%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO628+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n016.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 01:18:20 PM UTC 2026
% Result : Theorem 43.21s 10.99s
% Output : Proof 43.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 12
% Syntax : Number of formulae : 127 ( 79 unt; 0 def)
% Number of atoms : 239 ( 72 equ)
% Maximal formula atoms : 14 ( 1 avg)
% Number of connectives : 163 ( 51 ~; 45 |; 54 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 15 ( 15 usr; 14 con; 0-4 aty)
% Number of variables : 271 ( 0 sgn 164 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(C,D,A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD8) ).
fof(f7_nnf,plain,
! [A,B,C,D] :
( perp(C,D,A,B)
| ~ perp(A,B,C,D) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [A,B,C,D] :
( perp(C,D,A,B)
| ~ perp(A,B,C,D) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(hi7,axiom,
ifeq(perp(X0,X1,X2,X3),true,perp(X2,X3,X0,X1),true) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
fof(f94,conjecture,
! [A,B,C,O,P1,F,G,P,G1,F1,K,NWPNT1,NWPNT2] :
( ( perp(G1,F1,P1,K)
& perp(F,G,P,K)
& coll(F1,A,C)
& perp(F1,P,A,C)
& coll(G1,A,B)
& perp(G1,P,A,B)
& circle(O,A,P,NWPNT2)
& coll(G,A,B)
& perp(G,P1,A,B)
& coll(F,A,C)
& perp(F,P1,A,C)
& circle(O,A,P1,NWPNT1)
& circle(O,A,B,C) )
=> cyclic(A,P1,P,K) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110991) ).
fof(f94_neg,negated_conjecture,
~ ! [A,B,C,O,P1,F,G,P,G1,F1,K,NWPNT1,NWPNT2] :
( ( perp(G1,F1,P1,K)
& perp(F,G,P,K)
& coll(F1,A,C)
& perp(F1,P,A,C)
& coll(G1,A,B)
& perp(G1,P,A,B)
& circle(O,A,P,NWPNT2)
& coll(G,A,B)
& perp(G,P1,A,B)
& coll(F,A,C)
& perp(F,P1,A,C)
& circle(O,A,P1,NWPNT1)
& circle(O,A,B,C) )
=> cyclic(A,P1,P,K) ),
inference(negated_conjecture,[status(cth)],[f94]) ).
fof(f94_nnf,plain,
? [A,B,C,O,P1,F,G,P,G1,F1,K,NWPNT1,NWPNT2] :
( ~ cyclic(A,P1,P,K)
& perp(G1,F1,P1,K)
& perp(F,G,P,K)
& coll(F1,A,C)
& perp(F1,P,A,C)
& coll(G1,A,B)
& perp(G1,P,A,B)
& circle(O,A,P,NWPNT2)
& coll(G,A,B)
& perp(G,P1,A,B)
& coll(F,A,C)
& perp(F,P1,A,C)
& circle(O,A,P1,NWPNT1)
& circle(O,A,B,C) ),
inference(nnf_transformation,[status(thm)],[f94_neg]) ).
fof(f94_sk,plain,
( ~ cyclic(sk20,sk24,sk27,sk30)
& perp(sk28,sk29,sk24,sk30)
& perp(sk25,sk26,sk27,sk30)
& coll(sk29,sk20,sk22)
& perp(sk29,sk27,sk20,sk22)
& coll(sk28,sk20,sk21)
& perp(sk28,sk27,sk20,sk21)
& circle(sk23,sk20,sk27,sk32)
& coll(sk26,sk20,sk21)
& perp(sk26,sk24,sk20,sk21)
& coll(sk25,sk20,sk22)
& perp(sk25,sk24,sk20,sk22)
& circle(sk23,sk20,sk24,sk31)
& circle(sk23,sk20,sk21,sk22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk20,sk21,sk22,sk23,sk24,sk25,sk26,sk27,sk28,sk29,sk30,sk31,sk32])],[f94_nnf]) ).
cnf(c120,plain,
perp(sk28,sk27,sk20,sk21),
inference(cnf_transformation,[status(esa)],[f94_sk]) ).
