%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN600-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n008.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 03:35:18 PM UTC 2026
% Result : Unsatisfiable 28.55s 4.71s
% Output : Proof 28.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 15
% Syntax : Number of formulae : 90 ( 54 unt; 0 def)
% Number of atoms : 162 ( 36 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 150 ( 78 ~; 72 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 4 con; 0-4 aty)
% Number of variables : 143 ( 2 sgn 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f28,negated_conjecture,
( ~ p17(f15(f16(X27)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),X28),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p18(f9(f10(f13(f11(f14(f12(c20)))),X28),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X27)))
| ~ p19(X27)
| p3(f4(f6(X27)),X28) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_29) ).
fof(f28_nnf,plain,
! [X27,X28] :
( ~ p17(f15(f16(X27)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),X28),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p18(f9(f10(f13(f11(f14(f12(c20)))),X28),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X27)))
| ~ p19(X27)
| p3(f4(f6(X27)),X28) ),
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
! [X27,X28] :
( ~ p17(f15(f16(X27)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),X28),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p18(f9(f10(f13(f11(f14(f12(c20)))),X28),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X27)))
| ~ p19(X27)
| p3(f4(f6(X27)),X28) ),
inference(skolemisation,[status(esa)],[f28_nnf]) ).
cnf(c28,plain,
( ~ p17(f15(f16(X0)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),X1),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p18(f9(f10(f13(f11(f14(f12(c20)))),X1),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X0)))
| ~ p19(X0)
| p3(f4(f6(X0)),X1) ),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(t255,plain,
ifeq(p19(X1),true,ifeq(p18(f9(f10(f13(f11(f14(f12(c20)))),X2),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X1))),true,ifeq(p17(f15(f16(X1)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),X2),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))),true,p3(f4(f6(X1)),X2),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c28]) ).
cnf(t671,plain,
ifeq(p19(X1),true,ifeq(p18(f9(f10(f13(f11(f14(f12(c20)))),X2),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X1))),true,ifeq(p17(f15(f16(X1)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),X2),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))),true,p3(f4(f6(X1)),X2),true),true),true) = true,
inference(orient,[status(thm)],[t255]) ).
cnf(f27,negated_conjecture,
( ~ p19(X4)
| p17(f15(f16(X4)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X4))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_28) ).
fof(f27_nnf,plain,
! [X4] :
( ~ p19(X4)
| p17(f15(f16(X4)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X4))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
! [X4] :
( ~ p19(X4)
| p17(f15(f16(X4)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X4))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) ),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c27,plain,
( ~ p19(X0)
| p17(f15(f16(X0)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(hi26,negated_conjecture,
ifeq(p19(X0),true,p17(f15(f16(X0)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))),true) = true,
inference(equality_encoding,[status(esa)],[c27]) ).
cnf(f1,negated_conjecture,
p19(c22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c22_is_p19_2) ).
fof(f1_nnf,plain,
p19(c22),
inference(nnf_transformation,[status(thm)],[f1]) ).
cnf(c1,plain,
p19(c22),
inference(cnf_transformation,[status(esa)],[f1_nnf]) ).
cnf(hi1,negated_conjecture,
p19(c22) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(h2,plain,
p17(f15(f16(c22)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) = true,
inference(hyper_resolution,[status(thm)],[hi26,hi1]) ).
cnf(f23,negated_conjecture,
( ~ p7(X49,X51)
| ~ p7(X50,X52)
| p7(f9(X49,X50),f9(X51,X52)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_24) ).
fof(f23_nnf,plain,
! [X49,X50,X51,X52] :
( ~ p7(X49,X51)
| ~ p7(X50,X52)
| p7(f9(X49,X50),f9(X51,X52)) ),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
! [X49,X50,X51,X52] :
( ~ p7(X49,X51)
| ~ p7(X50,X52)
| p7(f9(X49,X50),f9(X51,X52)) ),
inference(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c23,plain,
( ~ p7(X0,X2)
| ~ p7(X1,X3)
| p7(f9(X0,X1),f9(X2,X3)) ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(hi22,negated_conjecture,
ifeq(p7(X0,X1),true,ifeq(p7(X2,X3),true,p7(f9(X2,X0),f9(X3,X1)),true),true) = true,
inference(equality_encoding,[status(esa)],[c23]) ).
cnf(f3,negated_conjecture,
p7(X32,X32),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_4) ).
