%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO608+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 : n006.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 01:18:17 PM UTC 2026
% Result : Theorem 140.37s 23.28s
% Output : Proof 140.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 89
% Number of leaves : 22
% Syntax : Number of formulae : 251 ( 167 unt; 0 def)
% Number of atoms : 395 ( 163 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 237 ( 93 ~; 87 |; 35 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 13 ( 13 usr; 12 con; 0-4 aty)
% Number of variables : 867 ( 154 sgn 310 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
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(f22,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(A,B,D,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD23) ).
fof(f22_nnf,plain,
! [A,B,C,D] :
( cong(A,B,D,C)
| ~ cong(A,B,C,D) ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
! [A,B,C,D] :
( cong(A,B,D,C)
| ~ cong(A,B,C,D) ),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c22,plain,
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(t75,plain,
ifeq(cong(X1,X2,X3,X4),true,cong(X1,X2,X4,X3),true) = true,
inference(equality_encoding,[status(esa)],[c22]) ).
cnf(t268,plain,
ifeq(cong(X1,X2,X3,X4),true,cong(X1,X2,X4,X3),true) = true,
inference(orient,[status(thm)],[t75]) ).
fof(f23,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(C,D,A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD24) ).
fof(f23_nnf,plain,
! [A,B,C,D] :
( cong(C,D,A,B)
| ~ cong(A,B,C,D) ),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
! [A,B,C,D] :
( cong(C,D,A,B)
| ~ cong(A,B,C,D) ),
inference(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c23,plain,
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(t76,plain,
ifeq(cong(X1,X2,X3,X4),true,cong(X3,X4,X1,X2),true) = true,
inference(equality_encoding,[status(esa)],[c23]) ).
cnf(t266,plain,
ifeq(cong(X1,X2,X3,X4),true,cong(X3,X4,X1,X2),true) = true,
inference(orient,[status(thm)],[t76]) ).
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(t73,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)],[t73]) ).
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(t217,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)],[t217]) ).
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(t83,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)],[t83]) ).
fof(f73,axiom,
! [A,B,C,D,P,Q,U,V] :
( ( para(P,Q,U,V)
& eqangle(A,B,C,D,P,Q,U,V) )
=> para(A,B,C,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD73) ).
fof(f73_nnf,plain,
! [A,B,C,D,P,Q,U,V] :
( para(A,B,C,D)
| ~ para(P,Q,U,V)
| ~ eqangle(A,B,C,D,P,Q,U,V) ),
inference(nnf_transformation,[status(thm)],[f73]) ).
fof(f73_sk,plain,
! [A,B,C,D,P,Q,U,V] :
( para(A,B,C,D)
| ~ para(P,Q,U,V)
| ~ eqangle(A,B,C,D,P,Q,U,V) ),
inference(skolemisation,[status(esa)],[f73_nnf]) ).
cnf(c73,plain,
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[status(esa)],[f73_sk]) ).
cnf(t199,plain,
ifeq(eqangle(X1,X2,X3,X4,X5,X6,X7,X8),true,ifeq(para(X5,X6,X7,X8),true,para(X1,X2,X3,X4),true),true) = true,
inference(equality_encoding,[status(esa)],[c73]) ).
cnf(t305,plain,
ifeq(eqangle(X1,X2,X3,X4,X5,X6,X7,X8),true,ifeq(para(X5,X6,X7,X8),true,para(X1,X2,X3,X4),true),true) = true,
inference(orient,[status(thm)],[t199]) ).
fof(f20,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(A,B,P,Q,C,D,U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD21) ).
fof(f20_nnf,plain,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,P,Q,C,D,U,V)
| ~ eqangle(A,B,C,D,P,Q,U,V) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,P,Q,C,D,U,V)
| ~ eqangle(A,B,C,D,P,Q,U,V) ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(t157,plain,
ifeq(eqangle(X1,X2,X3,X4,X5,X6,X7,X8),true,eqangle(X1,X2,X5,X6,X3,X4,X7,X8),true) = true,
inference(equality_encoding,[status(esa)],[c20]) ).
cnf(t312,plain,
ifeq(eqangle(X1,X2,X3,X4,X5,X6,X7,X8),true,eqangle(X1,X2,X5,X6,X3,X4,X7,X8),true) = true,
inference(orient,[status(thm)],[t157]) ).