cnf(hi120,negated_conjecture,
perp(sk28,sk27,sk20,sk21) = true,
inference(equality_encoding,[status(esa)],[c120]) ).
cnf(h343,plain,
perp(sk20,sk21,sk28,sk27) = true,
inference(hyper_resolution,[status(thm)],[hi7,hi120]) ).
fof(f8,axiom,
! [A,B,C,D,E,F] :
( ( perp(C,D,E,F)
& perp(A,B,C,D) )
=> para(A,B,E,F) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD9) ).
fof(f8_nnf,plain,
! [A,B,C,D,E,F] :
( para(A,B,E,F)
| ~ perp(C,D,E,F)
| ~ perp(A,B,C,D) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [A,B,C,D,E,F] :
( para(A,B,E,F)
| ~ perp(C,D,E,F)
| ~ perp(A,B,C,D) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(hi8,axiom,
ifeq(perp(X0,X1,X2,X3),true,ifeq(perp(X2,X3,X4,X5),true,para(X0,X1,X4,X5),true),true) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(h363,plain,
para(sk28,sk27,sk28,sk27) = true,
inference(hyper_resolution,[status(thm)],[hi8,hi120,h343]) ).
fof(f66,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD66) ).
fof(f66_nnf,plain,
! [A,B,C] :
( coll(A,B,C)
| ~ para(A,B,A,C) ),
inference(nnf_transformation,[status(thm)],[f66]) ).
fof(f66_sk,plain,
! [A,B,C] :
( coll(A,B,C)
| ~ para(A,B,A,C) ),
inference(skolemisation,[status(esa)],[f66_nnf]) ).
cnf(c66,plain,
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f66_sk]) ).
cnf(hi66,axiom,
ifeq(para(X0,X1,X0,X2),true,coll(X0,X1,X2),true) = true,
inference(equality_encoding,[status(esa)],[c66]) ).
cnf(h562,plain,
coll(sk28,sk27,sk27) = true,
inference(hyper_resolution,[status(thm)],[hi66,h363]) ).
fof(f2,axiom,
! [A,B,C,D] :
( ( coll(A,B,D)
& coll(A,B,C) )
=> coll(C,D,A) ),
file('/export/starexec/sandbox/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(h564,plain,
coll(sk27,sk27,sk28) = true,
inference(hyper_resolution,[status(thm)],[hi2,h562,h562]) ).
cnf(h566,plain,
coll(sk28,sk28,sk27) = true,
inference(hyper_resolution,[status(thm)],[hi2,h564,h564]) ).
fof(f0,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ),
file('/export/starexec/sandbox/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(c121,plain,
coll(sk28,sk20,sk21),
inference(cnf_transformation,[status(esa)],[f94_sk]) ).
cnf(hi121,negated_conjecture,
coll(sk28,sk20,sk21) = true,
inference(equality_encoding,[status(esa)],[c121]) ).
cnf(h8,plain,
coll(sk28,sk21,sk20) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi121]) ).
cnf(h29,plain,
coll(sk20,sk20,sk28) = true,
inference(hyper_resolution,[status(thm)],[hi2,h8,h8]) ).
cnf(c116,plain,
coll(sk25,sk20,sk22),
inference(cnf_transformation,[status(esa)],[f94_sk]) ).
cnf(hi116,negated_conjecture,
coll(sk25,sk20,sk22) = true,
inference(equality_encoding,[status(esa)],[c116]) ).
cnf(h2,plain,
coll(sk25,sk22,sk20) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi116]) ).
cnf(h16,plain,
coll(sk20,sk20,sk25) = true,
inference(hyper_resolution,[status(thm)],[hi2,h2,h2]) ).
cnf(h66,plain,
coll(sk25,sk28,sk20) = true,
inference(hyper_resolution,[status(thm)],[hi2,h16,h29]) ).
cnf(h125,plain,
coll(sk25,sk20,sk28) = true,
inference(hyper_resolution,[status(thm)],[hi0,h66]) ).
