%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV543-1.004 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n013.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 03:13:36 PM UTC 2026
% Result : Unsatisfiable 12.43s 22.15s
% Output : Proof 12.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 56
% Number of leaves : 25
% Syntax : Number of formulae : 224 ( 224 unt; 0 def)
% Number of atoms : 224 ( 223 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 26 con; 0-3 aty)
% Number of variables : 52 ( 4 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f2,axiom,
store(store(A,I,select(A,J)),J,select(A,I)) = store(store(A,J,select(A,I)),I,select(A,J)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3) ).
fof(f2_nnf,plain,
! [A,I,J] : store(store(A,I,select(A,J)),J,select(A,I)) = store(store(A,J,select(A,I)),I,select(A,J)),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [A,I,J] : store(store(A,I,select(A,J)),J,select(A,I)) = store(store(A,J,select(A,I)),I,select(A,J)),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
store(store(X0,X1,select(X0,X2)),X2,select(X0,X1)) = store(store(X0,X2,select(X0,X1)),X1,select(X0,X2)),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(t35,plain,
store(store(X1,X2,select(X1,X3)),X3,select(X1,X2)) = store(store(X1,X3,select(X1,X2)),X2,select(X1,X3)),
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(t41,plain,
store(store(X1,X2,select(X1,X3)),X3,select(X1,X2)) = store(store(X1,X3,select(X1,X2)),X2,select(X1,X3)),
inference(orient,[status(thm)],[t35]) ).
cnf(f26,hypothesis,
e_437 = select(a_436,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp23) ).
fof(f26_nnf,plain,
e_437 = select(a_436,i2),
inference(nnf_transformation,[status(thm)],[f26]) ).
cnf(c26,plain,
e_437 = select(a_436,i2),
inference(cnf_transformation,[status(esa)],[f26_nnf]) ).
cnf(t16,plain,
select(a_436,i2) = e_437,
inference(equality_encoding,[status(esa)],[c26]) ).
cnf(t79,plain,
select(a_436,i2) = e_437,
inference(orient,[status(thm)],[t16]) ).
cnf(t80,plain,
store(store(a_436,i2,select(a_436,X1)),X1,select(a_436,i2)) = store(store(a_436,X1,e_437),i2,select(a_436,X1)),
inference(cp,[status(thm)],[t41,t79]) ).
cnf(t1337,plain,
store(store(a_436,i2,select(a_436,X1)),X1,e_437) = store(store(a_436,X1,e_437),i2,select(a_436,X1)),
inference(step,[status(thm)],[t80,t79]) ).
cnf(t1136,plain,
store(store(a_436,i2,select(a_436,X1)),X1,e_437) = store(store(a_436,X1,e_437),i2,select(a_436,X1)),
inference(orient,[status(thm)],[t1337]) ).
cnf(f27,hypothesis,
e_439 = select(a_436,i0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp24) ).
fof(f27_nnf,plain,
e_439 = select(a_436,i0),
inference(nnf_transformation,[status(thm)],[f27]) ).
cnf(c27,plain,
e_439 = select(a_436,i0),
inference(cnf_transformation,[status(esa)],[f27_nnf]) ).
cnf(t15,plain,
select(a_436,i0) = e_439,
inference(equality_encoding,[status(esa)],[c27]) ).
cnf(t82,plain,
select(a_436,i0) = e_439,
inference(orient,[status(thm)],[t15]) ).
cnf(t1138,plain,
store(store(a_436,i0,e_437),i2,select(a_436,i0)) = store(store(a_436,i2,e_439),i0,e_437),
inference(cp,[status(thm)],[t1136,t82]) ).
cnf(f15,hypothesis,
a_438 = store(a_436,i0,e_437),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp12) ).
fof(f15_nnf,plain,
a_438 = store(a_436,i0,e_437),
inference(nnf_transformation,[status(thm)],[f15]) ).
cnf(c15,plain,
a_438 = store(a_436,i0,e_437),
inference(cnf_transformation,[status(esa)],[f15_nnf]) ).
cnf(t29,plain,
store(a_436,i0,e_437) = a_438,
inference(equality_encoding,[status(esa)],[c15]) ).
cnf(t49,plain,
store(a_436,i0,e_437) = a_438,
inference(orient,[status(thm)],[t29]) ).