fof(f44,axiom,
! [A,B,C,E,F] :
( ( midp(F,A,C)
& midp(E,A,B) )
=> para(E,F,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD44) ).
fof(f44_nnf,plain,
! [A,B,C,E,F] :
( para(E,F,B,C)
| ~ midp(F,A,C)
| ~ midp(E,A,B) ),
inference(nnf_transformation,[status(thm)],[f44]) ).
fof(f44_sk,plain,
! [E,A,B,F,C] :
( para(E,F,B,C)
| ~ midp(F,A,C)
| ~ midp(E,A,B) ),
inference(skolemisation,[status(esa)],[f44_nnf]) ).
cnf(c44,plain,
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f44_sk]) ).
cnf(hi44,axiom,
ifeq(midp(X0,X1,X2),true,ifeq(midp(X3,X1,X4),true,para(X0,X3,X2,X4),true),true) = true,
inference(equality_encoding,[status(esa)],[c44]) ).
fof(f94,conjecture,
! [P,A,B,O,A1,B1,O1,NWPNT1,NWPNT2,NWPNT3,NWPNT4] :
( ( circle(O1,P,A1,B1)
& circle(O,A,B1,NWPNT4)
& coll(B1,P,B)
& circle(O,A,A1,NWPNT3)
& coll(A1,P,A)
& circle(O,A,NWPNT1,NWPNT2)
& midp(O,B,A) )
=> perp(O,A1,A1,O1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618070) ).
fof(f94_neg,negated_conjecture,
~ ! [P,A,B,O,A1,B1,O1,NWPNT1,NWPNT2,NWPNT3,NWPNT4] :
( ( circle(O1,P,A1,B1)
& circle(O,A,B1,NWPNT4)
& coll(B1,P,B)
& circle(O,A,A1,NWPNT3)
& coll(A1,P,A)
& circle(O,A,NWPNT1,NWPNT2)
& midp(O,B,A) )
=> perp(O,A1,A1,O1) ),
inference(negated_conjecture,[status(cth)],[f94]) ).
fof(f94_nnf,plain,
? [P,A,B,O,A1,B1,O1,NWPNT1,NWPNT2,NWPNT3,NWPNT4] :
( ~ perp(O,A1,A1,O1)
& circle(O1,P,A1,B1)
& circle(O,A,B1,NWPNT4)
& coll(B1,P,B)
& circle(O,A,A1,NWPNT3)
& coll(A1,P,A)
& circle(O,A,NWPNT1,NWPNT2)
& midp(O,B,A) ),
inference(nnf_transformation,[status(thm)],[f94_neg]) ).
fof(f94_sk,plain,
( ~ perp(sk23,sk24,sk24,sk26)
& circle(sk26,sk20,sk24,sk25)
& circle(sk23,sk21,sk25,sk30)
& coll(sk25,sk20,sk22)
& circle(sk23,sk21,sk24,sk29)
& coll(sk24,sk20,sk21)
& circle(sk23,sk21,sk27,sk28)
& midp(sk23,sk22,sk21) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk20,sk21,sk22,sk23,sk24,sk25,sk26,sk27,sk28,sk29,sk30])],[f94_nnf]) ).
cnf(c113,plain,
midp(sk23,sk22,sk21),
inference(cnf_transformation,[status(esa)],[f94_sk]) ).
cnf(hi113,negated_conjecture,
midp(sk23,sk22,sk21) = true,
inference(equality_encoding,[status(esa)],[c113]) ).
cnf(h7,plain,
para(sk23,sk23,sk21,sk21) = true,
inference(hyper_resolution,[status(thm)],[hi44,hi113,hi113]) ).
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(h76,plain,
eqangle(sk23,sk23,V0,V1,sk21,sk21,V0,V1) = true,
inference(hyper_resolution,[status(thm)],[hi39,h7]) ).
