%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUN085+2 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n001.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 02:29:32 PM UTC 2026
% Result : Theorem 5.21s 1.30s
% Output : Proof 5.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 12
% Syntax : Number of formulae : 157 ( 130 unt; 0 def)
% Number of atoms : 234 ( 154 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 126 ( 49 ~; 31 |; 46 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 8 con; 0-4 aty)
% Number of variables : 200 ( 25 sgn 46 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X7,Y10] :
( ~ r2(X7,Y10)
| ! [Y20] :
( Y20 != Y10
| ~ r1(Y20) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7a) ).
fof(f10_nnf,plain,
! [X7,Y10] :
( ~ r2(X7,Y10)
| ! [Y20] :
( Y20 != Y10
| ~ r1(Y20) ) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [Y20,Y10,X7] :
( ~ r2(X7,Y10)
| Y20 != Y10
| ~ r1(Y20) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c38,plain,
( ~ r2(X0,X1)
| X2 != X1
| ~ r1(X2) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(t75,plain,
or(not(r1(X1)),or(not(eq(X1,X2)),not(r2(X3,X2)))) = true,
inference(equality_encoding,[status(esa)],[c38]) ).
cnf(t95,plain,
or(not(r1(X1)),or(not(eq(X1,X2)),not(r2(X3,X2)))) = true,
inference(orient,[status(thm)],[t75]) ).
fof(f1,axiom,
! [X11] :
? [Y21] :
! [X12] :
( ( X12 = Y21
& r2(X11,X12) )
| ( X12 != Y21
& ~ r2(X11,X12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f1_nnf,plain,
! [X11] :
? [Y21] :
! [X12] :
( ( X12 = Y21
& r2(X11,X12) )
| ( X12 != Y21
& ~ r2(X11,X12) ) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X11,X12] :
( ( X12 = sk1(X11)
& r2(X11,X12) )
| ( X12 != sk1(X11)
& ~ r2(X11,X12) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1])],[f1_nnf]) ).
cnf(c6,plain,
( r2(X0,X2)
| X2 != sk1(X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(hi3,axiom,
ifeq(X0,sk1(X1),r2(X1,X0),true) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(hi40,axiom,
or(false,X0) = X0,
introduced(definition) ).
cnf(t43,plain,
r2(X1,or(false,sk1(X1))) = true,
inference(hyper_resolution,[status(thm)],[hi3,hi40]) ).
cnf(t17,plain,
or(false,X1) = X1,
introduced(definition) ).
cnf(t79,plain,
or(false,X1) = X1,
inference(orient,[status(thm)],[t17]) ).
cnf(t389,plain,
r2(X1,sk1(X1)) = true,
inference(step,[status(thm)],[t43,t79]) ).
cnf(t136,plain,
r2(X1,sk1(X1)) = true,
inference(orient,[status(thm)],[t389]) ).
fof(f2,axiom,
! [X13,X14] :
? [Y22] :
! [X15] :
( ( X15 = Y22
& r3(X13,X14,X15) )
| ( X15 != Y22
& ~ r3(X13,X14,X15) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f2_nnf,plain,
! [X13,X14] :
? [Y22] :
! [X15] :
( ( X15 = Y22
& r3(X13,X14,X15) )
| ( X15 != Y22
& ~ r3(X13,X14,X15) ) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X13,X14,X15] :
( ( X15 = sk2(X13,X14)
& r3(X13,X14,X15) )
| ( X15 != sk2(X13,X14)
& ~ r3(X13,X14,X15) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk2])],[f2_nnf]) ).
cnf(c9,plain,
( X3 = sk2(X0,X1)
| ~ r3(X0,X1,X3) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(hi4,axiom,
ifeq(r3(X0,X1,X2),true,X2,sk2(X0,X1)) = sk2(X0,X1),
inference(equality_encoding,[status(esa)],[c9]) ).
fof(f4,axiom,
! [X1,X8] :
? [Y4] :
( ? [Y7] :
( r3(X1,X8,Y7)
& r2(Y7,Y4) )
& ? [Y5] :
( Y5 = Y4
& ? [Y15] :
( r3(X1,Y15,Y5)
& r2(X8,Y15) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1a) ).
