%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO654+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 09:54:58 AM UTC 2026
% Result : Theorem 1.69s 0.71s
% Output : Refutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 19
% Syntax : Number of formulae : 100 ( 27 unt; 0 def)
% Number of atoms : 240 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 219 ( 79 ~; 75 |; 45 &)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 412 ( 378 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X0,X1,X2,X3)
& perp(X2,X3,X4,X5) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& coll(X2,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X5)
& eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X2,X1,X2)
& cong(X0,X3,X1,X3) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( ( circle(X0,X1,X8,X9)
& circle(X2,X1,X10,X11)
& circle(X0,X1,X3,X12)
& circle(X2,X1,X3,X13)
& circle(X2,X1,X4,X14)
& coll(X3,X4,X5)
& circle(X0,X3,X5,X15)
& coll(X1,X4,X6)
& circle(X0,X1,X6,X16)
& perp(X2,X4,X4,X7) )
=> para(X7,X4,X6,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0228) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( ( circle(X0,X1,X8,X9)
& circle(X2,X1,X10,X11)
& circle(X0,X1,X3,X12)
& circle(X2,X1,X3,X13)
& circle(X2,X1,X4,X14)
& coll(X3,X4,X5)
& circle(X0,X3,X5,X15)
& coll(X1,X4,X6)
& circle(X0,X1,X6,X16)
& perp(X2,X4,X4,X7) )
=> para(X7,X4,X6,X5) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f117,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f14]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f119,plain,
! [X0,X1,X2,X3] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(flattening,[],[f120]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f19]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f39]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f40]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(flattening,[],[f153]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(flattening,[],[f155]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(flattening,[],[f180]) ).
fof(f197,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( ~ para(X7,X4,X6,X5)
& circle(X0,X1,X8,X9)
& circle(X2,X1,X10,X11)
& circle(X0,X1,X3,X12)
& circle(X2,X1,X3,X13)
& circle(X2,X1,X4,X14)
& coll(X3,X4,X5)
& circle(X0,X3,X5,X15)
& coll(X1,X4,X6)
& circle(X0,X1,X6,X16)
& perp(X2,X4,X4,X7) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( ~ para(X7,X4,X6,X5)
& circle(X0,X1,X8,X9)
& circle(X2,X1,X10,X11)
& circle(X0,X1,X3,X12)
& circle(X2,X1,X3,X13)
& circle(X2,X1,X4,X14)
& coll(X3,X4,X5)
& circle(X0,X3,X5,X15)
& coll(X1,X4,X6)
& circle(X0,X1,X6,X16)
& perp(X2,X4,X4,X7) ),
inference(flattening,[],[f249]) ).
fof(f251,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f252,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f254,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f255,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f257,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f258,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f259,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f109]) ).
fof(f264,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f117]) ).
fof(f265,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f118]) ).
fof(f266,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f119]) ).
fof(f267,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f121]) ).
fof(f269,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f123]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f290,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f149]) ).
fof(f293,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f154]) ).
fof(f294,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(f307,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f317,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f364,plain,
perp(sK22,sK24,sK24,sK27),
inference(cnf_transformation,[],[f250]) ).
fof(f374,plain,
~ para(sK27,sK24,sK26,sK25),
inference(cnf_transformation,[],[f250]) ).
fof(f400,plain,
perp(sK24,sK27,sK22,sK24),
inference(resolution,[],[f258,f364]) ).
fof(f404,plain,
perp(sK24,sK27,sK24,sK22),
inference(resolution,[],[f400,f257]) ).
fof(f1574,plain,
! [X0,X1] :
( ~ perp(sK24,sK27,X0,X1)
| para(sK22,sK24,X0,X1) ),
inference(resolution,[],[f259,f364]) ).
fof(f1810,plain,
para(sK22,sK24,sK22,sK24),
inference(resolution,[],[f1574,f400]) ).
fof(f1811,plain,
para(sK22,sK24,sK24,sK22),
inference(resolution,[],[f1574,f404]) ).
fof(f1820,plain,
! [X0,X1] : eqangle(sK22,sK24,X0,X1,sK22,sK24,X0,X1),
inference(resolution,[],[f1810,f290]) ).
fof(f2428,plain,
para(sK24,sK22,sK22,sK24),
inference(resolution,[],[f1811,f255]) ).
fof(f2434,plain,
para(sK24,sK22,sK24,sK22),
inference(resolution,[],[f2428,f254]) ).
fof(f2435,plain,
coll(sK24,sK22,sK22),
inference(resolution,[],[f2434,f317]) ).
fof(f2442,plain,
coll(sK22,sK24,sK22),
inference(resolution,[],[f2435,f252]) ).
fof(f2446,plain,
coll(sK22,sK22,sK24),
inference(resolution,[],[f2442,f251]) ).