cnf(t1338,plain,
store(a_438,i2,select(a_436,i0)) = store(store(a_436,i2,e_439),i0,e_437),
inference(step,[status(thm)],[t1138,t49]) ).
cnf(t1339,plain,
store(a_438,i2,e_439) = store(store(a_436,i2,e_439),i0,e_437),
inference(step,[status(thm)],[t1338,t82]) ).
cnf(f16,hypothesis,
a_440 = store(a_438,i2,e_439),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp13) ).
fof(f16_nnf,plain,
a_440 = store(a_438,i2,e_439),
inference(nnf_transformation,[status(thm)],[f16]) ).
cnf(c16,plain,
a_440 = store(a_438,i2,e_439),
inference(cnf_transformation,[status(esa)],[f16_nnf]) ).
cnf(t30,plain,
store(a_438,i2,e_439) = a_440,
inference(equality_encoding,[status(esa)],[c16]) ).
cnf(t61,plain,
store(a_438,i2,e_439) = a_440,
inference(orient,[status(thm)],[t30]) ).
cnf(t1340,plain,
a_440 = store(store(a_436,i2,e_439),i0,e_437),
inference(step,[status(thm)],[t1339,t61]) ).
cnf(f9,hypothesis,
a_428 = store(a_426,i2,e_427),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp6) ).
fof(f9_nnf,plain,
a_428 = store(a_426,i2,e_427),
inference(nnf_transformation,[status(thm)],[f9]) ).
cnf(c9,plain,
a_428 = store(a_426,i2,e_427),
inference(cnf_transformation,[status(esa)],[f9_nnf]) ).
cnf(t24,plain,
store(a_426,i2,e_427) = a_428,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(t55,plain,
store(a_426,i2,e_427) = a_428,
inference(orient,[status(thm)],[t24]) ).
cnf(f8,hypothesis,
a_426 = store(a_424,i2,e_425),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp5) ).
fof(f8_nnf,plain,
a_426 = store(a_424,i2,e_425),
inference(nnf_transformation,[status(thm)],[f8]) ).
cnf(c8,plain,
a_426 = store(a_424,i2,e_425),
inference(cnf_transformation,[status(esa)],[f8_nnf]) ).
cnf(t23,plain,
store(a_424,i2,e_425) = a_426,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(t63,plain,
store(a_424,i2,e_425) = a_426,
inference(orient,[status(thm)],[t23]) ).
cnf(f0,axiom,
select(store(A,I,E),I) = E,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).
fof(f0_nnf,plain,
! [A,I,E] : select(store(A,I,E),I) = E,
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [A,I,E] : select(store(A,I,E),I) = E,
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
select(store(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(t32,plain,
select(store(X1,X2,X3),X2) = X3,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t36,plain,
select(store(X1,X2,X3),X2) = X3,
inference(orient,[status(thm)],[t32]) ).
cnf(t64,plain,
e_425 = select(a_426,i2),
inference(cp,[status(thm)],[t36,t63]) ).
cnf(f23,hypothesis,
e_429 = select(a_426,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp20) ).
fof(f23_nnf,plain,
e_429 = select(a_426,i2),
inference(nnf_transformation,[status(thm)],[f23]) ).
cnf(c23,plain,
e_429 = select(a_426,i2),
inference(cnf_transformation,[status(esa)],[f23_nnf]) ).
cnf(t12,plain,
select(a_426,i2) = e_429,
inference(equality_encoding,[status(esa)],[c23]) ).
cnf(t97,plain,
select(a_426,i2) = e_429,
inference(orient,[status(thm)],[t12]) ).
cnf(t1148,plain,
e_425 = e_429,
inference(step,[status(thm)],[t64,t97]) ).
cnf(t177,plain,
e_425 = e_429,
inference(orient,[status(thm)],[t1148]) ).
cnf(t1151,plain,
store(a_424,i2,e_429) = a_426,
inference(step,[status(thm)],[t63,t177]) ).
cnf(t180,plain,
store(a_424,i2,e_429) = a_426,
inference(rw,[status(thm)],[t1151]) ).
cnf(t200,plain,
store(a_424,i2,e_429) = a_426,
inference(orient,[status(thm)],[t180]) ).
cnf(t44,plain,
select(X1,X2) = select(store(store(X1,X3,select(X1,X2)),X2,select(X1,X3)),X3),
inference(cp,[status(thm)],[t36,t41]) ).
