%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO551+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 : n007.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 01:18:08 PM UTC 2026
% Result : Theorem 117.12s 21.81s
% Output : Proof 117.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 72
% Number of leaves : 19
% Syntax : Number of formulae : 234 ( 162 unt; 0 def)
% Number of atoms : 366 ( 158 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 222 ( 90 ~; 84 |; 29 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-4 aty)
% Number of variables : 649 ( 78 sgn 251 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [A,B,C,D,O] :
( ( cong(O,A,O,D)
& cong(O,A,O,C)
& cong(O,A,O,B) )
=> cyclic(A,B,C,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD13) ).
fof(f12_nnf,plain,
! [A,B,C,D,O] :
( cyclic(A,B,C,D)
| ~ cong(O,A,O,D)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,B) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [O,A,B,C,D] :
( cyclic(A,B,C,D)
| ~ cong(O,A,O,D)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,B) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
( cyclic(X0,X1,X2,X3)
| ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(t228,plain,
ifeq(cong(X1,X2,X1,X3),true,ifeq(cong(X1,X2,X1,X4),true,ifeq(cong(X1,X2,X1,X5),true,cyclic(X2,X3,X4,X5),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c12]) ).
cnf(t273,plain,
ifeq(cong(X1,X2,X1,X3),true,ifeq(cong(X1,X2,X1,X4),true,ifeq(cong(X1,X2,X1,X5),true,cyclic(X2,X3,X4,X5),true),true),true) = true,
inference(orient,[status(thm)],[t228]) ).
fof(f68,axiom,
! [A,B,C] :
( midp(A,B,C)
=> cong(A,B,A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD68) ).
fof(f68_nnf,plain,
! [A,B,C] :
( cong(A,B,A,C)
| ~ midp(A,B,C) ),
inference(nnf_transformation,[status(thm)],[f68]) ).
fof(f68_sk,plain,
! [A,B,C] :
( cong(A,B,A,C)
| ~ midp(A,B,C) ),
inference(skolemisation,[status(esa)],[f68_nnf]) ).
cnf(c68,plain,
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f68_sk]) ).
cnf(t82,plain,
ifeq(midp(X1,X2,X3),true,cong(X1,X2,X1,X3),true) = true,
inference(equality_encoding,[status(esa)],[c68]) ).
cnf(t336,plain,
ifeq(midp(X1,X2,X3),true,cong(X1,X2,X1,X3),true) = true,
inference(orient,[status(thm)],[t82]) ).
fof(f64,axiom,
! [A,B,C,D,M] :
( ( para(A,D,B,C)
& para(A,C,B,D)
& midp(M,A,B) )
=> midp(M,C,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD64) ).
fof(f64_nnf,plain,
! [A,B,C,D,M] :
( midp(M,C,D)
| ~ para(A,D,B,C)
| ~ para(A,C,B,D)
| ~ midp(M,A,B) ),
inference(nnf_transformation,[status(thm)],[f64]) ).
fof(f64_sk,plain,
! [M,A,B,C,D] :
( midp(M,C,D)
| ~ para(A,D,B,C)
| ~ para(A,C,B,D)
| ~ midp(M,A,B) ),
inference(skolemisation,[status(esa)],[f64_nnf]) ).
cnf(c64,plain,
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f64_sk]) ).
cnf(t212,plain,
ifeq(midp(X1,X2,X3),true,ifeq(para(X2,X4,X3,X5),true,ifeq(para(X2,X5,X3,X4),true,midp(X1,X4,X5),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c64]) ).
cnf(t333,plain,
ifeq(midp(X1,X2,X3),true,ifeq(para(X2,X4,X3,X5),true,ifeq(para(X2,X5,X3,X4),true,midp(X1,X4,X5),true),true),true) = true,
inference(orient,[status(thm)],[t212]) ).
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(t167,plain,
ifeq(perp(X1,X2,X3,X4),true,ifeq(perp(X3,X4,X5,X6),true,para(X1,X2,X5,X6),true),true) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(t285,plain,
ifeq(perp(X1,X2,X3,X4),true,ifeq(perp(X3,X4,X5,X6),true,para(X1,X2,X5,X6),true),true) = true,
inference(orient,[status(thm)],[t167]) ).
