%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV558-1.004 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n010.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 03:13:39 PM UTC 2026
% Result : Unsatisfiable 5.87s 1.27s
% Output : Proof 5.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 20
% Syntax : Number of formulae : 204 ( 204 unt; 0 def)
% Number of atoms : 204 ( 203 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 22 con; 0-3 aty)
% Number of variables : 30 ( 4 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f2,axiom,
store(A,I,select(A,I)) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).
fof(f2_nnf,plain,
! [A,I] : store(A,I,select(A,I)) = A,
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [A,I] : store(A,I,select(A,I)) = A,
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
store(X0,X1,select(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(t25,plain,
store(X1,X2,select(X1,X2)) = X1,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(t30,plain,
store(X1,X2,select(X1,X2)) = X1,
inference(orient,[status(thm)],[t25]) ).
cnf(f13,hypothesis,
e_16 = select(a2,i1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp8) ).
fof(f13_nnf,plain,
e_16 = select(a2,i1),
inference(nnf_transformation,[status(thm)],[f13]) ).
cnf(c13,plain,
e_16 = select(a2,i1),
inference(cnf_transformation,[status(esa)],[f13_nnf]) ).
cnf(t8,plain,
select(a2,i1) = e_16,
inference(equality_encoding,[status(esa)],[c13]) ).
cnf(t76,plain,
select(a2,i1) = e_16,
inference(orient,[status(thm)],[t8]) ).
cnf(t77,plain,
a2 = store(a2,i1,e_16),
inference(cp,[status(thm)],[t30,t76]) ).
cnf(t183,plain,
store(a2,i1,e_16) = a2,
inference(orient,[status(thm)],[t77]) ).
cnf(f0,axiom,
select(store(A,I,E),I) = E,
file('/export/starexec/sandbox2/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(t24,plain,
select(store(X1,X2,X3),X2) = X3,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t31,plain,
select(store(X1,X2,X3),X2) = X3,
inference(orient,[status(thm)],[t24]) ).
cnf(f5,hypothesis,
a_17 = store(a1,i1,e_16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp0) ).
fof(f5_nnf,plain,
a_17 = store(a1,i1,e_16),
inference(nnf_transformation,[status(thm)],[f5]) ).
cnf(c5,plain,
a_17 = store(a1,i1,e_16),
inference(cnf_transformation,[status(esa)],[f5_nnf]) ).
cnf(t15,plain,
store(a1,i1,e_16) = a_17,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(t56,plain,
store(a1,i1,e_16) = a_17,
inference(orient,[status(thm)],[t15]) ).
cnf(t58,plain,
e_16 = select(a_17,i1),
inference(cp,[status(thm)],[t31,t56]) ).
cnf(t151,plain,
select(a_17,i1) = e_16,
inference(orient,[status(thm)],[t58]) ).
cnf(f7,hypothesis,
a_21 = store(a_17,i2,e_20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp2) ).
fof(f7_nnf,plain,
a_21 = store(a_17,i2,e_20),
inference(nnf_transformation,[status(thm)],[f7]) ).
cnf(c7,plain,
a_21 = store(a_17,i2,e_20),
inference(cnf_transformation,[status(esa)],[f7_nnf]) ).
cnf(t17,plain,
store(a_17,i2,e_20) = a_21,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(t50,plain,
store(a_17,i2,e_20) = a_21,
inference(orient,[status(thm)],[t17]) ).
cnf(f9,hypothesis,
a_25 = store(a_21,i3,e_24),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp4) ).
fof(f9_nnf,plain,
a_25 = store(a_21,i3,e_24),
inference(nnf_transformation,[status(thm)],[f9]) ).
cnf(c9,plain,
a_25 = store(a_21,i3,e_24),
inference(cnf_transformation,[status(esa)],[f9_nnf]) ).
cnf(t19,plain,
store(a_21,i3,e_24) = a_25,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(t44,plain,
store(a_21,i3,e_24) = a_25,
inference(orient,[status(thm)],[t19]) ).
cnf(f11,hypothesis,
a_29 = store(a_25,i4,e_28),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp6) ).