cnf(t202,plain,
select(store(store(X1,X2,select(X1,X3)),X3,select(X1,X2)),X2) = select(X1,X3),
inference(orient,[status(thm)],[t44]) ).
cnf(f19,hypothesis,
e_421 = select(a_418,i0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp16) ).
fof(f19_nnf,plain,
e_421 = select(a_418,i0),
inference(nnf_transformation,[status(thm)],[f19]) ).
cnf(c19,plain,
e_421 = select(a_418,i0),
inference(cnf_transformation,[status(esa)],[f19_nnf]) ).
cnf(t7,plain,
select(a_418,i0) = e_421,
inference(equality_encoding,[status(esa)],[c19]) ).
cnf(t73,plain,
select(a_418,i0) = e_421,
inference(orient,[status(thm)],[t7]) ).
cnf(f6,hypothesis,
a_422 = store(a_420,i3,e_421),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp3) ).
fof(f6_nnf,plain,
a_422 = store(a_420,i3,e_421),
inference(nnf_transformation,[status(thm)],[f6]) ).
cnf(c6,plain,
a_422 = store(a_420,i3,e_421),
inference(cnf_transformation,[status(esa)],[f6_nnf]) ).
cnf(t21,plain,
store(a_420,i3,e_421) = a_422,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(t69,plain,
store(a_420,i3,e_421) = a_422,
inference(orient,[status(thm)],[t21]) ).
cnf(t70,plain,
e_421 = select(a_422,i3),
inference(cp,[status(thm)],[t36,t69]) ).
cnf(f21,hypothesis,
e_425 = select(a_422,i3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp18) ).
fof(f21_nnf,plain,
e_425 = select(a_422,i3),
inference(nnf_transformation,[status(thm)],[f21]) ).
cnf(c21,plain,
e_425 = select(a_422,i3),
inference(cnf_transformation,[status(esa)],[f21_nnf]) ).
cnf(t10,plain,
select(a_422,i3) = e_425,
inference(equality_encoding,[status(esa)],[c21]) ).
cnf(t88,plain,
select(a_422,i3) = e_425,
inference(orient,[status(thm)],[t10]) ).
cnf(t1149,plain,
select(a_422,i3) = e_429,
inference(step,[status(thm)],[t88,t177]) ).
cnf(t178,plain,
select(a_422,i3) = e_429,
inference(orient,[status(thm)],[t1149]) ).
cnf(t1156,plain,
e_421 = e_429,
inference(step,[status(thm)],[t70,t178]) ).
cnf(t189,plain,
e_421 = e_429,
inference(orient,[status(thm)],[t1156]) ).
cnf(t1157,plain,
select(a_418,i0) = e_429,
inference(step,[status(thm)],[t73,t189]) ).
cnf(t190,plain,
select(a_418,i0) = e_429,
inference(orient,[status(thm)],[t1157]) ).
cnf(t224,plain,
select(a_418,i0) = select(store(store(a_418,X1,e_429),i0,select(a_418,X1)),X1),
inference(cp,[status(thm)],[t202,t190]) ).
cnf(t1194,plain,
e_429 = select(store(store(a_418,X1,e_429),i0,select(a_418,X1)),X1),
inference(step,[status(thm)],[t224,t190]) ).
cnf(t584,plain,
select(store(store(a_418,X1,e_429),i0,select(a_418,X1)),X1) = e_429,
inference(orient,[status(thm)],[t1194]) ).
cnf(f11,hypothesis,
a_431 = store(a_418,i3,e_421),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp8) ).
fof(f11_nnf,plain,
a_431 = store(a_418,i3,e_421),
inference(nnf_transformation,[status(thm)],[f11]) ).
cnf(c11,plain,
a_431 = store(a_418,i3,e_421),
inference(cnf_transformation,[status(esa)],[f11_nnf]) ).
cnf(t20,plain,
store(a_418,i3,e_421) = a_431,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(t47,plain,
store(a_418,i3,e_421) = a_431,
inference(orient,[status(thm)],[t20]) ).
cnf(t1162,plain,
store(a_418,i3,e_429) = a_431,
inference(step,[status(thm)],[t47,t189]) ).
cnf(t195,plain,
store(a_418,i3,e_429) = a_431,
inference(rw,[status(thm)],[t1162]) ).
