%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LCL249-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n017.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 02:01:33 PM UTC 2026
% Result : Unsatisfiable 151.11s 19.99s
% Output : Proof 151.11s
% Verified :
% Comments :
%------------------------------------------------------------------------------
cnf(t9,axiom,
sFlat0 = not(p),
introduced(definition) ).
cnf(t24,plain,
not(p) = sFlat0,
inference(orient,[status(thm)],[t9]) ).
cnf(t10,axiom,
sFlat1 = or(not(p),r),
introduced(definition) ).
cnf(t25532,plain,
sFlat1 = or(sFlat0,r),
inference(step,[status(thm)],[t10,t24]) ).
cnf(t32,plain,
or(sFlat0,r) = sFlat1,
inference(orient,[status(thm)],[t25532]) ).
cnf(t11,axiom,
sFlat2 = not(or(not(p),r)),
introduced(definition) ).
cnf(t23,plain,
not(or(not(p),r)) = sFlat2,
inference(orient,[status(thm)],[t11]) ).
cnf(t25522,plain,
not(or(sFlat0,r)) = sFlat2,
inference(step,[status(thm)],[t23,t24]) ).
cnf(t26,plain,
not(or(sFlat0,r)) = sFlat2,
inference(rw,[status(thm)],[t25522]) ).
cnf(t25539,plain,
not(sFlat1) = sFlat2,
inference(step,[status(thm)],[t26,t32]) ).
cnf(t96,plain,
not(sFlat1) = sFlat2,
inference(orient,[status(thm)],[t25539]) ).
cnf(t12,axiom,
sFlat3 = not(q),
introduced(definition) ).
cnf(t27,plain,
not(q) = sFlat3,
inference(orient,[status(thm)],[t12]) ).
cnf(t13,axiom,
sFlat4 = or(not(p),not(q)),
introduced(definition) ).
cnf(t25529,plain,
sFlat4 = or(sFlat0,not(q)),
inference(step,[status(thm)],[t13,t24]) ).
cnf(t25530,plain,
sFlat4 = or(sFlat0,sFlat3),
inference(step,[status(thm)],[t25529,t27]) ).
cnf(t30,plain,
or(sFlat0,sFlat3) = sFlat4,
inference(orient,[status(thm)],[t25530]) ).
cnf(t14,axiom,
sFlat5 = not(or(not(p),not(q))),
introduced(definition) ).
cnf(t21,plain,
not(or(not(p),not(q))) = sFlat5,
inference(orient,[status(thm)],[t14]) ).
cnf(t25521,plain,
not(or(sFlat0,not(q))) = sFlat5,
inference(step,[status(thm)],[t21,t24]) ).
cnf(t25,plain,
not(or(sFlat0,not(q))) = sFlat5,
inference(rw,[status(thm)],[t25521]) ).
cnf(t25542,plain,
not(or(sFlat0,sFlat3)) = sFlat5,
inference(step,[status(thm)],[t25,t27]) ).
cnf(t25543,plain,
not(sFlat4) = sFlat5,
inference(step,[status(thm)],[t25542,t30]) ).
cnf(t112,plain,
not(sFlat4) = sFlat5,
inference(orient,[status(thm)],[t25543]) ).
cnf(t15,axiom,
sFlat6 = not(not(or(not(p),not(q)))),
introduced(definition) ).
cnf(t20,plain,
not(not(or(not(p),not(q)))) = sFlat6,
inference(orient,[status(thm)],[t15]) ).
cnf(t25520,plain,
not(sFlat5) = sFlat6,
inference(step,[status(thm)],[t20,t21]) ).
cnf(t22,plain,
not(sFlat5) = sFlat6,
inference(rw,[status(thm)],[t25520]) ).
cnf(t89,plain,
not(sFlat5) = sFlat6,
inference(orient,[status(thm)],[t22]) ).
cnf(t16,axiom,
sFlat7 = or(not(not(or(not(p),not(q)))),r),
introduced(definition) ).
cnf(t25523,plain,
sFlat7 = or(not(not(or(sFlat0,not(q)))),r),
inference(step,[status(thm)],[t16,t24]) ).
cnf(t25524,plain,
sFlat7 = or(not(not(or(sFlat0,sFlat3))),r),
inference(step,[status(thm)],[t25523,t27]) ).
cnf(t28,plain,
or(not(not(or(sFlat0,sFlat3))),r) = sFlat7,
inference(orient,[status(thm)],[t25524]) ).