fof(f11_nnf,plain,
a_29 = store(a_25,i4,e_28),
inference(nnf_transformation,[status(thm)],[f11]) ).
cnf(c11,plain,
a_29 = store(a_25,i4,e_28),
inference(cnf_transformation,[status(esa)],[f11_nnf]) ).
cnf(t21,plain,
store(a_25,i4,e_28) = a_29,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(t38,plain,
store(a_25,i4,e_28) = a_29,
inference(orient,[status(thm)],[t21]) ).
cnf(f21,hypothesis,
a_29 = a_31,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp16) ).
fof(f21_nnf,plain,
a_29 = a_31,
inference(nnf_transformation,[status(thm)],[f21]) ).
cnf(c21,plain,
a_29 = a_31,
inference(cnf_transformation,[status(esa)],[f21_nnf]) ).
cnf(t0,plain,
a_31 = a_29,
inference(equality_encoding,[status(esa)],[c21]) ).
cnf(t127,plain,
a_29 = a_31,
inference(orient,[status(thm)],[t0]) ).
cnf(t244,plain,
store(a_25,i4,e_28) = a_31,
inference(step,[status(thm)],[t38,t127]) ).
cnf(t128,plain,
store(a_25,i4,e_28) = a_31,
inference(orient,[status(thm)],[t244]) ).
cnf(f12,hypothesis,
a_31 = store(a_27,i4,e_30),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp7) ).
fof(f12_nnf,plain,
a_31 = store(a_27,i4,e_30),
inference(nnf_transformation,[status(thm)],[f12]) ).
cnf(c12,plain,
a_31 = store(a_27,i4,e_30),
inference(cnf_transformation,[status(esa)],[f12_nnf]) ).
cnf(t22,plain,
store(a_27,i4,e_30) = a_31,
inference(equality_encoding,[status(esa)],[c12]) ).
cnf(t41,plain,
store(a_27,i4,e_30) = a_31,
inference(orient,[status(thm)],[t22]) ).
cnf(t43,plain,
e_30 = select(a_31,i4),
inference(cp,[status(thm)],[t31,t41]) ).
cnf(t40,plain,
e_28 = select(a_29,i4),
inference(cp,[status(thm)],[t31,t38]) ).
cnf(t246,plain,
e_28 = select(a_31,i4),
inference(step,[status(thm)],[t40,t127]) ).
cnf(t130,plain,
select(a_31,i4) = e_28,
inference(orient,[status(thm)],[t246]) ).
cnf(t247,plain,
e_30 = e_28,
inference(step,[status(thm)],[t43,t130]) ).
cnf(t133,plain,
e_28 = e_30,
inference(orient,[status(thm)],[t247]) ).
cnf(t252,plain,
store(a_25,i4,e_30) = a_31,
inference(step,[status(thm)],[t128,t133]) ).
cnf(t138,plain,
store(a_25,i4,e_30) = a_31,
inference(rw,[status(thm)],[t252]) ).
cnf(f20,hypothesis,
e_30 = select(a_25,i4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp15) ).
fof(f20_nnf,plain,
e_30 = select(a_25,i4),
inference(nnf_transformation,[status(thm)],[f20]) ).
cnf(c20,plain,
e_30 = select(a_25,i4),
inference(cnf_transformation,[status(esa)],[f20_nnf]) ).
cnf(t13,plain,
select(a_25,i4) = e_30,
inference(equality_encoding,[status(esa)],[c20]) ).
cnf(t62,plain,
select(a_25,i4) = e_30,
inference(orient,[status(thm)],[t13]) ).
cnf(t63,plain,
a_25 = store(a_25,i4,e_30),
inference(cp,[status(thm)],[t30,t62]) ).
cnf(t157,plain,
store(a_25,i4,e_30) = a_25,
inference(orient,[status(thm)],[t63]) ).
cnf(t260,plain,
a_25 = a_31,
inference(step,[status(thm)],[t138,t157]) ).
cnf(t189,plain,
a_25 = a_31,
inference(orient,[status(thm)],[t260]) ).