fof(f4_nnf,plain,
! [X1,X8] :
? [Y4] :
( ? [Y7] :
( r3(X1,X8,Y7)
& r2(Y7,Y4) )
& ? [Y5] :
( Y5 = Y4
& ? [Y15] :
( r3(X1,Y15,Y5)
& r2(X8,Y15) ) ) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X8,X1] :
( r3(X1,X8,sk7(X1,X8))
& r2(sk7(X1,X8),sk4(X1,X8))
& sk5(X1,X8) = sk4(X1,X8)
& r3(X1,sk6(X1,X8),sk5(X1,X8))
& r2(X8,sk6(X1,X8)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk4,sk5,sk6,sk7])],[f4_nnf]) ).
cnf(c17,plain,
r3(X0,sk6(X0,X1),sk5(X0,X1)),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(hi9,axiom,
r3(X0,sk6(X0,X1),sk5(X0,X1)) = true,
inference(equality_encoding,[status(esa)],[c17]) ).
cnf(c18,plain,
sk5(X0,X1) = sk4(X0,X1),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(hi10,axiom,
sk5(X0,X1) = sk4(X0,X1),
inference(equality_encoding,[status(esa)],[c18]) ).
cnf(t52,plain,
sk2(X1,sk6(X1,X2)) = sk5(X1,X2),
inference(hyper_resolution,[status(thm)],[hi4,hi9,hi10]) ).
cnf(c20,plain,
r3(X0,X1,sk7(X0,X1)),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(hi12,axiom,
r3(X0,X1,sk7(X0,X1)) = true,
inference(equality_encoding,[status(esa)],[c20]) ).
cnf(t38,plain,
sk7(X1,X2) = sk2(X1,X2),
inference(hyper_resolution,[status(thm)],[hi4,hi12]) ).
cnf(t214,plain,
sk2(X1,X2) = sk7(X1,X2),
inference(orient,[status(thm)],[t38]) ).
cnf(t397,plain,
sk7(X1,sk6(X1,X2)) = sk5(X1,X2),
inference(step,[status(thm)],[t52,t214]) ).
cnf(t218,plain,
sk7(X1,sk6(X1,X2)) = sk5(X1,X2),
inference(orient,[status(thm)],[t397]) ).
cnf(c5,plain,
( X2 = sk1(X0)
| ~ r2(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(hi2,axiom,
ifeq(r2(X0,X1),true,X1,sk1(X0)) = sk1(X0),
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(c16,plain,
r2(X1,sk6(X0,X1)),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(hi8,axiom,
r2(X0,sk6(X1,X0)) = true,
inference(equality_encoding,[status(esa)],[c16]) ).
cnf(t30,plain,
sk6(X1,X2) = sk1(X2),
inference(hyper_resolution,[status(thm)],[hi2,hi8]) ).
cnf(t255,plain,
sk6(X1,X2) = sk1(X2),
inference(orient,[status(thm)],[t30]) ).
cnf(t427,plain,
sk7(X1,sk1(X2)) = sk5(X1,X2),
inference(step,[status(thm)],[t218,t255]) ).
cnf(t256,plain,
sk7(X1,sk1(X2)) = sk5(X1,X2),
inference(rw,[status(thm)],[t427]) ).
cnf(t307,plain,
sk7(X1,sk1(X2)) = sk5(X1,X2),
inference(orient,[status(thm)],[t256]) ).
fof(f11,conjecture,
! [Y1] :
( ! [Y5] :
( ~ r1(Y5)
| Y1 != Y5 )
| ! [Y2] :
( ! [Y4] :
( ~ r2(Y4,Y2)
| ~ r1(Y4) )
| ! [Y3] :
( ~ r3(Y3,Y2,Y1)
| ~ r1(Y3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zeroplusoneidzero) ).
fof(f11_neg,negated_conjecture,
~ ! [Y1] :
( ! [Y5] :
( ~ r1(Y5)
| Y1 != Y5 )
| ! [Y2] :
( ! [Y4] :
( ~ r2(Y4,Y2)
| ~ r1(Y4) )
| ! [Y3] :
( ~ r3(Y3,Y2,Y1)
| ~ r1(Y3) ) ) ),
inference(negated_conjecture,[status(cth)],[f11]) ).
fof(f11_nnf,plain,
? [Y1] :
( ? [Y5] :
( r1(Y5)
& Y1 = Y5 )
& ? [Y2] :
( ? [Y4] :
( r2(Y4,Y2)
& r1(Y4) )
& ? [Y3] :
( r3(Y3,Y2,Y1)
& r1(Y3) ) ) ),
inference(nnf_transformation,[status(thm)],[f11_neg]) ).