cnf(h173,plain,
coll(sk28,sk28,sk25) = true,
inference(hyper_resolution,[status(thm)],[hi2,h125,h125]) ).
cnf(h571,plain,
coll(sk25,sk27,sk28) = true,
inference(hyper_resolution,[status(thm)],[hi2,h173,h566]) ).
cnf(h587,plain,
coll(sk25,sk28,sk27) = true,
inference(hyper_resolution,[status(thm)],[hi0,h571]) ).
cnf(h649,plain,
coll(sk27,sk27,sk25) = true,
inference(hyper_resolution,[status(thm)],[hi2,h587,h587]) ).
cnf(c124,plain,
perp(sk25,sk26,sk27,sk30),
inference(cnf_transformation,[status(esa)],[f94_sk]) ).
cnf(hi124,negated_conjecture,
perp(sk25,sk26,sk27,sk30) = true,
inference(equality_encoding,[status(esa)],[c124]) ).
cnf(h347,plain,
perp(sk27,sk30,sk25,sk26) = true,
inference(hyper_resolution,[status(thm)],[hi7,hi124]) ).
cnf(h372,plain,
para(sk27,sk30,sk27,sk30) = true,
inference(hyper_resolution,[status(thm)],[hi8,h347,hi124]) ).
cnf(h788,plain,
coll(sk27,sk30,sk30) = true,
inference(hyper_resolution,[status(thm)],[hi66,h372]) ).
cnf(h789,plain,
coll(sk30,sk30,sk27) = true,
inference(hyper_resolution,[status(thm)],[hi2,h788,h788]) ).
cnf(h791,plain,
coll(sk27,sk27,sk30) = true,
inference(hyper_resolution,[status(thm)],[hi2,h789,h789]) ).
cnf(h805,plain,
coll(sk30,sk25,sk27) = true,
inference(hyper_resolution,[status(thm)],[hi2,h791,h649]) ).
cnf(h822,plain,
coll(sk30,sk27,sk25) = true,
inference(hyper_resolution,[status(thm)],[hi0,h805]) ).
cnf(h994,plain,
coll(sk25,sk25,sk30) = true,
inference(hyper_resolution,[status(thm)],[hi2,h822,h822]) ).
cnf(c115,plain,
perp(sk25,sk24,sk20,sk22),
inference(cnf_transformation,[status(esa)],[f94_sk]) ).
cnf(hi115,negated_conjecture,
perp(sk25,sk24,sk20,sk22) = true,
inference(equality_encoding,[status(esa)],[c115]) ).
cnf(h339,plain,
perp(sk20,sk22,sk25,sk24) = true,
inference(hyper_resolution,[status(thm)],[hi7,hi115]) ).
cnf(h352,plain,
para(sk25,sk24,sk25,sk24) = true,
inference(hyper_resolution,[status(thm)],[hi8,hi115,h339]) ).
fof(f39,axiom,
! [A,B,C,D,P,Q] :
( para(A,B,C,D)
=> eqangle(A,B,P,Q,C,D,P,Q) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD40) ).
fof(f39_nnf,plain,
! [A,B,C,D,P,Q] :
( eqangle(A,B,P,Q,C,D,P,Q)
| ~ para(A,B,C,D) ),
inference(nnf_transformation,[status(thm)],[f39]) ).
fof(f39_sk,plain,
! [A,B,C,D,P,Q] :
( eqangle(A,B,P,Q,C,D,P,Q)
| ~ para(A,B,C,D) ),
inference(skolemisation,[status(esa)],[f39_nnf]) ).
cnf(c39,plain,
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f39_sk]) ).
cnf(hi39,axiom,
ifeq(para(X0,X1,X2,X3),true,eqangle(X0,X1,X4,X5,X2,X3,X4,X5),true) = true,
inference(equality_encoding,[status(esa)],[c39]) ).
cnf(h1518,plain,
eqangle(sk25,sk24,V0,V1,sk25,sk24,V0,V1) = true,
inference(hyper_resolution,[status(thm)],[hi39,h352]) ).
