%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN659-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n006.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 03:35:25 PM UTC 2026
% Result : Unsatisfiable 17.77s 2.75s
% Output : Proof 17.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 93 ( 69 unt; 0 def)
% Number of atoms : 145 ( 28 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 114 ( 62 ~; 52 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 11 con; 0-4 aty)
% Number of variables : 131 ( 0 sgn 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f43,negated_conjecture,
( ~ p2(X17,X19)
| ~ p10(X16,X18)
| p12(f13(X16,X17),f13(X18,X19)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_44) ).
fof(f43_nnf,plain,
! [X16,X17,X18,X19] :
( ~ p2(X17,X19)
| ~ p10(X16,X18)
| p12(f13(X16,X17),f13(X18,X19)) ),
inference(nnf_transformation,[status(thm)],[f43]) ).
fof(f43_sk,plain,
! [X16,X17,X18,X19] :
( ~ p2(X17,X19)
| ~ p10(X16,X18)
| p12(f13(X16,X17),f13(X18,X19)) ),
inference(skolemisation,[status(esa)],[f43_nnf]) ).
cnf(c43,plain,
( ~ p2(X1,X3)
| ~ p10(X0,X2)
| p12(f13(X0,X1),f13(X2,X3)) ),
inference(cnf_transformation,[status(esa)],[f43_sk]) ).
cnf(hi41,negated_conjecture,
ifeq(p10(X0,X1),true,ifeq(p2(X2,X3),true,p12(f13(X0,X2),f13(X1,X3)),true),true) = true,
inference(equality_encoding,[status(esa)],[c43]) ).
cnf(f11,negated_conjecture,
p10(f16(c31),c32),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_12) ).
fof(f11_nnf,plain,
p10(f16(c31),c32),
inference(nnf_transformation,[status(thm)],[f11]) ).
cnf(c11,plain,
p10(f16(c31),c32),
inference(cnf_transformation,[status(esa)],[f11_nnf]) ).
cnf(hi11,negated_conjecture,
p10(f16(c31),c32) = true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(f14,negated_conjecture,
p2(f17(c31),c33),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_15) ).
fof(f14_nnf,plain,
p2(f17(c31),c33),
inference(nnf_transformation,[status(thm)],[f14]) ).
cnf(c14,plain,
p2(f17(c31),c33),
inference(cnf_transformation,[status(esa)],[f14_nnf]) ).
cnf(hi14,negated_conjecture,
p2(f17(c31),c33) = true,
inference(equality_encoding,[status(esa)],[c14]) ).
cnf(h23,plain,
p12(f13(f16(c31),f17(c31)),f13(c32,c33)) = true,
inference(hyper_resolution,[status(thm)],[hi41,hi11,hi14]) ).
cnf(f34,negated_conjecture,
( ~ p2(X32,X34)
| ~ p2(X32,X33)
| p2(X33,X34) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_35) ).
fof(f34_nnf,plain,
! [X33,X34,X32] :
( ~ p2(X32,X34)
| ~ p2(X32,X33)
| p2(X33,X34) ),
inference(nnf_transformation,[status(thm)],[f34]) ).
fof(f34_sk,plain,
! [X33,X34,X32] :
( ~ p2(X32,X34)
| ~ p2(X32,X33)
| p2(X33,X34) ),
inference(skolemisation,[status(esa)],[f34_nnf]) ).
cnf(c34,plain,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f34_sk]) ).
cnf(hi33,negated_conjecture,
ifeq(p2(X0,X1),true,ifeq(p2(X0,X2),true,p2(X1,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c34]) ).
cnf(f6,negated_conjecture,
p2(X32,X32),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).
fof(f6_nnf,plain,
! [X32] : p2(X32,X32),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X32] : p2(X32,X32),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
p2(X0,X0),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(hi6,negated_conjecture,
p2(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(h25,plain,
p2(c33,f17(c31)) = true,
inference(hyper_resolution,[status(thm)],[hi33,hi14,hi6]) ).
cnf(f29,negated_conjecture,
( ~ p10(X0,X2)
| ~ p10(X0,X1)
| p10(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_30) ).
fof(f29_nnf,plain,
! [X1,X2,X0] :
( ~ p10(X0,X2)
| ~ p10(X0,X1)
| p10(X1,X2) ),
inference(nnf_transformation,[status(thm)],[f29]) ).
fof(f29_sk,plain,
! [X1,X2,X0] :
( ~ p10(X0,X2)
| ~ p10(X0,X1)
| p10(X1,X2) ),
inference(skolemisation,[status(esa)],[f29_nnf]) ).
cnf(c29,plain,
( ~ p10(X2,X1)
| ~ p10(X2,X0)
| p10(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f29_sk]) ).
cnf(hi28,negated_conjecture,
ifeq(p10(X0,X1),true,ifeq(p10(X0,X2),true,p10(X1,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c29]) ).
cnf(f1,negated_conjecture,
p10(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_2) ).
fof(f1_nnf,plain,
! [X0] : p10(X0,X0),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X0] : p10(X0,X0),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
p10(X0,X0),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(hi1,negated_conjecture,
p10(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(h14,plain,
p10(c32,f16(c31)) = true,
inference(hyper_resolution,[status(thm)],[hi28,hi11,hi1]) ).
cnf(h54,plain,
p12(f13(c32,c33),f13(f16(c31),f17(c31))) = true,
inference(hyper_resolution,[status(thm)],[hi41,h14,h25]) ).
cnf(f40,negated_conjecture,
( ~ p12(X69,X68)
| ~ p24(X70,X69)
| ~ p14(X70,X67)
| p24(X67,X68) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_41) ).