cnf(t261,plain,
store(a_21,i3,e_24) = a_31,
inference(step,[status(thm)],[t44,t189]) ).
cnf(t190,plain,
store(a_21,i3,e_24) = a_31,
inference(orient,[status(thm)],[t261]) ).
cnf(t46,plain,
e_24 = select(a_25,i3),
inference(cp,[status(thm)],[t31,t44]) ).
cnf(t139,plain,
select(a_25,i3) = e_24,
inference(orient,[status(thm)],[t46]) ).
cnf(t263,plain,
select(a_31,i3) = e_24,
inference(step,[status(thm)],[t139,t189]) ).
cnf(f10,hypothesis,
a_27 = store(a_23,i3,e_26),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp5) ).
fof(f10_nnf,plain,
a_27 = store(a_23,i3,e_26),
inference(nnf_transformation,[status(thm)],[f10]) ).
cnf(c10,plain,
a_27 = store(a_23,i3,e_26),
inference(cnf_transformation,[status(esa)],[f10_nnf]) ).
cnf(t20,plain,
store(a_23,i3,e_26) = a_27,
inference(equality_encoding,[status(esa)],[c10]) ).
cnf(t47,plain,
store(a_23,i3,e_26) = a_27,
inference(orient,[status(thm)],[t20]) ).
cnf(t49,plain,
e_26 = select(a_27,i3),
inference(cp,[status(thm)],[t31,t47]) ).
cnf(t142,plain,
select(a_27,i3) = e_26,
inference(orient,[status(thm)],[t49]) ).
cnf(f19,hypothesis,
e_28 = select(a_27,i4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp14) ).
fof(f19_nnf,plain,
e_28 = select(a_27,i4),
inference(nnf_transformation,[status(thm)],[f19]) ).
cnf(c19,plain,
e_28 = select(a_27,i4),
inference(cnf_transformation,[status(esa)],[f19_nnf]) ).
cnf(t14,plain,
select(a_27,i4) = e_28,
inference(equality_encoding,[status(esa)],[c19]) ).
cnf(t64,plain,
select(a_27,i4) = e_28,
inference(orient,[status(thm)],[t14]) ).
cnf(t65,plain,
a_27 = store(a_27,i4,e_28),
inference(cp,[status(thm)],[t30,t64]) ).
cnf(t253,plain,
a_27 = store(a_27,i4,e_30),
inference(step,[status(thm)],[t65,t133]) ).
cnf(t254,plain,
a_27 = a_31,
inference(step,[status(thm)],[t253,t41]) ).
cnf(t160,plain,
a_27 = a_31,
inference(orient,[status(thm)],[t254]) ).
cnf(t257,plain,
select(a_31,i3) = e_26,
inference(step,[status(thm)],[t142,t160]) ).
cnf(t163,plain,
select(a_31,i3) = e_26,
inference(rw,[status(thm)],[t257]) ).
cnf(t165,plain,
select(a_31,i3) = e_26,
inference(orient,[status(thm)],[t163]) ).
cnf(t264,plain,
e_26 = e_24,
inference(step,[status(thm)],[t263,t165]) ).
cnf(t192,plain,
e_26 = e_24,
inference(rw,[status(thm)],[t264]) ).
cnf(t193,plain,
e_24 = e_26,
inference(orient,[status(thm)],[t192]) ).
cnf(t269,plain,
store(a_21,i3,e_26) = a_31,
inference(step,[status(thm)],[t190,t193]) ).
cnf(f18,hypothesis,
e_26 = select(a_21,i3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp13) ).
fof(f18_nnf,plain,
e_26 = select(a_21,i3),
inference(nnf_transformation,[status(thm)],[f18]) ).
cnf(c18,plain,
e_26 = select(a_21,i3),
inference(cnf_transformation,[status(esa)],[f18_nnf]) ).
cnf(t11,plain,
select(a_21,i3) = e_26,
inference(equality_encoding,[status(esa)],[c18]) ).
cnf(t66,plain,
select(a_21,i3) = e_26,
inference(orient,[status(thm)],[t11]) ).