cnf(t258,plain,
store(a_418,i3,e_429) = a_431,
inference(orient,[status(thm)],[t195]) ).
cnf(t585,plain,
e_429 = select(store(a_431,i0,select(a_418,i3)),i3),
inference(cp,[status(thm)],[t584,t258]) ).
cnf(f18,hypothesis,
e_419 = select(a_418,i3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp15) ).
fof(f18_nnf,plain,
e_419 = select(a_418,i3),
inference(nnf_transformation,[status(thm)],[f18]) ).
cnf(c18,plain,
e_419 = select(a_418,i3),
inference(cnf_transformation,[status(esa)],[f18_nnf]) ).
cnf(t8,plain,
select(a_418,i3) = e_419,
inference(equality_encoding,[status(esa)],[c18]) ).
cnf(t76,plain,
select(a_418,i3) = e_419,
inference(orient,[status(thm)],[t8]) ).
cnf(t1195,plain,
e_429 = select(store(a_431,i0,e_419),i3),
inference(step,[status(thm)],[t585,t76]) ).
cnf(f12,hypothesis,
a_432 = store(a_431,i0,e_419),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp9) ).
fof(f12_nnf,plain,
a_432 = store(a_431,i0,e_419),
inference(nnf_transformation,[status(thm)],[f12]) ).
cnf(c12,plain,
a_432 = store(a_431,i0,e_419),
inference(cnf_transformation,[status(esa)],[f12_nnf]) ).
cnf(t26,plain,
store(a_431,i0,e_419) = a_432,
inference(equality_encoding,[status(esa)],[c12]) ).
cnf(t67,plain,
store(a_431,i0,e_419) = a_432,
inference(orient,[status(thm)],[t26]) ).
cnf(t1196,plain,
e_429 = select(a_432,i3),
inference(step,[status(thm)],[t1195,t67]) ).
cnf(f25,hypothesis,
e_435 = select(a_432,i3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp22) ).
fof(f25_nnf,plain,
e_435 = select(a_432,i3),
inference(nnf_transformation,[status(thm)],[f25]) ).
cnf(c25,plain,
e_435 = select(a_432,i3),
inference(cnf_transformation,[status(esa)],[f25_nnf]) ).
cnf(t14,plain,
select(a_432,i3) = e_435,
inference(equality_encoding,[status(esa)],[c25]) ).
cnf(t94,plain,
select(a_432,i3) = e_435,
inference(orient,[status(thm)],[t14]) ).
cnf(f14,hypothesis,
a_436 = store(a_434,i2,e_435),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp11) ).
fof(f14_nnf,plain,
a_436 = store(a_434,i2,e_435),
inference(nnf_transformation,[status(thm)],[f14]) ).
cnf(c14,plain,
a_436 = store(a_434,i2,e_435),
inference(cnf_transformation,[status(esa)],[f14_nnf]) ).
cnf(t28,plain,
store(a_434,i2,e_435) = a_436,
inference(equality_encoding,[status(esa)],[c14]) ).
cnf(t65,plain,
store(a_434,i2,e_435) = a_436,
inference(orient,[status(thm)],[t28]) ).
cnf(t66,plain,
e_435 = select(a_436,i2),
inference(cp,[status(thm)],[t36,t65]) ).
cnf(t1152,plain,
e_435 = e_437,
inference(step,[status(thm)],[t66,t79]) ).
cnf(t181,plain,
e_435 = e_437,
inference(orient,[status(thm)],[t1152]) ).
cnf(t1153,plain,
select(a_432,i3) = e_437,
inference(step,[status(thm)],[t94,t181]) ).
cnf(t182,plain,
select(a_432,i3) = e_437,
inference(orient,[status(thm)],[t1153]) ).
cnf(t1197,plain,
e_429 = e_437,
inference(step,[status(thm)],[t1196,t182]) ).
cnf(t593,plain,
e_429 = e_437,
inference(orient,[status(thm)],[t1197]) ).
cnf(t1214,plain,
store(a_424,i2,e_437) = a_426,
inference(step,[status(thm)],[t200,t593]) ).
cnf(t610,plain,
store(a_424,i2,e_437) = a_426,
inference(rw,[status(thm)],[t1214]) ).
cnf(t627,plain,
store(a_424,i2,e_437) = a_426,
inference(orient,[status(thm)],[t610]) ).