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(t92,plain,
ifeq(perp(X1,X2,X3,X4),true,perp(X3,X4,X1,X2),true) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(t292,plain,
ifeq(perp(X1,X2,X3,X4),true,perp(X3,X4,X1,X2),true) = true,
inference(orient,[status(thm)],[t92]) ).
fof(f56,axiom,
! [A,B,P,Q] :
( ( cong(A,Q,B,Q)
& cong(A,P,B,P) )
=> perp(A,B,P,Q) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD56) ).
fof(f56_nnf,plain,
! [A,B,P,Q] :
( perp(A,B,P,Q)
| ~ cong(A,Q,B,Q)
| ~ cong(A,P,B,P) ),
inference(nnf_transformation,[status(thm)],[f56]) ).
fof(f56_sk,plain,
! [A,P,B,Q] :
( perp(A,B,P,Q)
| ~ cong(A,Q,B,Q)
| ~ cong(A,P,B,P) ),
inference(skolemisation,[status(esa)],[f56_nnf]) ).
cnf(c56,plain,
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f56_sk]) ).
cnf(t154,plain,
ifeq(cong(X1,X2,X3,X2),true,ifeq(cong(X1,X4,X3,X4),true,perp(X1,X3,X2,X4),true),true) = true,
inference(equality_encoding,[status(esa)],[c56]) ).
cnf(t271,plain,
ifeq(cong(X1,X2,X3,X2),true,ifeq(cong(X1,X4,X3,X4),true,perp(X1,X3,X2,X4),true),true) = true,
inference(orient,[status(thm)],[t154]) ).
fof(f38,axiom,
! [A,B,C,D,P,Q] :
( eqangle(A,B,P,Q,C,D,P,Q)
=> para(A,B,C,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD39) ).
fof(f38_nnf,plain,
! [A,B,C,D,P,Q] :
( para(A,B,C,D)
| ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(nnf_transformation,[status(thm)],[f38]) ).
fof(f38_sk,plain,
! [A,B,P,Q,C,D] :
( para(A,B,C,D)
| ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(skolemisation,[status(esa)],[f38_nnf]) ).
cnf(c38,plain,
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[status(esa)],[f38_sk]) ).
cnf(t129,plain,
ifeq(eqangle(X1,X2,X3,X4,X5,X6,X3,X4),true,para(X1,X2,X5,X6),true) = true,
inference(equality_encoding,[status(esa)],[c38]) ).
cnf(t314,plain,
ifeq(eqangle(X1,X2,X3,X4,X5,X6,X3,X4),true,para(X1,X2,X5,X6),true) = true,
inference(orient,[status(thm)],[t129]) ).
fof(f18,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(C,D,A,B,U,V,P,Q) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD19) ).
fof(f18_nnf,plain,
! [A,B,C,D,P,Q,U,V] :
( eqangle(C,D,A,B,U,V,P,Q)
| ~ eqangle(A,B,C,D,P,Q,U,V) ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
! [A,B,C,D,P,Q,U,V] :
( eqangle(C,D,A,B,U,V,P,Q)
| ~ eqangle(A,B,C,D,P,Q,U,V) ),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c18,plain,
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(t159,plain,
ifeq(eqangle(X1,X2,X3,X4,X5,X6,X7,X8),true,eqangle(X3,X4,X1,X2,X7,X8,X5,X6),true) = true,
inference(equality_encoding,[status(esa)],[c18]) ).
cnf(t308,plain,
ifeq(eqangle(X1,X2,X3,X4,X5,X6,X7,X8),true,eqangle(X3,X4,X1,X2,X7,X8,X5,X6),true) = true,
inference(orient,[status(thm)],[t159]) ).
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(t130,plain,
ifeq(para(X1,X2,X3,X4),true,eqangle(X1,X2,X5,X6,X3,X4,X5,X6),true) = true,
inference(equality_encoding,[status(esa)],[c39]) ).
cnf(t346,plain,
ifeq(para(X1,X2,X3,X4),true,eqangle(X1,X2,X5,X6,X3,X4,X5,X6),true) = true,
inference(orient,[status(thm)],[t130]) ).
fof(f40,axiom,
! [A,B,P,Q] :
( cyclic(A,B,P,Q)
=> eqangle(P,A,P,B,Q,A,Q,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD41) ).
fof(f40_nnf,plain,
! [A,B,P,Q] :
( eqangle(P,A,P,B,Q,A,Q,B)
| ~ cyclic(A,B,P,Q) ),
inference(nnf_transformation,[status(thm)],[f40]) ).
fof(f40_sk,plain,
! [A,B,P,Q] :
( eqangle(P,A,P,B,Q,A,Q,B)
| ~ cyclic(A,B,P,Q) ),
inference(skolemisation,[status(esa)],[f40_nnf]) ).
cnf(c40,plain,
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f40_sk]) ).
cnf(t128,plain,
ifeq(cyclic(X1,X2,X3,X4),true,eqangle(X3,X1,X3,X2,X4,X1,X4,X2),true) = true,
inference(equality_encoding,[status(esa)],[c40]) ).
cnf(t359,plain,
ifeq(cyclic(X1,X2,X3,X4),true,eqangle(X3,X1,X3,X2,X4,X1,X4,X2),true) = true,
inference(orient,[status(thm)],[t128]) ).
cnf(hi68,axiom,
ifeq(midp(X0,X1,X2),true,cong(X0,X1,X0,X2),true) = true,
inference(equality_encoding,[status(esa)],[c68]) ).
