%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN796-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 02:18:19 PM UTC 2026
% Result : Unsatisfiable 1.10s 0.54s
% Output : Refutation 1.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 52
% Syntax : Number of formulae : 105 ( 5 unt; 0 def)
% Number of atoms : 631 ( 0 equ)
% Maximal formula atoms : 7 ( 6 avg)
% Number of connectives : 849 ( 323 ~; 526 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 330 ( 330 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : ssRr(skf3(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f2,negated_conjecture,
! [X0] : ssRr(X0,skf2(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f3,negated_conjecture,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ssPv3(X1)
| ssPv1(X0)
| ssPv3(X0)
| ssPv4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f4,negated_conjecture,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X0)
| ssPv1(X1)
| ssPv2(X0)
| ssPv3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f5,negated_conjecture,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ssPv2(X0)
| ssPv1(X1)
| ssPv4(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f6,negated_conjecture,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ssPv2(X0)
| ssPv1(X1)
| ssPv3(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f7,negated_conjecture,
! [X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ~ ssPv1(X1)
| ~ ssPv4(X1)
| ssPv2(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
fof(f8,negated_conjecture,
! [X2,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ssPv4(X0)
| ssPv2(X2)
| ssPv1(X1)
| ssPv2(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f9,negated_conjecture,
! [X2,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X1)
| ~ ssPv1(X1)
| ssPv4(X0)
| ssPv1(X2)
| ssPv4(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
fof(f10,negated_conjecture,
! [X2,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X0)
| ~ ssRr(X2,X1)
| ssPv3(X2)
| ssPv3(X1)
| ssPv4(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
fof(f11,negated_conjecture,
! [X2,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X0,X2)
| ssPv2(X2)
| ssPv3(X0)
| ssPv4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
fof(f12,negated_conjecture,
! [X2,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ~ ssRr(X1,X2)
| ssPv2(X2)
| ssPv2(X1)
| ssPv3(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).
fof(f13,negated_conjecture,
! [X2,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ssPv4(X0)
| ssPv2(X2)
| ssPv1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).
fof(f14,negated_conjecture,
! [X2,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv2(X1)
| ssPv1(X0)
| ssPv4(X2)
| ssPv1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).
fof(f15,negated_conjecture,
! [X2,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ~ ssRr(X2,X1)
| ssPv4(X2)
| ssPv1(X1)
| ssPv4(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause15) ).
fof(f16,negated_conjecture,
! [X2,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X0,X2)
| ssPv4(X2)
| ssPv1(X0)
| ssPv4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).
fof(f17,negated_conjecture,
! [X2,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ~ ssRr(X1,X2)
| ssPv2(X2)
| ssPv1(X1)
| ssPv3(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).
fof(f18,negated_conjecture,
! [X2,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv2(X1)
| ~ ssPv3(X1)
| ssPv4(X0)
| ssPv2(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).
fof(f19,negated_conjecture,
! [X2,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X0)
| ~ ssPv4(X0)
| ssPv4(X1)
| ssPv3(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).
fof(f20,negated_conjecture,
! [X2,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X1)
| ~ ssPv1(X1)
| ~ ssPv2(X1)
| ssPv3(X0)
| ssPv2(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).
fof(f21,negated_conjecture,
! [X2,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ~ ssRr(X1,X2)
| ~ ssPv4(X1)
| ssPv2(X2)
| ssPv3(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause21) ).
fof(f22,negated_conjecture,
! [X2,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X0)
| ssPv1(X2)
| ssPv3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).
fof(f23,negated_conjecture,
! [X2,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv1(X2)
| ~ ssPv4(X1)
| ssPv2(X0)
| ssPv2(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause23) ).
fof(f24,negated_conjecture,
! [X2,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssPv3(X1)
| ssPv2(X0)
| ssPv2(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).
fof(f25,negated_conjecture,
! [X2,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv4(X2)
| ~ ssPv1(X1)
| ssPv2(X0)
| ssPv2(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).