fof(f11_sk,plain,
( r1(sk24)
& sk20 = sk24
& r2(sk23,sk21)
& r1(sk23)
& r3(sk22,sk21,sk20)
& r1(sk22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk20,sk21,sk22,sk23,sk24])],[f11_nnf]) ).
cnf(c42,plain,
r2(sk23,sk21),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(hi33,negated_conjecture,
r2(sk23,sk21) = true,
inference(equality_encoding,[status(esa)],[c42]) ).
cnf(t9,plain,
sk1(sk23) = sk21,
inference(hyper_resolution,[status(thm)],[hi2,hi33]) ).
fof(f0,axiom,
? [Y24] :
! [X19] :
( ( X19 = Y24
& r1(X19) )
| ( X19 != Y24
& ~ r1(X19) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f0_nnf,plain,
? [Y24] :
! [X19] :
( ( X19 = Y24
& r1(X19) )
| ( X19 != Y24
& ~ r1(X19) ) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X19] :
( ( X19 = sk0
& r1(X19) )
| ( X19 != sk0
& ~ r1(X19) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f0_nnf]) ).
cnf(c1,plain,
( X1 = sk0
| ~ r1(X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi0,axiom,
ifeq(r1(X0),true,X0,sk0) = sk0,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(c44,plain,
r1(sk24),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(hi35,negated_conjecture,
r1(sk24) = true,
inference(equality_encoding,[status(esa)],[c44]) ).
cnf(t2,plain,
sk24 = sk0,
inference(hyper_resolution,[status(thm)],[hi0,hi35]) ).
cnf(c39,plain,
r1(sk22),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(hi30,negated_conjecture,
r1(sk22) = true,
inference(equality_encoding,[status(esa)],[c39]) ).
cnf(t0,plain,
sk22 = sk0,
inference(hyper_resolution,[status(thm)],[hi0,hi30]) ).
cnf(t228,plain,
sk0 = sk22,
inference(orient,[status(thm)],[t0]) ).
cnf(c41,plain,
r1(sk23),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(hi32,negated_conjecture,
r1(sk23) = true,
inference(equality_encoding,[status(esa)],[c41]) ).
cnf(t1,plain,
sk23 = sk0,
inference(hyper_resolution,[status(thm)],[hi0,hi32]) ).
cnf(t406,plain,
sk23 = sk22,
inference(step,[status(thm)],[t1,t228]) ).
cnf(t233,plain,
sk22 = sk23,
inference(orient,[status(thm)],[t406]) ).
cnf(t409,plain,
sk0 = sk23,
inference(step,[status(thm)],[t228,t233]) ).
cnf(t236,plain,
sk0 = sk23,
inference(orient,[status(thm)],[t409]) ).
cnf(t415,plain,
sk24 = sk23,
inference(step,[status(thm)],[t2,t236]) ).
cnf(t242,plain,
sk23 = sk24,
inference(orient,[status(thm)],[t415]) ).
cnf(t429,plain,
sk1(sk24) = sk21,
inference(step,[status(thm)],[t9,t242]) ).
cnf(t258,plain,
sk1(sk24) = sk21,
inference(orient,[status(thm)],[t429]) ).
cnf(t308,plain,
sk5(X1,sk24) = sk7(X1,sk21),
inference(cp,[status(thm)],[t307,t258]) ).
cnf(c19,plain,
r2(sk7(X0,X1),sk4(X0,X1)),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(hi11,axiom,
r2(sk7(X0,X1),sk4(X0,X1)) = true,
inference(equality_encoding,[status(esa)],[c19]) ).
cnf(t49,plain,
sk1(sk7(X1,X2)) = sk4(X1,X2),
inference(hyper_resolution,[status(thm)],[hi2,hi11,hi10]) ).
cnf(t262,plain,
sk1(sk7(X1,X2)) = sk4(X1,X2),
inference(orient,[status(thm)],[t49]) ).
cnf(t37,plain,
sk5(X1,X2) = sk4(X1,X2),
inference(equality_encoding,[status(esa)],[c18]) ).
cnf(t283,plain,
sk4(X1,X2) = sk5(X1,X2),
inference(orient,[status(thm)],[t37]) ).
cnf(t437,plain,
sk1(sk7(X1,X2)) = sk5(X1,X2),
inference(step,[status(thm)],[t262,t283]) ).
