%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWC220-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n015.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 03:05:43 PM UTC 2026
% Result : Unsatisfiable 72.51s 14.94s
% Output : Proof 72.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 31
% Syntax : Number of formulae : 220 ( 136 unt; 0 def)
% Number of atoms : 480 ( 203 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 562 ( 302 ~; 260 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-4 aty)
% Number of variables : 237 ( 2 sgn 86 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f201,negated_conjecture,
( ~ leq(sk6,A)
| ~ memberP(sk8,A)
| ~ memberP(sk7,A)
| leq(A,sk6)
| ~ ssItem(A)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
fof(f201_nnf,plain,
! [A] :
( ~ leq(sk6,A)
| ~ memberP(sk8,A)
| ~ memberP(sk7,A)
| leq(A,sk6)
| ~ ssItem(A)
| nil = sk3 ),
inference(nnf_transformation,[status(thm)],[f201]) ).
fof(f201_sk,plain,
! [A] :
( ~ leq(sk6,A)
| ~ memberP(sk8,A)
| ~ memberP(sk7,A)
| leq(A,sk6)
| ~ ssItem(A)
| nil = sk3 ),
inference(skolemisation,[status(esa)],[f201_nnf]) ).
cnf(c201,plain,
( ~ leq(sk6,X0)
| ~ memberP(sk8,X0)
| ~ memberP(sk7,X0)
| leq(X0,sk6)
| ~ ssItem(X0)
| nil = sk3 ),
inference(cnf_transformation,[status(esa)],[f201_sk]) ).
cnf(t202,plain,
ifeq(ssItem(X1),true,ifeq(memberP(sk7,X1),true,ifeq(memberP(sk8,X1),true,ifeq(leq(sk6,X1),true,or(eq(nil,sk3),leq(X1,sk6)),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c201]) ).
cnf(f191,negated_conjecture,
nil != sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f191_nnf,plain,
nil != sk1,
inference(nnf_transformation,[status(thm)],[f191]) ).
fof(f191_sk,plain,
nil != sk1,
inference(skolemisation,[status(esa)],[f191_nnf]) ).
cnf(c191,plain,
nil != sk1,
inference(cnf_transformation,[status(esa)],[f191_sk]) ).
cnf(t20,plain,
eq(nil,sk1) = false,
inference(equality_encoding,[status(esa)],[c191]) ).
cnf(f190,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f190_nnf,plain,
sk1 = sk3,
inference(nnf_transformation,[status(thm)],[f190]) ).
cnf(c190,plain,
sk1 = sk3,
inference(cnf_transformation,[status(esa)],[f190_nnf]) ).
cnf(t0,plain,
sk3 = sk1,
inference(equality_encoding,[status(esa)],[c190]) ).
cnf(t227,plain,
sk1 = sk3,
inference(orient,[status(thm)],[t0]) ).
cnf(t11952,plain,
eq(nil,sk3) = false,
inference(step,[status(thm)],[t20,t227]) ).
cnf(t245,plain,
eq(nil,sk3) = false,
inference(orient,[status(thm)],[t11952]) ).
cnf(t14583,plain,
ifeq(ssItem(X1),true,ifeq(memberP(sk7,X1),true,ifeq(memberP(sk8,X1),true,ifeq(leq(sk6,X1),true,or(false,leq(X1,sk6)),true),true),true),true) = true,
inference(step,[status(thm)],[t202,t245]) ).
cnf(t24,plain,
or(false,X1) = X1,
introduced(definition) ).
cnf(t249,plain,
or(false,X1) = X1,
inference(orient,[status(thm)],[t24]) ).
cnf(t14584,plain,
ifeq(ssItem(X1),true,ifeq(memberP(sk7,X1),true,ifeq(memberP(sk8,X1),true,ifeq(leq(sk6,X1),true,leq(X1,sk6),true),true),true),true) = true,
inference(step,[status(thm)],[t14583,t249]) ).
cnf(t10655,plain,
ifeq(ssItem(X1),true,ifeq(memberP(sk7,X1),true,ifeq(memberP(sk8,X1),true,ifeq(leq(sk6,X1),true,leq(X1,sk6),true),true),true),true) = true,
inference(orient,[status(thm)],[t14584]) ).
cnf(f194,negated_conjecture,
( memberP(C,sk5(C,B,A))
| app(app(B,cons(A,nil)),C) != sk1
| ~ ssList(C)
| ~ ssList(B)
| ~ ssItem(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f194_nnf,plain,
! [A,B,C] :
( memberP(C,sk5(C,B,A))
| app(app(B,cons(A,nil)),C) != sk1
| ~ ssList(C)
| ~ ssList(B)
| ~ ssItem(A) ),
inference(nnf_transformation,[status(thm)],[f194]) ).
fof(f194_sk,plain,
! [A,B,C] :
( memberP(C,sk5(C,B,A))
| app(app(B,cons(A,nil)),C) != sk1
| ~ ssList(C)
| ~ ssList(B)
| ~ ssItem(A) ),
inference(skolemisation,[status(esa)],[f194_nnf]) ).
cnf(c194,plain,
( memberP(X2,sk5(X2,X1,X0))
| app(app(X1,cons(X0,nil)),X2) != sk1
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(esa)],[f194_sk]) ).
cnf(t210,plain,
ifeq(ssItem(X1),true,ifeq(ssList(X2),true,ifeq(ssList(X3),true,ifeq(app(app(X2,cons(X1,nil)),X3),sk1,memberP(X3,sk5(X3,X2,X1)),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c194]) ).
