%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN594-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n019.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 03:35:16 PM UTC 2026
% Result : Unsatisfiable 29.18s 4.24s
% Output : Proof 29.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 18
% Syntax : Number of formulae : 109 ( 85 unt; 0 def)
% Number of atoms : 157 ( 60 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 114 ( 66 ~; 48 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 9 con; 0-4 aty)
% Number of variables : 104 ( 6 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f14,negated_conjecture,
( ~ p2(X10,X12)
| ~ p2(X10,X11)
| p2(X11,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_15) ).
fof(f14_nnf,plain,
! [X11,X12,X10] :
( ~ p2(X10,X12)
| ~ p2(X10,X11)
| p2(X11,X12) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [X11,X12,X10] :
( ~ p2(X10,X12)
| ~ p2(X10,X11)
| p2(X11,X12) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(t25,plain,
ifeq(p2(X1,X2),true,ifeq(p2(X1,X3),true,p2(X2,X3),true),true) = true,
inference(equality_encoding,[status(esa)],[c14]) ).
cnf(t47,plain,
ifeq(p2(X1,X2),true,ifeq(p2(X1,X3),true,p2(X2,X3),true),true) = true,
inference(orient,[status(thm)],[t25]) ).
cnf(f0,negated_conjecture,
p2(X10,X10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
fof(f0_nnf,plain,
! [X10] : p2(X10,X10),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X10] : p2(X10,X10),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
p2(X0,X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(t6,plain,
p2(X1,X1) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t66,plain,
p2(X1,X1) = true,
inference(orient,[status(thm)],[t6]) ).
cnf(t68,plain,
true = ifeq(p2(X1,X2),true,ifeq(true,true,p2(X2,X1),true),true),
inference(cp,[status(thm)],[t47,t66]) ).
cnf(t9,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t40,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t9]) ).
cnf(t1430,plain,
true = ifeq(p2(X1,X2),true,p2(X2,X1),true),
inference(step,[status(thm)],[t68,t40]) ).
cnf(t214,plain,
ifeq(p2(X1,X2),true,p2(X2,X1),true) = true,
inference(orient,[status(thm)],[t1430]) ).
cnf(f12,negated_conjecture,
( ~ p15(X4,X5)
| p2(X4,X5)
| p14(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_13) ).
fof(f12_nnf,plain,
! [X4,X5] :
( ~ p15(X4,X5)
| p2(X4,X5)
| p14(X4,X5) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [X4,X5] :
( ~ p15(X4,X5)
| p2(X4,X5)
| p14(X4,X5) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
( ~ p15(X0,X1)
| p2(X0,X1)
| p14(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(t24,plain,
ifeq(p15(X1,X2),true,or(p14(X1,X2),p2(X1,X2)),true) = true,
inference(equality_encoding,[status(esa)],[c12]) ).
cnf(t65,plain,
ifeq(p15(X1,X2),true,or(p14(X1,X2),p2(X1,X2)),true) = true,
inference(orient,[status(thm)],[t24]) ).
cnf(t10,plain,
ifeq(not(X1),true,X1,false) = false,
introduced(definition) ).
cnf(t137,plain,
ifeq(not(X1),true,X1,false) = false,
inference(orient,[status(thm)],[t10]) ).
cnf(f26,negated_conjecture,
( ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X46),f8(f10(f11(f3(f4(f5(c17)))),X48),f9(f11(X47),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),X47)
| ~ p15(X47,f6(f3(f4(f5(c17))),c16))
| ~ p14(X46,f3(f4(f5(c17)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p14_27) ).
fof(f26_nnf,plain,
! [X46,X47,X48] :
( ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X46),f8(f10(f11(f3(f4(f5(c17)))),X48),f9(f11(X47),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),X47)
| ~ p15(X47,f6(f3(f4(f5(c17))),c16))
| ~ p14(X46,f3(f4(f5(c17)))) ),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
! [X46,X47,X48] :
( ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X46),f8(f10(f11(f3(f4(f5(c17)))),X48),f9(f11(X47),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),X47)
| ~ p15(X47,f6(f3(f4(f5(c17))),c16))
| ~ p14(X46,f3(f4(f5(c17)))) ),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c26,plain,
( ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X0),f8(f10(f11(f3(f4(f5(c17)))),X2),f9(f11(X1),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),X1)
| ~ p15(X1,f6(f3(f4(f5(c17))),c16))
| ~ p14(X0,f3(f4(f5(c17)))) ),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(t38,plain,
or(not(p14(X1,f3(f4(f5(c17))))),or(not(p15(X2,f6(f3(f4(f5(c17))),c16))),or(not(p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),X2)),not(p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X1),f8(f10(f11(f3(f4(f5(c17)))),X3),f9(f11(X2),f10(f11(f3(f4(f5(c17)))),c22))))))))) = true,
inference(equality_encoding,[status(esa)],[c26]) ).
