%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG429-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 09:30:31 AM UTC 2026
% Result : Unsatisfiable 0.21s 0.34s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of formulae : 77 ( 11 unt; 8 def)
% Number of atoms : 213 ( 68 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 222 ( 86 ~; 128 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 9 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1486,axiom,
v_p != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pe_0) ).
fof(f1487,plain,
c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_p,
inference(reorient_equations,[],[f1486]) ).
fof(f1492,axiom,
! [X0] :
( c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_nat)
| c_Polynomial_Opoly(v_q,X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_4) ).
fof(f1493,plain,
! [X0] :
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_HOL_Ozero__class_Ozero(tc_nat) = c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q,X0,tc_Complex_Ocomplex) ),
inference(reorient_equations,[],[f1492]) ).
fof(f1496,axiom,
( c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_nat)
| v_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_2) ).
fof(f1497,plain,
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_nat) = c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_p
| c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(reorient_equations,[],[f1496]) ).
fof(f1500,axiom,
( v_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f1501,plain,
( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_p
| c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_nat) = c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) ),
inference(reorient_equations,[],[f1500]) ).
fof(f1504,axiom,
! [X0] :
( c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_nat)
| c_Polynomial_Opoly(v_q,X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_4_02) ).
fof(f1505,plain,
! [X0] :
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_HOL_Ozero__class_Ozero(tc_nat) != c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q,X0,tc_Complex_Ocomplex) ),
inference(reorient_equations,[],[f1504]) ).
fof(f1508,axiom,
( c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_nat)
| v_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_2_04) ).
fof(f1509,plain,
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_nat) != c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_p
| c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(reorient_equations,[],[f1508]) ).
fof(f1512,axiom,
( c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_nat)
| v_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_06) ).
fof(f1513,plain,
( c_HOL_Ozero__class_Ozero(tc_nat) != c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_p
| c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) ),
inference(reorient_equations,[],[f1512]) ).
fof(f1514,negated_conjecture,
( ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1515,plain,
( ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex) ),
inference(reorient_equations,[],[f1514]) ).
fof(f1516,negated_conjecture,
( c_Polynomial_Opoly(v_q,v_x,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1517,plain,
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q,v_x,tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(reorient_equations,[],[f1516]) ).
fof(f1522,negated_conjecture,
! [X0] :
( c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| v_p = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Polynomial_Opoly(v_q,X0,tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1523,plain,
! [X0] :
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_p
| c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q,X0,tc_Complex_Ocomplex) ),
inference(reorient_equations,[],[f1522]) ).
fof(f1713,definition,
( spl0_1
<=> c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Power_Opower__class_Opower(v_q,c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1721,definition,
( spl0_3
<=> ! [X0] :
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q,X0,tc_Complex_Ocomplex) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f1722,plain,
( ! [X0] :
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q,X0,tc_Complex_Ocomplex) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f1721]) ).
fof(f1725,definition,
( spl0_4
<=> c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_p ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f1728,plain,
( spl0_1
| spl0_4
| spl0_3 ),
inference(avatar_split_clause,[],[f1523,f1721,f1725,f1713]) ).
fof(f1730,definition,
( spl0_5
<=> c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q,v_x,tc_Complex_Ocomplex) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f1732,plain,
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q,v_x,tc_Complex_Ocomplex)
| spl0_5 ),
inference(avatar_component_clause,[],[f1730]) ).
fof(f1735,definition,
( spl0_6
<=> c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f1737,plain,
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_p,v_x,tc_Complex_Ocomplex)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f1735]) ).
fof(f1739,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f1517,f1730,f1713]) ).
fof(f1740,plain,
( spl0_6
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f1515,f1713,f1735]) ).
fof(f1742,definition,
( spl0_7
<=> c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f1744,plain,
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_p,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f1742]) ).
fof(f1746,definition,
( spl0_8
<=> c_HOL_Ozero__class_Ozero(tc_nat) = c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f1749,plain,
( spl0_7
| spl0_1
| spl0_4
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1513,f1746,f1725,f1713,f1742]) ).
fof(f1752,definition,
( spl0_9
<=> c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f1754,plain,
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex)
| spl0_9 ),
inference(avatar_component_clause,[],[f1752]) ).
fof(f1755,plain,
( spl0_1
| spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1509,f1752,f1746,f1725,f1713]) ).
fof(f1757,plain,
( ~ spl0_8
| ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f1505,f1721,f1713,f1746]) ).
fof(f1759,plain,
( spl0_8
| spl0_7
| spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f1501,f1725,f1713,f1742,f1746]) ).
fof(f1761,plain,
( spl0_1
| spl0_4
| spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1497,f1752,f1746,f1725,f1713]) ).
fof(f1763,plain,
( spl0_8
| ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f1493,f1721,f1713,f1746]) ).