cnf(f7,hypothesis,
a_424 = store(a_422,i3,e_423),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp4) ).
fof(f7_nnf,plain,
a_424 = store(a_422,i3,e_423),
inference(nnf_transformation,[status(thm)],[f7]) ).
cnf(c7,plain,
a_424 = store(a_422,i3,e_423),
inference(cnf_transformation,[status(esa)],[f7_nnf]) ).
cnf(t22,plain,
store(a_422,i3,e_423) = a_424,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(t51,plain,
store(a_422,i3,e_423) = a_424,
inference(orient,[status(thm)],[t22]) ).
cnf(t74,plain,
store(store(a_418,i0,select(a_418,X1)),X1,select(a_418,i0)) = store(store(a_418,X1,e_421),i0,select(a_418,X1)),
inference(cp,[status(thm)],[t41,t73]) ).
cnf(t1198,plain,
select(a_418,i0) = e_437,
inference(step,[status(thm)],[t190,t593]) ).
cnf(t594,plain,
select(a_418,i0) = e_437,
inference(orient,[status(thm)],[t1198]) ).
cnf(t1255,plain,
store(store(a_418,i0,select(a_418,X1)),X1,e_437) = store(store(a_418,X1,e_421),i0,select(a_418,X1)),
inference(step,[status(thm)],[t74,t594]) ).
cnf(t1210,plain,
e_421 = e_437,
inference(step,[status(thm)],[t189,t593]) ).
cnf(t606,plain,
e_421 = e_437,
inference(orient,[status(thm)],[t1210]) ).
cnf(t1256,plain,
store(store(a_418,i0,select(a_418,X1)),X1,e_437) = store(store(a_418,X1,e_437),i0,select(a_418,X1)),
inference(step,[status(thm)],[t1255,t606]) ).
cnf(t1019,plain,
store(store(a_418,i0,select(a_418,X1)),X1,e_437) = store(store(a_418,X1,e_437),i0,select(a_418,X1)),
inference(orient,[status(thm)],[t1256]) ).
cnf(t1021,plain,
store(store(a_418,i3,e_437),i0,select(a_418,i3)) = store(store(a_418,i0,e_419),i3,e_437),
inference(cp,[status(thm)],[t1019,t76]) ).
cnf(t1212,plain,
store(a_418,i3,e_437) = a_431,
inference(step,[status(thm)],[t258,t593]) ).
cnf(t608,plain,
store(a_418,i3,e_437) = a_431,
inference(rw,[status(thm)],[t1212]) ).
cnf(t623,plain,
store(a_418,i3,e_437) = a_431,
inference(orient,[status(thm)],[t608]) ).
cnf(t1257,plain,
store(a_431,i0,select(a_418,i3)) = store(store(a_418,i0,e_419),i3,e_437),
inference(step,[status(thm)],[t1021,t623]) ).
cnf(t1258,plain,
store(a_431,i0,e_419) = store(store(a_418,i0,e_419),i3,e_437),
inference(step,[status(thm)],[t1257,t76]) ).
cnf(t1259,plain,
a_432 = store(store(a_418,i0,e_419),i3,e_437),
inference(step,[status(thm)],[t1258,t67]) ).
cnf(f5,hypothesis,
a_420 = store(a_418,i0,e_419),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp2) ).
fof(f5_nnf,plain,
a_420 = store(a_418,i0,e_419),
inference(nnf_transformation,[status(thm)],[f5]) ).
cnf(c5,plain,
a_420 = store(a_418,i0,e_419),
inference(cnf_transformation,[status(esa)],[f5_nnf]) ).
cnf(t19,plain,
store(a_418,i0,e_419) = a_420,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(t45,plain,
store(a_418,i0,e_419) = a_420,
inference(orient,[status(thm)],[t19]) ).
cnf(t1260,plain,
a_432 = store(a_420,i3,e_437),
inference(step,[status(thm)],[t1259,t45]) ).
cnf(t1161,plain,
store(a_420,i3,e_429) = a_422,
inference(step,[status(thm)],[t69,t189]) ).
cnf(t194,plain,
store(a_420,i3,e_429) = a_422,
inference(rw,[status(thm)],[t1161]) ).
cnf(t256,plain,
store(a_420,i3,e_429) = a_422,
inference(orient,[status(thm)],[t194]) ).
