%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : HWV014-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n011.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 01:37:52 PM UTC 2026
% Result : Unsatisfiable 23.56s 3.87s
% Output : Proof 23.56s
% Verified :
% Comments :
%------------------------------------------------------------------------------
cnf(t168,axiom,
sF1 = p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
introduced(definition) ).
cnf(t167,axiom,
sF0 = fwork_DOTfifo_DOTrtl_DOTrd_(t_206),
introduced(definition) ).
cnf(t188,plain,
fwork_DOTfifo_DOTrtl_DOTrd_(t_206) = sF0,
inference(orient,[status(thm)],[t167]) ).
cnf(t23097,plain,
sF1 = p__pred_(sF0),
inference(step,[status(thm)],[t168,t188]) ).
cnf(f136,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).
fof(f136_nnf,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(nnf_transformation,[status(thm)],[f136]) ).
cnf(c136,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(cnf_transformation,[status(esa)],[f136_nnf]) ).
cnf(t14,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) = true,
inference(equality_encoding,[status(esa)],[c136]) ).
cnf(t23094,plain,
p__pred_(sF0) = true,
inference(step,[status(thm)],[t14,t188]) ).
cnf(t200,plain,
p__pred_(sF0) = true,
inference(orient,[status(thm)],[t23094]) ).
cnf(t23098,plain,
sF1 = true,
inference(step,[status(thm)],[t23097,t200]) ).
cnf(t204,plain,
true = sF1,
inference(orient,[status(thm)],[t23098]) ).
cnf(t170,axiom,
sF3 = p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
introduced(definition) ).
cnf(t169,axiom,
sF2 = fwork_DOTfifo_DOTrtl_DOTreset_(t_206),
introduced(definition) ).
cnf(t189,plain,
fwork_DOTfifo_DOTrtl_DOTreset_(t_206) = sF2,
inference(orient,[status(thm)],[t169]) ).
cnf(t23110,plain,
sF3 = p__pred_(sF2),
inference(step,[status(thm)],[t170,t189]) ).
cnf(f135,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
fof(f135_nnf,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(nnf_transformation,[status(thm)],[f135]) ).
fof(f135_sk,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(skolemisation,[status(esa)],[f135_nnf]) ).
cnf(c135,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(cnf_transformation,[status(esa)],[f135_sk]) ).
cnf(t15,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) = false,
inference(equality_encoding,[status(esa)],[c135]) ).
cnf(t23095,plain,
p__pred_(sF2) = false,
inference(step,[status(thm)],[t15,t189]) ).
cnf(t201,plain,
p__pred_(sF2) = false,
inference(orient,[status(thm)],[t23095]) ).
cnf(t23111,plain,
sF3 = false,
inference(step,[status(thm)],[t23110,t201]) ).
cnf(t219,plain,
false = sF3,
inference(orient,[status(thm)],[t23111]) ).
cnf(f41,axiom,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_43) ).
fof(f41_nnf,plain,
! [T_13] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n1) ),
inference(nnf_transformation,[status(thm)],[f41]) ).
fof(f41_sk,plain,
! [T_13] :
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_13))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(T_13))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(T_13))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(T_13,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(T_13),n1) ),
inference(skolemisation,[status(esa)],[f41_nnf]) ).
cnf(c41,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X0))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)
| fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X0,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n1) ),
inference(cnf_transformation,[status(esa)],[f41_sk]) ).
cnf(t144,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),true,or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)),f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n1)),or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))))),true) = true,
inference(equality_encoding,[status(esa)],[c41]) ).
cnf(t24344,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),sF1,or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)),f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n1)),or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))))),true) = true,
inference(step,[status(thm)],[t144,t204]) ).
cnf(t24345,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),sF1,or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)),f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n1)),or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))))),sF1) = true,
inference(step,[status(thm)],[t24344,t204]) ).
cnf(t24346,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),sF1,or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)),f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n1)),or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))))),sF1) = sF1,
inference(step,[status(thm)],[t24345,t204]) ).
cnf(t22759,plain,
ifeq(p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)),sF1,or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X1,n1)),f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n1)),or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))))),sF1) = sF1,
inference(orient,[status(thm)],[t24346]) ).
cnf(t22760,plain,
sF1 = ifeq(p__pred_(sF0),sF1,or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1)),or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))))),sF1),
inference(cp,[status(thm)],[t22759,t188]) ).