fof(f3110,plain,
! [X0,X1] : eqangle(X0,X1,sK22,sK24,X0,X1,sK22,sK24),
inference(resolution,[],[f1820,f269]) ).
fof(f3131,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f3110,f289]) ).
fof(f3132,plain,
! [X0] :
( ~ coll(sK22,sK22,sK24)
| cyclic(X0,sK24,sK22,sK22) ),
inference(resolution,[],[f3110,f293]) ).
fof(f3134,plain,
! [X0] : cyclic(X0,sK24,sK22,sK22),
inference(forward_subsumption_resolution,[],[f3132,f2446]) ).
fof(f3138,plain,
! [X2,X3,X0,X1] : eqangle(X0,X1,X2,X3,X0,X1,X2,X3),
inference(resolution,[],[f3131,f290]) ).
fof(f3895,plain,
! [X0] : cyclic(sK24,X0,sK22,sK22),
inference(resolution,[],[f3134,f266]) ).
fof(f3906,plain,
! [X0] : cyclic(sK24,sK22,X0,sK22),
inference(resolution,[],[f3895,f265]) ).
fof(f3917,plain,
! [X0] : cyclic(sK24,sK22,sK22,X0),
inference(resolution,[],[f3906,f264]) ).
fof(f3933,plain,
! [X0,X1] :
( ~ cyclic(sK24,sK22,sK22,X0)
| cyclic(sK22,sK22,X1,X0) ),
inference(resolution,[],[f3917,f267]) ).
fof(f3938,plain,
! [X0,X1] : cyclic(sK22,sK22,X1,X0),
inference(forward_subsumption_resolution,[],[f3933,f3917]) ).
fof(f3953,plain,
! [X2,X0,X1] :
( ~ cyclic(sK22,sK22,X0,X1)
| cyclic(sK22,X0,X2,X1) ),
inference(resolution,[],[f3938,f267]) ).
fof(f3958,plain,
! [X2,X0,X1] : cyclic(sK22,X0,X2,X1),
inference(forward_subsumption_resolution,[],[f3953,f3938]) ).
fof(f3971,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(sK22,X0,X1,X2)
| cyclic(X0,X1,X3,X2) ),
inference(resolution,[],[f3958,f267]) ).
fof(f3976,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X3,X2),
inference(forward_subsumption_resolution,[],[f3971,f3958]) ).
fof(f6503,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| cong(X0,X1,X3,X4) ),
inference(forward_subsumption_resolution,[],[f294,f3976]) ).
fof(f6504,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| cong(X0,X1,X3,X4) ),
inference(forward_subsumption_resolution,[],[f6503,f3976]) ).
fof(f6505,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| cong(X0,X1,X3,X4) ),
inference(forward_subsumption_resolution,[],[f6504,f3976]) ).
fof(f6612,plain,
! [X0,X1] : cong(X0,X1,X0,X1),
inference(resolution,[],[f6505,f3138]) ).
fof(f6624,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X2,X1) ),
inference(resolution,[],[f6612,f307]) ).
fof(f6673,plain,
! [X2,X0,X1] : perp(X0,X0,X2,X1),
inference(forward_subsumption_resolution,[],[f6624,f6612]) ).
fof(f6950,plain,
! [X2,X0,X1] : perp(X0,X1,X2,X2),
inference(resolution,[],[f6673,f258]) ).
fof(f7008,plain,
! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X0,X1,X2)
| para(X3,X4,X1,X2) ),
inference(resolution,[],[f6950,f259]) ).
fof(f7014,plain,
! [X2,X3,X1,X4] : para(X3,X4,X1,X2),
inference(forward_subsumption_resolution,[],[f7008,f6673]) ).
fof(f7069,plain,
$false,
inference(resolution,[],[f7014,f374]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO654+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n001.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 08:50:16 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 1.69/0.71 % (3255165)Will run a generic schedule for satisfiability detection.
% 1.69/0.71 % (3255172)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3154005387:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.69/0.71 % (3255171)% WARNING: option uhcvi not known.
% 1.69/0.71 % (3255170)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3088342499_2999 on theBenchmark for (2999ds/0Mi)
% 1.69/0.71 % (3255171)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1535921181:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.69/0.71 % (3255174)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1843049350:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.69/0.71 % (3255175)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1562663936:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.69/0.71 % (3255173)dis+10_1_sil=32000:sp=arity:random_seed=2646405715:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.69/0.71 % (3255176)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4264221340:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.69/0.71 % TRYING [1]
% 1.69/0.71 % TRYING [2]
% 1.69/0.71 % TRYING [3]
% 1.69/0.71 % (3255173)Instruction limit reached!