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(hi18,axiom,
ifeq(eqangle(X0,X1,X2,X3,X4,X5,X6,X7),true,eqangle(X2,X3,X0,X1,X6,X7,X4,X5),true) = true,
inference(equality_encoding,[status(esa)],[c18]) ).
cnf(t31,plain,
eqangle(X1,X2,sk23,sk23,X1,X2,sk21,sk21) = true,
inference(hyper_resolution,[status(thm)],[hi18,h76]) ).
cnf(t1695,plain,
eqangle(X1,X2,sk23,sk23,X1,X2,sk21,sk21) = true,
inference(orient,[status(thm)],[t31]) ).
cnf(t1696,plain,
true = ifeq(true,true,eqangle(X1,X2,X1,X2,sk23,sk23,sk21,sk21),true),
inference(cp,[status(thm)],[t312,t1695]) ).
cnf(t28,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t256,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t28]) ).
cnf(t12880,plain,
true = eqangle(X1,X2,X1,X2,sk23,sk23,sk21,sk21),
inference(step,[status(thm)],[t1696,t256]) ).
cnf(t4990,plain,
eqangle(X1,X2,X1,X2,sk23,sk23,sk21,sk21) = true,
inference(orient,[status(thm)],[t12880]) ).
cnf(t4995,plain,
true = ifeq(true,true,ifeq(para(sk23,sk23,sk21,sk21),true,para(X1,X2,X1,X2),true),true),
inference(cp,[status(thm)],[t305,t4990]) ).
cnf(t12881,plain,
true = ifeq(para(sk23,sk23,sk21,sk21),true,para(X1,X2,X1,X2),true),
inference(step,[status(thm)],[t4995,t256]) ).
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(t132,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)],[t132]) ).
cnf(t34,plain,
eqangle(sk23,sk23,X1,X2,sk21,sk21,X1,X2) = true,
inference(hyper_resolution,[status(thm)],[hi39,h7]) ).
cnf(t1767,plain,
eqangle(sk23,sk23,X1,X2,sk21,sk21,X1,X2) = true,
inference(orient,[status(thm)],[t34]) ).
cnf(t1769,plain,
true = ifeq(true,true,para(sk23,sk23,sk21,sk21),true),
inference(cp,[status(thm)],[t314,t1767]) ).
cnf(t12849,plain,
true = para(sk23,sk23,sk21,sk21),
inference(step,[status(thm)],[t1769,t256]) ).
cnf(t4190,plain,
para(sk23,sk23,sk21,sk21) = true,
inference(orient,[status(thm)],[t12849]) ).
cnf(t12882,plain,
true = ifeq(true,true,para(X1,X2,X1,X2),true),
inference(step,[status(thm)],[t12881,t4190]) ).
cnf(t12883,plain,
true = para(X1,X2,X1,X2),
inference(step,[status(thm)],[t12882,t256]) ).
cnf(t5000,plain,
para(X1,X2,X1,X2) = true,
inference(orient,[status(thm)],[t12883]) ).
cnf(t5018,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,t5000]) ).
cnf(t13698,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)],[t5018,t256]) ).
cnf(t13699,plain,
true = ifeq(midp(X1,X2,X2),true,ifeq(true,true,midp(X1,X3,X3),true),true),
inference(step,[status(thm)],[t13698,t5000]) ).
cnf(t13700,plain,
true = ifeq(midp(X1,X2,X2),true,midp(X1,X3,X3),true),
inference(step,[status(thm)],[t13699,t256]) ).
cnf(t11714,plain,
ifeq(midp(X1,X2,X2),true,midp(X1,X3,X3),true) = true,
inference(orient,[status(thm)],[t13700]) ).
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(c117,plain,
coll(sk25,sk20,sk22),
inference(cnf_transformation,[status(esa)],[f94_sk]) ).
cnf(hi117,negated_conjecture,
coll(sk25,sk20,sk22) = true,
inference(equality_encoding,[status(esa)],[c117]) ).
cnf(h14,plain,
coll(sk22,sk22,sk25) = true,
inference(hyper_resolution,[status(thm)],[hi2,hi117,hi117]) ).
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(h99,plain,
coll(sk22,sk25,sk22) = true,
inference(hyper_resolution,[status(thm)],[hi0,h14]) ).
cnf(h422,plain,
coll(sk22,sk22,sk22) = true,
inference(hyper_resolution,[status(thm)],[hi2,h99,h99]) ).
fof(f69,axiom,
! [A,B,C] :
( midp(A,B,C)
=> coll(A,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD69) ).
fof(f69_nnf,plain,
! [A,B,C] :
( coll(A,B,C)
| ~ midp(A,B,C) ),
inference(nnf_transformation,[status(thm)],[f69]) ).
fof(f69_sk,plain,
! [A,B,C] :
( coll(A,B,C)
| ~ midp(A,B,C) ),
inference(skolemisation,[status(esa)],[f69_nnf]) ).
cnf(c69,plain,
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f69_sk]) ).