cnf(t23108,plain,
p__pred_(sF0) = sF1,
inference(step,[status(thm)],[t200,t204]) ).
cnf(t216,plain,
p__pred_(sF0) = sF1,
inference(orient,[status(thm)],[t23108]) ).
cnf(t24347,plain,
sF1 = ifeq(sF1,sF1,or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1)),or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))))),sF1),
inference(step,[status(thm)],[t22760,t216]) ).
cnf(t20,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t252,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t20]) ).
cnf(t24348,plain,
sF1 = or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1)),or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))))),
inference(step,[status(thm)],[t24347,t252]) ).
cnf(t178,axiom,
sF11 = f_ADD_(t_206,n1),
introduced(definition) ).
cnf(t235,plain,
f_ADD_(t_206,n1) = sF11,
inference(orient,[status(thm)],[t178]) ).
cnf(t24349,plain,
sF1 = or(eq(fwork_DOTfifo_DOTrtl_DOTint__level_(sF11),f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1)),or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))))),
inference(step,[status(thm)],[t24348,t235]) ).
cnf(t179,axiom,
sF12 = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),
introduced(definition) ).
cnf(t23133,plain,
sF12 = fwork_DOTfifo_DOTrtl_DOTint__level_(sF11),
inference(step,[status(thm)],[t179,t235]) ).
cnf(t245,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(sF11) = sF12,
inference(orient,[status(thm)],[t23133]) ).
cnf(t24350,plain,
sF1 = or(eq(sF12,f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1)),or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))))),
inference(step,[status(thm)],[t24349,t245]) ).
cnf(t173,axiom,
sF6 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),
introduced(definition) ).
cnf(t191,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = sF6,
inference(orient,[status(thm)],[t173]) ).
cnf(t24351,plain,
sF1 = or(eq(sF12,f_SUB_(sF6,n1)),or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))))),
inference(step,[status(thm)],[t24350,t191]) ).
cnf(t180,axiom,
sF13 = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1),
introduced(definition) ).
cnf(t23134,plain,
sF13 = f_SUB_(sF6,n1),
inference(step,[status(thm)],[t180,t191]) ).
cnf(t246,plain,
f_SUB_(sF6,n1) = sF13,
inference(orient,[status(thm)],[t23134]) ).
cnf(t24352,plain,
sF1 = or(eq(sF12,sF13),or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))))),
inference(step,[status(thm)],[t24351,t246]) ).
cnf(f137,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) != f_SUB_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_5) ).
fof(f137_nnf,plain,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) != f_SUB_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1),
inference(nnf_transformation,[status(thm)],[f137]) ).
fof(f137_sk,plain,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) != f_SUB_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1),
inference(skolemisation,[status(esa)],[f137_nnf]) ).
cnf(c137,plain,
fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) != f_SUB_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1),
inference(cnf_transformation,[status(esa)],[f137_sk]) ).
cnf(u3,axiom,
eq(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),f_SUB_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1)) = false,
inference(equality_encoding,[status(esa)],[c137]) ).
cnf(f3,axiom,
fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f3_nnf,plain,
! [T_0] : fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [T_0] : fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
fwork_DOTfifo_DOTrtl_DOTlevel_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(d0,axiom,
fwork_DOTfifo_DOTrtl_DOTlevel_(X0) = fwork_DOTfifo_DOTrtl_DOTint__level_(X0),
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(t49,plain,
eq(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1)) = false,
inference(definition_unfolding,[status(thm)],[u3,d0]) ).
cnf(t23217,plain,
eq(fwork_DOTfifo_DOTrtl_DOTint__level_(sF11),f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1)) = false,
inference(step,[status(thm)],[t49,t235]) ).
cnf(t23218,plain,
eq(sF12,f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1)) = false,
inference(step,[status(thm)],[t23217,t245]) ).
cnf(t23219,plain,
eq(sF12,f_SUB_(sF6,n1)) = false,
inference(step,[status(thm)],[t23218,t191]) ).
cnf(t23220,plain,
eq(sF12,sF13) = false,
inference(step,[status(thm)],[t23219,t246]) ).
cnf(t23221,plain,
eq(sF12,sF13) = sF3,
inference(step,[status(thm)],[t23220,t219]) ).