cnf(t67,plain,
a_21 = store(a_21,i3,e_26),
inference(cp,[status(thm)],[t30,t66]) ).
cnf(t168,plain,
store(a_21,i3,e_26) = a_21,
inference(orient,[status(thm)],[t67]) ).
cnf(t270,plain,
a_21 = a_31,
inference(step,[status(thm)],[t269,t168]) ).
cnf(t197,plain,
a_21 = a_31,
inference(rw,[status(thm)],[t270]) ).
cnf(t209,plain,
a_21 = a_31,
inference(orient,[status(thm)],[t197]) ).
cnf(t277,plain,
store(a_17,i2,e_20) = a_31,
inference(step,[status(thm)],[t50,t209]) ).
cnf(t210,plain,
store(a_17,i2,e_20) = a_31,
inference(orient,[status(thm)],[t277]) ).
cnf(t52,plain,
e_20 = select(a_21,i2),
inference(cp,[status(thm)],[t31,t50]) ).
cnf(t145,plain,
select(a_21,i2) = e_20,
inference(orient,[status(thm)],[t52]) ).
cnf(t279,plain,
select(a_31,i2) = e_20,
inference(step,[status(thm)],[t145,t209]) ).
cnf(t212,plain,
select(a_31,i2) = e_20,
inference(rw,[status(thm)],[t279]) ).
cnf(f8,hypothesis,
a_23 = store(a_19,i2,e_22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp3) ).
fof(f8_nnf,plain,
a_23 = store(a_19,i2,e_22),
inference(nnf_transformation,[status(thm)],[f8]) ).
cnf(c8,plain,
a_23 = store(a_19,i2,e_22),
inference(cnf_transformation,[status(esa)],[f8_nnf]) ).
cnf(t18,plain,
store(a_19,i2,e_22) = a_23,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(t53,plain,
store(a_19,i2,e_22) = a_23,
inference(orient,[status(thm)],[t18]) ).
cnf(t55,plain,
e_22 = select(a_23,i2),
inference(cp,[status(thm)],[t31,t53]) ).
cnf(t148,plain,
select(a_23,i2) = e_22,
inference(orient,[status(thm)],[t55]) ).
cnf(f17,hypothesis,
e_24 = select(a_23,i3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp12) ).
fof(f17_nnf,plain,
e_24 = select(a_23,i3),
inference(nnf_transformation,[status(thm)],[f17]) ).
cnf(c17,plain,
e_24 = select(a_23,i3),
inference(cnf_transformation,[status(esa)],[f17_nnf]) ).
cnf(t12,plain,
select(a_23,i3) = e_24,
inference(equality_encoding,[status(esa)],[c17]) ).
cnf(t68,plain,
select(a_23,i3) = e_24,
inference(orient,[status(thm)],[t12]) ).
cnf(t69,plain,
a_23 = store(a_23,i3,e_24),
inference(cp,[status(thm)],[t30,t68]) ).
cnf(t171,plain,
store(a_23,i3,e_24) = a_23,
inference(orient,[status(thm)],[t69]) ).
cnf(t267,plain,
store(a_23,i3,e_26) = a_23,
inference(step,[status(thm)],[t171,t193]) ).
cnf(t255,plain,
store(a_23,i3,e_26) = a_31,
inference(step,[status(thm)],[t47,t160]) ).
cnf(t161,plain,
store(a_23,i3,e_26) = a_31,
inference(orient,[status(thm)],[t255]) ).
cnf(t268,plain,
a_31 = a_23,
inference(step,[status(thm)],[t267,t161]) ).
cnf(t196,plain,
a_31 = a_23,
inference(rw,[status(thm)],[t268]) ).
cnf(t198,plain,
a_23 = a_31,
inference(orient,[status(thm)],[t196]) ).
cnf(t273,plain,
select(a_31,i2) = e_22,
inference(step,[status(thm)],[t148,t198]) ).
cnf(t201,plain,
select(a_31,i2) = e_22,
inference(rw,[status(thm)],[t273]) ).
cnf(t213,plain,
select(a_31,i2) = e_22,
inference(orient,[status(thm)],[t201]) ).