cnf(t15016,plain,
ifeq(ssItem(X1),true,ifeq(ssList(X2),true,ifeq(ssList(X3),true,ifeq(app(app(X2,cons(X1,nil)),X3),sk3,memberP(X3,sk5(X3,X2,X1)),true),true),true),true) = true,
inference(step,[status(thm)],[t210,t227]) ).
cnf(t11733,plain,
ifeq(ssItem(X1),true,ifeq(ssList(X2),true,ifeq(ssList(X3),true,ifeq(app(app(X2,cons(X1,nil)),X3),sk3,memberP(X3,sk5(X3,X2,X1)),true),true),true),true) = true,
inference(orient,[status(thm)],[t15016]) ).
cnf(t76,plain,
ifeq(eq(X1,X2),true,X1,X2) = X2,
introduced(definition) ).
cnf(t303,plain,
ifeq(eq(X1,X2),true,X1,X2) = X2,
inference(orient,[status(thm)],[t76]) ).
cnf(f200,negated_conjecture,
( app(app(sk7,cons(sk6,nil)),sk8) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f200_nnf,plain,
( app(app(sk7,cons(sk6,nil)),sk8) = sk3
| nil = sk3 ),
inference(nnf_transformation,[status(thm)],[f200]) ).
fof(f200_sk,plain,
( app(app(sk7,cons(sk6,nil)),sk8) = sk3
| nil = sk3 ),
inference(skolemisation,[status(esa)],[f200_nnf]) ).
cnf(c200,plain,
( app(app(sk7,cons(sk6,nil)),sk8) = sk3
| nil = sk3 ),
inference(cnf_transformation,[status(esa)],[f200_sk]) ).
cnf(t112,plain,
or(eq(nil,sk3),eq(app(app(sk7,cons(sk6,nil)),sk8),sk3)) = true,
inference(equality_encoding,[status(esa)],[c200]) ).
cnf(t12311,plain,
or(false,eq(app(app(sk7,cons(sk6,nil)),sk8),sk3)) = true,
inference(step,[status(thm)],[t112,t245]) ).
cnf(t12312,plain,
eq(app(app(sk7,cons(sk6,nil)),sk8),sk3) = true,
inference(step,[status(thm)],[t12311,t249]) ).
cnf(t1593,plain,
eq(app(app(sk7,cons(sk6,nil)),sk8),sk3) = true,
inference(orient,[status(thm)],[t12312]) ).
cnf(t1594,plain,
sk3 = ifeq(true,true,app(app(sk7,cons(sk6,nil)),sk8),sk3),
inference(cp,[status(thm)],[t303,t1593]) ).
cnf(t68,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t293,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t68]) ).
cnf(t12708,plain,
sk3 = app(app(sk7,cons(sk6,nil)),sk8),
inference(step,[status(thm)],[t1594,t293]) ).
cnf(t3480,plain,
app(app(sk7,cons(sk6,nil)),sk8) = sk3,
inference(orient,[status(thm)],[t12708]) ).
cnf(t11818,plain,
true = ifeq(ssItem(sk6),true,ifeq(ssList(sk7),true,ifeq(ssList(sk8),true,ifeq(sk3,sk3,memberP(sk8,sk5(sk8,sk7,sk6)),true),true),true),true),
inference(cp,[status(thm)],[t11733,t3480]) ).
cnf(f197,negated_conjecture,
( ssItem(sk6)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f197_nnf,plain,
( ssItem(sk6)
| nil = sk3 ),
inference(nnf_transformation,[status(thm)],[f197]) ).
fof(f197_sk,plain,
( ssItem(sk6)
| nil = sk3 ),
inference(skolemisation,[status(esa)],[f197_nnf]) ).
cnf(c197,plain,
( ssItem(sk6)
| nil = sk3 ),
inference(cnf_transformation,[status(esa)],[f197_sk]) ).
cnf(t73,plain,
or(eq(nil,sk3),ssItem(sk6)) = true,
inference(equality_encoding,[status(esa)],[c197]) ).
cnf(t11955,plain,
or(false,ssItem(sk6)) = true,
inference(step,[status(thm)],[t73,t245]) ).
cnf(t11956,plain,
ssItem(sk6) = true,
inference(step,[status(thm)],[t11955,t249]) ).
cnf(t300,plain,
ssItem(sk6) = true,
inference(orient,[status(thm)],[t11956]) ).
cnf(t15017,plain,
true = ifeq(true,true,ifeq(ssList(sk7),true,ifeq(ssList(sk8),true,ifeq(sk3,sk3,memberP(sk8,sk5(sk8,sk7,sk6)),true),true),true),true),
inference(step,[status(thm)],[t11818,t300]) ).
cnf(t15018,plain,
true = ifeq(ssList(sk7),true,ifeq(ssList(sk8),true,ifeq(sk3,sk3,memberP(sk8,sk5(sk8,sk7,sk6)),true),true),true),
inference(step,[status(thm)],[t15017,t293]) ).
cnf(f198,negated_conjecture,
( ssList(sk7)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f198_nnf,plain,
( ssList(sk7)
| nil = sk3 ),
inference(nnf_transformation,[status(thm)],[f198]) ).
fof(f198_sk,plain,
( ssList(sk7)
| nil = sk3 ),
inference(skolemisation,[status(esa)],[f198_nnf]) ).
cnf(c198,plain,
( ssList(sk7)
| nil = sk3 ),
inference(cnf_transformation,[status(esa)],[f198_sk]) ).
cnf(t74,plain,
or(eq(nil,sk3),ssList(sk7)) = true,
inference(equality_encoding,[status(esa)],[c198]) ).
cnf(t11957,plain,
or(false,ssList(sk7)) = true,
inference(step,[status(thm)],[t74,t245]) ).