cnf(t1071,plain,
eq(sF12,sF13) = sF3,
inference(orient,[status(thm)],[t23221]) ).
cnf(t24353,plain,
sF1 = or(sF3,or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))))),
inference(step,[status(thm)],[t24352,t1071]) ).
cnf(t11,plain,
or(false,X1) = X1,
introduced(definition) ).
cnf(t197,plain,
or(false,X1) = X1,
inference(orient,[status(thm)],[t11]) ).
cnf(t23118,plain,
or(sF3,X1) = X1,
inference(step,[status(thm)],[t197,t219]) ).
cnf(t226,plain,
or(sF3,X1) = X1,
inference(rw,[status(thm)],[t23118]) ).
cnf(t239,plain,
or(sF3,X1) = X1,
inference(orient,[status(thm)],[t226]) ).
cnf(t24354,plain,
sF1 = or(p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),
inference(step,[status(thm)],[t24353,t239]) ).
cnf(t24355,plain,
sF1 = or(p_LES_EQU_(sF6,n0),or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),
inference(step,[status(thm)],[t24354,t191]) ).
cnf(f133,negated_conjecture,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
fof(f133_nnf,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0),
inference(nnf_transformation,[status(thm)],[f133]) ).
fof(f133_sk,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0),
inference(skolemisation,[status(esa)],[f133_nnf]) ).
cnf(c133,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0),
inference(cnf_transformation,[status(esa)],[f133_sk]) ).
cnf(u2,axiom,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0) = false,
inference(equality_encoding,[status(esa)],[c133]) ).
cnf(t18,plain,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0) = false,
inference(definition_unfolding,[status(thm)],[u2,d0]) ).
cnf(t23129,plain,
p_LES_EQU_(sF6,n0) = false,
inference(step,[status(thm)],[t18,t191]) ).
cnf(t23130,plain,
p_LES_EQU_(sF6,n0) = sF3,
inference(step,[status(thm)],[t23129,t219]) ).
cnf(t240,plain,
p_LES_EQU_(sF6,n0) = sF3,
inference(orient,[status(thm)],[t23130]) ).
cnf(t24356,plain,
sF1 = or(sF3,or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)))),
inference(step,[status(thm)],[t24355,t240]) ).
cnf(t24357,plain,
sF1 = or(p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))),
inference(step,[status(thm)],[t24356,t239]) ).
cnf(t171,axiom,
sF4 = fwork_DOTfifo_DOTrtl_DOTwr_(t_206),
introduced(definition) ).
cnf(t190,plain,
fwork_DOTfifo_DOTrtl_DOTwr_(t_206) = sF4,
inference(orient,[status(thm)],[t171]) ).
cnf(t24358,plain,
sF1 = or(p__pred_(sF4),p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))),
inference(step,[status(thm)],[t24357,t190]) ).
cnf(f134,negated_conjecture,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
fof(f134_nnf,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(nnf_transformation,[status(thm)],[f134]) ).
fof(f134_sk,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(skolemisation,[status(esa)],[f134_nnf]) ).
cnf(c134,plain,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
inference(cnf_transformation,[status(esa)],[f134_sk]) ).
cnf(t16,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) = false,
inference(equality_encoding,[status(esa)],[c134]) ).
cnf(t23096,plain,
p__pred_(sF4) = false,
inference(step,[status(thm)],[t16,t190]) ).
cnf(t202,plain,
p__pred_(sF4) = false,
inference(orient,[status(thm)],[t23096]) ).
cnf(t23121,plain,
p__pred_(sF4) = sF3,
inference(step,[status(thm)],[t202,t219]) ).
cnf(t229,plain,
p__pred_(sF4) = sF3,
inference(orient,[status(thm)],[t23121]) ).
cnf(t24359,plain,
sF1 = or(sF3,p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))),
inference(step,[status(thm)],[t24358,t229]) ).
cnf(t24360,plain,
sF1 = p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
inference(step,[status(thm)],[t24359,t239]) ).
cnf(t24361,plain,
sF1 = p__pred_(sF2),
inference(step,[status(thm)],[t24360,t189]) ).
cnf(t23119,plain,
p__pred_(sF2) = sF3,
inference(step,[status(thm)],[t201,t219]) ).
cnf(t227,plain,
p__pred_(sF2) = sF3,
inference(orient,[status(thm)],[t23119]) ).