cnf(t129,plain,
or(not(p14(X1,f3(f4(f5(c17))))),or(not(p15(X2,f6(f3(f4(f5(c17))),c16))),or(not(p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),X2)),not(p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X1),f8(f10(f11(f3(f4(f5(c17)))),X3),f9(f11(X2),f10(f11(f3(f4(f5(c17)))),c22))))))))) = true,
inference(orient,[status(thm)],[t38]) ).
cnf(f24,negated_conjecture,
p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_25) ).
fof(f24_nnf,plain,
p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))),
inference(nnf_transformation,[status(thm)],[f24]) ).
cnf(c24,plain,
p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))),
inference(cnf_transformation,[status(esa)],[f24_nnf]) ).
cnf(t35,plain,
p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))) = true,
inference(equality_encoding,[status(esa)],[c24]) ).
cnf(t92,plain,
p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))) = true,
inference(orient,[status(thm)],[t35]) ).
cnf(t131,plain,
true = or(not(p14(c18,f3(f4(f5(c17))))),or(not(p15(c19,f6(f3(f4(f5(c17))),c16))),or(not(p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19)),not(true)))),
inference(cp,[status(thm)],[t129,t92]) ).
cnf(f3,negated_conjecture,
p14(c18,f3(f4(f5(c17)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_4) ).
fof(f3_nnf,plain,
p14(c18,f3(f4(f5(c17)))),
inference(nnf_transformation,[status(thm)],[f3]) ).
cnf(c3,plain,
p14(c18,f3(f4(f5(c17)))),
inference(cnf_transformation,[status(esa)],[f3_nnf]) ).
cnf(t11,plain,
p14(c18,f3(f4(f5(c17)))) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(t110,plain,
p14(c18,f3(f4(f5(c17)))) = true,
inference(orient,[status(thm)],[t11]) ).
cnf(t1503,plain,
true = or(not(true),or(not(p15(c19,f6(f3(f4(f5(c17))),c16))),or(not(p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19)),not(true)))),
inference(step,[status(thm)],[t131,t110]) ).
cnf(t1,plain,
not(true) = false,
introduced(definition) ).
cnf(t180,plain,
not(true) = false,
inference(orient,[status(thm)],[t1]) ).
cnf(t1504,plain,
true = or(false,or(not(p15(c19,f6(f3(f4(f5(c17))),c16))),or(not(p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19)),not(true)))),
inference(step,[status(thm)],[t1503,t180]) ).
cnf(t4,plain,
or(false,X1) = X1,
introduced(definition) ).
cnf(t42,plain,
or(false,X1) = X1,
inference(orient,[status(thm)],[t4]) ).
cnf(t1505,plain,
true = or(not(p15(c19,f6(f3(f4(f5(c17))),c16))),or(not(p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19)),not(true))),
inference(step,[status(thm)],[t1504,t42]) ).
cnf(f4,negated_conjecture,
( ~ p14(X4,X5)
| p15(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_5) ).
fof(f4_nnf,plain,
! [X4,X5] :
( ~ p14(X4,X5)
| p15(X4,X5) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X4,X5] :
( ~ p14(X4,X5)
| p15(X4,X5) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( ~ p14(X0,X1)
| p15(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(t14,plain,
ifeq(p14(X1,X2),true,p15(X1,X2),true) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(t63,plain,
ifeq(p14(X1,X2),true,p15(X1,X2),true) = true,
inference(orient,[status(thm)],[t14]) ).
cnf(f6,negated_conjecture,
p14(c19,f6(f3(f4(f5(c17))),c16)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_7) ).
fof(f6_nnf,plain,
p14(c19,f6(f3(f4(f5(c17))),c16)),
inference(nnf_transformation,[status(thm)],[f6]) ).
cnf(c6,plain,
p14(c19,f6(f3(f4(f5(c17))),c16)),
inference(cnf_transformation,[status(esa)],[f6_nnf]) ).
cnf(t13,plain,
p14(c19,f6(f3(f4(f5(c17))),c16)) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(t104,plain,
p14(c19,f6(f3(f4(f5(c17))),c16)) = true,
inference(orient,[status(thm)],[t13]) ).
cnf(t105,plain,
true = ifeq(true,true,p15(c19,f6(f3(f4(f5(c17))),c16)),true),
inference(cp,[status(thm)],[t63,t104]) ).
cnf(t1428,plain,
true = p15(c19,f6(f3(f4(f5(c17))),c16)),
inference(step,[status(thm)],[t105,t40]) ).
cnf(t206,plain,
p15(c19,f6(f3(f4(f5(c17))),c16)) = true,
inference(orient,[status(thm)],[t1428]) ).
cnf(t1506,plain,
true = or(not(true),or(not(p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19)),not(true))),
inference(step,[status(thm)],[t1505,t206]) ).
cnf(t1507,plain,
true = or(false,or(not(p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19)),not(true))),
inference(step,[status(thm)],[t1506,t180]) ).
cnf(t1508,plain,
true = or(not(p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19)),not(true)),
inference(step,[status(thm)],[t1507,t42]) ).
