%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO579+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n012.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 : Fri Sep 25 01:18:12 PM UTC 2026
% Result : Theorem 4.51s 0.92s
% Output : Proof 4.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 4
% Syntax : Number of formulae : 47 ( 31 unt; 0 def)
% Number of atoms : 99 ( 26 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 70 ( 18 ~; 12 |; 35 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-4 aty)
% Number of variables : 71 ( 0 sgn 44 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD2) ).
fof(f1_nnf,plain,
! [A,B,C] :
( coll(B,A,C)
| ~ coll(A,B,C) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [A,B,C] :
( coll(B,A,C)
| ~ coll(A,B,C) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(hi1,axiom,
ifeq(coll(X0,X1,X2),true,coll(X1,X0,X2),true) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
fof(f94,conjecture,
! [A,B,C,I,Y,L,X] :
( ( coll(X,A,I)
& perp(X,B,A,I)
& coll(L,B,C)
& perp(L,I,B,C)
& coll(Y,A,C)
& perp(Y,I,A,C)
& eqangle(I,C,C,A,I,C,C,B)
& eqangle(I,B,B,C,I,B,B,A)
& eqangle(I,A,A,B,I,A,A,C) )
=> coll(X,Y,L) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416041) ).
fof(f94_neg,negated_conjecture,
~ ! [A,B,C,I,Y,L,X] :
( ( coll(X,A,I)
& perp(X,B,A,I)
& coll(L,B,C)
& perp(L,I,B,C)
& coll(Y,A,C)
& perp(Y,I,A,C)
& eqangle(I,C,C,A,I,C,C,B)
& eqangle(I,B,B,C,I,B,B,A)
& eqangle(I,A,A,B,I,A,A,C) )
=> coll(X,Y,L) ),
inference(negated_conjecture,[status(cth)],[f94]) ).
fof(f94_nnf,plain,
? [A,B,C,I,Y,L,X] :
( ~ coll(X,Y,L)
& coll(X,A,I)
& perp(X,B,A,I)
& coll(L,B,C)
& perp(L,I,B,C)
& coll(Y,A,C)
& perp(Y,I,A,C)
& eqangle(I,C,C,A,I,C,C,B)
& eqangle(I,B,B,C,I,B,B,A)
& eqangle(I,A,A,B,I,A,A,C) ),
inference(nnf_transformation,[status(thm)],[f94_neg]) ).
fof(f94_sk,plain,
( ~ coll(sk26,sk24,sk25)
& coll(sk26,sk20,sk23)
& perp(sk26,sk21,sk20,sk23)
& coll(sk25,sk21,sk22)
& perp(sk25,sk23,sk21,sk22)
& coll(sk24,sk20,sk22)
& perp(sk24,sk23,sk20,sk22)
& eqangle(sk23,sk22,sk22,sk20,sk23,sk22,sk22,sk21)
& eqangle(sk23,sk21,sk21,sk22,sk23,sk21,sk21,sk20)
& eqangle(sk23,sk20,sk20,sk21,sk23,sk20,sk20,sk22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk20,sk21,sk22,sk23,sk24,sk25,sk26])],[f94_nnf]) ).
cnf(c117,plain,
coll(sk24,sk20,sk22),
inference(cnf_transformation,[status(esa)],[f94_sk]) ).
cnf(hi117,negated_conjecture,
coll(sk24,sk20,sk22) = true,
inference(equality_encoding,[status(esa)],[c117]) ).
cnf(h1,plain,
coll(sk20,sk24,sk22) = true,
inference(hyper_resolution,[status(thm)],[hi1,hi117]) ).
fof(f2,axiom,
! [A,B,C,D] :
( ( coll(A,B,D)
& coll(A,B,C) )
=> coll(C,D,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD3) ).
fof(f2_nnf,plain,
! [A,B,C,D] :
( coll(C,D,A)
| ~ coll(A,B,D)
| ~ coll(A,B,C) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [A,B,C,D] :
( coll(C,D,A)
| ~ coll(A,B,D)
| ~ coll(A,B,C) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(hi2,axiom,
ifeq(coll(X0,X1,X2),true,ifeq(coll(X0,X1,X3),true,coll(X2,X3,X0),true),true) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(h11,plain,
coll(sk22,sk22,sk20) = true,
inference(hyper_resolution,[status(thm)],[hi2,h1,h1]) ).