cnf(t25531,plain,
or(not(not(sFlat4)),r) = sFlat7,
inference(step,[status(thm)],[t28,t30]) ).
cnf(t31,plain,
or(not(not(sFlat4)),r) = sFlat7,
inference(rw,[status(thm)],[t25531]) ).
cnf(t25544,plain,
or(not(sFlat5),r) = sFlat7,
inference(step,[status(thm)],[t31,t112]) ).
cnf(t25545,plain,
or(sFlat6,r) = sFlat7,
inference(step,[status(thm)],[t25544,t89]) ).
cnf(t119,plain,
or(sFlat6,r) = sFlat7,
inference(orient,[status(thm)],[t25545]) ).
cnf(t17,axiom,
sFlat8 = or(not(or(not(p),r)),or(not(not(or(not(p),not(q)))),r)),
introduced(definition) ).
cnf(t25525,plain,
sFlat8 = or(not(or(sFlat0,r)),or(not(not(or(not(p),not(q)))),r)),
inference(step,[status(thm)],[t17,t24]) ).
cnf(t25526,plain,
sFlat8 = or(not(or(sFlat0,r)),or(not(not(or(sFlat0,not(q)))),r)),
inference(step,[status(thm)],[t25525,t24]) ).
cnf(t25527,plain,
sFlat8 = or(not(or(sFlat0,r)),or(not(not(or(sFlat0,sFlat3))),r)),
inference(step,[status(thm)],[t25526,t27]) ).
cnf(t25528,plain,
sFlat8 = or(not(or(sFlat0,r)),sFlat7),
inference(step,[status(thm)],[t25527,t28]) ).
cnf(t29,plain,
or(not(or(sFlat0,r)),sFlat7) = sFlat8,
inference(orient,[status(thm)],[t25528]) ).
cnf(t25533,plain,
or(not(sFlat1),sFlat7) = sFlat8,
inference(step,[status(thm)],[t29,t32]) ).
cnf(t33,plain,
or(not(sFlat1),sFlat7) = sFlat8,
inference(rw,[status(thm)],[t25533]) ).
cnf(t25541,plain,
or(sFlat2,sFlat7) = sFlat8,
inference(step,[status(thm)],[t33,t96]) ).
cnf(t104,plain,
or(sFlat2,sFlat7) = sFlat8,
inference(orient,[status(thm)],[t25541]) ).
cnf(t18,axiom,
sFlat9 = theorem(or(not(or(not(p),r)),or(not(not(or(not(p),not(q)))),r))),
introduced(definition) ).
cnf(t25534,plain,
sFlat9 = theorem(or(not(or(sFlat0,r)),or(not(not(or(not(p),not(q)))),r))),
inference(step,[status(thm)],[t18,t24]) ).
cnf(t25535,plain,
sFlat9 = theorem(or(not(sFlat1),or(not(not(or(not(p),not(q)))),r))),
inference(step,[status(thm)],[t25534,t32]) ).
cnf(t25536,plain,
sFlat9 = theorem(or(not(sFlat1),or(not(not(or(sFlat0,not(q)))),r))),
inference(step,[status(thm)],[t25535,t24]) ).
cnf(t25537,plain,
sFlat9 = theorem(or(not(sFlat1),or(not(not(or(sFlat0,sFlat3))),r))),
inference(step,[status(thm)],[t25536,t27]) ).
cnf(t25538,plain,
sFlat9 = theorem(or(not(sFlat1),or(not(not(sFlat4)),r))),
inference(step,[status(thm)],[t25537,t30]) ).
cnf(t83,plain,
theorem(or(not(sFlat1),or(not(not(sFlat4)),r))) = sFlat9,
inference(orient,[status(thm)],[t25538]) ).
cnf(t25540,plain,
theorem(or(sFlat2,or(not(not(sFlat4)),r))) = sFlat9,
inference(step,[status(thm)],[t83,t96]) ).
cnf(t103,plain,
theorem(or(sFlat2,or(not(not(sFlat4)),r))) = sFlat9,
inference(rw,[status(thm)],[t25540]) ).
cnf(t25571,plain,
theorem(or(sFlat2,or(not(sFlat5),r))) = sFlat9,
inference(step,[status(thm)],[t103,t112]) ).
cnf(t25572,plain,
theorem(or(sFlat2,or(sFlat6,r))) = sFlat9,
inference(step,[status(thm)],[t25571,t89]) ).