% 1.69/0.71 % (3255173)------------------------------
% 1.69/0.71 % (3255173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.71 % (3255173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.71 % (3255173)CaDiCaL version: 2.1.3
% 1.69/0.71 % (3255173)Termination reason: Instruction limit
% 1.69/0.71 % (3255173)Termination phase: Saturation
% 1.69/0.71 % (3255173)Time elapsed: 0.065 s
% 1.69/0.71 % (3255173)Peak memory usage: 13 MB
% 1.69/0.71 % (3255173)Instructions burned: 104 (million)
% 1.69/0.71 % (3255174)Instruction limit reached!
% 1.69/0.71 % (3255174)------------------------------
% 1.69/0.71 % (3255174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.71 % (3255174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.71 % (3255174)CaDiCaL version: 2.1.3
% 1.69/0.71 % (3255174)Termination reason: Instruction limit
% 1.69/0.71 % (3255174)Termination phase: Saturation
% 1.69/0.71 % (3255174)Time elapsed: 0.071 s
% 1.69/0.71 % (3255174)Peak memory usage: 13 MB
% 1.69/0.71 % (3255174)Instructions burned: 120 (million)
% 1.69/0.71 % (3255175)Instruction limit reached!
% 1.69/0.71 % (3255175)------------------------------
% 1.69/0.71 % (3255175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.71 % (3255175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.71 % (3255175)CaDiCaL version: 2.1.3
% 1.69/0.71 % (3255175)Termination reason: Instruction limit
% 1.69/0.71 % (3255175)Termination phase: Saturation
% 1.69/0.71 % (3255175)Time elapsed: 0.081 s
% 1.69/0.71 % (3255175)Peak memory usage: 14 MB
% 1.69/0.71 % (3255175)Instructions burned: 131 (million)
% 1.69/0.71 % (3255184)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2887721509:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.69/0.71 % (3255185)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2382854980:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.69/0.71 % TRYING [1]
% 1.69/0.71 % (3255176)Instruction limit reached!
% 1.69/0.71 % (3255176)------------------------------
% 1.69/0.71 % (3255176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.71 % (3255176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.71 % (3255176)CaDiCaL version: 2.1.3
% 1.69/0.71 % (3255176)Termination reason: Instruction limit
% 1.69/0.71 % (3255176)Termination phase: Saturation
% 1.69/0.71 % (3255176)Time elapsed: 0.095 s
% 1.69/0.71 % (3255176)Peak memory usage: 15 MB
% 1.69/0.71 % (3255176)Instructions burned: 159 (million)
% 1.69/0.71 % TRYING [2]
% 1.69/0.71 % (3255186)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=1431750019:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.69/0.71 % (3255189)ott-21_1_sil=16000:fs=off:random_seed=3742668214:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.69/0.71 % TRYING [3]
% 1.69/0.71 % (3255185)Instruction limit reached!
% 1.69/0.71 % (3255185)------------------------------
% 1.69/0.71 % (3255185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.71 % (3255185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.71 % (3255185)CaDiCaL version: 2.1.3
% 1.69/0.71 % (3255185)Termination reason: Instruction limit
% 1.69/0.71 % (3255185)Termination phase: Saturation
% 1.69/0.71 % (3255185)Time elapsed: 0.084 s
% 1.69/0.71 % (3255185)Peak memory usage: 15 MB
% 1.69/0.71 % (3255185)Instructions burned: 132 (million)
% 1.69/0.71 % (3255194)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1019043189:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.69/0.71 % (3255189)Instruction limit reached!
% 1.69/0.71 % (3255189)------------------------------
% 1.69/0.71 % (3255189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.71 % (3255189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.71 % (3255189)CaDiCaL version: 2.1.3
% 1.69/0.71 % (3255189)Termination reason: Instruction limit
% 1.69/0.71 % (3255189)Termination phase: Saturation
% 1.69/0.71 % (3255189)Time elapsed: 0.095 s
% 1.69/0.71 % (3255189)Peak memory usage: 13 MB
% 1.69/0.71 % (3255189)Instructions burned: 181 (million)
% 1.69/0.71 % (3255201)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3033377905:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.69/0.71 % (3255186) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3255165-3255186"...
% 1.69/0.71 % TRYING [1]
% 1.69/0.71 % TRYING [2]
% 1.69/0.71 % (3255186)...printing done.
% 1.69/0.71 % (3255186)Refutation found. Thanks to Tanya!
% 1.69/0.71 % SZS status Theorem for theBenchmark
% 1.69/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 1.69/0.71 % (3255186)------------------------------
% 1.69/0.71 % (3255186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.71 % (3255186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.71 % (3255186)CaDiCaL version: 2.1.3
% 1.69/0.71 % (3255186)Termination reason: Refutation
% 1.69/0.71 % (3255186)Time elapsed: 0.139 s
% 1.69/0.71 % (3255186)Peak memory usage: 14 MB
% 1.69/0.71 % (3255186)Instructions burned: 235 (million)
% 1.69/0.71 % (3255165)Success in time 0.281 s
% 1.69/0.71 % Vampire exiting
%------------------------------------------------------------------------------