fof(f94,conjecture,
! [A,B,C,D,L,M,N] :
( ( midp(N,A,C)
& midp(M,C,B)
& midp(L,A,B)
& coll(D,B,C)
& perp(D,A,B,C) )
=> cyclic(L,D,M,N) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012011) ).
fof(f94_neg,negated_conjecture,
~ ! [A,B,C,D,L,M,N] :
( ( midp(N,A,C)
& midp(M,C,B)
& midp(L,A,B)
& coll(D,B,C)
& perp(D,A,B,C) )
=> cyclic(L,D,M,N) ),
inference(negated_conjecture,[status(cth)],[f94]) ).
fof(f94_nnf,plain,
? [A,B,C,D,L,M,N] :
( ~ cyclic(L,D,M,N)
& midp(N,A,C)
& midp(M,C,B)
& midp(L,A,B)
& coll(D,B,C)
& perp(D,A,B,C) ),
inference(nnf_transformation,[status(thm)],[f94_neg]) ).
fof(f94_sk,plain,
( ~ cyclic(sk24,sk23,sk25,sk26)
& midp(sk26,sk20,sk22)
& midp(sk25,sk22,sk21)
& midp(sk24,sk20,sk21)
& coll(sk23,sk21,sk22)
& perp(sk23,sk20,sk21,sk22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk20,sk21,sk22,sk23,sk24,sk25,sk26])],[f94_nnf]) ).
cnf(c115,plain,
midp(sk24,sk20,sk21),
inference(cnf_transformation,[status(esa)],[f94_sk]) ).
cnf(hi115,negated_conjecture,
midp(sk24,sk20,sk21) = true,
inference(equality_encoding,[status(esa)],[c115]) ).
cnf(h10,plain,
cong(sk24,sk20,sk24,sk21) = true,
inference(hyper_resolution,[status(thm)],[hi68,hi115]) ).
cnf(hi12,axiom,
ifeq(cong(X0,X1,X0,X2),true,ifeq(cong(X0,X1,X0,X3),true,ifeq(cong(X0,X1,X0,X4),true,cyclic(X1,X2,X3,X4),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c12]) ).
cnf(h157,plain,
cyclic(sk20,sk21,sk21,sk21) = true,
inference(hyper_resolution,[status(thm)],[hi12,h10,h10,h10]) ).
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(t29,plain,
cyclic(sk21,sk21,sk21,sk21) = true,
inference(hyper_resolution,[status(thm)],[hi16,h157,h157]) ).
cnf(t3030,plain,
cyclic(sk21,sk21,sk21,sk21) = true,
inference(orient,[status(thm)],[t29]) ).
cnf(t3031,plain,
true = ifeq(true,true,eqangle(sk21,sk21,sk21,sk21,sk21,sk21,sk21,sk21),true),
inference(cp,[status(thm)],[t359,t3030]) ).
cnf(t35,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t256,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t35]) ).
cnf(t20752,plain,
true = eqangle(sk21,sk21,sk21,sk21,sk21,sk21,sk21,sk21),
inference(step,[status(thm)],[t3031,t256]) ).
cnf(t5490,plain,
eqangle(sk21,sk21,sk21,sk21,sk21,sk21,sk21,sk21) = true,
inference(orient,[status(thm)],[t20752]) ).
cnf(t5492,plain,
true = ifeq(true,true,para(sk21,sk21,sk21,sk21),true),
inference(cp,[status(thm)],[t314,t5490]) ).
cnf(t20753,plain,
true = para(sk21,sk21,sk21,sk21),
inference(step,[status(thm)],[t5492,t256]) ).
cnf(t5513,plain,
para(sk21,sk21,sk21,sk21) = true,
inference(orient,[status(thm)],[t20753]) ).
cnf(t5515,plain,
true = ifeq(true,true,eqangle(sk21,sk21,X1,X2,sk21,sk21,X1,X2),true),
inference(cp,[status(thm)],[t346,t5513]) ).
cnf(t20895,plain,
true = eqangle(sk21,sk21,X1,X2,sk21,sk21,X1,X2),
inference(step,[status(thm)],[t5515,t256]) ).
cnf(t7762,plain,
eqangle(sk21,sk21,X1,X2,sk21,sk21,X1,X2) = true,
inference(orient,[status(thm)],[t20895]) ).
cnf(t7766,plain,
true = ifeq(true,true,eqangle(X1,X2,sk21,sk21,X1,X2,sk21,sk21),true),
inference(cp,[status(thm)],[t308,t7762]) ).
cnf(t21054,plain,
true = eqangle(X1,X2,sk21,sk21,X1,X2,sk21,sk21),
inference(step,[status(thm)],[t7766,t256]) ).
cnf(t9577,plain,
eqangle(X1,X2,sk21,sk21,X1,X2,sk21,sk21) = true,
inference(orient,[status(thm)],[t21054]) ).
cnf(t9579,plain,
true = ifeq(true,true,para(X1,X2,X1,X2),true),
inference(cp,[status(thm)],[t314,t9577]) ).
