%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO566+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 : 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 : Fri Sep 25 01:18:10 PM UTC 2026
% Result : Theorem 9.62s 1.74s
% Output : Proof 9.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 4
% Syntax : Number of formulae : 56 ( 40 unt; 0 def)
% Number of atoms : 112 ( 34 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 74 ( 18 ~; 12 |; 39 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-4 aty)
% Number of variables : 74 ( 0 sgn 46 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
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]) ).
fof(f94,conjecture,
! [A,B,C,F,H,T,Q,P] :
( ( coll(P,A,C)
& perp(P,F,A,C)
& coll(Q,A,H)
& perp(Q,F,A,H)
& coll(T,B,C)
& perp(T,F,B,C)
& perp(A,C,B,H)
& perp(B,C,A,H)
& coll(F,A,B)
& perp(F,C,A,B) )
=> coll(P,Q,T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214028) ).
fof(f94_neg,negated_conjecture,
~ ! [A,B,C,F,H,T,Q,P] :
( ( coll(P,A,C)
& perp(P,F,A,C)
& coll(Q,A,H)
& perp(Q,F,A,H)
& coll(T,B,C)
& perp(T,F,B,C)
& perp(A,C,B,H)
& perp(B,C,A,H)
& coll(F,A,B)
& perp(F,C,A,B) )
=> coll(P,Q,T) ),
inference(negated_conjecture,[status(cth)],[f94]) ).
fof(f94_nnf,plain,
? [A,B,C,F,H,T,Q,P] :
( ~ coll(P,Q,T)
& coll(P,A,C)
& perp(P,F,A,C)
& coll(Q,A,H)
& perp(Q,F,A,H)
& coll(T,B,C)
& perp(T,F,B,C)
& perp(A,C,B,H)
& perp(B,C,A,H)
& coll(F,A,B)
& perp(F,C,A,B) ),
inference(nnf_transformation,[status(thm)],[f94_neg]) ).
fof(f94_sk,plain,
( ~ coll(sk27,sk26,sk25)
& coll(sk27,sk20,sk22)
& perp(sk27,sk23,sk20,sk22)
& coll(sk26,sk20,sk24)
& perp(sk26,sk23,sk20,sk24)
& coll(sk25,sk21,sk22)
& perp(sk25,sk23,sk21,sk22)
& perp(sk20,sk22,sk21,sk24)
& perp(sk21,sk22,sk20,sk24)
& coll(sk23,sk20,sk21)
& perp(sk23,sk22,sk20,sk21) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk20,sk21,sk22,sk23,sk24,sk25,sk26,sk27])],[f94_nnf]) ).
cnf(c120,plain,
coll(sk26,sk20,sk24),
inference(cnf_transformation,[status(esa)],[f94_sk]) ).
cnf(hi120,negated_conjecture,
coll(sk26,sk20,sk24) = true,
inference(equality_encoding,[status(esa)],[c120]) ).
cnf(h8,plain,
coll(sk26,sk24,sk20) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi120]) ).
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(h28,plain,
coll(sk20,sk20,sk26) = true,
inference(hyper_resolution,[status(thm)],[hi2,h8,h8]) ).
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]) ).
cnf(c114,plain,
coll(sk23,sk20,sk21),
inference(cnf_transformation,[status(esa)],[f94_sk]) ).
cnf(hi114,negated_conjecture,
coll(sk23,sk20,sk21) = true,
inference(equality_encoding,[status(esa)],[c114]) ).
cnf(h1,plain,
coll(sk20,sk23,sk21) = true,
inference(hyper_resolution,[status(thm)],[hi1,hi114]) ).
cnf(h14,plain,
coll(sk21,sk21,sk20) = true,
inference(hyper_resolution,[status(thm)],[hi2,h1,h1]) ).
cnf(h41,plain,
coll(sk20,sk20,sk21) = true,
inference(hyper_resolution,[status(thm)],[hi2,h14,h14]) ).