fof(f26,negated_conjecture,
! [X2,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X2)
| ssPv2(X0)
| ssPv3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).
fof(f27,negated_conjecture,
! [X2,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv4(X2)
| ~ ssPv2(X1)
| ssPv1(X0)
| ssPv1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).
fof(f28,negated_conjecture,
! [X2,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(X2)
| ssPv1(X0)
| ssPv2(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).
fof(f29,negated_conjecture,
! [X2,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv4(X2)
| ~ ssPv3(X1)
| ~ ssPv4(X1)
| ssPv4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).
fof(f30,negated_conjecture,
! [X2,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X1)
| ~ ssRr(X0,X2)
| ~ ssPv2(X0)
| ~ ssPv3(X0)
| ssPv4(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).
fof(f31,negated_conjecture,
! [X2,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv1(X2)
| ~ ssPv1(X1)
| ~ ssPv3(X1)
| ssPv3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).
fof(f32,negated_conjecture,
! [X2,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X0)
| ~ ssPv3(X0)
| ssPv1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
fof(f33,negated_conjecture,
! [X2,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X0)
| ~ ssPv2(X0)
| ssPv1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
fof(f34,negated_conjecture,
! [X2,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X2)
| ~ ssPv1(X0)
| ~ ssPv4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
fof(f35,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X1)
| ~ ssRr(X1,X3)
| ~ ssPv1(X1)
| ssPv3(X0)
| ssPv2(X2)
| ssPv4(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
fof(f36,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X0,X2)
| ~ ssRr(X0,X3)
| ssPv4(X2)
| ssPv2(X3)
| ssPv3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
fof(f37,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ~ ssRr(X2,X1)
| ~ ssRr(X1,X3)
| ssPv4(X2)
| ssPv4(X3)
| ssPv2(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
fof(f38,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv1(X2)
| ~ ssRr(X1,X3)
| ssPv4(X0)
| ssPv4(X3)
| ssPv2(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
fof(f39,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssRr(X2,X1)
| ~ ssRr(X1,X3)
| ~ ssPv1(X3)
| ssPv3(X0)
| ssPv1(X2)
| ssPv1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
fof(f40,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv3(X0)
| ~ ssRr(X2,X1)
| ~ ssRr(X1,X3)
| ~ ssPv2(X3)
| ssPv4(X2)
| ssPv3(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
fof(f41,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ~ ssRr(X1,X2)
| ~ ssRr(X1,X3)
| ~ ssPv1(X1)
| ssPv3(X2)
| ssPv1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
fof(f42,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv1(X0)
| ~ ssRr(X2,X1)
| ~ ssRr(X1,X3)
| ~ ssPv4(X3)
| ssPv4(X2)
| ssPv2(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
fof(f43,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X1)
| ~ ssRr(X0,X2)
| ~ ssPv1(X2)
| ~ ssRr(X0,X3)
| ~ ssPv3(X0)
| ssPv1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
fof(f44,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ~ ssRr(X2,X1)
| ~ ssRr(X1,X3)
| ~ ssPv1(X3)
| ~ ssPv2(X1)
| ssPv3(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
fof(f45,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ~ ssRr(X1,X2)
| ~ ssPv3(X2)
| ~ ssRr(X1,X3)