cnf(t280,plain,
e_22 = e_20,
inference(step,[status(thm)],[t212,t213]) ).
cnf(t216,plain,
e_20 = e_22,
inference(orient,[status(thm)],[t280]) ).
cnf(t285,plain,
store(a_17,i2,e_22) = a_31,
inference(step,[status(thm)],[t210,t216]) ).
cnf(f16,hypothesis,
e_22 = select(a_17,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp11) ).
fof(f16_nnf,plain,
e_22 = select(a_17,i2),
inference(nnf_transformation,[status(thm)],[f16]) ).
cnf(c16,plain,
e_22 = select(a_17,i2),
inference(cnf_transformation,[status(esa)],[f16_nnf]) ).
cnf(t9,plain,
select(a_17,i2) = e_22,
inference(equality_encoding,[status(esa)],[c16]) ).
cnf(t70,plain,
select(a_17,i2) = e_22,
inference(orient,[status(thm)],[t9]) ).
cnf(t71,plain,
a_17 = store(a_17,i2,e_22),
inference(cp,[status(thm)],[t30,t70]) ).
cnf(t174,plain,
store(a_17,i2,e_22) = a_17,
inference(orient,[status(thm)],[t71]) ).
cnf(t286,plain,
a_17 = a_31,
inference(step,[status(thm)],[t285,t174]) ).
cnf(t220,plain,
a_17 = a_31,
inference(rw,[status(thm)],[t286]) ).
cnf(t226,plain,
a_17 = a_31,
inference(orient,[status(thm)],[t220]) ).
cnf(t295,plain,
select(a_31,i1) = e_16,
inference(step,[status(thm)],[t151,t226]) ).
cnf(t230,plain,
select(a_31,i1) = e_16,
inference(rw,[status(thm)],[t295]) ).
cnf(f6,hypothesis,
a_19 = store(a2,i1,e_18),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp1) ).
fof(f6_nnf,plain,
a_19 = store(a2,i1,e_18),
inference(nnf_transformation,[status(thm)],[f6]) ).
cnf(c6,plain,
a_19 = store(a2,i1,e_18),
inference(cnf_transformation,[status(esa)],[f6_nnf]) ).
cnf(t16,plain,
store(a2,i1,e_18) = a_19,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(t59,plain,
store(a2,i1,e_18) = a_19,
inference(orient,[status(thm)],[t16]) ).
cnf(t61,plain,
e_18 = select(a_19,i1),
inference(cp,[status(thm)],[t31,t59]) ).
cnf(t154,plain,
select(a_19,i1) = e_18,
inference(orient,[status(thm)],[t61]) ).
cnf(f15,hypothesis,
e_20 = select(a_19,i2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp10) ).
fof(f15_nnf,plain,
e_20 = select(a_19,i2),
inference(nnf_transformation,[status(thm)],[f15]) ).
cnf(c15,plain,
e_20 = select(a_19,i2),
inference(cnf_transformation,[status(esa)],[f15_nnf]) ).
cnf(t10,plain,
select(a_19,i2) = e_20,
inference(equality_encoding,[status(esa)],[c15]) ).
cnf(t72,plain,
select(a_19,i2) = e_20,
inference(orient,[status(thm)],[t10]) ).
cnf(t73,plain,
a_19 = store(a_19,i2,e_20),
inference(cp,[status(thm)],[t30,t72]) ).
cnf(t177,plain,
store(a_19,i2,e_20) = a_19,
inference(orient,[status(thm)],[t73]) ).
cnf(t283,plain,
store(a_19,i2,e_22) = a_19,
inference(step,[status(thm)],[t177,t216]) ).
cnf(t271,plain,
store(a_19,i2,e_22) = a_31,
inference(step,[status(thm)],[t53,t198]) ).
cnf(t199,plain,
store(a_19,i2,e_22) = a_31,
inference(orient,[status(thm)],[t271]) ).
cnf(t284,plain,
a_31 = a_19,
inference(step,[status(thm)],[t283,t199]) ).
cnf(t219,plain,
a_31 = a_19,
inference(rw,[status(thm)],[t284]) ).