cnf(t11958,plain,
ssList(sk7) = true,
inference(step,[status(thm)],[t11957,t249]) ).
cnf(t301,plain,
ssList(sk7) = true,
inference(orient,[status(thm)],[t11958]) ).
cnf(t15019,plain,
true = ifeq(true,true,ifeq(ssList(sk8),true,ifeq(sk3,sk3,memberP(sk8,sk5(sk8,sk7,sk6)),true),true),true),
inference(step,[status(thm)],[t15018,t301]) ).
cnf(t15020,plain,
true = ifeq(ssList(sk8),true,ifeq(sk3,sk3,memberP(sk8,sk5(sk8,sk7,sk6)),true),true),
inference(step,[status(thm)],[t15019,t293]) ).
cnf(f199,negated_conjecture,
( ssList(sk8)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f199_nnf,plain,
( ssList(sk8)
| nil = sk3 ),
inference(nnf_transformation,[status(thm)],[f199]) ).
fof(f199_sk,plain,
( ssList(sk8)
| nil = sk3 ),
inference(skolemisation,[status(esa)],[f199_nnf]) ).
cnf(c199,plain,
( ssList(sk8)
| nil = sk3 ),
inference(cnf_transformation,[status(esa)],[f199_sk]) ).
cnf(t75,plain,
or(eq(nil,sk3),ssList(sk8)) = true,
inference(equality_encoding,[status(esa)],[c199]) ).
cnf(t11959,plain,
or(false,ssList(sk8)) = true,
inference(step,[status(thm)],[t75,t245]) ).
cnf(t11960,plain,
ssList(sk8) = true,
inference(step,[status(thm)],[t11959,t249]) ).
cnf(t302,plain,
ssList(sk8) = true,
inference(orient,[status(thm)],[t11960]) ).
cnf(t15021,plain,
true = ifeq(true,true,ifeq(sk3,sk3,memberP(sk8,sk5(sk8,sk7,sk6)),true),true),
inference(step,[status(thm)],[t15020,t302]) ).
cnf(t15022,plain,
true = ifeq(sk3,sk3,memberP(sk8,sk5(sk8,sk7,sk6)),true),
inference(step,[status(thm)],[t15021,t293]) ).
cnf(t15023,plain,
true = memberP(sk8,sk5(sk8,sk7,sk6)),
inference(step,[status(thm)],[t15022,t293]) ).
cnf(t11820,plain,
memberP(sk8,sk5(sk8,sk7,sk6)) = true,
inference(orient,[status(thm)],[t15023]) ).
cnf(t11828,plain,
true = ifeq(ssItem(sk5(sk8,sk7,sk6)),true,ifeq(memberP(sk7,sk5(sk8,sk7,sk6)),true,ifeq(true,true,ifeq(leq(sk6,sk5(sk8,sk7,sk6)),true,leq(sk5(sk8,sk7,sk6),sk6),true),true),true),true),
inference(cp,[status(thm)],[t10655,t11820]) ).
cnf(f192,negated_conjecture,
( ssItem(sk5(C,B,A))
| app(app(B,cons(A,nil)),C) != sk1
| ~ ssList(C)
| ~ ssList(B)
| ~ ssItem(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f192_nnf,plain,
! [A,B,C] :
( ssItem(sk5(C,B,A))
| app(app(B,cons(A,nil)),C) != sk1
| ~ ssList(C)
| ~ ssList(B)
| ~ ssItem(A) ),
inference(nnf_transformation,[status(thm)],[f192]) ).
fof(f192_sk,plain,
! [A,B,C] :
( ssItem(sk5(C,B,A))
| app(app(B,cons(A,nil)),C) != sk1
| ~ ssList(C)
| ~ ssList(B)
| ~ ssItem(A) ),
inference(skolemisation,[status(esa)],[f192_nnf]) ).
cnf(c192,plain,
( ssItem(sk5(X2,X1,X0))
| app(app(X1,cons(X0,nil)),X2) != sk1
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(esa)],[f192_sk]) ).
cnf(t203,plain,
ifeq(ssItem(X1),true,ifeq(ssList(X2),true,ifeq(ssList(X3),true,ifeq(app(app(X2,cons(X1,nil)),X3),sk1,ssItem(sk5(X3,X2,X1)),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c192]) ).
cnf(t14645,plain,
ifeq(ssItem(X1),true,ifeq(ssList(X2),true,ifeq(ssList(X3),true,ifeq(app(app(X2,cons(X1,nil)),X3),sk3,ssItem(sk5(X3,X2,X1)),true),true),true),true) = true,
inference(step,[status(thm)],[t203,t227]) ).
cnf(t10684,plain,
ifeq(ssItem(X1),true,ifeq(ssList(X2),true,ifeq(ssList(X3),true,ifeq(app(app(X2,cons(X1,nil)),X3),sk3,ssItem(sk5(X3,X2,X1)),true),true),true),true) = true,
inference(orient,[status(thm)],[t14645]) ).
cnf(t10769,plain,
true = ifeq(ssItem(sk6),true,ifeq(ssList(sk7),true,ifeq(ssList(sk8),true,ifeq(sk3,sk3,ssItem(sk5(sk8,sk7,sk6)),true),true),true),true),
inference(cp,[status(thm)],[t10684,t3480]) ).
cnf(t14646,plain,
true = ifeq(true,true,ifeq(ssList(sk7),true,ifeq(ssList(sk8),true,ifeq(sk3,sk3,ssItem(sk5(sk8,sk7,sk6)),true),true),true),true),
inference(step,[status(thm)],[t10769,t300]) ).