cnf(t25573,plain,
theorem(or(sFlat2,sFlat7)) = sFlat9,
inference(step,[status(thm)],[t25572,t119]) ).
cnf(t25574,plain,
theorem(sFlat8) = sFlat9,
inference(step,[status(thm)],[t25573,t104]) ).
cnf(t271,plain,
theorem(sFlat8) = sFlat9,
inference(orient,[status(thm)],[t25574]) ).
cnf(f6,axiom,
( ~ theorem(Y)
| ~ axiom(or(not(Y),X))
| theorem(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).
fof(f6_nnf,plain,
! [X,Y] :
( ~ theorem(Y)
| ~ axiom(or(not(Y),X))
| theorem(X) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X,Y] :
( ~ theorem(Y)
| ~ axiom(or(not(Y),X))
| theorem(X) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( ~ theorem(X1)
| ~ axiom(or(not(X1),X0))
| theorem(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(t7,plain,
ifeq(axiom(or(not(X1),X2)),true,ifeq(theorem(X1),true,theorem(X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(t63,plain,
ifeq(axiom(or(not(X1),X2)),true,ifeq(theorem(X1),true,theorem(X2),true),true) = true,
inference(orient,[status(thm)],[t7]) ).
cnf(f0,axiom,
axiom(or(not(or(A,A)),A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f0_nnf,plain,
! [A] : axiom(or(not(or(A,A)),A)),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [A] : axiom(or(not(or(A,A)),A)),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
axiom(or(not(or(X0,X0)),X0)),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(t2,plain,
axiom(or(not(or(X1,X1)),X1)) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t44,plain,
axiom(or(not(or(X1,X1)),X1)) = true,
inference(orient,[status(thm)],[t2]) ).
cnf(t68,plain,
true = ifeq(true,true,ifeq(theorem(or(X1,X1)),true,theorem(X1),true),true),
inference(cp,[status(thm)],[t63,t44]) ).
cnf(t0,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t19,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t0]) ).
cnf(t25590,plain,
true = ifeq(theorem(or(X1,X1)),true,theorem(X1),true),
inference(step,[status(thm)],[t68,t19]) ).
cnf(t407,plain,
ifeq(theorem(or(X1,X1)),true,theorem(X1),true) = true,
inference(orient,[status(thm)],[t25590]) ).
cnf(f3,axiom,
axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f3_nnf,plain,
! [A,B,C] : axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [A,B,C] : axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t5,plain,
axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(t45,plain,
axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))) = true,
inference(orient,[status(thm)],[t5]) ).
cnf(t66,plain,
true = ifeq(true,true,ifeq(theorem(or(X1,or(X2,X3))),true,theorem(or(X2,or(X1,X3))),true),true),
inference(cp,[status(thm)],[t63,t45]) ).
cnf(t26048,plain,
true = ifeq(theorem(or(X1,or(X2,X3))),true,theorem(or(X2,or(X1,X3))),true),
inference(step,[status(thm)],[t66,t19]) ).
cnf(t2797,plain,
ifeq(theorem(or(X1,or(X2,X3))),true,theorem(or(X2,or(X1,X3))),true) = true,
inference(orient,[status(thm)],[t26048]) ).
cnf(f1,axiom,
axiom(or(not(A),or(B,A))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f1_nnf,plain,
! [A,B] : axiom(or(not(A),or(B,A))),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [A,B] : axiom(or(not(A),or(B,A))),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
axiom(or(not(X0),or(X1,X0))),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(t1,plain,
axiom(or(not(X1),or(X2,X1))) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(t34,plain,
axiom(or(not(X1),or(X2,X1))) = true,
inference(orient,[status(thm)],[t1]) ).
cnf(t64,plain,
true = ifeq(true,true,ifeq(theorem(X1),true,theorem(or(X2,X1)),true),true),
inference(cp,[status(thm)],[t63,t34]) ).
cnf(t25577,plain,
true = ifeq(theorem(X1),true,theorem(or(X2,X1)),true),
inference(step,[status(thm)],[t64,t19]) ).
cnf(t283,plain,
ifeq(theorem(X1),true,theorem(or(X2,X1)),true) = true,
inference(orient,[status(thm)],[t25577]) ).