cnf(h99,plain,
coll(sk21,sk26,sk20) = true,
inference(hyper_resolution,[status(thm)],[hi2,h41,h28]) ).
cnf(h171,plain,
coll(sk21,sk20,sk26) = true,
inference(hyper_resolution,[status(thm)],[hi0,h99]) ).
cnf(c118,plain,
coll(sk25,sk21,sk22),
inference(cnf_transformation,[status(esa)],[f94_sk]) ).
cnf(hi118,negated_conjecture,
coll(sk25,sk21,sk22) = true,
inference(equality_encoding,[status(esa)],[c118]) ).
cnf(h5,plain,
coll(sk25,sk22,sk21) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi118]) ).
cnf(h22,plain,
coll(sk21,sk21,sk25) = true,
inference(hyper_resolution,[status(thm)],[hi2,h5,h5]) ).
cnf(h56,plain,
coll(sk20,sk25,sk21) = true,
inference(hyper_resolution,[status(thm)],[hi2,h14,h22]) ).
cnf(h116,plain,
coll(sk20,sk21,sk25) = true,
inference(hyper_resolution,[status(thm)],[hi0,h56]) ).
cnf(h194,plain,
coll(sk21,sk20,sk25) = true,
inference(hyper_resolution,[status(thm)],[hi1,h116]) ).
cnf(h317,plain,
coll(sk25,sk26,sk21) = true,
inference(hyper_resolution,[status(thm)],[hi2,h194,h171]) ).
cnf(h451,plain,
coll(sk25,sk21,sk26) = true,
inference(hyper_resolution,[status(thm)],[hi0,h317]) ).
cnf(h4,plain,
coll(sk21,sk25,sk22) = true,
inference(hyper_resolution,[status(thm)],[hi1,hi118]) ).
cnf(h20,plain,
coll(sk22,sk22,sk21) = true,
inference(hyper_resolution,[status(thm)],[hi2,h4,h4]) ).
cnf(c122,plain,
coll(sk27,sk20,sk22),
inference(cnf_transformation,[status(esa)],[f94_sk]) ).
cnf(hi122,negated_conjecture,
coll(sk27,sk20,sk22) = true,
inference(equality_encoding,[status(esa)],[c122]) ).
cnf(h9,plain,
coll(sk22,sk22,sk27) = true,
inference(hyper_resolution,[status(thm)],[hi2,hi122,hi122]) ).
cnf(h51,plain,
coll(sk27,sk21,sk22) = true,
inference(hyper_resolution,[status(thm)],[hi2,h9,h20]) ).
cnf(h114,plain,
coll(sk27,sk22,sk21) = true,
inference(hyper_resolution,[status(thm)],[hi0,h51]) ).
cnf(h3,plain,
coll(sk22,sk22,sk25) = true,
inference(hyper_resolution,[status(thm)],[hi2,hi118,hi118]) ).
cnf(h32,plain,
coll(sk27,sk25,sk22) = true,
inference(hyper_resolution,[status(thm)],[hi2,h9,h3]) ).
cnf(h75,plain,
coll(sk27,sk22,sk25) = true,
inference(hyper_resolution,[status(thm)],[hi0,h32]) ).
cnf(h176,plain,
coll(sk25,sk21,sk27) = true,
inference(hyper_resolution,[status(thm)],[hi2,h75,h114]) ).
cnf(t129,plain,
coll(sk27,sk26,sk25) = true,
inference(hyper_resolution,[status(thm)],[hi2,h176,h451]) ).
cnf(t566,plain,
coll(sk27,sk26,sk25) = true,
inference(orient,[status(thm)],[t129]) ).
cnf(c123,plain,
~ coll(sk27,sk26,sk25),
inference(cnf_transformation,[status(esa)],[f94_sk]) ).
cnf(goal_0,negated_conjecture,
coll(sk27,sk26,sk25) != true,
inference(equality_encoding,[status(esa)],[c123]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t566]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO566+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 12:24:53 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 9.62/1.74 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.62/1.74 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------