cnf(t1213,plain,
store(a_420,i3,e_437) = a_422,
inference(step,[status(thm)],[t256,t593]) ).
cnf(t609,plain,
store(a_420,i3,e_437) = a_422,
inference(rw,[status(thm)],[t1213]) ).
cnf(t625,plain,
store(a_420,i3,e_437) = a_422,
inference(orient,[status(thm)],[t609]) ).
cnf(t1261,plain,
a_432 = a_422,
inference(step,[status(thm)],[t1260,t625]) ).
cnf(t1024,plain,
a_422 = a_432,
inference(orient,[status(thm)],[t1261]) ).
cnf(t1266,plain,
store(a_432,i3,e_423) = a_424,
inference(step,[status(thm)],[t51,t1024]) ).
cnf(t1028,plain,
store(a_432,i3,e_423) = a_424,
inference(rw,[status(thm)],[t1266]) ).
cnf(f20,hypothesis,
e_423 = select(a_422,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp17) ).
fof(f20_nnf,plain,
e_423 = select(a_422,i2),
inference(nnf_transformation,[status(thm)],[f20]) ).
cnf(c20,plain,
e_423 = select(a_422,i2),
inference(cnf_transformation,[status(esa)],[f20_nnf]) ).
cnf(t9,plain,
select(a_422,i2) = e_423,
inference(equality_encoding,[status(esa)],[c20]) ).
cnf(t85,plain,
select(a_422,i2) = e_423,
inference(orient,[status(thm)],[t9]) ).
cnf(t1264,plain,
select(a_432,i2) = e_423,
inference(step,[status(thm)],[t85,t1024]) ).
cnf(f24,hypothesis,
e_433 = select(a_432,i2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp21) ).
fof(f24_nnf,plain,
e_433 = select(a_432,i2),
inference(nnf_transformation,[status(thm)],[f24]) ).
cnf(c24,plain,
e_433 = select(a_432,i2),
inference(cnf_transformation,[status(esa)],[f24_nnf]) ).
cnf(t13,plain,
select(a_432,i2) = e_433,
inference(equality_encoding,[status(esa)],[c24]) ).
cnf(t91,plain,
select(a_432,i2) = e_433,
inference(orient,[status(thm)],[t13]) ).
cnf(t1265,plain,
e_433 = e_423,
inference(step,[status(thm)],[t1264,t91]) ).
cnf(t1027,plain,
e_433 = e_423,
inference(rw,[status(thm)],[t1265]) ).
cnf(t1037,plain,
e_423 = e_433,
inference(orient,[status(thm)],[t1027]) ).
cnf(t1299,plain,
store(a_432,i3,e_433) = a_424,
inference(step,[status(thm)],[t1028,t1037]) ).
cnf(f13,hypothesis,
a_434 = store(a_432,i3,e_433),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp10) ).
fof(f13_nnf,plain,
a_434 = store(a_432,i3,e_433),
inference(nnf_transformation,[status(thm)],[f13]) ).
cnf(c13,plain,
a_434 = store(a_432,i3,e_433),
inference(cnf_transformation,[status(esa)],[f13_nnf]) ).
cnf(t27,plain,
store(a_432,i3,e_433) = a_434,
inference(equality_encoding,[status(esa)],[c13]) ).
cnf(t53,plain,
store(a_432,i3,e_433) = a_434,
inference(orient,[status(thm)],[t27]) ).
cnf(t1300,plain,
a_434 = a_424,
inference(step,[status(thm)],[t1299,t53]) ).
cnf(t1055,plain,
a_424 = a_434,
inference(orient,[status(thm)],[t1300]) ).
cnf(t1301,plain,
store(a_434,i2,e_437) = a_426,
inference(step,[status(thm)],[t627,t1055]) ).
cnf(t1155,plain,
store(a_434,i2,e_437) = a_436,
inference(step,[status(thm)],[t65,t181]) ).
cnf(t184,plain,
store(a_434,i2,e_437) = a_436,
inference(rw,[status(thm)],[t1155]) ).
cnf(t254,plain,
store(a_434,i2,e_437) = a_436,
inference(orient,[status(thm)],[t184]) ).
cnf(t1302,plain,
a_436 = a_426,
inference(step,[status(thm)],[t1301,t254]) ).
cnf(t1056,plain,
a_436 = a_426,
inference(rw,[status(thm)],[t1302]) ).