cnf(t221,plain,
a_19 = a_31,
inference(orient,[status(thm)],[t219]) ).
cnf(t289,plain,
select(a_31,i1) = e_18,
inference(step,[status(thm)],[t154,t221]) ).
cnf(t224,plain,
select(a_31,i1) = e_18,
inference(rw,[status(thm)],[t289]) ).
cnf(t231,plain,
select(a_31,i1) = e_18,
inference(orient,[status(thm)],[t224]) ).
cnf(t296,plain,
e_18 = e_16,
inference(step,[status(thm)],[t230,t231]) ).
cnf(t234,plain,
e_16 = e_18,
inference(orient,[status(thm)],[t296]) ).
cnf(t299,plain,
store(a2,i1,e_18) = a2,
inference(step,[status(thm)],[t183,t234]) ).
cnf(t287,plain,
store(a2,i1,e_18) = a_31,
inference(step,[status(thm)],[t59,t221]) ).
cnf(t222,plain,
store(a2,i1,e_18) = a_31,
inference(orient,[status(thm)],[t287]) ).
cnf(t300,plain,
a_31 = a2,
inference(step,[status(thm)],[t299,t222]) ).
cnf(t237,plain,
a_31 = a2,
inference(rw,[status(thm)],[t300]) ).
cnf(t239,plain,
a2 = a_31,
inference(orient,[status(thm)],[t237]) ).
cnf(t291,plain,
store(a1,i1,e_16) = a_31,
inference(step,[status(thm)],[t56,t226]) ).
cnf(t227,plain,
store(a1,i1,e_16) = a_31,
inference(orient,[status(thm)],[t291]) ).
cnf(t301,plain,
store(a1,i1,e_18) = a_31,
inference(step,[status(thm)],[t227,t234]) ).
cnf(f14,hypothesis,
e_18 = select(a1,i1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp9) ).
fof(f14_nnf,plain,
e_18 = select(a1,i1),
inference(nnf_transformation,[status(thm)],[f14]) ).
cnf(c14,plain,
e_18 = select(a1,i1),
inference(cnf_transformation,[status(esa)],[f14_nnf]) ).
cnf(t7,plain,
select(a1,i1) = e_18,
inference(equality_encoding,[status(esa)],[c14]) ).
cnf(t74,plain,
select(a1,i1) = e_18,
inference(orient,[status(thm)],[t7]) ).
cnf(t75,plain,
a1 = store(a1,i1,e_18),
inference(cp,[status(thm)],[t30,t74]) ).
cnf(t180,plain,
store(a1,i1,e_18) = a1,
inference(orient,[status(thm)],[t75]) ).
cnf(t302,plain,
a1 = a_31,
inference(step,[status(thm)],[t301,t180]) ).
cnf(t238,plain,
a1 = a_31,
inference(rw,[status(thm)],[t302]) ).
cnf(t242,plain,
a1 = a_31,
inference(orient,[status(thm)],[t238]) ).
cnf(f22,negated_conjecture,
a1 != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f22_nnf,plain,
a1 != a2,
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
a1 != a2,
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c22,plain,
a1 != a2,
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(goal_0,negated_conjecture,
a2 != a1,
inference(equality_encoding,[status(esa)],[c22]) ).
cnf(g0_0,plain,
a_31 != a1,
inference(rw,[status(thm)],[goal_0,t239]) ).
cnf(g0_1,plain,
a_31 != a_31,
inference(rw,[status(thm)],[g0_0,t242]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV558-1.004 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.07/0.37 % Computer : n010.cluster.edu
% 0.07/0.37 % Model : x86_64 x86_64
% 0.07/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.37 % Memory : 8046.5625MB
% 0.07/0.37 % OS : Linux 6.8.0-71-generic
% 0.07/0.37 % CPULimit : 300
% 0.07/0.37 % WCLimit : 300
% 0.07/0.37 % DateTime : Thu Sep 24 20:31:29 UTC 2026
% 0.07/0.37 % CPUTime :
% 0.07/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.87/1.27 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.87/1.27 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------