cnf(t14647,plain,
true = ifeq(ssList(sk7),true,ifeq(ssList(sk8),true,ifeq(sk3,sk3,ssItem(sk5(sk8,sk7,sk6)),true),true),true),
inference(step,[status(thm)],[t14646,t293]) ).
cnf(t14648,plain,
true = ifeq(true,true,ifeq(ssList(sk8),true,ifeq(sk3,sk3,ssItem(sk5(sk8,sk7,sk6)),true),true),true),
inference(step,[status(thm)],[t14647,t301]) ).
cnf(t14649,plain,
true = ifeq(ssList(sk8),true,ifeq(sk3,sk3,ssItem(sk5(sk8,sk7,sk6)),true),true),
inference(step,[status(thm)],[t14648,t293]) ).
cnf(t14650,plain,
true = ifeq(true,true,ifeq(sk3,sk3,ssItem(sk5(sk8,sk7,sk6)),true),true),
inference(step,[status(thm)],[t14649,t302]) ).
cnf(t14651,plain,
true = ifeq(sk3,sk3,ssItem(sk5(sk8,sk7,sk6)),true),
inference(step,[status(thm)],[t14650,t293]) ).
cnf(t14652,plain,
true = ssItem(sk5(sk8,sk7,sk6)),
inference(step,[status(thm)],[t14651,t293]) ).
cnf(t10770,plain,
ssItem(sk5(sk8,sk7,sk6)) = true,
inference(orient,[status(thm)],[t14652]) ).
cnf(t15024,plain,
true = ifeq(true,true,ifeq(memberP(sk7,sk5(sk8,sk7,sk6)),true,ifeq(true,true,ifeq(leq(sk6,sk5(sk8,sk7,sk6)),true,leq(sk5(sk8,sk7,sk6),sk6),true),true),true),true),
inference(step,[status(thm)],[t11828,t10770]) ).
cnf(t15025,plain,
true = ifeq(memberP(sk7,sk5(sk8,sk7,sk6)),true,ifeq(true,true,ifeq(leq(sk6,sk5(sk8,sk7,sk6)),true,leq(sk5(sk8,sk7,sk6),sk6),true),true),true),
inference(step,[status(thm)],[t15024,t293]) ).
cnf(f193,negated_conjecture,
( memberP(B,sk5(C,B,A))
| app(app(B,cons(A,nil)),C) != sk1
| ~ ssList(C)
| ~ ssList(B)
| ~ ssItem(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f193_nnf,plain,
! [A,B,C] :
( memberP(B,sk5(C,B,A))
| app(app(B,cons(A,nil)),C) != sk1
| ~ ssList(C)
| ~ ssList(B)
| ~ ssItem(A) ),
inference(nnf_transformation,[status(thm)],[f193]) ).
fof(f193_sk,plain,
! [A,B,C] :
( memberP(B,sk5(C,B,A))
| app(app(B,cons(A,nil)),C) != sk1
| ~ ssList(C)
| ~ ssList(B)
| ~ ssItem(A) ),
inference(skolemisation,[status(esa)],[f193_nnf]) ).
cnf(c193,plain,
( memberP(X1,sk5(X2,X1,X0))
| app(app(X1,cons(X0,nil)),X2) != sk1
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(esa)],[f193_sk]) ).
cnf(t209,plain,
ifeq(ssItem(X1),true,ifeq(ssList(X2),true,ifeq(ssList(X3),true,ifeq(app(app(X2,cons(X1,nil)),X3),sk1,memberP(X2,sk5(X3,X2,X1)),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c193]) ).
cnf(t14954,plain,
ifeq(ssItem(X1),true,ifeq(ssList(X2),true,ifeq(ssList(X3),true,ifeq(app(app(X2,cons(X1,nil)),X3),sk3,memberP(X2,sk5(X3,X2,X1)),true),true),true),true) = true,
inference(step,[status(thm)],[t209,t227]) ).
cnf(t11627,plain,
ifeq(ssItem(X1),true,ifeq(ssList(X2),true,ifeq(ssList(X3),true,ifeq(app(app(X2,cons(X1,nil)),X3),sk3,memberP(X2,sk5(X3,X2,X1)),true),true),true),true) = true,
inference(orient,[status(thm)],[t14954]) ).
cnf(t11712,plain,
true = ifeq(ssItem(sk6),true,ifeq(ssList(sk7),true,ifeq(ssList(sk8),true,ifeq(sk3,sk3,memberP(sk7,sk5(sk8,sk7,sk6)),true),true),true),true),
inference(cp,[status(thm)],[t11627,t3480]) ).
cnf(t14955,plain,
true = ifeq(true,true,ifeq(ssList(sk7),true,ifeq(ssList(sk8),true,ifeq(sk3,sk3,memberP(sk7,sk5(sk8,sk7,sk6)),true),true),true),true),
inference(step,[status(thm)],[t11712,t300]) ).
cnf(t14956,plain,
true = ifeq(ssList(sk7),true,ifeq(ssList(sk8),true,ifeq(sk3,sk3,memberP(sk7,sk5(sk8,sk7,sk6)),true),true),true),
inference(step,[status(thm)],[t14955,t293]) ).
cnf(t14957,plain,
true = ifeq(true,true,ifeq(ssList(sk8),true,ifeq(sk3,sk3,memberP(sk7,sk5(sk8,sk7,sk6)),true),true),true),
inference(step,[status(thm)],[t14956,t301]) ).
cnf(t14958,plain,
true = ifeq(ssList(sk8),true,ifeq(sk3,sk3,memberP(sk7,sk5(sk8,sk7,sk6)),true),true),
inference(step,[status(thm)],[t14957,t293]) ).