fof(f3_nnf,plain,
! [X32] : p7(X32,X32),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X32] : p7(X32,X32),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
p7(X0,X0),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(hi3,negated_conjecture,
p7(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(h6,plain,
p7(f9(V0,V1),f9(V0,V1)) = true,
inference(hyper_resolution,[status(thm)],[hi22,hi3,hi3]) ).
cnf(f25,negated_conjecture,
( ~ p7(X46,X48)
| ~ p7(X45,X47)
| p7(f8(X45,X46),f8(X47,X48)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_26) ).
fof(f25_nnf,plain,
! [X45,X46,X47,X48] :
( ~ p7(X46,X48)
| ~ p7(X45,X47)
| p7(f8(X45,X46),f8(X47,X48)) ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
! [X45,X46,X47,X48] :
( ~ p7(X46,X48)
| ~ p7(X45,X47)
| p7(f8(X45,X46),f8(X47,X48)) ),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c25,plain,
( ~ p7(X1,X3)
| ~ p7(X0,X2)
| p7(f8(X0,X1),f8(X2,X3)) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(hi24,negated_conjecture,
ifeq(p7(X0,X1),true,ifeq(p7(X2,X3),true,p7(f8(X0,X2),f8(X1,X3)),true),true) = true,
inference(equality_encoding,[status(esa)],[c25]) ).
cnf(h67,plain,
p7(f8(V0,f9(V1,V2)),f8(V0,f9(V1,V2))) = true,
inference(hyper_resolution,[status(thm)],[hi24,hi3,h6]) ).
cnf(f18,negated_conjecture,
( ~ p7(X32,X34)
| ~ p7(X32,X33)
| p7(X33,X34) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_19) ).
fof(f18_nnf,plain,
! [X33,X34,X32] :
( ~ p7(X32,X34)
| ~ p7(X32,X33)
| p7(X33,X34) ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
! [X33,X34,X32] :
( ~ p7(X32,X34)
| ~ p7(X32,X33)
| p7(X33,X34) ),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c18,plain,
( ~ p7(X2,X1)
| ~ p7(X2,X0)
| p7(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(hi17,negated_conjecture,
ifeq(p7(X0,X1),true,ifeq(p7(X0,X2),true,p7(X1,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c18]) ).
cnf(f6,negated_conjecture,
p7(f16(c21),f16(c22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_7) ).
fof(f6_nnf,plain,
p7(f16(c21),f16(c22)),
inference(nnf_transformation,[status(thm)],[f6]) ).
cnf(c6,plain,
p7(f16(c21),f16(c22)),
inference(cnf_transformation,[status(esa)],[f6_nnf]) ).
cnf(hi6,negated_conjecture,
p7(f16(c21),f16(c22)) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(h23,plain,
p7(f16(c22),f16(c21)) = true,
inference(hyper_resolution,[status(thm)],[hi17,hi6,hi3]) ).
cnf(f16,negated_conjecture,
( ~ p7(X41,X42)
| p7(f15(X41),f15(X42)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_17) ).
fof(f16_nnf,plain,
! [X41,X42] :
( ~ p7(X41,X42)
| p7(f15(X41),f15(X42)) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [X41,X42] :
( ~ p7(X41,X42)
| p7(f15(X41),f15(X42)) ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
( ~ p7(X0,X1)
| p7(f15(X0),f15(X1)) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(hi15,negated_conjecture,
ifeq(p7(X0,X1),true,p7(f15(X0),f15(X1)),true) = true,
inference(equality_encoding,[status(esa)],[c16]) ).
cnf(h572,plain,
p7(f15(f16(c22)),f15(f16(c21))) = true,
inference(hyper_resolution,[status(thm)],[hi15,h23]) ).
cnf(f21,negated_conjecture,
( ~ p17(X2,X3)
| ~ p7(X3,X1)
| ~ p7(X2,X0)
| p17(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_22) ).
fof(f21_nnf,plain,
! [X0,X1,X2,X3] :
( ~ p17(X2,X3)
| ~ p7(X3,X1)
| ~ p7(X2,X0)
| p17(X0,X1) ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
! [X0,X1,X2,X3] :
( ~ p17(X2,X3)
| ~ p7(X3,X1)
| ~ p7(X2,X0)
| p17(X0,X1) ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
( ~ p17(X2,X3)
| ~ p7(X3,X1)
| ~ p7(X2,X0)
| p17(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(hi20,negated_conjecture,
ifeq(p7(X0,X1),true,ifeq(p7(X2,X3),true,ifeq(p17(X0,X2),true,p17(X1,X3),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c21]) ).
cnf(t251,plain,
p17(f15(f16(c21)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) = true,
inference(hyper_resolution,[status(thm)],[hi20,h572,h67,h2]) ).
