % (2896385)Time elapsed: 0.032 s
% 1.15/0.70 % (2896385)Peak memory usage: 12 MB
% 1.15/0.70 % (2896385)Instructions burned: 106 (million)
% 1.15/0.70 % TRYING [5]
% 1.15/0.70 % (2896396)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2267641711:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.15/0.70 % TRYING [1]
% 1.15/0.70 % TRYING [2]
% 1.15/0.70 % TRYING [3]
% 1.15/0.70 % TRYING [4]
% 1.15/0.70 % TRYING [5]
% 1.15/0.70 % (2896386)Instruction limit reached!
% 1.15/0.70 % (2896386)------------------------------
% 1.15/0.70 % (2896386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.70 % (2896386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.70 % (2896386)CaDiCaL version: 2.1.3
% 1.15/0.70 % (2896386)Termination reason: Instruction limit
% 1.15/0.70 % (2896386)Termination phase: Saturation
% 1.15/0.70 % (2896386)Time elapsed: 0.065 s
% 1.15/0.70 % (2896386)Peak memory usage: 13 MB
% 1.15/0.70 % (2896386)Instructions burned: 116 (million)
% 1.15/0.70 % (2896387)Instruction limit reached!
% 1.15/0.70 % (2896387)------------------------------
% 1.15/0.70 % (2896387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.70 % (2896387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.70 % (2896387)CaDiCaL version: 2.1.3
% 1.15/0.70 % (2896387)Termination reason: Instruction limit
% 1.15/0.70 % (2896387)Termination phase: Saturation
% 1.15/0.70 % (2896387)Time elapsed: 0.069 s
% 1.15/0.70 % (2896387)Peak memory usage: 14 MB
% 1.15/0.70 % (2896387)Instructions burned: 131 (million)
% 1.15/0.70 % TRYING [6]
% 1.15/0.70 % TRYING [6]
% 1.15/0.70 % (2896398)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2770016469:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.15/0.70 % (2896399)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1967340736:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.15/0.70 % (2896388)Instruction limit reached!
% 1.15/0.70 % (2896388)------------------------------
% 1.15/0.70 % (2896388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.70 % (2896388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.70 % (2896388)CaDiCaL version: 2.1.3
% 1.15/0.70 % (2896388)Termination reason: Instruction limit
% 1.15/0.70 % (2896388)Termination phase: Saturation
% 1.15/0.70 % (2896388)Time elapsed: 0.094 s
% 1.15/0.70 % (2896388)Peak memory usage: 14 MB
% 1.15/0.70 % (2896388)Instructions burned: 159 (million)
% 1.15/0.70 % (2896402)ott-21_1_sil=16000:fs=off:random_seed=2463914098:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.15/0.70 % (2896398)Instruction limit reached!
% 1.15/0.70 % (2896398)------------------------------
% 1.15/0.70 % (2896398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.70 % (2896398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.70 % (2896398)CaDiCaL version: 2.1.3
% 1.15/0.70 % (2896398)Termination reason: Instruction limit
% 1.15/0.70 % (2896398)Termination phase: Saturation
% 1.15/0.70 % (2896398)Time elapsed: 0.059 s
% 1.15/0.70 % (2896398)Peak memory usage: 12 MB
% 1.15/0.70 % (2896398)Instructions burned: 133 (million)
% 1.15/0.70 % TRYING [7]
% 1.15/0.70 % (2896404)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2886878000:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.15/0.70 % (2896396)Instruction limit reached!
% 1.15/0.70 % (2896396)------------------------------
% 1.15/0.70 % (2896396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.70 % (2896396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.70 % (2896396)CaDiCaL version: 2.1.3
% 1.15/0.70 % (2896396)Termination reason: Instruction limit
% 1.15/0.70 % (2896396)Termination phase: Finite model building constraint generation
% 1.15/0.70 % (2896396)Time elapsed: 0.144 s
% 1.15/0.70 % (2896396)Peak memory usage: 30 MB
% 1.15/0.70 % (2896396)Instructions burned: 716 (million)
% 1.15/0.70 % (2896406)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3879643030:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.15/0.70 % TRYING [1]
% 1.15/0.70 % TRYING [2]
% 1.15/0.70 % TRYING [3]
% 1.15/0.70 % (2896402)Instruction limit reached!
% 1.15/0.70 % (2896402)------------------------------
% 1.15/0.70 % (2896402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.70 % (2896402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.70 % (2896402)CaDiCaL version: 2.1.3
% 1.15/0.70 % (2896402)Termination reason: Instruction limit
% 1.15/0.70 % (2896402)Termination phase: Saturation
% 1.15/0.70 % (2896402)Time elapsed: 0.086 s
% 1.15/0.70 % (2896402)Peak memory usage: 12 MB
% 1.15/0.70 % (2896402)Instructions burned: 181 (million)
% 1.15/0.70 % TRYING [7]
% 1.15/0.70 % TRYING [4]
% 1.15/0.70 % (2896383) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2896377-2896383"...
% 1.15/0.70 % (2896383)...printing done.
% 1.15/0.70 % (2896408)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3386329700:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.15/0.70 % (2896383)Refutation found. Thanks to Tanya!
% 1.15/0.70 % SZS status Theorem for theBenchmark
% 1.15/0.70 % SZS output start Proof for theBenchmark
% See solution above
% 1.15/0.70 % (2896383)------------------------------
% 1.15/0.70 % (2896383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.15/0.70 % (2896383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.15/0.70 % (2896383)CaDiCaL version: 2.1.3
% 1.15/0.70 % (2896383)Termination reason: Refutation
% 1.15/0.70 % (2896383)Time elapsed: 0.220 s
% 1.15/0.70 % (2896383)Peak memory usage: 16 MB
% 1.15/0.70 % (2896383)Instructions burned: 428 (million)
% 1.15/0.70 % (2896377)Success in time 0.256 s
% 1.15/0.70 % Vampire exiting
%------------------------------------------------------------------------------