cnf(t14959,plain,
true = ifeq(true,true,ifeq(sk3,sk3,memberP(sk7,sk5(sk8,sk7,sk6)),true),true),
inference(step,[status(thm)],[t14958,t302]) ).
cnf(t14960,plain,
true = ifeq(sk3,sk3,memberP(sk7,sk5(sk8,sk7,sk6)),true),
inference(step,[status(thm)],[t14959,t293]) ).
cnf(t14961,plain,
true = memberP(sk7,sk5(sk8,sk7,sk6)),
inference(step,[status(thm)],[t14960,t293]) ).
cnf(t11714,plain,
memberP(sk7,sk5(sk8,sk7,sk6)) = true,
inference(orient,[status(thm)],[t14961]) ).
cnf(t15026,plain,
true = ifeq(true,true,ifeq(true,true,ifeq(leq(sk6,sk5(sk8,sk7,sk6)),true,leq(sk5(sk8,sk7,sk6),sk6),true),true),true),
inference(step,[status(thm)],[t15025,t11714]) ).
cnf(t15027,plain,
true = ifeq(true,true,ifeq(leq(sk6,sk5(sk8,sk7,sk6)),true,leq(sk5(sk8,sk7,sk6),sk6),true),true),
inference(step,[status(thm)],[t15026,t293]) ).
cnf(t15028,plain,
true = ifeq(leq(sk6,sk5(sk8,sk7,sk6)),true,leq(sk5(sk8,sk7,sk6),sk6),true),
inference(step,[status(thm)],[t15027,t293]) ).
cnf(f195,negated_conjecture,
( leq(A,sk5(C,B,A))
| app(app(B,cons(A,nil)),C) != sk1
| ~ ssList(C)
| ~ ssList(B)
| ~ ssItem(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f195_nnf,plain,
! [A,B,C] :
( leq(A,sk5(C,B,A))
| app(app(B,cons(A,nil)),C) != sk1
| ~ ssList(C)
| ~ ssList(B)
| ~ ssItem(A) ),
inference(nnf_transformation,[status(thm)],[f195]) ).
fof(f195_sk,plain,
! [A,B,C] :
( leq(A,sk5(C,B,A))
| app(app(B,cons(A,nil)),C) != sk1
| ~ ssList(C)
| ~ ssList(B)
| ~ ssItem(A) ),
inference(skolemisation,[status(esa)],[f195_nnf]) ).
cnf(c195,plain,
( leq(X0,sk5(X2,X1,X0))
| app(app(X1,cons(X0,nil)),X2) != sk1
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(esa)],[f195_sk]) ).
cnf(t208,plain,
ifeq(ssItem(X1),true,ifeq(ssList(X2),true,ifeq(ssList(X3),true,ifeq(app(app(X2,cons(X1,nil)),X3),sk1,leq(X1,sk5(X3,X2,X1)),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c195]) ).
cnf(t14893,plain,
ifeq(ssItem(X1),true,ifeq(ssList(X2),true,ifeq(ssList(X3),true,ifeq(app(app(X2,cons(X1,nil)),X3),sk3,leq(X1,sk5(X3,X2,X1)),true),true),true),true) = true,
inference(step,[status(thm)],[t208,t227]) ).
cnf(t11514,plain,
ifeq(ssItem(X1),true,ifeq(ssList(X2),true,ifeq(ssList(X3),true,ifeq(app(app(X2,cons(X1,nil)),X3),sk3,leq(X1,sk5(X3,X2,X1)),true),true),true),true) = true,
inference(orient,[status(thm)],[t14893]) ).
cnf(t11599,plain,
true = ifeq(ssItem(sk6),true,ifeq(ssList(sk7),true,ifeq(ssList(sk8),true,ifeq(sk3,sk3,leq(sk6,sk5(sk8,sk7,sk6)),true),true),true),true),
inference(cp,[status(thm)],[t11514,t3480]) ).
cnf(t14894,plain,
true = ifeq(true,true,ifeq(ssList(sk7),true,ifeq(ssList(sk8),true,ifeq(sk3,sk3,leq(sk6,sk5(sk8,sk7,sk6)),true),true),true),true),
inference(step,[status(thm)],[t11599,t300]) ).
cnf(t14895,plain,
true = ifeq(ssList(sk7),true,ifeq(ssList(sk8),true,ifeq(sk3,sk3,leq(sk6,sk5(sk8,sk7,sk6)),true),true),true),
inference(step,[status(thm)],[t14894,t293]) ).
cnf(t14896,plain,
true = ifeq(true,true,ifeq(ssList(sk8),true,ifeq(sk3,sk3,leq(sk6,sk5(sk8,sk7,sk6)),true),true),true),
inference(step,[status(thm)],[t14895,t301]) ).
cnf(t14897,plain,
true = ifeq(ssList(sk8),true,ifeq(sk3,sk3,leq(sk6,sk5(sk8,sk7,sk6)),true),true),
inference(step,[status(thm)],[t14896,t293]) ).
cnf(t14898,plain,
true = ifeq(true,true,ifeq(sk3,sk3,leq(sk6,sk5(sk8,sk7,sk6)),true),true),
inference(step,[status(thm)],[t14897,t302]) ).
cnf(t14899,plain,
true = ifeq(sk3,sk3,leq(sk6,sk5(sk8,sk7,sk6)),true),
inference(step,[status(thm)],[t14898,t293]) ).
cnf(t14900,plain,
true = leq(sk6,sk5(sk8,sk7,sk6)),
inference(step,[status(thm)],[t14899,t293]) ).
cnf(t11601,plain,
leq(sk6,sk5(sk8,sk7,sk6)) = true,
inference(orient,[status(thm)],[t14900]) ).