fof(f1765,plain,
~ spl0_4,
inference(avatar_split_clause,[],[f1487,f1725]) ).
fof(f2375,plain,
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex)
| ~ spl0_3
| ~ spl0_7 ),
inference(superposition,[],[f1722,f1744]) ).
fof(f2376,plain,
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q,v_sko__CHAINED__1(v_p,v_q),tc_Complex_Ocomplex)
| ~ spl0_3
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f2375]) ).
fof(f2377,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f2376,f1754]) ).
fof(f2378,plain,
( ~ spl0_3
| ~ spl0_7
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2377]) ).
fof(f2379,plain,
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q,v_x,tc_Complex_Ocomplex)
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f1722,f1737]) ).
fof(f2380,plain,
( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_q,v_x,tc_Complex_Ocomplex)
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f2379]) ).
fof(f2381,plain,
( $false
| ~ spl0_3
| spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f2380,f1732]) ).
fof(f2382,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f2381]) ).
cnf(s2,plain,
( spl0_1
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f1728]) ).
cnf(s5,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(sat_conversion,[],[f1739]) ).
cnf(s6,plain,
( ~ spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f1740]) ).
cnf(s7,plain,
( spl0_1
| spl0_4
| spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f1749]) ).
cnf(s9,plain,
( spl0_1
| spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f1755]) ).
cnf(s11,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_8 ),
inference(sat_conversion,[],[f1757]) ).
cnf(s13,plain,
( spl0_1
| spl0_4
| spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f1759]) ).
cnf(s15,plain,
( spl0_1
| spl0_4
| spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f1761]) ).
cnf(s17,plain,
( ~ spl0_1
| spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f1763]) ).
cnf(s19,plain,
~ spl0_4,
inference(sat_conversion,[],[f1765]) ).
cnf(s21,plain,
( ~ spl0_3
| ~ spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f2378]) ).
cnf(s22,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f2382]) ).
cnf(s23,plain,
( spl0_1
| spl0_8
| ~ spl0_9 ),
inference(rat,[],[s15,s19]) ).
cnf(s24,plain,
( spl0_1
| spl0_7
| spl0_8 ),
inference(rat,[],[s13,s19]) ).
cnf(s25,plain,
( spl0_1
| ~ spl0_8
| ~ spl0_9 ),
inference(rat,[],[s9,s19]) ).
cnf(s26,plain,
( spl0_1
| spl0_7
| ~ spl0_8 ),
inference(rat,[],[s7,s19]) ).
cnf(s27,plain,
( spl0_1
| spl0_3 ),
inference(rat,[],[s2,s19]) ).
cnf(s28,plain,
( spl0_7
| spl0_1 ),
inference(rat,[],[s26,s24]) ).
cnf(s29,plain,
( ~ spl0_9
| spl0_1 ),
inference(rat,[],[s25,s23]) ).
cnf(s30,plain,
spl0_1,
inference(rat,[],[s29,s21,s28,s27]) ).
cnf(s31,plain,
spl0_6,
inference(rat,[],[s6,s30]) ).
cnf(s32,plain,
~ spl0_5,
inference(rat,[],[s5,s30]) ).
cnf(s33,plain,
~ spl0_3,
inference(rat,[],[s22,s31,s32]) ).
cnf(s34,plain,
spl0_8,
inference(rat,[],[s17,s30,s33]) ).
cnf(s35,plain,
$false,
inference(rat,[],[s11,s30,s34,s33]) ).
fof(f2383,plain,
$false,
inference(avatar_sat_refutation,[],[s35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG429-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n004.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 20:21:07 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.34 % (718715)Will run a generic schedule for satisfiability detection.
% 0.21/0.34 % (718725)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1862330504:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.34 % (718721)% WARNING: option uhcvi not known.
% 0.21/0.34 % (718720)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3537334912_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.34 % (718721)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3577228550:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.34 % (718722)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=118784439:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.34 % (718723)dis+10_1_sil=32000:sp=arity:random_seed=1549589820:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.34 % (718724)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2987456942:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.34 % (718726)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=173304345:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.34 % (718725) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-718715-718725"...
% 0.21/0.34 % (718725)...printing done.
% 0.21/0.34 % (718725)Refutation found. Thanks to Tanya!
% 0.21/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.34 % (718725)------------------------------
% 0.21/0.34 % (718725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (718725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (718725)CaDiCaL version: 2.1.3
% 0.21/0.34 % (718725)Termination reason: Refutation
% 0.21/0.34 % (718725)Time elapsed: 0.023 s
% 0.21/0.34 % (718725)Peak memory usage: 14 MB
% 0.21/0.34 % (718725)Instructions burned: 66 (million)
% 0.21/0.34 % (718715)Success in time 0.103 s
% 0.21/0.34 % Vampire exiting
%------------------------------------------------------------------------------