cnf(hi69,axiom,
ifeq(midp(X0,X1,X2),true,coll(X0,X1,X2),true) = true,
inference(equality_encoding,[status(esa)],[c69]) ).
cnf(h4,plain,
coll(sk23,sk22,sk21) = true,
inference(hyper_resolution,[status(thm)],[hi69,hi113]) ).
cnf(h42,plain,
coll(sk23,sk21,sk22) = true,
inference(hyper_resolution,[status(thm)],[hi0,h4]) ).
cnf(h147,plain,
coll(sk22,sk22,sk23) = true,
inference(hyper_resolution,[status(thm)],[hi2,h42,h42]) ).
cnf(h1404,plain,
coll(sk23,sk22,sk22) = true,
inference(hyper_resolution,[status(thm)],[hi2,h147,h422]) ).
cnf(hi68,axiom,
ifeq(midp(X0,X1,X2),true,cong(X0,X1,X0,X2),true) = true,
inference(equality_encoding,[status(esa)],[c68]) ).
cnf(h5,plain,
cong(sk23,sk22,sk23,sk21) = true,
inference(hyper_resolution,[status(thm)],[hi68,hi113]) ).
cnf(hi23,axiom,
ifeq(cong(X0,X1,X2,X3),true,cong(X2,X3,X0,X1),true) = true,
inference(equality_encoding,[status(esa)],[c23]) ).
cnf(h47,plain,
cong(sk23,sk21,sk23,sk22) = true,
inference(hyper_resolution,[status(thm)],[hi23,h5]) ).
fof(f24,axiom,
! [A,B,C,D,E,F] :
( ( cong(C,D,E,F)
& cong(A,B,C,D) )
=> cong(A,B,E,F) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD25) ).
fof(f24_nnf,plain,
! [A,B,C,D,E,F] :
( cong(A,B,E,F)
| ~ cong(C,D,E,F)
| ~ cong(A,B,C,D) ),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
! [A,B,C,D,E,F] :
( cong(A,B,E,F)
| ~ cong(C,D,E,F)
| ~ cong(A,B,C,D) ),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c24,plain,
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(hi24,axiom,
ifeq(cong(X0,X1,X2,X3),true,ifeq(cong(X2,X3,X4,X5),true,cong(X0,X1,X4,X5),true),true) = true,
inference(equality_encoding,[status(esa)],[c24]) ).
cnf(h398,plain,
cong(sk23,sk22,sk23,sk22) = true,
inference(hyper_resolution,[status(thm)],[hi24,h5,h47]) ).
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(hi67,axiom,
ifeq(cong(X0,X1,X0,X2),true,ifeq(coll(X0,X1,X2),true,midp(X0,X1,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c67]) ).
cnf(t23,plain,
midp(sk23,sk22,sk22) = true,
inference(hyper_resolution,[status(thm)],[hi67,h398,h1404]) ).
cnf(t1960,plain,
midp(sk23,sk22,sk22) = true,
inference(orient,[status(thm)],[t23]) ).
cnf(t11723,plain,
true = ifeq(true,true,midp(sk23,X1,X1),true),
inference(cp,[status(thm)],[t11714,t1960]) ).
cnf(t13701,plain,
true = midp(sk23,X1,X1),
inference(step,[status(thm)],[t11723,t256]) ).
cnf(t11725,plain,
midp(sk23,X1,X1) = true,
inference(orient,[status(thm)],[t13701]) ).
cnf(t11726,plain,
true = ifeq(true,true,cong(sk23,X1,sk23,X1),true),
inference(cp,[status(thm)],[t336,t11725]) ).
cnf(t13702,plain,
true = cong(sk23,X1,sk23,X1),
inference(step,[status(thm)],[t11726,t256]) ).
cnf(t11745,plain,
cong(sk23,X1,sk23,X1) = true,
inference(orient,[status(thm)],[t13702]) ).
cnf(t11756,plain,
true = ifeq(true,true,ifeq(cong(sk23,X1,sk23,X1),true,perp(sk23,sk23,X2,X1),true),true),
inference(cp,[status(thm)],[t271,t11745]) ).
cnf(t13704,plain,
true = ifeq(cong(sk23,X1,sk23,X1),true,perp(sk23,sk23,X2,X1),true),
inference(step,[status(thm)],[t11756,t256]) ).
cnf(t13705,plain,
true = ifeq(true,true,perp(sk23,sk23,X2,X1),true),
inference(step,[status(thm)],[t13704,t11745]) ).