cnf(c119,plain,
coll(sk25,sk21,sk22),
inference(cnf_transformation,[status(esa)],[f94_sk]) ).
cnf(hi119,negated_conjecture,
coll(sk25,sk21,sk22) = true,
inference(equality_encoding,[status(esa)],[c119]) ).
cnf(h3,plain,
coll(sk22,sk22,sk25) = true,
inference(hyper_resolution,[status(thm)],[hi2,hi119,hi119]) ).
cnf(h33,plain,
coll(sk25,sk20,sk22) = true,
inference(hyper_resolution,[status(thm)],[hi2,h3,h11]) ).
fof(f0,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD1) ).
fof(f0_nnf,plain,
! [A,B,C] :
( coll(A,C,B)
| ~ coll(A,B,C) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [A,B,C] :
( coll(A,C,B)
| ~ coll(A,B,C) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi0,axiom,
ifeq(coll(X0,X1,X2),true,coll(X0,X2,X1),true) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(h72,plain,
coll(sk25,sk22,sk20) = true,
inference(hyper_resolution,[status(thm)],[hi0,h33]) ).
cnf(h0,plain,
coll(sk22,sk22,sk24) = true,
inference(hyper_resolution,[status(thm)],[hi2,hi117,hi117]) ).
cnf(h17,plain,
coll(sk25,sk24,sk22) = true,
inference(hyper_resolution,[status(thm)],[hi2,h3,h0]) ).
cnf(h42,plain,
coll(sk25,sk22,sk24) = true,
inference(hyper_resolution,[status(thm)],[hi0,h17]) ).
cnf(h118,plain,
coll(sk24,sk20,sk25) = true,
inference(hyper_resolution,[status(thm)],[hi2,h42,h72]) ).
cnf(c121,plain,
coll(sk26,sk20,sk23),
inference(cnf_transformation,[status(esa)],[f94_sk]) ).
cnf(hi121,negated_conjecture,
coll(sk26,sk20,sk23) = true,
inference(equality_encoding,[status(esa)],[c121]) ).
cnf(h8,plain,
coll(sk26,sk23,sk20) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi121]) ).
cnf(h27,plain,
coll(sk20,sk20,sk26) = true,
inference(hyper_resolution,[status(thm)],[hi2,h8,h8]) ).
cnf(h2,plain,
coll(sk24,sk22,sk20) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi117]) ).
cnf(h13,plain,
coll(sk20,sk20,sk24) = true,
inference(hyper_resolution,[status(thm)],[hi2,h2,h2]) ).
cnf(h61,plain,
coll(sk24,sk26,sk20) = true,
inference(hyper_resolution,[status(thm)],[hi2,h13,h27]) ).
cnf(h110,plain,
coll(sk24,sk20,sk26) = true,
inference(hyper_resolution,[status(thm)],[hi0,h61]) ).
cnf(h196,plain,
coll(sk26,sk25,sk24) = true,
inference(hyper_resolution,[status(thm)],[hi2,h110,h118]) ).
cnf(t126,plain,
coll(sk26,sk24,sk25) = true,
inference(hyper_resolution,[status(thm)],[hi0,h196]) ).
cnf(t2214,plain,
coll(sk26,sk24,sk25) = true,
inference(orient,[status(thm)],[t126]) ).
cnf(c122,plain,
~ coll(sk26,sk24,sk25),
inference(cnf_transformation,[status(esa)],[f94_sk]) ).
cnf(goal_0,negated_conjecture,
coll(sk26,sk24,sk25) != true,
inference(equality_encoding,[status(esa)],[c122]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t2214]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO579+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.02 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.04/0.29 % Computer : n012.cluster.edu
% 0.04/0.29 % Model : x86_64 x86_64
% 0.04/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.29 % Memory : 8046.5625MB
% 0.04/0.29 % OS : Linux 6.8.0-71-generic
% 0.04/0.29 % CPULimit : 300
% 0.04/0.29 % WCLimit : 300
% 0.04/0.29 % DateTime : Wed Sep 23 12:27:21 UTC 2026
% 0.04/0.29 % CPUTime :
% 0.04/0.29 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.51/0.92 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.51/0.92 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------