cnf(t24362,plain,
sF1 = sF3,
inference(step,[status(thm)],[t24361,t227]) ).
cnf(t22765,plain,
sF3 = sF1,
inference(orient,[status(thm)],[t24362]) ).
cnf(t24373,plain,
false = sF1,
inference(step,[status(thm)],[t219,t22765]) ).
cnf(t22776,plain,
false = sF1,
inference(orient,[status(thm)],[t24373]) ).
cnf(f11,axiom,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_5,n1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f11_nnf,plain,
! [T_5] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_5,n1))) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [T_5] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(T_5,n1))) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(X0,n1))) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(f12,axiom,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_5,n1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f12_nnf,plain,
! [T_5] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_5,n1))) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [T_5] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(T_5,n1))) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X0,n1))) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(f13,axiom,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ~ p_LES_EQU_(I1_6,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1))
| ~ p_LES_EQU_(n0,I1_6)
| ~ p_LES_EQU_(I2_7,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1))
| ~ p_LES_EQU_(n0,I2_7)
| ~ p__pred_(f__index_(f__index_(fwork_DOTfifo_DOTrtl_DOTmem_(f_ADD_(T_5,n1)),I1_6),I2_7)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(f13_nnf,plain,
! [T_5,I1_6,I2_7] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ~ p_LES_EQU_(I1_6,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1))
| ~ p_LES_EQU_(n0,I1_6)
| ~ p_LES_EQU_(I2_7,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1))
| ~ p_LES_EQU_(n0,I2_7)
| ~ p__pred_(f__index_(f__index_(fwork_DOTfifo_DOTrtl_DOTmem_(f_ADD_(T_5,n1)),I1_6),I2_7)) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [T_5,I1_6,I2_7] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ~ p_LES_EQU_(I1_6,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1))
| ~ p_LES_EQU_(n0,I1_6)
| ~ p_LES_EQU_(I2_7,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1))
| ~ p_LES_EQU_(n0,I2_7)
| ~ p__pred_(f__index_(f__index_(fwork_DOTfifo_DOTrtl_DOTmem_(f_ADD_(T_5,n1)),I1_6),I2_7)) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| ~ p_LES_EQU_(X1,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1))
| ~ p_LES_EQU_(n0,X1)
| ~ p_LES_EQU_(X2,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1))
| ~ p_LES_EQU_(n0,X2)
| ~ p__pred_(f__index_(f__index_(fwork_DOTfifo_DOTrtl_DOTmem_(f_ADD_(X0,n1)),X1),X2)) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(f14,axiom,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ~ p_LES_EQU_(I1_10,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1))
| ~ p_LES_EQU_(n0,I1_10)
| ~ p__pred_(f__index_(fwork_DOTfifo_DOTrtl_DOTdata__out_(f_ADD_(T_5,n1)),I1_10)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
fof(f14_nnf,plain,
! [T_5,I1_10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ~ p_LES_EQU_(I1_10,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1))
| ~ p_LES_EQU_(n0,I1_10)
| ~ p__pred_(f__index_(fwork_DOTfifo_DOTrtl_DOTdata__out_(f_ADD_(T_5,n1)),I1_10)) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [T_5,I1_10] :
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(T_5))
| ~ p_LES_EQU_(I1_10,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1))
| ~ p_LES_EQU_(n0,I1_10)
| ~ p__pred_(f__index_(fwork_DOTfifo_DOTrtl_DOTdata__out_(f_ADD_(T_5,n1)),I1_10)) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X0))
| ~ p_LES_EQU_(X1,f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__width_,n1))
| ~ p_LES_EQU_(n0,X1)
| ~ p__pred_(f__index_(fwork_DOTfifo_DOTrtl_DOTdata__out_(f_ADD_(X0,n1)),X1)) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(f57,axiom,
f_ADD_(X_80,n1) != n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_59) ).
fof(f57_nnf,plain,
! [X_80] : f_ADD_(X_80,n1) != n0,
inference(nnf_transformation,[status(thm)],[f57]) ).
fof(f57_sk,plain,
! [X_80] : f_ADD_(X_80,n1) != n0,
inference(skolemisation,[status(esa)],[f57_nnf]) ).
cnf(c57,plain,
f_ADD_(X0,n1) != n0,
inference(cnf_transformation,[status(esa)],[f57_sk]) ).