cnf(t13706,plain,
true = perp(sk23,sk23,X2,X1),
inference(step,[status(thm)],[t13705,t256]) ).
cnf(t11807,plain,
perp(sk23,sk23,X1,X2) = true,
inference(orient,[status(thm)],[t13706]) ).
cnf(t11808,plain,
true = ifeq(true,true,perp(X1,X2,sk23,sk23),true),
inference(cp,[status(thm)],[t292,t11807]) ).
cnf(t13708,plain,
true = perp(X1,X2,sk23,sk23),
inference(step,[status(thm)],[t11808,t256]) ).
cnf(t11856,plain,
perp(X1,X2,sk23,sk23) = true,
inference(orient,[status(thm)],[t13708]) ).
cnf(t11863,plain,
true = ifeq(true,true,ifeq(perp(sk23,sk23,X1,X2),true,para(X3,X4,X1,X2),true),true),
inference(cp,[status(thm)],[t285,t11856]) ).
cnf(t13710,plain,
true = ifeq(perp(sk23,sk23,X1,X2),true,para(X3,X4,X1,X2),true),
inference(step,[status(thm)],[t11863,t256]) ).
cnf(t13711,plain,
true = ifeq(true,true,para(X3,X4,X1,X2),true),
inference(step,[status(thm)],[t13710,t11807]) ).
cnf(t13712,plain,
true = para(X3,X4,X1,X2),
inference(step,[status(thm)],[t13711,t256]) ).
cnf(t11909,plain,
para(X1,X2,X3,X4) = true,
inference(orient,[status(thm)],[t13712]) ).
cnf(t13724,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,t11909]) ).
cnf(t13725,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)],[t13724,t256]) ).
cnf(t13726,plain,
ifeq(midp(X1,X2,X3),true,ifeq(true,true,midp(X1,X4,X5),true),true) = true,
inference(step,[status(thm)],[t13725,t11909]) ).
cnf(t13727,plain,
ifeq(midp(X1,X2,X3),true,midp(X1,X4,X5),true) = true,
inference(step,[status(thm)],[t13726,t256]) ).
cnf(t11916,plain,
ifeq(midp(X1,X2,X3),true,midp(X1,X4,X5),true) = true,
inference(rw,[status(thm)],[t13727]) ).
cnf(t12289,plain,
ifeq(midp(X1,X2,X3),true,midp(X1,X4,X5),true) = true,
inference(orient,[status(thm)],[t11916]) ).
cnf(t145,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)],[t145]) ).
cnf(t137,plain,
ifeq(coll(X1,X2,X3),true,ifeq(coll(X1,X2,X4),true,coll(X3,X4,X1),true),true) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(t260,plain,
ifeq(coll(X1,X2,X3),true,ifeq(coll(X1,X2,X4),true,coll(X3,X4,X1),true),true) = true,
inference(orient,[status(thm)],[t137]) ).
cnf(t66,plain,
ifeq(coll(X1,X2,X3),true,coll(X1,X3,X2),true) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t263,plain,
ifeq(coll(X1,X2,X3),true,coll(X1,X3,X2),true) = true,
inference(orient,[status(thm)],[t66]) ).
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(t67,plain,
ifeq(coll(X1,X2,X3),true,coll(X2,X1,X3),true) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(t261,plain,
ifeq(coll(X1,X2,X3),true,coll(X2,X1,X3),true) = true,
inference(orient,[status(thm)],[t67]) ).
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(t74,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)],[t74]) ).
cnf(t5001,plain,
true = ifeq(true,true,coll(X1,X2,X2),true),
inference(cp,[status(thm)],[t353,t5000]) ).
cnf(t12884,plain,
true = coll(X1,X2,X2),
inference(step,[status(thm)],[t5001,t256]) ).
cnf(t5027,plain,
coll(X1,X2,X2) = true,
inference(orient,[status(thm)],[t12884]) ).
cnf(t5029,plain,
true = ifeq(true,true,coll(X1,X2,X1),true),
inference(cp,[status(thm)],[t261,t5027]) ).
cnf(t12885,plain,
true = coll(X1,X2,X1),
inference(step,[status(thm)],[t5029,t256]) ).
cnf(t5070,plain,
coll(X1,X2,X1) = true,
inference(orient,[status(thm)],[t12885]) ).
cnf(t5073,plain,
true = ifeq(true,true,coll(X1,X1,X2),true),
inference(cp,[status(thm)],[t263,t5070]) ).