| ~ ssPv2(X1)
| ssPv1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
fof(f46,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X0)
| ~ ssRr(X2,X1)
| ~ ssPv3(X2)
| ~ ssRr(X3,X1)
| ~ ssPv1(X3)
| ssPv2(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
fof(f47,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv3(X2)
| ~ ssRr(X1,X3)
| ~ ssPv1(X3)
| ~ ssPv1(X1)
| ssPv3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f48,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X0)
| ~ ssRr(X2,X1)
| ~ ssPv2(X2)
| ~ ssRr(X1,X3)
| ~ ssPv4(X1)
| ssPv3(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
fof(f49,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X0)
| ~ ssRr(X2,X1)
| ~ ssPv1(X2)
| ~ ssRr(X1,X3)
| ~ ssPv1(X1)
| ssPv2(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
fof(f50,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv4(X0)
| ~ ssRr(X2,X1)
| ~ ssPv3(X2)
| ~ ssRr(X1,X3)
| ~ ssPv3(X3)
| ssPv1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
fof(f51,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssRr(X1,X2)
| ~ ssPv3(X2)
| ~ ssRr(X1,X3)
| ~ ssPv1(X3)
| ~ ssPv3(X1)
| ssPv4(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
fof(f52,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ ssRr(X0,X1)
| ~ ssPv2(X0)
| ~ ssRr(X2,X1)
| ~ ssPv1(X2)
| ~ ssRr(X1,X3)
| ~ ssPv1(X3)
| ~ ssPv1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
fof(f53,plain,
! [X0] : ~ ssRr(skf3(X0),X0),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f54,plain,
! [X0] : ~ ssRr(X0,skf2(X0)),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f55,plain,
! [X0,X1] :
( ssRr(X0,X1)
| ssPv3(X1)
| ssPv1(X0)
| ssPv3(X0)
| ~ ssPv4(X0) ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f56,plain,
! [X0,X1] :
( ssRr(X0,X1)
| ssPv4(X0)
| ssPv1(X1)
| ~ ssPv2(X0)
| ssPv3(X0) ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f57,plain,
! [X0,X1] :
( ssRr(X0,X1)
| ssPv2(X1)
| ~ ssPv2(X0)
| ssPv1(X1)
| ~ ssPv4(X1) ),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f58,plain,
! [X0,X1] :
( ssRr(X0,X1)
| ssPv4(X1)
| ~ ssPv2(X0)
| ssPv1(X1)
| ssPv3(X1) ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f59,plain,
! [X0,X1] :
( ssRr(X0,X1)
| ~ ssPv1(X0)
| ~ ssPv1(X1)
| ssPv4(X1)
| ~ ssPv2(X1) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ssRr(X0,X1)
| ssRr(X1,X2)
| ~ ssPv4(X0)
| ~ ssPv2(X2)
| ssPv1(X1)
| ~ ssPv2(X1) ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ssRr(X0,X1)
| ssRr(X2,X1)
| ~ ssPv1(X1)
| ~ ssPv4(X0)
| ssPv1(X2)
| ~ ssPv4(X1) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ssRr(X0,X1)
| ssPv4(X0)
| ssRr(X2,X1)
| ssPv3(X2)
| ssPv3(X1)
| ~ ssPv4(X1) ),
inference(consistent_polarity_flipping,[],[f10]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ssRr(X0,X1)
| ~ ssPv1(X1)
| ssRr(X0,X2)
| ~ ssPv2(X2)
| ssPv3(X0)
| ~ ssPv4(X0) ),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ssRr(X0,X1)
| ssPv2(X0)
| ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssPv2(X1)
| ssPv3(X1) ),
inference(consistent_polarity_flipping,[],[f12]) ).
fof(f65,plain,
! [X2,X0,X1] :
( ssRr(X0,X1)
| ssRr(X1,X2)
| ~ ssPv3(X1)
| ~ ssPv4(X0)
| ~ ssPv2(X2)
| ssPv1(X1) ),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ssRr(X0,X1)
| ssRr(X1,X2)
| ssPv2(X1)
| ssPv1(X0)
| ~ ssPv4(X2)
| ssPv1(X1) ),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f67,plain,
! [X2,X0,X1] :
( ssRr(X0,X1)
| ~ ssPv3(X0)
| ssRr(X2,X1)
| ~ ssPv4(X2)
| ssPv1(X1)
| ~ ssPv4(X1) ),
inference(consistent_polarity_flipping,[],[f15]) ).