cnf(t21055,plain,
true = para(X1,X2,X1,X2),
inference(step,[status(thm)],[t9579,t256]) ).
cnf(t9601,plain,
para(X1,X2,X1,X2) = true,
inference(orient,[status(thm)],[t21055]) ).
cnf(t9618,plain,
true = ifeq(midp(X1,X2,X2),true,ifeq(true,true,ifeq(para(X2,X3,X2,X3),true,midp(X1,X3,X3),true),true),true),
inference(cp,[status(thm)],[t333,t9601]) ).
cnf(t22125,plain,
true = ifeq(midp(X1,X2,X2),true,ifeq(para(X2,X3,X2,X3),true,midp(X1,X3,X3),true),true),
inference(step,[status(thm)],[t9618,t256]) ).
cnf(t22126,plain,
true = ifeq(midp(X1,X2,X2),true,ifeq(true,true,midp(X1,X3,X3),true),true),
inference(step,[status(thm)],[t22125,t9601]) ).
cnf(t22127,plain,
true = ifeq(midp(X1,X2,X2),true,midp(X1,X3,X3),true),
inference(step,[status(thm)],[t22126,t256]) ).
cnf(t19183,plain,
ifeq(midp(X1,X2,X2),true,midp(X1,X3,X3),true) = true,
inference(orient,[status(thm)],[t22127]) ).
fof(f67,axiom,
! [A,B,C] :
( ( coll(A,B,C)
& cong(A,B,A,C) )
=> midp(A,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD67) ).
fof(f67_nnf,plain,
! [A,B,C] :
( midp(A,B,C)
| ~ coll(A,B,C)
| ~ cong(A,B,A,C) ),
inference(nnf_transformation,[status(thm)],[f67]) ).
fof(f67_sk,plain,
! [A,B,C] :
( midp(A,B,C)
| ~ coll(A,B,C)
| ~ cong(A,B,A,C) ),
inference(skolemisation,[status(esa)],[f67_nnf]) ).
cnf(c67,plain,
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f67_sk]) ).
cnf(t137,plain,
ifeq(cong(X1,X2,X1,X3),true,ifeq(coll(X1,X2,X3),true,midp(X1,X2,X3),true),true) = true,
inference(equality_encoding,[status(esa)],[c67]) ).
cnf(t272,plain,
ifeq(cong(X1,X2,X1,X3),true,ifeq(coll(X1,X2,X3),true,midp(X1,X2,X3),true),true) = true,
inference(orient,[status(thm)],[t137]) ).
fof(f43,axiom,
! [A,B,C,P,Q,R] :
( ( eqangle(C,A,C,B,R,P,R,Q)
& cyclic(A,B,C,R)
& cyclic(A,B,C,Q)
& cyclic(A,B,C,P) )
=> cong(A,B,P,Q) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD43) ).
fof(f43_nnf,plain,
! [A,B,C,P,Q,R] :
( cong(A,B,P,Q)
| ~ eqangle(C,A,C,B,R,P,R,Q)
| ~ cyclic(A,B,C,R)
| ~ cyclic(A,B,C,Q)
| ~ cyclic(A,B,C,P) ),
inference(nnf_transformation,[status(thm)],[f43]) ).
fof(f43_sk,plain,
! [A,B,C,P,Q,R] :
( cong(A,B,P,Q)
| ~ eqangle(C,A,C,B,R,P,R,Q)
| ~ cyclic(A,B,C,R)
| ~ cyclic(A,B,C,Q)
| ~ cyclic(A,B,C,P) ),
inference(skolemisation,[status(esa)],[f43_nnf]) ).
cnf(c43,plain,
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f43_sk]) ).
cnf(t253,plain,
ifeq(cyclic(X1,X2,X3,X4),true,ifeq(cyclic(X1,X2,X3,X5),true,ifeq(cyclic(X1,X2,X3,X6),true,ifeq(eqangle(X3,X1,X3,X2,X6,X4,X6,X5),true,cong(X1,X2,X4,X5),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c43]) ).
cnf(t357,plain,
ifeq(cyclic(X1,X2,X3,X4),true,ifeq(cyclic(X1,X2,X3,X5),true,ifeq(cyclic(X1,X2,X3,X6),true,ifeq(eqangle(X3,X1,X3,X2,X6,X4,X6,X5),true,cong(X1,X2,X4,X5),true),true),true),true) = true,
inference(orient,[status(thm)],[t253]) ).