cnf(f58,axiom,
~ p_LES_EQU_(f_ADD_(X_81,n1),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_60) ).
fof(f58_nnf,plain,
! [X_81] : ~ p_LES_EQU_(f_ADD_(X_81,n1),n0),
inference(nnf_transformation,[status(thm)],[f58]) ).
fof(f58_sk,plain,
! [X_81] : ~ p_LES_EQU_(f_ADD_(X_81,n1),n0),
inference(skolemisation,[status(esa)],[f58_nnf]) ).
cnf(c58,plain,
~ p_LES_EQU_(f_ADD_(X0,n1),n0),
inference(cnf_transformation,[status(esa)],[f58_sk]) ).
cnf(f62,axiom,
( ~ def_89(Y_84,X_83)
| X_83 != Y_84 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_64) ).
fof(f62_nnf,plain,
! [X_83,Y_84] :
( ~ def_89(Y_84,X_83)
| X_83 != Y_84 ),
inference(nnf_transformation,[status(thm)],[f62]) ).
fof(f62_sk,plain,
! [X_83,Y_84] :
( ~ def_89(Y_84,X_83)
| X_83 != Y_84 ),
inference(skolemisation,[status(esa)],[f62_nnf]) ).
cnf(c62,plain,
( ~ def_89(X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f62_sk]) ).
cnf(f95,axiom,
~ p__pred_(f__false_),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_97) ).
fof(f95_nnf,plain,
~ p__pred_(f__false_),
inference(nnf_transformation,[status(thm)],[f95]) ).
fof(f95_sk,plain,
~ p__pred_(f__false_),
inference(skolemisation,[status(esa)],[f95_nnf]) ).
cnf(c95,plain,
~ p__pred_(f__false_),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(f96,axiom,
f__false_ != f__true_,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_98) ).
fof(f96_nnf,plain,
f__false_ != f__true_,
inference(nnf_transformation,[status(thm)],[f96]) ).
fof(f96_sk,plain,
f__false_ != f__true_,
inference(skolemisation,[status(esa)],[f96_nnf]) ).
cnf(c96,plain,
f__false_ != f__true_,
inference(cnf_transformation,[status(esa)],[f96_sk]) ).
cnf(f109,axiom,
( ~ p__pred_(f__xor_(A_173,B_174))
| ~ p__pred_(A_173)
| ~ p__pred_(B_174) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_111) ).
fof(f109_nnf,plain,
! [B_174,A_173] :
( ~ p__pred_(f__xor_(A_173,B_174))
| ~ p__pred_(A_173)
| ~ p__pred_(B_174) ),
inference(nnf_transformation,[status(thm)],[f109]) ).
fof(f109_sk,plain,
! [B_174,A_173] :
( ~ p__pred_(f__xor_(A_173,B_174))
| ~ p__pred_(A_173)
| ~ p__pred_(B_174) ),
inference(skolemisation,[status(esa)],[f109_nnf]) ).
cnf(c109,plain,
( ~ p__pred_(f__xor_(X1,X0))
| ~ p__pred_(X1)
| ~ p__pred_(X0) ),
inference(cnf_transformation,[status(esa)],[f109_sk]) ).
cnf(f113,axiom,
( ~ p__pred_(f__nand_(A_181,B_182))
| ~ p__pred_(B_182)
| ~ p__pred_(A_181) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_115) ).
fof(f113_nnf,plain,
! [A_181,B_182] :
( ~ p__pred_(f__nand_(A_181,B_182))
| ~ p__pred_(B_182)
| ~ p__pred_(A_181) ),
inference(nnf_transformation,[status(thm)],[f113]) ).
fof(f113_sk,plain,
! [A_181,B_182] :
( ~ p__pred_(f__nand_(A_181,B_182))
| ~ p__pred_(B_182)
| ~ p__pred_(A_181) ),
inference(skolemisation,[status(esa)],[f113_nnf]) ).
cnf(c113,plain,
( ~ p__pred_(f__nand_(X0,X1))
| ~ p__pred_(X1)
| ~ p__pred_(X0) ),
inference(cnf_transformation,[status(esa)],[f113_sk]) ).
cnf(f116,axiom,
( ~ p__pred_(f__nor_(A_185,B_186))
| ~ p__pred_(B_186) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_118) ).