cnf(t15029,plain,
true = ifeq(true,true,leq(sk5(sk8,sk7,sk6),sk6),true),
inference(step,[status(thm)],[t15028,t11601]) ).
cnf(t15030,plain,
true = leq(sk5(sk8,sk7,sk6),sk6),
inference(step,[status(thm)],[t15029,t293]) ).
cnf(t71,plain,
ifeq(not(X1),true,X1,false) = false,
introduced(definition) ).
cnf(t296,plain,
ifeq(not(X1),true,X1,false) = false,
inference(orient,[status(thm)],[t71]) ).
cnf(f196,negated_conjecture,
( ~ leq(sk5(C,B,A),A)
| app(app(B,cons(A,nil)),C) != sk1
| ~ ssList(C)
| ~ ssList(B)
| ~ ssItem(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f196_nnf,plain,
! [A,B,C] :
( ~ leq(sk5(C,B,A),A)
| app(app(B,cons(A,nil)),C) != sk1
| ~ ssList(C)
| ~ ssList(B)
| ~ ssItem(A) ),
inference(nnf_transformation,[status(thm)],[f196]) ).
fof(f196_sk,plain,
! [A,B,C] :
( ~ leq(sk5(C,B,A),A)
| app(app(B,cons(A,nil)),C) != sk1
| ~ ssList(C)
| ~ ssList(B)
| ~ ssItem(A) ),
inference(skolemisation,[status(esa)],[f196_nnf]) ).
cnf(c196,plain,
( ~ leq(sk5(X2,X1,X0),X0)
| app(app(X1,cons(X0,nil)),X2) != sk1
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(esa)],[f196_sk]) ).
cnf(t204,plain,
or(not(ssItem(X1)),or(not(ssList(X2)),or(not(ssList(X3)),or(not(eq(app(app(X2,cons(X1,nil)),X3),sk1)),not(leq(sk5(X3,X2,X1),X1)))))) = true,
inference(equality_encoding,[status(esa)],[c196]) ).
cnf(t14662,plain,
or(not(ssItem(X1)),or(not(ssList(X2)),or(not(ssList(X3)),or(not(eq(app(app(X2,cons(X1,nil)),X3),sk3)),not(leq(sk5(X3,X2,X1),X1)))))) = true,
inference(step,[status(thm)],[t204,t227]) ).
cnf(t10892,plain,
or(not(ssItem(X1)),or(not(ssList(X2)),or(not(ssList(X3)),or(not(eq(app(app(X2,cons(X1,nil)),X3),sk3)),not(leq(sk5(X3,X2,X1),X1)))))) = true,
inference(orient,[status(thm)],[t14662]) ).
cnf(t10977,plain,
true = or(not(ssItem(sk6)),or(not(ssList(sk7)),or(not(ssList(sk8)),or(not(eq(sk3,sk3)),not(leq(sk5(sk8,sk7,sk6),sk6)))))),
inference(cp,[status(thm)],[t10892,t3480]) ).
cnf(t14664,plain,
true = or(not(true),or(not(ssList(sk7)),or(not(ssList(sk8)),or(not(eq(sk3,sk3)),not(leq(sk5(sk8,sk7,sk6),sk6)))))),
inference(step,[status(thm)],[t10977,t300]) ).
cnf(t6,plain,
not(true) = false,
introduced(definition) ).
cnf(t233,plain,
not(true) = false,
inference(orient,[status(thm)],[t6]) ).
cnf(t14665,plain,
true = or(false,or(not(ssList(sk7)),or(not(ssList(sk8)),or(not(eq(sk3,sk3)),not(leq(sk5(sk8,sk7,sk6),sk6)))))),
inference(step,[status(thm)],[t14664,t233]) ).
cnf(t14666,plain,
true = or(not(ssList(sk7)),or(not(ssList(sk8)),or(not(eq(sk3,sk3)),not(leq(sk5(sk8,sk7,sk6),sk6))))),
inference(step,[status(thm)],[t14665,t249]) ).
cnf(t14667,plain,
true = or(not(true),or(not(ssList(sk8)),or(not(eq(sk3,sk3)),not(leq(sk5(sk8,sk7,sk6),sk6))))),
inference(step,[status(thm)],[t14666,t301]) ).
cnf(t14668,plain,
true = or(false,or(not(ssList(sk8)),or(not(eq(sk3,sk3)),not(leq(sk5(sk8,sk7,sk6),sk6))))),
inference(step,[status(thm)],[t14667,t233]) ).
cnf(t14669,plain,
true = or(not(ssList(sk8)),or(not(eq(sk3,sk3)),not(leq(sk5(sk8,sk7,sk6),sk6)))),
inference(step,[status(thm)],[t14668,t249]) ).
cnf(t14670,plain,
true = or(not(true),or(not(eq(sk3,sk3)),not(leq(sk5(sk8,sk7,sk6),sk6)))),
inference(step,[status(thm)],[t14669,t302]) ).
cnf(t14671,plain,
true = or(false,or(not(eq(sk3,sk3)),not(leq(sk5(sk8,sk7,sk6),sk6)))),
inference(step,[status(thm)],[t14670,t233]) ).
cnf(t14672,plain,
true = or(not(eq(sk3,sk3)),not(leq(sk5(sk8,sk7,sk6),sk6))),
inference(step,[status(thm)],[t14671,t249]) ).
cnf(t19,plain,
eq(X1,X1) = true,
introduced(definition) ).
cnf(t244,plain,
eq(X1,X1) = true,
inference(orient,[status(thm)],[t19]) ).
