%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN716-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n015.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 03:35:33 PM UTC 2026
% Result : Unsatisfiable 5.06s 1.12s
% Output : Proof 5.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 57 ( 37 unt; 0 def)
% Number of atoms : 89 ( 17 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 74 ( 42 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 43 ( 43 usr; 15 con; 0-4 aty)
% Number of variables : 155 ( 20 sgn 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f85,negated_conjecture,
( ~ p3(X124,X126)
| ~ p2(X123,X125)
| p4(f5(X123,X124),f5(X125,X126)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_86) ).
fof(f85_nnf,plain,
! [X123,X124,X125,X126] :
( ~ p3(X124,X126)
| ~ p2(X123,X125)
| p4(f5(X123,X124),f5(X125,X126)) ),
inference(nnf_transformation,[status(thm)],[f85]) ).
fof(f85_sk,plain,
! [X123,X124,X125,X126] :
( ~ p3(X124,X126)
| ~ p2(X123,X125)
| p4(f5(X123,X124),f5(X125,X126)) ),
inference(skolemisation,[status(esa)],[f85_nnf]) ).
cnf(c85,plain,
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p4(f5(X0,X1),f5(X2,X3)) ),
inference(cnf_transformation,[status(esa)],[f85_sk]) ).
cnf(hi84,negated_conjecture,
ifeq(p2(X0,X1),true,ifeq(p3(X2,X3),true,p4(f5(X0,X2),f5(X1,X3)),true),true) = true,
inference(equality_encoding,[status(esa)],[c85]) ).
cnf(f27,negated_conjecture,
p2(X44,X44),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_28) ).
fof(f27_nnf,plain,
! [X44] : p2(X44,X44),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
! [X44] : p2(X44,X44),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c27,plain,
p2(X0,X0),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(hi27,negated_conjecture,
p2(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c27]) ).
cnf(f105,negated_conjecture,
p3(f8(f11(f13(c65,f16(f19(f21(c66,X7),X8),X9)),X10),X11),f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,X7),X8),X9),X10),X11)),f43(f45(f47(f49(f51(c75,X7),X8),X9),X10),X11)),f53(f55(f57(f59(f61(c76,X7),X8),X9),X10),X11))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_106) ).
fof(f105_nnf,plain,
! [X7,X8,X9,X10,X11] : p3(f8(f11(f13(c65,f16(f19(f21(c66,X7),X8),X9)),X10),X11),f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,X7),X8),X9),X10),X11)),f43(f45(f47(f49(f51(c75,X7),X8),X9),X10),X11)),f53(f55(f57(f59(f61(c76,X7),X8),X9),X10),X11))),
inference(nnf_transformation,[status(thm)],[f105]) ).
fof(f105_sk,plain,
! [X7,X8,X9,X10,X11] : p3(f8(f11(f13(c65,f16(f19(f21(c66,X7),X8),X9)),X10),X11),f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,X7),X8),X9),X10),X11)),f43(f45(f47(f49(f51(c75,X7),X8),X9),X10),X11)),f53(f55(f57(f59(f61(c76,X7),X8),X9),X10),X11))),
inference(skolemisation,[status(esa)],[f105_nnf]) ).
cnf(c105,plain,
p3(f8(f11(f13(c65,f16(f19(f21(c66,X0),X1),X2)),X3),X4),f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,X0),X1),X2),X3),X4)),f43(f45(f47(f49(f51(c75,X0),X1),X2),X3),X4)),f53(f55(f57(f59(f61(c76,X0),X1),X2),X3),X4))),
inference(cnf_transformation,[status(esa)],[f105_sk]) ).
cnf(hi103,negated_conjecture,
p3(f8(f11(f13(c65,f16(f19(f21(c66,X0),X1),X2)),X3),X4),f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,X0),X1),X2),X3),X4)),f43(f45(f47(f49(f51(c75,X0),X1),X2),X3),X4)),f53(f55(f57(f59(f61(c76,X0),X1),X2),X3),X4))) = true,
inference(equality_encoding,[status(esa)],[c105]) ).
cnf(h28,plain,
p4(f5(V0,f8(f11(f13(c65,f16(f19(f21(c66,V1),V2),V3)),V4),V5)),f5(V0,f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,V1),V2),V3),V4),V5)),f43(f45(f47(f49(f51(c75,V1),V2),V3),V4),V5)),f53(f55(f57(f59(f61(c76,V1),V2),V3),V4),V5)))) = true,
inference(hyper_resolution,[status(thm)],[hi84,hi27,hi103]) ).
cnf(f67,negated_conjecture,
( ~ p32(X201,X200)
| ~ p62(X202,X201)
| ~ p4(X202,X199)
| p62(X199,X200) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_68) ).
fof(f67_nnf,plain,
! [X199,X200,X202,X201] :
( ~ p32(X201,X200)
| ~ p62(X202,X201)
| ~ p4(X202,X199)
| p62(X199,X200) ),
inference(nnf_transformation,[status(thm)],[f67]) ).
fof(f67_sk,plain,
! [X199,X200,X202,X201] :
( ~ p32(X201,X200)
| ~ p62(X202,X201)
| ~ p4(X202,X199)
| p62(X199,X200) ),
inference(skolemisation,[status(esa)],[f67_nnf]) ).
cnf(c67,plain,
( ~ p32(X3,X1)
| ~ p62(X2,X3)
| ~ p4(X2,X0)
| p62(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f67_sk]) ).
cnf(hi66,negated_conjecture,
ifeq(p4(X0,X1),true,ifeq(p62(X0,X2),true,ifeq(p32(X2,X3),true,p62(X1,X3),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c67]) ).