cnf(t1059,plain,
a_426 = a_436,
inference(orient,[status(thm)],[t1056]) ).
cnf(t1307,plain,
store(a_436,i2,e_427) = a_428,
inference(step,[status(thm)],[t55,t1059]) ).
cnf(t1061,plain,
store(a_436,i2,e_427) = a_428,
inference(rw,[status(thm)],[t1307]) ).
cnf(f22,hypothesis,
e_427 = select(a_426,i0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp19) ).
fof(f22_nnf,plain,
e_427 = select(a_426,i0),
inference(nnf_transformation,[status(thm)],[f22]) ).
cnf(c22,plain,
e_427 = select(a_426,i0),
inference(cnf_transformation,[status(esa)],[f22_nnf]) ).
cnf(t11,plain,
select(a_426,i0) = e_427,
inference(equality_encoding,[status(esa)],[c22]) ).
cnf(t100,plain,
select(a_426,i0) = e_427,
inference(orient,[status(thm)],[t11]) ).
cnf(t1305,plain,
select(a_436,i0) = e_427,
inference(step,[status(thm)],[t100,t1059]) ).
cnf(t1306,plain,
e_439 = e_427,
inference(step,[status(thm)],[t1305,t82]) ).
cnf(t1060,plain,
e_439 = e_427,
inference(rw,[status(thm)],[t1306]) ).
cnf(t1067,plain,
e_427 = e_439,
inference(orient,[status(thm)],[t1060]) ).
cnf(t1333,plain,
store(a_436,i2,e_439) = a_428,
inference(step,[status(thm)],[t1061,t1067]) ).
cnf(t1081,plain,
store(a_436,i2,e_439) = a_428,
inference(orient,[status(thm)],[t1333]) ).
cnf(t1341,plain,
a_440 = store(a_428,i0,e_437),
inference(step,[status(thm)],[t1340,t1081]) ).
cnf(f10,hypothesis,
a_430 = store(a_428,i0,e_429),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp7) ).
fof(f10_nnf,plain,
a_430 = store(a_428,i0,e_429),
inference(nnf_transformation,[status(thm)],[f10]) ).
cnf(c10,plain,
a_430 = store(a_428,i0,e_429),
inference(cnf_transformation,[status(esa)],[f10_nnf]) ).
cnf(t25,plain,
store(a_428,i0,e_429) = a_430,
inference(equality_encoding,[status(esa)],[c10]) ).
cnf(t59,plain,
store(a_428,i0,e_429) = a_430,
inference(orient,[status(thm)],[t25]) ).
cnf(t1215,plain,
store(a_428,i0,e_437) = a_430,
inference(step,[status(thm)],[t59,t593]) ).
cnf(t611,plain,
store(a_428,i0,e_437) = a_430,
inference(rw,[status(thm)],[t1215]) ).
cnf(t628,plain,
store(a_428,i0,e_437) = a_430,
inference(orient,[status(thm)],[t611]) ).
cnf(t1342,plain,
a_440 = a_430,
inference(step,[status(thm)],[t1341,t628]) ).
cnf(t1141,plain,
a_430 = a_440,
inference(orient,[status(thm)],[t1342]) ).
cnf(f28,negated_conjecture,
a_430 != a_440,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f28_nnf,plain,
a_430 != a_440,
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
a_430 != a_440,
inference(skolemisation,[status(esa)],[f28_nnf]) ).
cnf(c28,plain,
a_430 != a_440,
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(goal_0,negated_conjecture,
a_440 != a_430,
inference(equality_encoding,[status(esa)],[c28]) ).
cnf(g0_0,plain,
a_440 != a_440,
inference(rw,[status(thm)],[goal_0,t1141]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV543-1.004 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/20.41 % Computer : n013.cluster.edu
% 0.11/20.41 % Model : x86_64 x86_64
% 0.11/20.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/20.41 % Memory : 8046.5625MB
% 0.11/20.41 % OS : Linux 6.8.0-71-generic
% 0.11/20.41 % CPULimit : 300
% 0.11/20.41 % WCLimit : 300
% 0.11/20.41 % DateTime : Thu Sep 24 20:24:14 UTC 2026
% 0.11/20.42 % CPUTime :
% 0.11/20.42 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 12.43/22.15 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.43/22.15 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------