cnf(t12886,plain,
true = coll(X1,X1,X2),
inference(step,[status(thm)],[t5073,t256]) ).
cnf(t5102,plain,
coll(X1,X1,X2) = true,
inference(orient,[status(thm)],[t12886]) ).
cnf(t5105,plain,
true = ifeq(true,true,ifeq(coll(X1,X1,X2),true,coll(X3,X2,X1),true),true),
inference(cp,[status(thm)],[t260,t5102]) ).
cnf(t12887,plain,
true = ifeq(coll(X1,X1,X2),true,coll(X3,X2,X1),true),
inference(step,[status(thm)],[t5105,t256]) ).
cnf(t12888,plain,
true = ifeq(true,true,coll(X3,X2,X1),true),
inference(step,[status(thm)],[t12887,t5102]) ).
cnf(t12889,plain,
true = coll(X3,X2,X1),
inference(step,[status(thm)],[t12888,t256]) ).
cnf(t5137,plain,
coll(X1,X2,X3) = true,
inference(orient,[status(thm)],[t12889]) ).
cnf(t12900,plain,
ifeq(cong(X1,X2,X1,X3),true,ifeq(true,true,midp(X1,X2,X3),true),true) = true,
inference(step,[status(thm)],[t272,t5137]) ).
cnf(t12901,plain,
ifeq(cong(X1,X2,X1,X3),true,midp(X1,X2,X3),true) = true,
inference(step,[status(thm)],[t12900,t256]) ).
cnf(t5144,plain,
ifeq(cong(X1,X2,X1,X3),true,midp(X1,X2,X3),true) = true,
inference(rw,[status(thm)],[t12901]) ).
cnf(t12679,plain,
ifeq(cong(X1,X2,X1,X3),true,midp(X1,X2,X3),true) = true,
inference(orient,[status(thm)],[t5144]) ).
cnf(t12305,plain,
true = ifeq(true,true,midp(sk23,X1,X2),true),
inference(cp,[status(thm)],[t12289,t11725]) ).
cnf(t13775,plain,
true = midp(sk23,X1,X2),
inference(step,[status(thm)],[t12305,t256]) ).
cnf(t12308,plain,
midp(sk23,X1,X2) = true,
inference(orient,[status(thm)],[t13775]) ).
cnf(t12309,plain,
true = ifeq(true,true,cong(sk23,X1,sk23,X2),true),
inference(cp,[status(thm)],[t336,t12308]) ).
cnf(t13776,plain,
true = cong(sk23,X1,sk23,X2),
inference(step,[status(thm)],[t12309,t256]) ).
cnf(t12318,plain,
cong(sk23,X1,sk23,X2) = true,
inference(orient,[status(thm)],[t13776]) ).
cnf(t12320,plain,
true = ifeq(true,true,cong(sk23,X1,X2,sk23),true),
inference(cp,[status(thm)],[t268,t12318]) ).
cnf(t13777,plain,
true = cong(sk23,X1,X2,sk23),
inference(step,[status(thm)],[t12320,t256]) ).
cnf(t12343,plain,
cong(sk23,X1,X2,sk23) = true,
inference(orient,[status(thm)],[t13777]) ).
cnf(t12345,plain,
true = ifeq(true,true,cong(X1,sk23,sk23,X2),true),
inference(cp,[status(thm)],[t266,t12343]) ).
cnf(t13790,plain,
true = cong(X1,sk23,sk23,X2),
inference(step,[status(thm)],[t12345,t256]) ).
cnf(t12376,plain,
cong(X1,sk23,sk23,X2) = true,
inference(orient,[status(thm)],[t13790]) ).
cnf(t12378,plain,
true = ifeq(true,true,cong(X1,sk23,X2,sk23),true),
inference(cp,[status(thm)],[t268,t12376]) ).
cnf(t13791,plain,
true = cong(X1,sk23,X2,sk23),
inference(step,[status(thm)],[t12378,t256]) ).
cnf(t12394,plain,
cong(X1,sk23,X2,sk23) = true,
inference(orient,[status(thm)],[t13791]) ).
cnf(t12682,plain,
true = ifeq(true,true,midp(X1,sk23,sk23),true),
inference(cp,[status(thm)],[t12679,t12394]) ).
cnf(t13819,plain,
true = midp(X1,sk23,sk23),
inference(step,[status(thm)],[t12682,t256]) ).