fof(f42,axiom,
! [A,B,P,Q] :
( ( coll(P,Q,B)
& eqangle(P,A,P,B,Q,A,Q,B) )
=> cyclic(A,B,P,Q) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD42b) ).
fof(f42_nnf,plain,
! [A,B,P,Q] :
( cyclic(A,B,P,Q)
| ~ coll(P,Q,B)
| ~ eqangle(P,A,P,B,Q,A,Q,B) ),
inference(nnf_transformation,[status(thm)],[f42]) ).
fof(f42_sk,plain,
! [P,A,B,Q] :
( cyclic(A,B,P,Q)
| ~ coll(P,Q,B)
| ~ eqangle(P,A,P,B,Q,A,Q,B) ),
inference(skolemisation,[status(esa)],[f42_nnf]) ).
cnf(c42,plain,
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[status(esa)],[f42_sk]) ).
cnf(hi42,axiom,
ifeq(eqangle(X0,X1,X0,X2,X3,X1,X3,X2),true,ifeq(coll(X0,X3,X2),true,cyclic(X1,X2,X0,X3),true),true) = true,
inference(equality_encoding,[status(esa)],[c42]) ).
cnf(h12981,plain,
cyclic(sk24,sk30,sk25,sk25) = true,
inference(hyper_resolution,[status(thm)],[hi42,h1518,h994]) ).
fof(f14,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,C,B,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD15) ).
fof(f14_nnf,plain,
! [A,B,C,D] :
( cyclic(A,C,B,D)
| ~ cyclic(A,B,C,D) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [A,B,C,D] :
( cyclic(A,C,B,D)
| ~ cyclic(A,B,C,D) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(hi14,axiom,
ifeq(cyclic(X0,X1,X2,X3),true,cyclic(X0,X2,X1,X3),true) = true,
inference(equality_encoding,[status(esa)],[c14]) ).
cnf(h12996,plain,
cyclic(sk24,sk25,sk30,sk25) = true,
inference(hyper_resolution,[status(thm)],[hi14,h12981]) ).
fof(f13,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,B,D,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD14) ).
fof(f13_nnf,plain,
! [A,B,C,D] :
( cyclic(A,B,D,C)
| ~ cyclic(A,B,C,D) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [A,B,C,D] :
( cyclic(A,B,D,C)
| ~ cyclic(A,B,C,D) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(hi13,axiom,
ifeq(cyclic(X0,X1,X2,X3),true,cyclic(X0,X1,X3,X2),true) = true,
inference(equality_encoding,[status(esa)],[c13]) ).
cnf(h13026,plain,
cyclic(sk24,sk25,sk25,sk30) = true,
inference(hyper_resolution,[status(thm)],[hi13,h12996]) ).
fof(f1,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ),
file('/export/starexec/sandbox/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(h1,plain,
coll(sk20,sk25,sk22) = true,
inference(hyper_resolution,[status(thm)],[hi1,hi116]) ).
cnf(h15,plain,
coll(sk20,sk22,sk25) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1]) ).
cnf(h43,plain,
coll(sk25,sk25,sk20) = true,
inference(hyper_resolution,[status(thm)],[hi2,h15,h15]) ).
cnf(h12989,plain,
cyclic(sk24,sk20,sk25,sk25) = true,
inference(hyper_resolution,[status(thm)],[hi42,h1518,h43]) ).
cnf(h13017,plain,
cyclic(sk24,sk25,sk20,sk25) = true,
inference(hyper_resolution,[status(thm)],[hi14,h12989]) ).
cnf(h13066,plain,
cyclic(sk24,sk25,sk25,sk20) = true,
inference(hyper_resolution,[status(thm)],[hi13,h13017]) ).
fof(f16,axiom,
! [A,B,C,D,E] :
( ( cyclic(A,B,C,E)
& cyclic(A,B,C,D) )
=> cyclic(B,C,D,E) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD17) ).