cnf(f2,axiom,
axiom(or(not(or(A,B)),or(B,A))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f2_nnf,plain,
! [A,B] : axiom(or(not(or(A,B)),or(B,A))),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [A,B] : axiom(or(not(or(A,B)),or(B,A))),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(t4,plain,
axiom(or(not(or(X1,X2)),or(X2,X1))) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(t39,plain,
axiom(or(not(or(X1,X2)),or(X2,X1))) = true,
inference(orient,[status(thm)],[t4]) ).
cnf(t67,plain,
true = ifeq(true,true,ifeq(theorem(or(X1,X2)),true,theorem(or(X2,X1)),true),true),
inference(cp,[status(thm)],[t63,t39]) ).
cnf(t25624,plain,
true = ifeq(theorem(or(X1,X2)),true,theorem(or(X2,X1)),true),
inference(step,[status(thm)],[t67,t19]) ).
cnf(t583,plain,
ifeq(theorem(or(X1,X2)),true,theorem(or(X2,X1)),true) = true,
inference(orient,[status(thm)],[t25624]) ).
cnf(f7,axiom,
( ~ theorem(or(not(Y),Z))
| ~ axiom(or(not(X),Y))
| theorem(or(not(X),Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_3) ).
fof(f7_nnf,plain,
! [X,Z,Y] :
( ~ theorem(or(not(Y),Z))
| ~ axiom(or(not(X),Y))
| theorem(or(not(X),Z)) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X,Z,Y] :
( ~ theorem(or(not(Y),Z))
| ~ axiom(or(not(X),Y))
| theorem(or(not(X),Z)) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( ~ theorem(or(not(X2),X1))
| ~ axiom(or(not(X0),X2))
| theorem(or(not(X0),X1)) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(t8,plain,
ifeq(axiom(or(not(X1),X2)),true,ifeq(theorem(or(not(X2),X3)),true,theorem(or(not(X1),X3)),true),true) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(t71,plain,
ifeq(axiom(or(not(X1),X2)),true,ifeq(theorem(or(not(X2),X3)),true,theorem(or(not(X1),X3)),true),true) = true,
inference(orient,[status(thm)],[t8]) ).
cnf(t75,plain,
true = ifeq(true,true,ifeq(theorem(or(not(or(X1,X2)),X3)),true,theorem(or(not(or(X2,X1)),X3)),true),true),
inference(cp,[status(thm)],[t71,t39]) ).
cnf(t26334,plain,
true = ifeq(theorem(or(not(or(X1,X2)),X3)),true,theorem(or(not(or(X2,X1)),X3)),true),
inference(step,[status(thm)],[t75,t19]) ).
cnf(t4646,plain,
ifeq(theorem(or(not(or(X1,X2)),X3)),true,theorem(or(not(or(X2,X1)),X3)),true) = true,
inference(orient,[status(thm)],[t26334]) ).
cnf(f4,axiom,
axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f4_nnf,plain,
! [A,B,C] : axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [A,B,C] : axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(t6,plain,
axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(t50,plain,
axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))) = true,
inference(orient,[status(thm)],[t6]) ).
cnf(t65,plain,
true = ifeq(true,true,ifeq(theorem(or(not(X1),X2)),true,theorem(or(not(or(X3,X1)),or(X3,X2))),true),true),
inference(cp,[status(thm)],[t63,t50]) ).
cnf(t26001,plain,
true = ifeq(theorem(or(not(X1),X2)),true,theorem(or(not(or(X3,X1)),or(X3,X2))),true),
inference(step,[status(thm)],[t65,t19]) ).
cnf(t2394,plain,
ifeq(theorem(or(not(X1),X2)),true,theorem(or(not(or(X3,X1)),or(X3,X2))),true) = true,
inference(orient,[status(thm)],[t26001]) ).
cnf(t72,plain,
true = ifeq(true,true,ifeq(theorem(or(not(or(X1,X2)),X3)),true,theorem(or(not(X2),X3)),true),true),
inference(cp,[status(thm)],[t71,t34]) ).
cnf(t26194,plain,
true = ifeq(theorem(or(not(or(X1,X2)),X3)),true,theorem(or(not(X2),X3)),true),
inference(step,[status(thm)],[t72,t19]) ).
cnf(t3780,plain,
ifeq(theorem(or(not(or(X1,X2)),X3)),true,theorem(or(not(X2),X3)),true) = true,
inference(orient,[status(thm)],[t26194]) ).
cnf(t42,plain,
true = axiom(or(not(or(sFlat3,sFlat0)),sFlat4)),
inference(cp,[status(thm)],[t39,t30]) ).