cnf(t707,plain,
p17(f15(f16(c21)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) = true,
inference(orient,[status(thm)],[t251]) ).
cnf(t710,plain,
true = ifeq(p19(c21),true,ifeq(p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(c21))),true,ifeq(true,true,p3(f4(f6(c21)),f4(f6(c22))),true),true),true),
inference(cp,[status(thm)],[t671,t707]) ).
cnf(f0,negated_conjecture,
p19(c21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c21_is_p19_1) ).
fof(f0_nnf,plain,
p19(c21),
inference(nnf_transformation,[status(thm)],[f0]) ).
cnf(c0,plain,
p19(c21),
inference(cnf_transformation,[status(esa)],[f0_nnf]) ).
cnf(t0,plain,
p19(c21) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t720,plain,
p19(c21) = true,
inference(orient,[status(thm)],[t0]) ).
cnf(t905,plain,
true = ifeq(true,true,ifeq(p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(c21))),true,ifeq(true,true,p3(f4(f6(c21)),f4(f6(c22))),true),true),true),
inference(step,[status(thm)],[t710,t720]) ).
cnf(t6,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t256,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t6]) ).
cnf(t906,plain,
true = ifeq(p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(c21))),true,ifeq(true,true,p3(f4(f6(c21)),f4(f6(c22))),true),true),
inference(step,[status(thm)],[t905,t256]) ).
cnf(f26,negated_conjecture,
( ~ p19(X4)
| p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X4))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_27) ).
fof(f26_nnf,plain,
! [X4] :
( ~ p19(X4)
| p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X4))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X4))) ),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
! [X4] :
( ~ p19(X4)
| p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X4))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X4))) ),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c26,plain,
( ~ p19(X0)
| p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X0))) ),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(hi25,negated_conjecture,
ifeq(p19(X0),true,p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X0))),true) = true,
inference(equality_encoding,[status(esa)],[c26]) ).
cnf(h3,plain,
p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(c22))) = true,
inference(hyper_resolution,[status(thm)],[hi25,hi1]) ).
cnf(f22,negated_conjecture,
( ~ p18(X7,X8)
| ~ p7(X8,X6)
| ~ p7(X7,X5)
| p18(X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_23) ).
fof(f22_nnf,plain,
! [X5,X6,X7,X8] :
( ~ p18(X7,X8)
| ~ p7(X8,X6)
| ~ p7(X7,X5)
| p18(X5,X6) ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
! [X5,X6,X7,X8] :
( ~ p18(X7,X8)
| ~ p7(X8,X6)
| ~ p7(X7,X5)
| p18(X5,X6) ),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c22,plain,
( ~ p18(X2,X3)
| ~ p7(X3,X1)
| ~ p7(X2,X0)
| p18(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(hi21,negated_conjecture,
ifeq(p7(X0,X1),true,ifeq(p7(X2,X3),true,ifeq(p18(X0,X2),true,p18(X1,X3),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c22]) ).
cnf(t247,plain,
p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(c21))) = true,
inference(hyper_resolution,[status(thm)],[hi21,h6,h572,h3]) ).
cnf(t693,plain,
p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(c22))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(c21))) = true,
inference(orient,[status(thm)],[t247]) ).
cnf(t907,plain,
true = ifeq(true,true,ifeq(true,true,p3(f4(f6(c21)),f4(f6(c22))),true),true),
inference(step,[status(thm)],[t906,t693]) ).
cnf(t908,plain,
true = ifeq(true,true,p3(f4(f6(c21)),f4(f6(c22))),true),
inference(step,[status(thm)],[t907,t256]) ).
cnf(t909,plain,
true = p3(f4(f6(c21)),f4(f6(c22))),
inference(step,[status(thm)],[t908,t256]) ).
cnf(t868,plain,
p3(f4(f6(c21)),f4(f6(c22))) = true,
inference(orient,[status(thm)],[t909]) ).
cnf(f7,negated_conjecture,
~ p3(f4(f6(c21)),f4(f6(c22))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p3_8) ).
fof(f7_nnf,plain,
~ p3(f4(f6(c21)),f4(f6(c22))),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
~ p3(f4(f6(c21)),f4(f6(c22))),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
~ p3(f4(f6(c21)),f4(f6(c22))),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(goal_0,negated_conjecture,
p3(f4(f6(c21)),f4(f6(c22))) != true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t868]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN600-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n008.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 : Fri Sep 25 01:52:39 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 28.55/4.71 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.55/4.71 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------