cnf(t14673,plain,
true = or(not(true),not(leq(sk5(sk8,sk7,sk6),sk6))),
inference(step,[status(thm)],[t14672,t244]) ).
cnf(t14674,plain,
true = or(false,not(leq(sk5(sk8,sk7,sk6),sk6))),
inference(step,[status(thm)],[t14673,t233]) ).
cnf(t14675,plain,
true = not(leq(sk5(sk8,sk7,sk6),sk6)),
inference(step,[status(thm)],[t14674,t249]) ).
cnf(t10984,plain,
not(leq(sk5(sk8,sk7,sk6),sk6)) = true,
inference(orient,[status(thm)],[t14675]) ).
cnf(t10985,plain,
false = ifeq(true,true,leq(sk5(sk8,sk7,sk6),sk6),false),
inference(cp,[status(thm)],[t296,t10984]) ).
cnf(t14676,plain,
false = leq(sk5(sk8,sk7,sk6),sk6),
inference(step,[status(thm)],[t10985,t293]) ).
cnf(t10986,plain,
leq(sk5(sk8,sk7,sk6),sk6) = false,
inference(orient,[status(thm)],[t14676]) ).
cnf(t15031,plain,
true = false,
inference(step,[status(thm)],[t15030,t10986]) ).
cnf(t11830,plain,
false = true,
inference(orient,[status(thm)],[t15031]) ).
cnf(f10,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
fof(f10_nnf,plain,
~ singletonP(nil),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
~ singletonP(nil),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
~ singletonP(nil),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(f53,axiom,
skac3 != skac2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
fof(f53_nnf,plain,
skac3 != skac2,
inference(nnf_transformation,[status(thm)],[f53]) ).
fof(f53_sk,plain,
skac3 != skac2,
inference(skolemisation,[status(esa)],[f53_nnf]) ).
cnf(c53,plain,
skac3 != skac2,
inference(cnf_transformation,[status(esa)],[f53_sk]) ).
cnf(f62,axiom,
( ~ ssItem(U)
| ~ lt(U,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
fof(f62_nnf,plain,
! [U] :
( ~ ssItem(U)
| ~ lt(U,U) ),
inference(nnf_transformation,[status(thm)],[f62]) ).
fof(f62_sk,plain,
! [U] :
( ~ ssItem(U)
| ~ lt(U,U) ),
inference(skolemisation,[status(esa)],[f62_nnf]) ).
cnf(c62,plain,
( ~ ssItem(X0)
| ~ lt(X0,X0) ),
inference(cnf_transformation,[status(esa)],[f62_sk]) ).
cnf(f70,axiom,
( ~ ssItem(U)
| ~ memberP(nil,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f70_nnf,plain,
! [U] :
( ~ ssItem(U)
| ~ memberP(nil,U) ),
inference(nnf_transformation,[status(thm)],[f70]) ).
fof(f70_sk,plain,
! [U] :
( ~ ssItem(U)
| ~ memberP(nil,U) ),
inference(skolemisation,[status(esa)],[f70_nnf]) ).
cnf(c70,plain,
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[status(esa)],[f70_sk]) ).
cnf(f97,axiom,
( ~ ssList(V)
| ~ ssItem(U)
| cons(U,V) != nil ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f97_nnf,plain,
! [U,V] :
( ~ ssList(V)
| ~ ssItem(U)
| cons(U,V) != nil ),
inference(nnf_transformation,[status(thm)],[f97]) ).
fof(f97_sk,plain,
! [U,V] :
( ~ ssList(V)
| ~ ssItem(U)
| cons(U,V) != nil ),
inference(skolemisation,[status(esa)],[f97_nnf]) ).
cnf(c97,plain,
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != nil ),
inference(cnf_transformation,[status(esa)],[f97_sk]) ).
cnf(f98,axiom,
( ~ ssList(V)
| ~ ssItem(U)
| cons(U,V) != V ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
fof(f98_nnf,plain,
! [U,V] :
( ~ ssList(V)
| ~ ssItem(U)
| cons(U,V) != V ),
inference(nnf_transformation,[status(thm)],[f98]) ).
fof(f98_sk,plain,
! [U,V] :
( ~ ssList(V)
| ~ ssItem(U)
| cons(U,V) != V ),
inference(skolemisation,[status(esa)],[f98_nnf]) ).
cnf(c98,plain,
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != X1 ),
inference(cnf_transformation,[status(esa)],[f98_sk]) ).
cnf(f109,axiom,
( ~ ssItem(V)
| ~ ssItem(U)
| ~ gt(V,U)
| ~ gt(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).
fof(f109_nnf,plain,
! [U,V] :
( ~ ssItem(V)
| ~ ssItem(U)
| ~ gt(V,U)
| ~ gt(U,V) ),
inference(nnf_transformation,[status(thm)],[f109]) ).
fof(f109_sk,plain,
! [U,V] :
( ~ ssItem(V)
| ~ ssItem(U)
| ~ gt(V,U)
| ~ gt(U,V) ),
inference(skolemisation,[status(esa)],[f109_nnf]) ).
cnf(c109,plain,
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X1,X0)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f109_sk]) ).
cnf(f110,axiom,
( ~ ssItem(U)
| ~ ssItem(V)
| ~ lt(U,V)
| U != V ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
fof(f110_nnf,plain,
! [U,V] :
( ~ ssItem(U)
| ~ ssItem(V)
| ~ lt(U,V)
| U != V ),
inference(nnf_transformation,[status(thm)],[f110]) ).
fof(f110_sk,plain,
! [U,V] :
( ~ ssItem(U)
| ~ ssItem(V)
| ~ lt(U,V)
| U != V ),
inference(skolemisation,[status(esa)],[f110_nnf]) ).