cnf(t198,plain,
axiom(or(not(or(sFlat3,sFlat0)),sFlat4)) = true,
inference(orient,[status(thm)],[t42]) ).
cnf(t201,plain,
true = ifeq(true,true,ifeq(theorem(or(not(sFlat4),X1)),true,theorem(or(not(or(sFlat3,sFlat0)),X1)),true),true),
inference(cp,[status(thm)],[t71,t198]) ).
cnf(t28279,plain,
true = ifeq(theorem(or(not(sFlat4),X1)),true,theorem(or(not(or(sFlat3,sFlat0)),X1)),true),
inference(step,[status(thm)],[t201,t19]) ).
cnf(t28280,plain,
true = ifeq(theorem(or(sFlat5,X1)),true,theorem(or(not(or(sFlat3,sFlat0)),X1)),true),
inference(step,[status(thm)],[t28279,t112]) ).
cnf(t17518,plain,
ifeq(theorem(or(sFlat5,X1)),true,theorem(or(not(or(sFlat3,sFlat0)),X1)),true) = true,
inference(orient,[status(thm)],[t28280]) ).
cnf(f5,axiom,
( ~ axiom(X)
| theorem(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f5_nnf,plain,
! [X] :
( ~ axiom(X)
| theorem(X) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X] :
( ~ axiom(X)
| theorem(X) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( ~ axiom(X0)
| theorem(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(t3,plain,
ifeq(axiom(X1),true,theorem(X1),true) = true,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(t57,plain,
ifeq(axiom(X1),true,theorem(X1),true) = true,
inference(orient,[status(thm)],[t3]) ).
cnf(t61,plain,
true = ifeq(true,true,theorem(or(not(or(X1,X2)),or(X2,X1))),true),
inference(cp,[status(thm)],[t57,t39]) ).
cnf(t25576,plain,
true = theorem(or(not(or(X1,X2)),or(X2,X1))),
inference(step,[status(thm)],[t61,t19]) ).
cnf(t278,plain,
theorem(or(not(or(X1,X2)),or(X2,X1))) = true,
inference(orient,[status(thm)],[t25576]) ).
cnf(t3781,plain,
true = ifeq(true,true,theorem(or(not(X1),or(X1,X2))),true),
inference(cp,[status(thm)],[t3780,t278]) ).
cnf(t26203,plain,
true = theorem(or(not(X1),or(X1,X2))),
inference(step,[status(thm)],[t3781,t19]) ).
cnf(t3842,plain,
theorem(or(not(X1),or(X1,X2))) = true,
inference(orient,[status(thm)],[t26203]) ).
cnf(t3845,plain,
true = theorem(or(sFlat6,or(sFlat5,X1))),
inference(cp,[status(thm)],[t3842,t89]) ).
cnf(t3865,plain,
theorem(or(sFlat6,or(sFlat5,X1))) = true,
inference(orient,[status(thm)],[t3845]) ).
cnf(t3868,plain,
true = ifeq(true,true,theorem(or(sFlat5,or(sFlat6,X1))),true),
inference(cp,[status(thm)],[t2797,t3865]) ).
cnf(t26210,plain,
true = theorem(or(sFlat5,or(sFlat6,X1))),
inference(step,[status(thm)],[t3868,t19]) ).
cnf(t3912,plain,
theorem(or(sFlat5,or(sFlat6,X1))) = true,
inference(orient,[status(thm)],[t26210]) ).
cnf(t3913,plain,
true = theorem(or(sFlat5,sFlat7)),
inference(cp,[status(thm)],[t3912,t119]) ).
cnf(t3917,plain,
theorem(or(sFlat5,sFlat7)) = true,
inference(orient,[status(thm)],[t3913]) ).
cnf(t17533,plain,
true = ifeq(true,true,theorem(or(not(or(sFlat3,sFlat0)),sFlat7)),true),
inference(cp,[status(thm)],[t17518,t3917]) ).
cnf(t28284,plain,
true = theorem(or(not(or(sFlat3,sFlat0)),sFlat7)),
inference(step,[status(thm)],[t17533,t19]) ).
cnf(t17602,plain,
theorem(or(not(or(sFlat3,sFlat0)),sFlat7)) = true,
inference(orient,[status(thm)],[t28284]) ).
cnf(t17611,plain,
true = ifeq(true,true,theorem(or(not(sFlat0),sFlat7)),true),
inference(cp,[status(thm)],[t3780,t17602]) ).