fof(f68,plain,
! [X2,X0,X1] :
( ssRr(X0,X1)
| ~ ssPv1(X1)
| ssRr(X0,X2)
| ~ ssPv4(X2)
| ssPv1(X0)
| ~ ssPv4(X0) ),
inference(consistent_polarity_flipping,[],[f16]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ssRr(X0,X1)
| ssPv2(X0)
| ssRr(X1,X2)
| ~ ssPv2(X2)
| ssPv1(X1)
| ssPv3(X1) ),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f70,plain,
! [X2,X0,X1] :
( ssRr(X0,X1)
| ssRr(X1,X2)
| ssPv2(X1)
| ~ ssPv3(X1)
| ~ ssPv4(X0)
| ~ ssPv2(X2) ),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ssRr(X0,X1)
| ssRr(X0,X2)
| ~ ssPv1(X0)
| ssPv4(X0)
| ~ ssPv4(X1)
| ssPv3(X2) ),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f72,plain,
! [X2,X0,X1] :
( ssRr(X0,X1)
| ssRr(X2,X1)
| ~ ssPv1(X1)
| ssPv2(X1)
| ssPv3(X0)
| ~ ssPv2(X2) ),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f73,plain,
! [X2,X0,X1] :
( ssRr(X0,X1)
| ~ ssPv3(X0)
| ssRr(X1,X2)
| ssPv4(X1)
| ~ ssPv2(X2)
| ssPv3(X1) ),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f74,plain,
! [X2,X0,X1] :
( ssRr(X0,X1)
| ~ ssPv3(X1)
| ssRr(X0,X2)
| ~ ssPv1(X0)
| ssPv1(X2)
| ssPv3(X0) ),
inference(consistent_polarity_flipping,[],[f22]) ).
fof(f75,plain,
! [X2,X0,X1] :
( ssRr(X0,X1)
| ssRr(X1,X2)
| ~ ssPv1(X2)
| ssPv4(X1)
| ~ ssPv2(X0)
| ~ ssPv2(X1) ),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f76,plain,
! [X2,X0,X1] :
( ssRr(X0,X1)
| ssRr(X1,X2)
| ssPv2(X2)
| ~ ssPv3(X1)
| ~ ssPv2(X0)
| ~ ssPv2(X1) ),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f77,plain,
! [X2,X0,X1] :
( ssRr(X0,X1)
| ssRr(X1,X2)
| ssPv4(X2)
| ~ ssPv1(X1)
| ~ ssPv2(X0)
| ~ ssPv2(X1) ),
inference(consistent_polarity_flipping,[],[f25]) ).
fof(f78,plain,
! [X2,X0,X1] :
( ssRr(X0,X1)
| ssPv2(X1)
| ssRr(X0,X2)
| ~ ssPv1(X2)
| ~ ssPv2(X0)
| ssPv3(X0) ),
inference(consistent_polarity_flipping,[],[f26]) ).
fof(f79,plain,
! [X2,X0,X1] :
( ssRr(X0,X1)
| ssRr(X1,X2)
| ssPv4(X2)
| ssPv2(X1)
| ssPv1(X0)
| ssPv1(X1) ),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f80,plain,
! [X2,X0,X1] :
( ssRr(X0,X1)
| ssPv4(X1)
| ssRr(X0,X2)
| ssPv2(X2)
| ssPv1(X0)
| ~ ssPv2(X0) ),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f81,plain,
! [X2,X0,X1] :
( ssRr(X0,X1)
| ssRr(X1,X2)
| ssPv4(X2)
| ~ ssPv3(X1)
| ssPv4(X1)
| ~ ssPv4(X0) ),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f82,plain,
! [X2,X0,X1] :
( ssRr(X0,X1)
| ~ ssPv1(X1)
| ssRr(X0,X2)
| ssPv2(X0)
| ~ ssPv3(X0)
| ~ ssPv4(X2) ),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f83,plain,
! [X2,X0,X1] :
( ssRr(X0,X1)
| ssRr(X1,X2)
| ~ ssPv1(X2)
| ~ ssPv1(X1)
| ~ ssPv3(X1)
| ssPv3(X0) ),
inference(consistent_polarity_flipping,[],[f31]) ).