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(t87,plain,
ifeq(cyclic(X1,X2,X3,X4),true,cyclic(X1,X3,X2,X4),true) = true,
inference(equality_encoding,[status(esa)],[c14]) ).
cnf(t362,plain,
ifeq(cyclic(X1,X2,X3,X4),true,cyclic(X1,X3,X2,X4),true) = true,
inference(orient,[status(thm)],[t87]) ).
fof(f15,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(B,A,C,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD16) ).
fof(f15_nnf,plain,
! [A,B,C,D] :
( cyclic(B,A,C,D)
| ~ cyclic(A,B,C,D) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [A,B,C,D] :
( cyclic(B,A,C,D)
| ~ cyclic(A,B,C,D) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c15,plain,
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(t88,plain,
ifeq(cyclic(X1,X2,X3,X4),true,cyclic(X2,X1,X3,X4),true) = true,
inference(equality_encoding,[status(esa)],[c15]) ).
cnf(t360,plain,
ifeq(cyclic(X1,X2,X3,X4),true,cyclic(X2,X1,X3,X4),true) = true,
inference(orient,[status(thm)],[t88]) ).
fof(f10,axiom,
! [A,B,M] :
( midp(M,B,A)
=> midp(M,A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD11) ).
fof(f10_nnf,plain,
! [A,B,M] :
( midp(M,A,B)
| ~ midp(M,B,A) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [M,B,A] :
( midp(M,A,B)
| ~ midp(M,B,A) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(hi10,axiom,
ifeq(midp(X0,X1,X2),true,midp(X0,X2,X1),true) = true,
inference(equality_encoding,[status(esa)],[c10]) ).
cnf(c116,plain,
midp(sk25,sk22,sk21),
inference(cnf_transformation,[status(esa)],[f94_sk]) ).
cnf(hi116,negated_conjecture,
midp(sk25,sk22,sk21) = true,
inference(equality_encoding,[status(esa)],[c116]) ).
cnf(h30,plain,
midp(sk25,sk21,sk22) = true,
inference(hyper_resolution,[status(thm)],[hi10,hi116]) ).
cnf(h214,plain,
cong(sk25,sk21,sk25,sk22) = true,
inference(hyper_resolution,[status(thm)],[hi68,h30]) ).
cnf(t31,plain,
cyclic(sk21,sk22,sk22,sk22) = true,
inference(hyper_resolution,[status(thm)],[hi12,h214,h214,h214]) ).
cnf(t3093,plain,
cyclic(sk21,sk22,sk22,sk22) = true,
inference(orient,[status(thm)],[t31]) ).
cnf(t3094,plain,
true = ifeq(true,true,cyclic(sk22,sk21,sk22,sk22),true),
inference(cp,[status(thm)],[t360,t3093]) ).
cnf(t20708,plain,
true = cyclic(sk22,sk21,sk22,sk22),
inference(step,[status(thm)],[t3094,t256]) ).
cnf(t4675,plain,
cyclic(sk22,sk21,sk22,sk22) = true,
inference(orient,[status(thm)],[t20708]) ).
cnf(t4676,plain,
true = ifeq(true,true,cyclic(sk22,sk22,sk21,sk22),true),
inference(cp,[status(thm)],[t362,t4675]) ).
cnf(t20724,plain,
true = cyclic(sk22,sk22,sk21,sk22),
inference(step,[status(thm)],[t4676,t256]) ).
cnf(t5008,plain,
cyclic(sk22,sk22,sk21,sk22) = true,
inference(orient,[status(thm)],[t20724]) ).
cnf(t5011,plain,
true = ifeq(true,true,eqangle(sk21,sk22,sk21,sk22,sk22,sk22,sk22,sk22),true),
inference(cp,[status(thm)],[t359,t5008]) ).
cnf(t20878,plain,
true = eqangle(sk21,sk22,sk21,sk22,sk22,sk22,sk22,sk22),
inference(step,[status(thm)],[t5011,t256]) ).
cnf(t7613,plain,
eqangle(sk21,sk22,sk21,sk22,sk22,sk22,sk22,sk22) = true,
inference(orient,[status(thm)],[t20878]) ).
cnf(t7626,plain,
true = ifeq(cyclic(sk22,sk22,sk21,sk22),true,ifeq(cyclic(sk22,sk22,sk21,sk22),true,ifeq(cyclic(sk22,sk22,sk21,sk22),true,ifeq(true,true,cong(sk22,sk22,sk22,sk22),true),true),true),true),
inference(cp,[status(thm)],[t357,t7613]) ).
cnf(t20879,plain,
true = ifeq(true,true,ifeq(cyclic(sk22,sk22,sk21,sk22),true,ifeq(cyclic(sk22,sk22,sk21,sk22),true,ifeq(true,true,cong(sk22,sk22,sk22,sk22),true),true),true),true),
inference(step,[status(thm)],[t7626,t5008]) ).
cnf(t20880,plain,
true = ifeq(cyclic(sk22,sk22,sk21,sk22),true,ifeq(cyclic(sk22,sk22,sk21,sk22),true,ifeq(true,true,cong(sk22,sk22,sk22,sk22),true),true),true),
inference(step,[status(thm)],[t20879,t256]) ).
cnf(t20881,plain,
true = ifeq(true,true,ifeq(cyclic(sk22,sk22,sk21,sk22),true,ifeq(true,true,cong(sk22,sk22,sk22,sk22),true),true),true),
inference(step,[status(thm)],[t20880,t5008]) ).