fof(f16_nnf,plain,
! [A,B,C,D,E] :
( cyclic(B,C,D,E)
| ~ cyclic(A,B,C,E)
| ~ cyclic(A,B,C,D) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [A,B,C,D,E] :
( cyclic(B,C,D,E)
| ~ cyclic(A,B,C,E)
| ~ cyclic(A,B,C,D) ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(hi16,axiom,
ifeq(cyclic(X0,X1,X2,X3),true,ifeq(cyclic(X0,X1,X2,X4),true,cyclic(X1,X2,X3,X4),true),true) = true,
inference(equality_encoding,[status(esa)],[c16]) ).
cnf(h13207,plain,
cyclic(sk25,sk25,sk20,sk30) = true,
inference(hyper_resolution,[status(thm)],[hi16,h13066,h13026]) ).
cnf(h382,plain,
coll(sk25,sk24,sk24) = true,
inference(hyper_resolution,[status(thm)],[hi66,h352]) ).
cnf(h384,plain,
coll(sk24,sk24,sk25) = true,
inference(hyper_resolution,[status(thm)],[hi2,h382,h382]) ).
cnf(h386,plain,
coll(sk25,sk25,sk24) = true,
inference(hyper_resolution,[status(thm)],[hi2,h384,h384]) ).
cnf(h12983,plain,
cyclic(sk24,sk24,sk25,sk25) = true,
inference(hyper_resolution,[status(thm)],[hi42,h1518,h386]) ).
cnf(h13000,plain,
cyclic(sk24,sk25,sk24,sk25) = true,
inference(hyper_resolution,[status(thm)],[hi14,h12983]) ).
cnf(h13035,plain,
cyclic(sk24,sk25,sk25,sk24) = true,
inference(hyper_resolution,[status(thm)],[hi13,h13000]) ).
cnf(h13205,plain,
cyclic(sk25,sk25,sk20,sk24) = true,
inference(hyper_resolution,[status(thm)],[hi16,h13066,h13035]) ).
cnf(h18963,plain,
cyclic(sk25,sk20,sk24,sk30) = true,
inference(hyper_resolution,[status(thm)],[hi16,h13205,h13207]) ).
cnf(h579,plain,
coll(sk27,sk25,sk28) = true,
inference(hyper_resolution,[status(thm)],[hi2,h566,h173]) ).
cnf(h594,plain,
coll(sk27,sk28,sk25) = true,
inference(hyper_resolution,[status(thm)],[hi0,h579]) ).
cnf(h732,plain,
coll(sk25,sk25,sk27) = true,
inference(hyper_resolution,[status(thm)],[hi2,h594,h594]) ).
cnf(h12982,plain,
cyclic(sk24,sk27,sk25,sk25) = true,
inference(hyper_resolution,[status(thm)],[hi42,h1518,h732]) ).
cnf(h12999,plain,
cyclic(sk24,sk25,sk27,sk25) = true,
inference(hyper_resolution,[status(thm)],[hi14,h12982]) ).
cnf(h13032,plain,
cyclic(sk24,sk25,sk25,sk27) = true,
inference(hyper_resolution,[status(thm)],[hi13,h12999]) ).
cnf(h13206,plain,
cyclic(sk25,sk25,sk20,sk27) = true,
inference(hyper_resolution,[status(thm)],[hi16,h13066,h13032]) ).
cnf(h18946,plain,
cyclic(sk25,sk20,sk24,sk27) = true,
inference(hyper_resolution,[status(thm)],[hi16,h13205,h13206]) ).
cnf(t31,plain,
cyclic(sk20,sk24,sk27,sk30) = true,
inference(hyper_resolution,[status(thm)],[hi16,h18946,h18963]) ).
cnf(t3269,plain,
cyclic(sk20,sk24,sk27,sk30) = true,
inference(orient,[status(thm)],[t31]) ).
cnf(c126,plain,
~ cyclic(sk20,sk24,sk27,sk30),
inference(cnf_transformation,[status(esa)],[f94_sk]) ).
cnf(goal_0,negated_conjecture,
cyclic(sk20,sk24,sk27,sk30) != true,
inference(equality_encoding,[status(esa)],[c126]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t3269]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO628+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Wed Sep 23 12:40:47 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 43.21/10.99 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.21/10.99 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------