cnf(t284,plain,
sk1(sk7(X1,X2)) = sk5(X1,X2),
inference(orient,[status(thm)],[t437]) ).
fof(f7,axiom,
! [X4] :
? [Y9] :
( Y9 = X4
& ? [Y16] :
( r3(X4,Y16,Y9)
& r1(Y16) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4a) ).
fof(f7_nnf,plain,
! [X4] :
? [Y9] :
( Y9 = X4
& ? [Y16] :
( r3(X4,Y16,Y9)
& r1(Y16) ) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X4] :
( sk12(X4) = X4
& r3(X4,sk13(X4),sk12(X4))
& r1(sk13(X4)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk12,sk13])],[f7_nnf]) ).
cnf(c28,plain,
r3(X0,sk13(X0),sk12(X0)),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(hi20,axiom,
r3(X0,sk13(X0),sk12(X0)) = true,
inference(equality_encoding,[status(esa)],[c28]) ).
cnf(c29,plain,
sk12(X0) = X0,
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(hi21,axiom,
sk12(X0) = X0,
inference(equality_encoding,[status(esa)],[c29]) ).
cnf(t29,plain,
sk2(X1,sk13(X1)) = X1,
inference(hyper_resolution,[status(thm)],[hi4,hi20,hi21]) ).
cnf(t87,plain,
sk2(X1,sk13(X1)) = X1,
inference(orient,[status(thm)],[t29]) ).
cnf(t396,plain,
sk7(X1,sk13(X1)) = X1,
inference(step,[status(thm)],[t87,t214]) ).
cnf(t217,plain,
sk7(X1,sk13(X1)) = X1,
inference(rw,[status(thm)],[t396]) ).
cnf(c27,plain,
r1(sk13(X0)),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(hi19,axiom,
r1(sk13(X0)) = true,
inference(equality_encoding,[status(esa)],[c27]) ).
cnf(t11,plain,
sk13(X1) = sk0,
inference(hyper_resolution,[status(thm)],[hi0,hi19]) ).
cnf(t226,plain,
sk13(X1) = sk0,
inference(orient,[status(thm)],[t11]) ).
cnf(t401,plain,
sk13(X1) = sk22,
inference(step,[status(thm)],[t226,t228]) ).
cnf(t229,plain,
sk13(X1) = sk22,
inference(orient,[status(thm)],[t401]) ).
cnf(t407,plain,
sk13(X1) = sk23,
inference(step,[status(thm)],[t229,t233]) ).
cnf(t234,plain,
sk13(X1) = sk23,
inference(orient,[status(thm)],[t407]) ).
cnf(t416,plain,
sk13(X1) = sk24,
inference(step,[status(thm)],[t234,t242]) ).
cnf(t243,plain,
sk13(X1) = sk24,
inference(orient,[status(thm)],[t416]) ).
cnf(t443,plain,
sk7(X1,sk24) = X1,
inference(step,[status(thm)],[t217,t243]) ).
cnf(t301,plain,
sk7(X1,sk24) = X1,
inference(orient,[status(thm)],[t443]) ).
cnf(t302,plain,
sk5(X1,sk24) = sk1(X1),
inference(cp,[status(thm)],[t284,t301]) ).
cnf(t304,plain,
sk5(X1,sk24) = sk1(X1),
inference(orient,[status(thm)],[t302]) ).
cnf(t447,plain,
sk1(X1) = sk7(X1,sk21),
inference(step,[status(thm)],[t308,t304]) ).
cnf(t312,plain,
sk7(X1,sk21) = sk1(X1),
inference(orient,[status(thm)],[t447]) ).
cnf(c40,plain,
r3(sk22,sk21,sk20),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(hi31,negated_conjecture,
r3(sk22,sk21,sk20) = true,
inference(equality_encoding,[status(esa)],[c40]) ).
cnf(t24,plain,
sk2(sk22,sk21) = sk20,
inference(hyper_resolution,[status(thm)],[hi4,hi31]) ).
cnf(t398,plain,
sk7(sk22,sk21) = sk20,
inference(step,[status(thm)],[t24,t214]) ).
cnf(t220,plain,
sk7(sk22,sk21) = sk20,
inference(orient,[status(thm)],[t398]) ).
cnf(t411,plain,
sk7(sk23,sk21) = sk20,
inference(step,[status(thm)],[t220,t233]) ).