cnf(t20882,plain,
true = ifeq(cyclic(sk22,sk22,sk21,sk22),true,ifeq(true,true,cong(sk22,sk22,sk22,sk22),true),true),
inference(step,[status(thm)],[t20881,t256]) ).
cnf(t20883,plain,
true = ifeq(true,true,ifeq(true,true,cong(sk22,sk22,sk22,sk22),true),true),
inference(step,[status(thm)],[t20882,t5008]) ).
cnf(t20884,plain,
true = ifeq(true,true,cong(sk22,sk22,sk22,sk22),true),
inference(step,[status(thm)],[t20883,t256]) ).
cnf(t20885,plain,
true = cong(sk22,sk22,sk22,sk22),
inference(step,[status(thm)],[t20884,t256]) ).
cnf(t7627,plain,
cong(sk22,sk22,sk22,sk22) = true,
inference(orient,[status(thm)],[t20885]) ).
cnf(t7637,plain,
true = ifeq(true,true,ifeq(coll(sk22,sk22,sk22),true,midp(sk22,sk22,sk22),true),true),
inference(cp,[status(thm)],[t272,t7627]) ).
cnf(t20886,plain,
true = ifeq(coll(sk22,sk22,sk22),true,midp(sk22,sk22,sk22),true),
inference(step,[status(thm)],[t7637,t256]) ).
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(t83,plain,
ifeq(para(X1,X2,X1,X3),true,coll(X1,X2,X3),true) = true,
inference(equality_encoding,[status(esa)],[c66]) ).
cnf(t353,plain,
ifeq(para(X1,X2,X1,X3),true,coll(X1,X2,X3),true) = true,
inference(orient,[status(thm)],[t83]) ).
cnf(t4678,plain,
true = ifeq(true,true,eqangle(sk22,sk22,sk22,sk21,sk22,sk22,sk22,sk21),true),
inference(cp,[status(thm)],[t359,t4675]) ).
cnf(t20857,plain,
true = eqangle(sk22,sk22,sk22,sk21,sk22,sk22,sk22,sk21),
inference(step,[status(thm)],[t4678,t256]) ).
cnf(t7389,plain,
eqangle(sk22,sk22,sk22,sk21,sk22,sk22,sk22,sk21) = true,
inference(orient,[status(thm)],[t20857]) ).
cnf(t7391,plain,
true = ifeq(true,true,para(sk22,sk22,sk22,sk22),true),
inference(cp,[status(thm)],[t314,t7389]) ).
cnf(t20858,plain,
true = para(sk22,sk22,sk22,sk22),
inference(step,[status(thm)],[t7391,t256]) ).
cnf(t7403,plain,
para(sk22,sk22,sk22,sk22) = true,
inference(orient,[status(thm)],[t20858]) ).
cnf(t7404,plain,
true = ifeq(true,true,coll(sk22,sk22,sk22),true),
inference(cp,[status(thm)],[t353,t7403]) ).
cnf(t20859,plain,
true = coll(sk22,sk22,sk22),
inference(step,[status(thm)],[t7404,t256]) ).
cnf(t7423,plain,
coll(sk22,sk22,sk22) = true,
inference(orient,[status(thm)],[t20859]) ).
cnf(t20887,plain,
true = ifeq(true,true,midp(sk22,sk22,sk22),true),
inference(step,[status(thm)],[t20886,t7423]) ).
cnf(t20888,plain,
true = midp(sk22,sk22,sk22),
inference(step,[status(thm)],[t20887,t256]) ).
cnf(t7665,plain,
midp(sk22,sk22,sk22) = true,
inference(orient,[status(thm)],[t20888]) ).
cnf(t19184,plain,
true = ifeq(true,true,midp(sk22,X1,X1),true),
inference(cp,[status(thm)],[t19183,t7665]) ).
cnf(t22128,plain,
true = midp(sk22,X1,X1),
inference(step,[status(thm)],[t19184,t256]) ).
cnf(t19190,plain,
midp(sk22,X1,X1) = true,
inference(orient,[status(thm)],[t22128]) ).
cnf(t19191,plain,
true = ifeq(true,true,cong(sk22,X1,sk22,X1),true),
inference(cp,[status(thm)],[t336,t19190]) ).
cnf(t22131,plain,
true = cong(sk22,X1,sk22,X1),
inference(step,[status(thm)],[t19191,t256]) ).
cnf(t19250,plain,
cong(sk22,X1,sk22,X1) = true,
inference(orient,[status(thm)],[t22131]) ).
cnf(t19261,plain,
true = ifeq(true,true,ifeq(cong(sk22,X1,sk22,X1),true,perp(sk22,sk22,X2,X1),true),true),
inference(cp,[status(thm)],[t271,t19250]) ).
cnf(t22135,plain,
true = ifeq(cong(sk22,X1,sk22,X1),true,perp(sk22,sk22,X2,X1),true),
inference(step,[status(thm)],[t19261,t256]) ).