cnf(t28285,plain,
true = theorem(or(not(sFlat0),sFlat7)),
inference(step,[status(thm)],[t17611,t19]) ).
cnf(t17614,plain,
theorem(or(not(sFlat0),sFlat7)) = true,
inference(orient,[status(thm)],[t28285]) ).
cnf(t17623,plain,
true = ifeq(true,true,theorem(or(not(or(X1,sFlat0)),or(X1,sFlat7))),true),
inference(cp,[status(thm)],[t2394,t17614]) ).
cnf(t28360,plain,
true = theorem(or(not(or(X1,sFlat0)),or(X1,sFlat7))),
inference(step,[status(thm)],[t17623,t19]) ).
cnf(t18180,plain,
theorem(or(not(or(X1,sFlat0)),or(X1,sFlat7))) = true,
inference(orient,[status(thm)],[t28360]) ).
cnf(t18191,plain,
true = ifeq(true,true,theorem(or(not(or(sFlat0,X1)),or(X1,sFlat7))),true),
inference(cp,[status(thm)],[t4646,t18180]) ).
cnf(t28534,plain,
true = theorem(or(not(or(sFlat0,X1)),or(X1,sFlat7))),
inference(step,[status(thm)],[t18191,t19]) ).
cnf(t19349,plain,
theorem(or(not(or(sFlat0,X1)),or(X1,sFlat7))) = true,
inference(orient,[status(thm)],[t28534]) ).
cnf(t19350,plain,
true = theorem(or(not(sFlat1),or(r,sFlat7))),
inference(cp,[status(thm)],[t19349,t32]) ).
cnf(t28535,plain,
true = theorem(or(sFlat2,or(r,sFlat7))),
inference(step,[status(thm)],[t19350,t96]) ).
cnf(t19363,plain,
theorem(or(sFlat2,or(r,sFlat7))) = true,
inference(orient,[status(thm)],[t28535]) ).
cnf(t19366,plain,
true = ifeq(true,true,theorem(or(r,or(sFlat2,sFlat7))),true),
inference(cp,[status(thm)],[t2797,t19363]) ).
cnf(t28536,plain,
true = theorem(or(r,or(sFlat2,sFlat7))),
inference(step,[status(thm)],[t19366,t19]) ).
cnf(t28537,plain,
true = theorem(or(r,sFlat8)),
inference(step,[status(thm)],[t28536,t104]) ).
cnf(t19369,plain,
theorem(or(r,sFlat8)) = true,
inference(orient,[status(thm)],[t28537]) ).
cnf(t19371,plain,
true = ifeq(true,true,theorem(or(sFlat8,r)),true),
inference(cp,[status(thm)],[t583,t19369]) ).
cnf(t28538,plain,
true = theorem(or(sFlat8,r)),
inference(step,[status(thm)],[t19371,t19]) ).
cnf(t19374,plain,
theorem(or(sFlat8,r)) = true,
inference(orient,[status(thm)],[t28538]) ).
cnf(t19376,plain,
true = ifeq(true,true,theorem(or(X1,or(sFlat8,r))),true),
inference(cp,[status(thm)],[t283,t19374]) ).
cnf(t28541,plain,
true = theorem(or(X1,or(sFlat8,r))),
inference(step,[status(thm)],[t19376,t19]) ).
cnf(t19389,plain,
theorem(or(X1,or(sFlat8,r))) = true,
inference(orient,[status(thm)],[t28541]) ).
cnf(t19393,plain,
true = ifeq(true,true,theorem(or(sFlat8,or(X1,r))),true),
inference(cp,[status(thm)],[t2797,t19389]) ).
cnf(t28545,plain,
true = theorem(or(sFlat8,or(X1,r))),
inference(step,[status(thm)],[t19393,t19]) ).
cnf(t19411,plain,
theorem(or(sFlat8,or(X1,r))) = true,
inference(orient,[status(thm)],[t28545]) ).
cnf(t19412,plain,
true = theorem(or(sFlat8,sFlat7)),
inference(cp,[status(thm)],[t19411,t119]) ).
cnf(t19417,plain,
theorem(or(sFlat8,sFlat7)) = true,
inference(orient,[status(thm)],[t19412]) ).
cnf(t19420,plain,
true = ifeq(true,true,theorem(or(X1,or(sFlat8,sFlat7))),true),
inference(cp,[status(thm)],[t283,t19417]) ).