fof(f116_nnf,plain,
! [B_186,A_185] :
( ~ p__pred_(f__nor_(A_185,B_186))
| ~ p__pred_(B_186) ),
inference(nnf_transformation,[status(thm)],[f116]) ).
fof(f116_sk,plain,
! [B_186,A_185] :
( ~ p__pred_(f__nor_(A_185,B_186))
| ~ p__pred_(B_186) ),
inference(skolemisation,[status(esa)],[f116_nnf]) ).
cnf(c116,plain,
( ~ p__pred_(f__nor_(X1,X0))
| ~ p__pred_(X0) ),
inference(cnf_transformation,[status(esa)],[f116_sk]) ).
cnf(f117,axiom,
( ~ p__pred_(f__nor_(A_185,B_186))
| ~ p__pred_(A_185) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_119) ).
fof(f117_nnf,plain,
! [A_185,B_186] :
( ~ p__pred_(f__nor_(A_185,B_186))
| ~ p__pred_(A_185) ),
inference(nnf_transformation,[status(thm)],[f117]) ).
fof(f117_sk,plain,
! [A_185,B_186] :
( ~ p__pred_(f__nor_(A_185,B_186))
| ~ p__pred_(A_185) ),
inference(skolemisation,[status(esa)],[f117_nnf]) ).
cnf(c117,plain,
( ~ p__pred_(f__nor_(X0,X1))
| ~ p__pred_(X0) ),
inference(cnf_transformation,[status(esa)],[f117_sk]) ).
cnf(f123,axiom,
( ~ p__pred_(f__not_(A_197))
| ~ p__pred_(A_197) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_125) ).
fof(f123_nnf,plain,
! [A_197] :
( ~ p__pred_(f__not_(A_197))
| ~ p__pred_(A_197) ),
inference(nnf_transformation,[status(thm)],[f123]) ).
fof(f123_sk,plain,
! [A_197] :
( ~ p__pred_(f__not_(A_197))
| ~ p__pred_(A_197) ),
inference(skolemisation,[status(esa)],[f123_nnf]) ).
cnf(c123,plain,
( ~ p__pred_(f__not_(X0))
| ~ p__pred_(X0) ),
inference(cnf_transformation,[status(esa)],[f123_sk]) ).
cnf(f125,axiom,
( ~ p__pred_(f__lt_(A_198,B_199))
| ~ p_LES_EQU_(B_199,A_198) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_127) ).
fof(f125_nnf,plain,
! [B_199,A_198] :
( ~ p__pred_(f__lt_(A_198,B_199))
| ~ p_LES_EQU_(B_199,A_198) ),
inference(nnf_transformation,[status(thm)],[f125]) ).
fof(f125_sk,plain,
! [B_199,A_198] :
( ~ p__pred_(f__lt_(A_198,B_199))
| ~ p_LES_EQU_(B_199,A_198) ),
inference(skolemisation,[status(esa)],[f125_nnf]) ).
cnf(c125,plain,
( ~ p__pred_(f__lt_(X1,X0))
| ~ p_LES_EQU_(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f125_sk]) ).
cnf(f129,axiom,
( ~ p__pred_(f__gt_(A_202,B_203))
| ~ p_LES_EQU_(A_202,B_203) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_131) ).
fof(f129_nnf,plain,
! [A_202,B_203] :
( ~ p__pred_(f__gt_(A_202,B_203))
| ~ p_LES_EQU_(A_202,B_203) ),
inference(nnf_transformation,[status(thm)],[f129]) ).
fof(f129_sk,plain,
! [A_202,B_203] :
( ~ p__pred_(f__gt_(A_202,B_203))
| ~ p_LES_EQU_(A_202,B_203) ),
inference(skolemisation,[status(esa)],[f129_nnf]) ).
cnf(c129,plain,
( ~ p__pred_(f__gt_(X0,X1))
| ~ p_LES_EQU_(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f129_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c11,c12,c13,c14,c57,c58,c62,c95,c96,c109,c113,c116,c117,c123,c125,c129,c133,c134,c135,c137]) ).
cnf(g0_0,plain,
sF1 != false,
inference(rw,[status(thm)],[goal_0,t204]) ).
cnf(g0_1,plain,
sF1 != sF1,
inference(rw,[status(thm)],[g0_0,t22776]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV014-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.37 % Computer : n011.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 16:23:58 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 23.56/3.87 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 23.56/3.87 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------