fof(f84,plain,
! [X2,X0,X1] :
( ssRr(X0,X1)
| ssPv2(X1)
| ssRr(X0,X2)
| ~ ssPv1(X0)
| ~ ssPv3(X0)
| ssPv1(X2) ),
inference(consistent_polarity_flipping,[],[f32]) ).
fof(f85,plain,
! [X2,X0,X1] :
( ssRr(X0,X1)
| ~ ssPv3(X1)
| ssRr(X0,X2)
| ~ ssPv1(X0)
| ssPv2(X0)
| ssPv1(X2) ),
inference(consistent_polarity_flipping,[],[f33]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ssRr(X0,X1)
| ssPv2(X1)
| ssRr(X0,X2)
| ~ ssPv1(X2)
| ~ ssPv1(X0)
| ssPv4(X0) ),
inference(consistent_polarity_flipping,[],[f34]) ).
fof(f87,plain,
! [X2,X3,X0,X1] :
( ssRr(X0,X1)
| ssRr(X2,X1)
| ssRr(X1,X3)
| ~ ssPv1(X1)
| ssPv3(X0)
| ~ ssPv2(X2)
| ~ ssPv4(X3) ),
inference(consistent_polarity_flipping,[],[f35]) ).
fof(f88,plain,
! [X2,X3,X0,X1] :
( ssRr(X0,X1)
| ssPv2(X1)
| ssRr(X0,X2)
| ssRr(X0,X3)
| ~ ssPv4(X2)
| ~ ssPv2(X3)
| ssPv3(X0) ),
inference(consistent_polarity_flipping,[],[f36]) ).
fof(f89,plain,
! [X2,X3,X0,X1] :
( ssRr(X0,X1)
| ssPv2(X0)
| ssRr(X2,X1)
| ssRr(X1,X3)
| ~ ssPv4(X2)
| ~ ssPv4(X3)
| ~ ssPv2(X1) ),
inference(consistent_polarity_flipping,[],[f37]) ).
fof(f90,plain,
! [X2,X3,X0,X1] :
( ssRr(X0,X1)
| ssRr(X1,X2)
| ~ ssPv1(X2)
| ssRr(X1,X3)
| ~ ssPv4(X0)
| ~ ssPv4(X3)
| ~ ssPv2(X1) ),
inference(consistent_polarity_flipping,[],[f38]) ).
fof(f91,plain,
! [X2,X3,X0,X1] :
( ssRr(X0,X1)
| ssRr(X2,X1)
| ssRr(X1,X3)
| ~ ssPv1(X3)
| ssPv3(X0)
| ssPv1(X2)
| ssPv1(X1) ),
inference(consistent_polarity_flipping,[],[f39]) ).
fof(f92,plain,
! [X2,X3,X0,X1] :
( ssRr(X0,X1)
| ~ ssPv3(X0)
| ssRr(X2,X1)
| ssRr(X1,X3)
| ssPv2(X3)
| ~ ssPv4(X2)
| ssPv3(X1) ),
inference(consistent_polarity_flipping,[],[f40]) ).
fof(f93,plain,
! [X2,X3,X0,X1] :
( ssRr(X0,X1)
| ~ ssPv1(X0)
| ssRr(X1,X2)
| ssRr(X1,X3)
| ~ ssPv1(X1)
| ssPv3(X2)
| ssPv1(X3) ),
inference(consistent_polarity_flipping,[],[f41]) ).
fof(f94,plain,
! [X2,X3,X0,X1] :
( ssRr(X0,X1)
| ~ ssPv1(X0)
| ssRr(X2,X1)
| ssRr(X1,X3)
| ssPv4(X3)
| ~ ssPv4(X2)
| ~ ssPv2(X1) ),
inference(consistent_polarity_flipping,[],[f42]) ).