cnf(t28549,plain,
true = theorem(or(X1,or(sFlat8,sFlat7))),
inference(step,[status(thm)],[t19420,t19]) ).
cnf(t19434,plain,
theorem(or(X1,or(sFlat8,sFlat7))) = true,
inference(orient,[status(thm)],[t28549]) ).
cnf(t19438,plain,
true = ifeq(true,true,theorem(or(sFlat8,or(X1,sFlat7))),true),
inference(cp,[status(thm)],[t2797,t19434]) ).
cnf(t28552,plain,
true = theorem(or(sFlat8,or(X1,sFlat7))),
inference(step,[status(thm)],[t19438,t19]) ).
cnf(t19453,plain,
theorem(or(sFlat8,or(X1,sFlat7))) = true,
inference(orient,[status(thm)],[t28552]) ).
cnf(t19454,plain,
true = theorem(or(sFlat8,sFlat8)),
inference(cp,[status(thm)],[t19453,t104]) ).
cnf(t19459,plain,
theorem(or(sFlat8,sFlat8)) = true,
inference(orient,[status(thm)],[t19454]) ).
cnf(t19461,plain,
true = ifeq(true,true,theorem(sFlat8),true),
inference(cp,[status(thm)],[t407,t19459]) ).
cnf(t28555,plain,
true = theorem(sFlat8),
inference(step,[status(thm)],[t19461,t19]) ).
cnf(t28556,plain,
true = sFlat9,
inference(step,[status(thm)],[t28555,t271]) ).
cnf(t19465,plain,
true = sFlat9,
inference(orient,[status(thm)],[t28556]) ).
cnf(f8,negated_conjecture,
~ theorem(or(not(or(not(p),r)),or(not(not(or(not(p),not(q)))),r))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f8_nnf,plain,
~ theorem(or(not(or(not(p),r)),or(not(not(or(not(p),not(q)))),r))),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
~ theorem(or(not(or(not(p),r)),or(not(not(or(not(p),not(q)))),r))),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
~ theorem(or(not(or(not(p),r)),or(not(not(or(not(p),not(q)))),r))),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(goal_0,negated_conjecture,
theorem(or(not(or(not(p),r)),or(not(not(or(not(p),not(q)))),r))) != true,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(g0_0,plain,
theorem(or(not(or(sFlat0,r)),or(not(not(or(not(p),not(q)))),r))) != true,
inference(rw,[status(thm)],[goal_0,t24]) ).
cnf(g0_1,plain,
theorem(or(not(sFlat1),or(not(not(or(not(p),not(q)))),r))) != true,
inference(rw,[status(thm)],[g0_0,t32]) ).
cnf(g0_2,plain,
theorem(or(sFlat2,or(not(not(or(not(p),not(q)))),r))) != true,
inference(rw,[status(thm)],[g0_1,t96]) ).
cnf(g0_3,plain,
theorem(or(sFlat2,or(not(not(or(sFlat0,not(q)))),r))) != true,
inference(rw,[status(thm)],[g0_2,t24]) ).
cnf(g0_4,plain,
theorem(or(sFlat2,or(not(not(or(sFlat0,sFlat3))),r))) != true,
inference(rw,[status(thm)],[g0_3,t27]) ).
cnf(g0_5,plain,
theorem(or(sFlat2,or(not(not(sFlat4)),r))) != true,
inference(rw,[status(thm)],[g0_4,t30]) ).
cnf(g0_6,plain,
theorem(or(sFlat2,or(not(sFlat5),r))) != true,
inference(rw,[status(thm)],[g0_5,t112]) ).
cnf(g0_7,plain,
theorem(or(sFlat2,or(sFlat6,r))) != true,
inference(rw,[status(thm)],[g0_6,t89]) ).
cnf(g0_8,plain,
theorem(or(sFlat2,sFlat7)) != true,
inference(rw,[status(thm)],[g0_7,t119]) ).
cnf(g0_9,plain,
theorem(sFlat8) != true,
inference(rw,[status(thm)],[g0_8,t104]) ).
cnf(g0_10,plain,
sFlat9 != true,
inference(rw,[status(thm)],[g0_9,t271]) ).
cnf(g0_11,plain,
sFlat9 != sFlat9,
inference(rw,[status(thm)],[g0_10,t19465]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL249-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.05 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.38 % Computer : n017.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Wed Sep 23 22:31:00 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 151.11/19.99 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 151.11/19.99 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------