cnf(t238,plain,
sk7(sk23,sk21) = sk20,
inference(rw,[status(thm)],[t411]) ).
cnf(t440,plain,
sk7(sk24,sk21) = sk20,
inference(step,[status(thm)],[t238,t242]) ).
cnf(c43,plain,
sk20 = sk24,
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(t3,plain,
sk24 = sk20,
inference(equality_encoding,[status(esa)],[c43]) ).
cnf(t279,plain,
sk20 = sk24,
inference(orient,[status(thm)],[t3]) ).
cnf(t441,plain,
sk7(sk24,sk21) = sk24,
inference(step,[status(thm)],[t440,t279]) ).
cnf(t288,plain,
sk7(sk24,sk21) = sk24,
inference(orient,[status(thm)],[t441]) ).
cnf(t448,plain,
sk1(sk24) = sk24,
inference(step,[status(thm)],[t288,t312]) ).
cnf(t449,plain,
sk21 = sk24,
inference(step,[status(thm)],[t448,t258]) ).
cnf(t315,plain,
sk21 = sk24,
inference(rw,[status(thm)],[t449]) ).
cnf(t316,plain,
sk21 = sk24,
inference(orient,[status(thm)],[t315]) ).
cnf(t452,plain,
sk7(X1,sk24) = sk1(X1),
inference(step,[status(thm)],[t312,t316]) ).
cnf(t453,plain,
X1 = sk1(X1),
inference(step,[status(thm)],[t452,t301]) ).
cnf(t319,plain,
X1 = sk1(X1),
inference(rw,[status(thm)],[t453]) ).
cnf(t322,plain,
sk1(X1) = X1,
inference(orient,[status(thm)],[t319]) ).
cnf(t468,plain,
r2(X1,X1) = true,
inference(step,[status(thm)],[t136,t322]) ).
cnf(t333,plain,
r2(X1,X1) = true,
inference(rw,[status(thm)],[t468]) ).
cnf(t341,plain,
r2(X1,X1) = true,
inference(orient,[status(thm)],[t333]) ).
cnf(t345,plain,
true = or(not(r1(X1)),or(not(eq(X1,X2)),not(true))),
inference(cp,[status(thm)],[t95,t341]) ).
cnf(t5,plain,
not(true) = false,
introduced(definition) ).
cnf(t224,plain,
not(true) = false,
inference(orient,[status(thm)],[t5]) ).
cnf(t488,plain,
true = or(not(r1(X1)),or(not(eq(X1,X2)),false)),
inference(step,[status(thm)],[t345,t224]) ).
cnf(t15,plain,
or(X1,false) = X1,
introduced(definition) ).
cnf(t78,plain,
or(X1,false) = X1,
inference(orient,[status(thm)],[t15]) ).
cnf(t489,plain,
true = or(not(r1(X1)),not(eq(X1,X2))),
inference(step,[status(thm)],[t488,t78]) ).
cnf(t375,plain,
or(not(r1(X1)),not(eq(X1,X2))) = true,
inference(orient,[status(thm)],[t489]) ).
cnf(t14,plain,
eq(X1,X1) = true,
introduced(definition) ).
cnf(t183,plain,
eq(X1,X1) = true,
inference(orient,[status(thm)],[t14]) ).
cnf(t377,plain,
true = or(not(r1(X1)),not(true)),
inference(cp,[status(thm)],[t375,t183]) ).
cnf(t490,plain,
true = or(not(r1(X1)),false),
inference(step,[status(thm)],[t377,t224]) ).
cnf(t491,plain,
true = not(r1(X1)),
inference(step,[status(thm)],[t490,t78]) ).
cnf(t378,plain,
not(r1(X1)) = true,
inference(orient,[status(thm)],[t491]) ).
cnf(t8,plain,
r1(sk24) = true,
inference(equality_encoding,[status(esa)],[c44]) ).
cnf(t128,plain,
r1(sk24) = true,
inference(orient,[status(thm)],[t8]) ).
cnf(t379,plain,
true = not(true),
inference(cp,[status(thm)],[t378,t128]) ).
cnf(t492,plain,
true = false,
inference(step,[status(thm)],[t379,t224]) ).
cnf(t381,plain,
false = true,
inference(orient,[status(thm)],[t492]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c38]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t381]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUN085+2 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n001.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 06:05:21 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.21/1.30 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.21/1.30 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------