fof(f95,plain,
! [X2,X3,X0,X1] :
( ssRr(X0,X1)
| ssPv2(X1)
| ssRr(X0,X2)
| ~ ssPv1(X2)
| ssRr(X0,X3)
| ~ ssPv3(X0)
| ssPv1(X3) ),
inference(consistent_polarity_flipping,[],[f43]) ).
fof(f96,plain,
! [X2,X3,X0,X1] :
( ssRr(X0,X1)
| ssPv2(X0)
| ssRr(X2,X1)
| ssRr(X1,X3)
| ~ ssPv1(X3)
| ssPv2(X1)
| ssPv3(X2) ),
inference(consistent_polarity_flipping,[],[f44]) ).
fof(f97,plain,
! [X2,X3,X0,X1] :
( ssRr(X0,X1)
| ssPv2(X0)
| ssRr(X1,X2)
| ~ ssPv3(X2)
| ssRr(X1,X3)
| ssPv2(X1)
| ssPv1(X3) ),
inference(consistent_polarity_flipping,[],[f45]) ).
fof(f98,plain,
! [X2,X3,X0,X1] :
( ssRr(X0,X1)
| ssPv4(X0)
| ssRr(X2,X1)
| ~ ssPv3(X2)
| ssRr(X3,X1)
| ~ ssPv1(X3)
| ~ ssPv2(X1) ),
inference(consistent_polarity_flipping,[],[f46]) ).
fof(f99,plain,
! [X2,X3,X0,X1] :
( ssRr(X0,X1)
| ssRr(X1,X2)
| ~ ssPv3(X2)
| ssRr(X1,X3)
| ~ ssPv1(X3)
| ~ ssPv1(X1)
| ssPv3(X0) ),
inference(consistent_polarity_flipping,[],[f47]) ).
fof(f100,plain,
! [X2,X3,X0,X1] :
( ssRr(X0,X1)
| ssPv4(X0)
| ssRr(X2,X1)
| ssPv2(X2)
| ssRr(X1,X3)
| ssPv4(X1)
| ssPv3(X3) ),
inference(consistent_polarity_flipping,[],[f48]) ).
fof(f101,plain,
! [X2,X3,X0,X1] :
( ssRr(X0,X1)
| ssPv4(X0)
| ssRr(X2,X1)
| ~ ssPv1(X2)
| ssRr(X1,X3)
| ~ ssPv1(X1)
| ~ ssPv2(X3) ),
inference(consistent_polarity_flipping,[],[f49]) ).
fof(f102,plain,
! [X2,X3,X0,X1] :
( ssRr(X0,X1)
| ssPv4(X0)
| ssRr(X2,X1)
| ~ ssPv3(X2)
| ssRr(X1,X3)
| ~ ssPv3(X3)
| ssPv1(X1) ),
inference(consistent_polarity_flipping,[],[f50]) ).
fof(f103,plain,
! [X2,X3,X0,X1] :
( ssRr(X0,X1)
| ssRr(X1,X2)
| ~ ssPv3(X2)
| ssRr(X1,X3)
| ~ ssPv1(X3)
| ~ ssPv3(X1)
| ~ ssPv4(X0) ),
inference(consistent_polarity_flipping,[],[f51]) ).
fof(f104,plain,
! [X2,X3,X0,X1] :
( ssRr(X0,X1)
| ssPv2(X0)
| ssRr(X2,X1)
| ~ ssPv1(X2)
| ssRr(X1,X3)
| ~ ssPv1(X3)
| ~ ssPv1(X1) ),
inference(consistent_polarity_flipping,[],[f52]) ).