cnf(t1509,plain,
true = or(not(p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19)),false),
inference(step,[status(thm)],[t1508,t180]) ).
cnf(t2,plain,
or(X1,false) = X1,
introduced(definition) ).
cnf(t41,plain,
or(X1,false) = X1,
inference(orient,[status(thm)],[t2]) ).
cnf(t1510,plain,
true = not(p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19)),
inference(step,[status(thm)],[t1509,t41]) ).
cnf(t1041,plain,
not(p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19)) = true,
inference(orient,[status(thm)],[t1510]) ).
cnf(t1042,plain,
false = ifeq(true,true,p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19),false),
inference(cp,[status(thm)],[t137,t1041]) ).
cnf(t1511,plain,
false = p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19),
inference(step,[status(thm)],[t1042,t40]) ).
cnf(t1044,plain,
p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19) = false,
inference(orient,[status(thm)],[t1511]) ).
cnf(t1049,plain,
true = ifeq(p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19),true,or(false,p2(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19)),true),
inference(cp,[status(thm)],[t65,t1044]) ).
cnf(f15,negated_conjecture,
p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_16) ).
fof(f15_nnf,plain,
p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19),
inference(nnf_transformation,[status(thm)],[f15]) ).
cnf(c15,plain,
p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19),
inference(cnf_transformation,[status(esa)],[f15_nnf]) ).
cnf(t21,plain,
p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19) = true,
inference(equality_encoding,[status(esa)],[c15]) ).
cnf(t132,plain,
p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19) = true,
inference(orient,[status(thm)],[t21]) ).
cnf(t1514,plain,
true = ifeq(true,true,or(false,p2(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19)),true),
inference(step,[status(thm)],[t1049,t132]) ).
cnf(t1515,plain,
true = or(false,p2(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19)),
inference(step,[status(thm)],[t1514,t40]) ).
cnf(t1516,plain,
true = p2(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19),
inference(step,[status(thm)],[t1515,t42]) ).
cnf(t1059,plain,
p2(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19) = true,
inference(orient,[status(thm)],[t1516]) ).
cnf(t1060,plain,
true = ifeq(true,true,p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),true),
inference(cp,[status(thm)],[t214,t1059]) ).
cnf(t1519,plain,
true = p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
inference(step,[status(thm)],[t1060,t40]) ).
cnf(f16,negated_conjecture,
~ p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_17) ).
fof(f16_nnf,plain,
~ p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
~ p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
~ p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(t22,plain,
p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))) = false,
inference(equality_encoding,[status(esa)],[c16]) ).
cnf(t160,plain,
p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))) = false,
inference(orient,[status(thm)],[t22]) ).
cnf(t1520,plain,
true = false,
inference(step,[status(thm)],[t1519,t160]) ).
cnf(t1138,plain,
false = true,
inference(orient,[status(thm)],[t1520]) ).
cnf(f2,negated_conjecture,
~ p2(c16,f3(c17)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_3) ).
fof(f2_nnf,plain,
~ p2(c16,f3(c17)),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
~ p2(c16,f3(c17)),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
~ p2(c16,f3(c17)),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(f5,negated_conjecture,
( ~ p2(X4,X5)
| ~ p14(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p14_6) ).
fof(f5_nnf,plain,
! [X4,X5] :
( ~ p2(X4,X5)
| ~ p14(X4,X5) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X4,X5] :
( ~ p2(X4,X5)
| ~ p14(X4,X5) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( ~ p2(X0,X1)
| ~ p14(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(f25,negated_conjecture,
( ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X46),f8(f10(f11(f3(f4(f5(c17)))),X48),f9(f11(X47),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p15(X47,f6(f3(f4(f5(c17))),c16))
| ~ p14(X46,f3(f4(f5(c17))))
| ~ p2(X48,f3(c17)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_26) ).
fof(f25_nnf,plain,
! [X48,X46,X47] :
( ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X46),f8(f10(f11(f3(f4(f5(c17)))),X48),f9(f11(X47),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p15(X47,f6(f3(f4(f5(c17))),c16))
| ~ p14(X46,f3(f4(f5(c17))))
| ~ p2(X48,f3(c17)) ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
! [X48,X46,X47] :
( ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X46),f8(f10(f11(f3(f4(f5(c17)))),X48),f9(f11(X47),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p15(X47,f6(f3(f4(f5(c17))),c16))
| ~ p14(X46,f3(f4(f5(c17))))
| ~ p2(X48,f3(c17)) ),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c25,plain,
( ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X1),f8(f10(f11(f3(f4(f5(c17)))),X0),f9(f11(X2),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p15(X2,f6(f3(f4(f5(c17))),c16))
| ~ p14(X1,f3(f4(f5(c17))))
| ~ p2(X0,f3(c17)) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c2,c5,c16,c25,c26]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t1138]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN594-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.37 % Computer : n019.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 : Fri Sep 25 01:50:19 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 29.18/4.24 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.18/4.24 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------