cnf(t22136,plain,
true = ifeq(true,true,perp(sk22,sk22,X2,X1),true),
inference(step,[status(thm)],[t22135,t19250]) ).
cnf(t22137,plain,
true = perp(sk22,sk22,X2,X1),
inference(step,[status(thm)],[t22136,t256]) ).
cnf(t19377,plain,
perp(sk22,sk22,X1,X2) = true,
inference(orient,[status(thm)],[t22137]) ).
cnf(t19378,plain,
true = ifeq(true,true,perp(X1,X2,sk22,sk22),true),
inference(cp,[status(thm)],[t292,t19377]) ).
cnf(t22148,plain,
true = perp(X1,X2,sk22,sk22),
inference(step,[status(thm)],[t19378,t256]) ).
cnf(t19534,plain,
perp(X1,X2,sk22,sk22) = true,
inference(orient,[status(thm)],[t22148]) ).
cnf(t19541,plain,
true = ifeq(true,true,ifeq(perp(sk22,sk22,X1,X2),true,para(X3,X4,X1,X2),true),true),
inference(cp,[status(thm)],[t285,t19534]) ).
cnf(t22154,plain,
true = ifeq(perp(sk22,sk22,X1,X2),true,para(X3,X4,X1,X2),true),
inference(step,[status(thm)],[t19541,t256]) ).
cnf(t22155,plain,
true = ifeq(true,true,para(X3,X4,X1,X2),true),
inference(step,[status(thm)],[t22154,t19377]) ).
cnf(t22156,plain,
true = para(X3,X4,X1,X2),
inference(step,[status(thm)],[t22155,t256]) ).
cnf(t19689,plain,
para(X1,X2,X3,X4) = true,
inference(orient,[status(thm)],[t22156]) ).
cnf(t22168,plain,
ifeq(midp(X1,X2,X3),true,ifeq(true,true,ifeq(para(X2,X5,X3,X4),true,midp(X1,X4,X5),true),true),true) = true,
inference(step,[status(thm)],[t333,t19689]) ).
cnf(t22169,plain,
ifeq(midp(X1,X2,X3),true,ifeq(para(X2,X5,X3,X4),true,midp(X1,X4,X5),true),true) = true,
inference(step,[status(thm)],[t22168,t256]) ).
cnf(t22170,plain,
ifeq(midp(X1,X2,X3),true,ifeq(true,true,midp(X1,X4,X5),true),true) = true,
inference(step,[status(thm)],[t22169,t19689]) ).
cnf(t22171,plain,
ifeq(midp(X1,X2,X3),true,midp(X1,X4,X5),true) = true,
inference(step,[status(thm)],[t22170,t256]) ).
cnf(t19696,plain,
ifeq(midp(X1,X2,X3),true,midp(X1,X4,X5),true) = true,
inference(rw,[status(thm)],[t22171]) ).
cnf(t20394,plain,
ifeq(midp(X1,X2,X3),true,midp(X1,X4,X5),true) = true,
inference(orient,[status(thm)],[t19696]) ).
cnf(t5512,plain,
true = ifeq(cyclic(sk21,sk21,sk21,sk21),true,ifeq(cyclic(sk21,sk21,sk21,sk21),true,ifeq(cyclic(sk21,sk21,sk21,sk21),true,ifeq(true,true,cong(sk21,sk21,sk21,sk21),true),true),true),true),
inference(cp,[status(thm)],[t357,t5490]) ).
cnf(t20755,plain,
true = ifeq(true,true,ifeq(cyclic(sk21,sk21,sk21,sk21),true,ifeq(cyclic(sk21,sk21,sk21,sk21),true,ifeq(true,true,cong(sk21,sk21,sk21,sk21),true),true),true),true),
inference(step,[status(thm)],[t5512,t3030]) ).
cnf(t20756,plain,
true = ifeq(cyclic(sk21,sk21,sk21,sk21),true,ifeq(cyclic(sk21,sk21,sk21,sk21),true,ifeq(true,true,cong(sk21,sk21,sk21,sk21),true),true),true),
inference(step,[status(thm)],[t20755,t256]) ).
cnf(t20757,plain,
true = ifeq(true,true,ifeq(cyclic(sk21,sk21,sk21,sk21),true,ifeq(true,true,cong(sk21,sk21,sk21,sk21),true),true),true),
inference(step,[status(thm)],[t20756,t3030]) ).
cnf(t20758,plain,
true = ifeq(cyclic(sk21,sk21,sk21,sk21),true,ifeq(true,true,cong(sk21,sk21,sk21,sk21),true),true),
inference(step,[status(thm)],[t20757,t256]) ).
cnf(t20759,plain,
true = ifeq(true,true,ifeq(true,true,cong(sk21,sk21,sk21,sk21),true),true),
inference(step,[status(thm)],[t20758,t3030]) ).