cnf(c110,plain,
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f110_sk]) ).
cnf(f113,axiom,
( ~ ssItem(V)
| ~ ssItem(U)
| ~ lt(V,U)
| ~ lt(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
fof(f113_nnf,plain,
! [U,V] :
( ~ ssItem(V)
| ~ ssItem(U)
| ~ lt(V,U)
| ~ lt(U,V) ),
inference(nnf_transformation,[status(thm)],[f113]) ).
fof(f113_sk,plain,
! [U,V] :
( ~ ssItem(V)
| ~ ssItem(U)
| ~ lt(V,U)
| ~ lt(U,V) ),
inference(skolemisation,[status(esa)],[f113_nnf]) ).
cnf(c113,plain,
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ lt(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f113_sk]) ).
cnf(f114,axiom,
( ~ ssList(U)
| ~ ssList(V)
| ~ neq(U,V)
| U != V ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f114_nnf,plain,
! [U,V] :
( ~ ssList(U)
| ~ ssList(V)
| ~ neq(U,V)
| U != V ),
inference(nnf_transformation,[status(thm)],[f114]) ).
fof(f114_sk,plain,
! [U,V] :
( ~ ssList(U)
| ~ ssList(V)
| ~ neq(U,V)
| U != V ),
inference(skolemisation,[status(esa)],[f114_nnf]) ).
cnf(c114,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ neq(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f114_sk]) ).
cnf(f116,axiom,
( ~ ssItem(U)
| ~ ssItem(V)
| ~ neq(U,V)
| U != V ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
fof(f116_nnf,plain,
! [U,V] :
( ~ ssItem(U)
| ~ ssItem(V)
| ~ neq(U,V)
| U != V ),
inference(nnf_transformation,[status(thm)],[f116]) ).
fof(f116_sk,plain,
! [U,V] :
( ~ ssItem(U)
| ~ ssItem(V)
| ~ neq(U,V)
| U != V ),
inference(skolemisation,[status(esa)],[f116_nnf]) ).
cnf(c116,plain,
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ neq(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f116_sk]) ).
cnf(f178,axiom,
( ~ ssList(Y)
| ~ duplicatefreeP(Y)
| ~ ssItem(V)
| ~ ssList(U)
| ~ ssList(W)
| ~ ssList(X)
| app(app(U,cons(V,W)),cons(V,X)) != Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).
fof(f178_nnf,plain,
! [U,V,W,X,Y] :
( ~ ssList(Y)
| ~ duplicatefreeP(Y)
| ~ ssItem(V)
| ~ ssList(U)
| ~ ssList(W)
| ~ ssList(X)
| app(app(U,cons(V,W)),cons(V,X)) != Y ),
inference(nnf_transformation,[status(thm)],[f178]) ).
fof(f178_sk,plain,
! [U,V,W,X,Y] :
( ~ ssList(Y)
| ~ duplicatefreeP(Y)
| ~ ssItem(V)
| ~ ssList(U)
| ~ ssList(W)
| ~ ssList(X)
| app(app(U,cons(V,W)),cons(V,X)) != Y ),
inference(skolemisation,[status(esa)],[f178_nnf]) ).
cnf(c178,plain,
( ~ ssList(X4)
| ~ duplicatefreeP(X4)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4 ),
inference(cnf_transformation,[status(esa)],[f178_sk]) ).
cnf(f184,axiom,
( ~ ssList(Z)
| ~ cyclefreeP(Z)
| ~ ssItem(U)
| ~ ssItem(V)
| ~ ssList(W)
| ~ ssList(X)
| ~ ssList(Y)
| app(app(W,cons(U,X)),cons(V,Y)) != Z
| ~ leq(V,U)
| ~ leq(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).
fof(f184_nnf,plain,
! [U,V,W,X,Y,Z] :
( ~ ssList(Z)
| ~ cyclefreeP(Z)
| ~ ssItem(U)
| ~ ssItem(V)
| ~ ssList(W)
| ~ ssList(X)
| ~ ssList(Y)
| app(app(W,cons(U,X)),cons(V,Y)) != Z
| ~ leq(V,U)
| ~ leq(U,V) ),
inference(nnf_transformation,[status(thm)],[f184]) ).
fof(f184_sk,plain,
! [U,V,W,X,Y,Z] :
( ~ ssList(Z)
| ~ cyclefreeP(Z)
| ~ ssItem(U)
| ~ ssItem(V)
| ~ ssList(W)
| ~ ssList(X)
| ~ ssList(Y)
| app(app(W,cons(U,X)),cons(V,Y)) != Z
| ~ leq(V,U)
| ~ leq(U,V) ),
inference(skolemisation,[status(esa)],[f184_nnf]) ).
cnf(c184,plain,
( ~ ssList(X5)
| ~ cyclefreeP(X5)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| app(app(X2,cons(X0,X3)),cons(X1,X4)) != X5
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f184_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c10,c53,c62,c70,c97,c98,c109,c110,c113,c114,c116,c178,c184,c191,c196]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t11830]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC220-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/5.40 % Computer : n015.cluster.edu
% 0.11/5.40 % Model : x86_64 x86_64
% 0.11/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.40 % Memory : 8046.5625MB
% 0.11/5.40 % OS : Linux 6.8.0-71-generic
% 0.11/5.40 % CPULimit : 300
% 0.15/5.40 % WCLimit : 300
% 0.15/5.40 % DateTime : Thu Sep 24 17:06:49 UTC 2026
% 0.15/5.40 % CPUTime :
% 0.15/5.40 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 72.51/14.94 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 72.51/14.94 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------