fof(f233,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f53,f54,f55,f56,f57,f58,f59,f60,f61,f62,f63,f64,f65,f66,f67,f68,f69,f70,f71,f72,f73,f74,f75,f76,f77,f78,f79,f80,f81,f82,f83,f84,f85,f86,f87,f88,f89,f90,f91,f92,f93,f94,f95,f96,f97,f98,f99,f100,f101,f102,f103,f104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN796-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.30/0.31 % Computer : n014.cluster.edu
% 0.30/0.31 % Model : x86_64 x86_64
% 0.30/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.30/0.31 % Memory : 8046.5625MB
% 0.30/0.31 % OS : Linux 6.8.0-71-generic
% 0.30/0.31 % CPULimit : 300
% 0.30/0.31 % WCLimit : 300
% 0.30/0.31 % DateTime : Mon Sep 28 16:56:31 UTC 2026
% 0.30/0.32 % CPUTime :
% 0.30/0.32 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.30/0.37 Running first-order model finding
% 0.30/0.37 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
% 1.10/0.54 % (1917738)Will run a generic schedule for satisfiability detection.
% 1.10/0.54 % (1917747)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3718036239:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.10/0.54 % (1917744)% WARNING: option uhcvi not known.
% 1.10/0.54 % (1917746)dis+10_1_sil=32000:sp=arity:random_seed=56208689:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.10/0.54 % (1917748)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=977011750:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.10/0.54 % (1917743)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3091365288_2999 on theBenchmark for (2999ds/0Mi)
% 1.10/0.54 % (1917744)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=978223386:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.10/0.54 % (1917745)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1242791170:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.10/0.54 % (1917749)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3022431405:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.10/0.54 % TRYING [1]
% 1.10/0.54 % TRYING [2]
% 1.10/0.54 % TRYING [3]
% 1.10/0.54 % TRYING [4]
% 1.10/0.54 % TRYING [5]
% 1.10/0.54 % (1917747)Instruction limit reached!
% 1.10/0.54 % (1917747)------------------------------
% 1.10/0.54 % (1917747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.54 % (1917747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.54 % (1917747)CaDiCaL version: 2.1.3
% 1.10/0.54 % (1917747)Termination reason: Instruction limit
% 1.10/0.54 % (1917747)Termination phase: Saturation
% 1.10/0.54 % (1917747)Time elapsed: 0.048 s
% 1.10/0.54 % (1917747)Peak memory usage: 11 MB
% 1.10/0.54 % (1917747)Instructions burned: 119 (million)
% 1.10/0.54 % TRYING [6]
% 1.10/0.54 % TRYING [7]
% 1.10/0.54 % (1917743) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1917738-1917743"...
% 1.10/0.54 % (1917746)Instruction limit reached!
% 1.10/0.54 % (1917746)------------------------------
% 1.10/0.54 % (1917746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.54 % (1917746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.54 % (1917746)CaDiCaL version: 2.1.3
% 1.10/0.54 % (1917746)Termination reason: Instruction limit
% 1.10/0.54 % (1917746)Termination phase: Saturation
% 1.10/0.54 % (1917746)Time elapsed: 0.097 s
% 1.10/0.54 % (1917746)Peak memory usage: 11 MB
% 1.10/0.54 % (1917746)Instructions burned: 103 (million)
% 1.10/0.54 % (1917743)...printing done.
% 1.10/0.54 % (1917743)Refutation found. Thanks to Tanya!
% 1.10/0.54 % SZS status Unsatisfiable for theBenchmark
% 1.10/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.10/0.54 % (1917743)------------------------------
% 1.10/0.54 % (1917743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.10/0.54 % (1917743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.10/0.54 % (1917743)CaDiCaL version: 2.1.3
% 1.10/0.54 % (1917743)Termination reason: Refutation
% 1.10/0.54 % (1917743)Time elapsed: 0.096 s
% 1.10/0.54 % (1917743)Peak memory usage: 12 MB
% 1.10/0.54 % (1917743)Instructions burned: 114 (million)
% 1.10/0.54 % (1917738)Success in time 0.155 s
% 1.10/0.54 % Vampire exiting
%------------------------------------------------------------------------------