cnf(t20760,plain,
true = ifeq(true,true,cong(sk21,sk21,sk21,sk21),true),
inference(step,[status(thm)],[t20759,t256]) ).
cnf(t20761,plain,
true = cong(sk21,sk21,sk21,sk21),
inference(step,[status(thm)],[t20760,t256]) ).
cnf(t5561,plain,
cong(sk21,sk21,sk21,sk21) = true,
inference(orient,[status(thm)],[t20761]) ).
cnf(t5571,plain,
true = ifeq(true,true,ifeq(coll(sk21,sk21,sk21),true,midp(sk21,sk21,sk21),true),true),
inference(cp,[status(thm)],[t272,t5561]) ).
cnf(t20762,plain,
true = ifeq(coll(sk21,sk21,sk21),true,midp(sk21,sk21,sk21),true),
inference(step,[status(thm)],[t5571,t256]) ).
cnf(t5514,plain,
true = ifeq(true,true,coll(sk21,sk21,sk21),true),
inference(cp,[status(thm)],[t353,t5513]) ).
cnf(t20754,plain,
true = coll(sk21,sk21,sk21),
inference(step,[status(thm)],[t5514,t256]) ).
cnf(t5534,plain,
coll(sk21,sk21,sk21) = true,
inference(orient,[status(thm)],[t20754]) ).
cnf(t20763,plain,
true = ifeq(true,true,midp(sk21,sk21,sk21),true),
inference(step,[status(thm)],[t20762,t5534]) ).
cnf(t20764,plain,
true = midp(sk21,sk21,sk21),
inference(step,[status(thm)],[t20763,t256]) ).
cnf(t5599,plain,
midp(sk21,sk21,sk21) = true,
inference(orient,[status(thm)],[t20764]) ).
cnf(t19186,plain,
true = ifeq(true,true,midp(sk21,X1,X1),true),
inference(cp,[status(thm)],[t19183,t5599]) ).
cnf(t22130,plain,
true = midp(sk21,X1,X1),
inference(step,[status(thm)],[t19186,t256]) ).
cnf(t19230,plain,
midp(sk21,X1,X1) = true,
inference(orient,[status(thm)],[t22130]) ).
cnf(t20395,plain,
true = ifeq(true,true,midp(sk21,X1,X2),true),
inference(cp,[status(thm)],[t20394,t19230]) ).
cnf(t22256,plain,
true = midp(sk21,X1,X2),
inference(step,[status(thm)],[t20395,t256]) ).
cnf(t20418,plain,
midp(sk21,X1,X2) = true,
inference(orient,[status(thm)],[t22256]) ).
cnf(t20419,plain,
true = ifeq(true,true,cong(sk21,X1,sk21,X2),true),
inference(cp,[status(thm)],[t336,t20418]) ).
cnf(t22262,plain,
true = cong(sk21,X1,sk21,X2),
inference(step,[status(thm)],[t20419,t256]) ).
cnf(t20477,plain,
cong(sk21,X1,sk21,X2) = true,
inference(orient,[status(thm)],[t22262]) ).
cnf(t20495,plain,
true = ifeq(true,true,ifeq(cong(sk21,X1,sk21,X2),true,ifeq(cong(sk21,X1,sk21,X3),true,cyclic(X1,X4,X2,X3),true),true),true),
inference(cp,[status(thm)],[t273,t20477]) ).
cnf(t22272,plain,
true = ifeq(cong(sk21,X1,sk21,X2),true,ifeq(cong(sk21,X1,sk21,X3),true,cyclic(X1,X4,X2,X3),true),true),
inference(step,[status(thm)],[t20495,t256]) ).
cnf(t22273,plain,
true = ifeq(true,true,ifeq(cong(sk21,X1,sk21,X3),true,cyclic(X1,X4,X2,X3),true),true),
inference(step,[status(thm)],[t22272,t20477]) ).
cnf(t22274,plain,
true = ifeq(cong(sk21,X1,sk21,X3),true,cyclic(X1,X4,X2,X3),true),
inference(step,[status(thm)],[t22273,t256]) ).
cnf(t22275,plain,
true = ifeq(true,true,cyclic(X1,X4,X2,X3),true),
inference(step,[status(thm)],[t22274,t20477]) ).
cnf(t22276,plain,
true = cyclic(X1,X4,X2,X3),
inference(step,[status(thm)],[t22275,t256]) ).
cnf(t20663,plain,
cyclic(X1,X2,X3,X4) = true,
inference(orient,[status(thm)],[t22276]) ).
cnf(c118,plain,
~ cyclic(sk24,sk23,sk25,sk26),
inference(cnf_transformation,[status(esa)],[f94_sk]) ).
cnf(goal_0,negated_conjecture,
cyclic(sk24,sk23,sk25,sk26) != true,
inference(equality_encoding,[status(esa)],[c118]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t20663]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO551+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/5.36 % Computer : n007.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Wed Sep 23 12:20:42 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 117.12/21.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 117.12/21.81 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------