cnf(t12691,plain,
midp(X1,sk23,sk23) = true,
inference(orient,[status(thm)],[t13819]) ).
cnf(t12692,plain,
true = ifeq(true,true,midp(X1,X2,X3),true),
inference(cp,[status(thm)],[t12289,t12691]) ).
cnf(t13824,plain,
true = midp(X1,X2,X3),
inference(step,[status(thm)],[t12692,t256]) ).
cnf(t12735,plain,
midp(X1,X2,X3) = true,
inference(orient,[status(thm)],[t13824]) ).
cnf(t13825,plain,
ifeq(true,true,cong(X1,X2,X1,X3),true) = true,
inference(step,[status(thm)],[t336,t12735]) ).
cnf(t13826,plain,
cong(X1,X2,X1,X3) = true,
inference(step,[status(thm)],[t13825,t256]) ).
cnf(t12736,plain,
cong(X1,X2,X1,X3) = true,
inference(rw,[status(thm)],[t13826]) ).
cnf(t12742,plain,
cong(X1,X2,X1,X3) = true,
inference(orient,[status(thm)],[t12736]) ).
cnf(t12744,plain,
true = ifeq(true,true,cong(X1,X2,X3,X1),true),
inference(cp,[status(thm)],[t268,t12742]) ).
cnf(t13856,plain,
true = cong(X1,X2,X3,X1),
inference(step,[status(thm)],[t12744,t256]) ).
cnf(t12761,plain,
cong(X1,X2,X3,X1) = true,
inference(orient,[status(thm)],[t13856]) ).
cnf(t12763,plain,
true = ifeq(true,true,cong(X1,X2,X2,X3),true),
inference(cp,[status(thm)],[t266,t12761]) ).
cnf(t13862,plain,
true = cong(X1,X2,X2,X3),
inference(step,[status(thm)],[t12763,t256]) ).
cnf(t12784,plain,
cong(X1,X2,X2,X3) = true,
inference(orient,[status(thm)],[t13862]) ).
cnf(t12786,plain,
true = ifeq(true,true,cong(X1,X2,X3,X2),true),
inference(cp,[status(thm)],[t268,t12784]) ).
cnf(t13864,plain,
true = cong(X1,X2,X3,X2),
inference(step,[status(thm)],[t12786,t256]) ).
cnf(t12806,plain,
cong(X1,X2,X3,X2) = true,
inference(orient,[status(thm)],[t13864]) ).
cnf(t13865,plain,
ifeq(true,true,ifeq(cong(X1,X4,X3,X4),true,perp(X1,X3,X2,X4),true),true) = true,
inference(step,[status(thm)],[t271,t12806]) ).
cnf(t13866,plain,
ifeq(cong(X1,X4,X3,X4),true,perp(X1,X3,X2,X4),true) = true,
inference(step,[status(thm)],[t13865,t256]) ).
cnf(t13867,plain,
ifeq(true,true,perp(X1,X3,X2,X4),true) = true,
inference(step,[status(thm)],[t13866,t12806]) ).
cnf(t13868,plain,
perp(X1,X3,X2,X4) = true,
inference(step,[status(thm)],[t13867,t256]) ).
cnf(t12816,plain,
perp(X1,X3,X2,X4) = true,
inference(rw,[status(thm)],[t13868]) ).
cnf(t12817,plain,
perp(X1,X2,X3,X4) = true,
inference(orient,[status(thm)],[t12816]) ).
cnf(c120,plain,
~ perp(sk23,sk24,sk24,sk26),
inference(cnf_transformation,[status(esa)],[f94_sk]) ).
cnf(goal_0,negated_conjecture,
perp(sk23,sk24,sk24,sk26) != true,
inference(equality_encoding,[status(esa)],[c120]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t12817]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO608+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.07 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.17/5.46 % Computer : n006.cluster.edu
% 0.17/5.46 % Model : x86_64 x86_64
% 0.17/5.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.46 % Memory : 8046.5625MB
% 0.17/5.46 % OS : Linux 6.8.0-71-generic
% 0.17/5.46 % CPULimit : 300
% 0.17/5.46 % WCLimit : 300
% 0.17/5.46 % DateTime : Wed Sep 23 12:32:20 UTC 2026
% 0.17/5.47 % CPUTime :
% 0.17/5.47 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 140.37/23.28 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 140.37/23.28 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------