cnf(f99,negated_conjecture,
p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_100) ).
fof(f99_nnf,plain,
p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72),
inference(nnf_transformation,[status(thm)],[f99]) ).
cnf(c99,plain,
p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72),
inference(cnf_transformation,[status(esa)],[f99_nnf]) ).
cnf(hi98,negated_conjecture,
p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72) = true,
inference(equality_encoding,[status(esa)],[c99]) ).
cnf(f19,negated_conjecture,
p32(X92,X92),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p32_20) ).
fof(f19_nnf,plain,
! [X92] : p32(X92,X92),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
! [X92] : p32(X92,X92),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c19,plain,
p32(X0,X0),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(hi19,negated_conjecture,
p32(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c19]) ).
cnf(h106,plain,
p62(f5(c64,f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71))),c72) = true,
inference(hyper_resolution,[status(thm)],[hi66,h28,hi98,hi19]) ).
cnf(f96,negated_conjecture,
( ~ p62(f5(c64,f16(f19(f21(c66,X203),X205),X206)),X204)
| p62(X203,X204) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_97) ).
fof(f96_nnf,plain,
! [X203,X204,X205,X206] :
( ~ p62(f5(c64,f16(f19(f21(c66,X203),X205),X206)),X204)
| p62(X203,X204) ),
inference(nnf_transformation,[status(thm)],[f96]) ).
fof(f96_sk,plain,
! [X203,X204,X205,X206] :
( ~ p62(f5(c64,f16(f19(f21(c66,X203),X205),X206)),X204)
| p62(X203,X204) ),
inference(skolemisation,[status(esa)],[f96_nnf]) ).
cnf(c96,plain,
( ~ p62(f5(c64,f16(f19(f21(c66,X0),X2),X3)),X1)
| p62(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f96_sk]) ).
cnf(hi95,negated_conjecture,
ifeq(p62(f5(c64,f16(f19(f21(c66,X0),X1),X2)),X3),true,p62(X0,X3),true) = true,
inference(equality_encoding,[status(esa)],[c96]) ).
cnf(h442,plain,
p62(f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71),c72) = true,
inference(hyper_resolution,[status(thm)],[hi95,h106]) ).
cnf(f98,negated_conjecture,
( ~ p62(f23(f25(f27(f29(f31(c74,X7),X8),X9),X10),X11),X12)
| p62(X7,X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_99) ).
fof(f98_nnf,plain,
! [X7,X12,X8,X9,X10,X11] :
( ~ p62(f23(f25(f27(f29(f31(c74,X7),X8),X9),X10),X11),X12)
| p62(X7,X12) ),
inference(nnf_transformation,[status(thm)],[f98]) ).
fof(f98_sk,plain,
! [X7,X12,X8,X9,X10,X11] :
( ~ p62(f23(f25(f27(f29(f31(c74,X7),X8),X9),X10),X11),X12)
| p62(X7,X12) ),
inference(skolemisation,[status(esa)],[f98_nnf]) ).
cnf(c98,plain,
( ~ p62(f23(f25(f27(f29(f31(c74,X0),X2),X3),X4),X5),X1)
| p62(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f98_sk]) ).
cnf(hi97,negated_conjecture,
ifeq(p62(f23(f25(f27(f29(f31(c74,X0),X1),X2),X3),X4),X5),true,p62(X0,X5),true) = true,
inference(equality_encoding,[status(esa)],[c98]) ).
cnf(h445,plain,
p62(c67,c72) = true,
inference(hyper_resolution,[status(thm)],[hi97,h442]) ).
cnf(f33,negated_conjecture,
~ p62(c67,c72),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p62_34) ).
fof(f33_nnf,plain,
~ p62(c67,c72),
inference(nnf_transformation,[status(thm)],[f33]) ).
fof(f33_sk,plain,
~ p62(c67,c72),
inference(skolemisation,[status(esa)],[f33_nnf]) ).
cnf(c33,plain,
~ p62(c67,c72),
inference(cnf_transformation,[status(esa)],[f33_sk]) ).
cnf(hi104,negated_conjecture,
ifeq(p62(c67,c72),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c33]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi104,h445]) ).
cnf(t462,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
cnf(f102,negated_conjecture,
( ~ p62(f23(f25(f27(f29(f31(c74,X7),X8),X9),X10),X11),X12)
| ~ p63(f36(f39(f41(c73,X10),X11),f37(X8,X12)),f33(X9,X12)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p63_103) ).
fof(f102_nnf,plain,
! [X10,X11,X8,X12,X9,X7] :
( ~ p62(f23(f25(f27(f29(f31(c74,X7),X8),X9),X10),X11),X12)
| ~ p63(f36(f39(f41(c73,X10),X11),f37(X8,X12)),f33(X9,X12)) ),
inference(nnf_transformation,[status(thm)],[f102]) ).
fof(f102_sk,plain,
! [X10,X11,X8,X12,X9,X7] :
( ~ p62(f23(f25(f27(f29(f31(c74,X7),X8),X9),X10),X11),X12)
| ~ p63(f36(f39(f41(c73,X10),X11),f37(X8,X12)),f33(X9,X12)) ),
inference(skolemisation,[status(esa)],[f102_nnf]) ).
cnf(c102,plain,
( ~ p62(f23(f25(f27(f29(f31(c74,X5),X2),X4),X0),X1),X3)
| ~ p63(f36(f39(f41(c73,X0),X1),f37(X2,X3)),f33(X4,X3)) ),
inference(cnf_transformation,[status(esa)],[f102_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c33,c102]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t462]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN716-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.39 % Computer : n015.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Fri Sep 25 02:13:14 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.06/1.12 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.06/1.12 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------