fof(f40_nnf,plain,
! [X67,X68,X70,X69] :
( ~ p12(X69,X68)
| ~ p24(X70,X69)
| ~ p14(X70,X67)
| p24(X67,X68) ),
inference(nnf_transformation,[status(thm)],[f40]) ).
fof(f40_sk,plain,
! [X67,X68,X70,X69] :
( ~ p12(X69,X68)
| ~ p24(X70,X69)
| ~ p14(X70,X67)
| p24(X67,X68) ),
inference(skolemisation,[status(esa)],[f40_nnf]) ).
cnf(c40,plain,
( ~ p12(X3,X1)
| ~ p24(X2,X3)
| ~ p14(X2,X0)
| p24(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f40_sk]) ).
cnf(hi38,negated_conjecture,
ifeq(p14(X0,X1),true,ifeq(p24(X0,X2),true,ifeq(p12(X2,X3),true,p24(X1,X3),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c40]) ).
cnf(f8,negated_conjecture,
p14(X20,X20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_9) ).
fof(f8_nnf,plain,
! [X20] : p14(X20,X20),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [X20] : p14(X20,X20),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
p14(X0,X0),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(hi8,negated_conjecture,
p14(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(f26,negated_conjecture,
p24(f15(c29,f13(c40,c41)),f13(c32,c33)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24_27) ).
fof(f26_nnf,plain,
p24(f15(c29,f13(c40,c41)),f13(c32,c33)),
inference(nnf_transformation,[status(thm)],[f26]) ).
cnf(c26,plain,
p24(f15(c29,f13(c40,c41)),f13(c32,c33)),
inference(cnf_transformation,[status(esa)],[f26_nnf]) ).
cnf(hi25,negated_conjecture,
p24(f15(c29,f13(c40,c41)),f13(c32,c33)) = true,
inference(equality_encoding,[status(esa)],[c26]) ).
cnf(h795,plain,
p24(f15(c29,f13(c40,c41)),f13(f16(c31),f17(c31))) = true,
inference(hyper_resolution,[status(thm)],[hi38,hi8,hi25,h54]) ).
cnf(f37,negated_conjecture,
( ~ p12(X13,X15)
| ~ p12(X13,X14)
| p12(X14,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_38) ).
fof(f37_nnf,plain,
! [X14,X15,X13] :
( ~ p12(X13,X15)
| ~ p12(X13,X14)
| p12(X14,X15) ),
inference(nnf_transformation,[status(thm)],[f37]) ).
fof(f37_sk,plain,
! [X14,X15,X13] :
( ~ p12(X13,X15)
| ~ p12(X13,X14)
| p12(X14,X15) ),
inference(skolemisation,[status(esa)],[f37_nnf]) ).
cnf(c37,plain,
( ~ p12(X2,X1)
| ~ p12(X2,X0)
| p12(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f37_sk]) ).
cnf(hi36,negated_conjecture,
ifeq(p12(X0,X1),true,ifeq(p12(X0,X2),true,p12(X1,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c37]) ).
cnf(f28,negated_conjecture,
p12(f13(f16(c39),f17(c39)),f13(c40,c41)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_29) ).
fof(f28_nnf,plain,
p12(f13(f16(c39),f17(c39)),f13(c40,c41)),
inference(nnf_transformation,[status(thm)],[f28]) ).
cnf(c28,plain,
p12(f13(f16(c39),f17(c39)),f13(c40,c41)),
inference(cnf_transformation,[status(esa)],[f28_nnf]) ).
cnf(hi27,negated_conjecture,
p12(f13(f16(c39),f17(c39)),f13(c40,c41)) = true,
inference(equality_encoding,[status(esa)],[c28]) ).
cnf(f9,negated_conjecture,
p12(X13,X13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_10) ).
fof(f9_nnf,plain,
! [X13] : p12(X13,X13),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [X13] : p12(X13,X13),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
p12(X0,X0),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(hi9,negated_conjecture,
p12(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(h761,plain,
p12(f13(c40,c41),f13(f16(c39),f17(c39))) = true,
inference(hyper_resolution,[status(thm)],[hi36,hi27,hi9]) ).
cnf(f44,negated_conjecture,
( ~ p7(X23,X25)
| ~ p12(X24,X26)
| p14(f15(X23,X24),f15(X25,X26)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_45) ).
fof(f44_nnf,plain,
! [X23,X24,X25,X26] :
( ~ p7(X23,X25)
| ~ p12(X24,X26)
| p14(f15(X23,X24),f15(X25,X26)) ),
inference(nnf_transformation,[status(thm)],[f44]) ).
fof(f44_sk,plain,
! [X23,X24,X25,X26] :
( ~ p7(X23,X25)
| ~ p12(X24,X26)
| p14(f15(X23,X24),f15(X25,X26)) ),
inference(skolemisation,[status(esa)],[f44_nnf]) ).
cnf(c44,plain,
( ~ p7(X0,X2)
| ~ p12(X1,X3)
| p14(f15(X0,X1),f15(X2,X3)) ),
inference(cnf_transformation,[status(esa)],[f44_sk]) ).
cnf(hi42,negated_conjecture,
ifeq(p12(X0,X1),true,ifeq(p7(X2,X3),true,p14(f15(X2,X0),f15(X3,X1)),true),true) = true,
inference(equality_encoding,[status(esa)],[c44]) ).
cnf(f2,negated_conjecture,
p7(X87,X87),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_3) ).
fof(f2_nnf,plain,
! [X87] : p7(X87,X87),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X87] : p7(X87,X87),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
p7(X0,X0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(hi2,negated_conjecture,
p7(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(h958,plain,
p14(f15(V0,f13(c40,c41)),f15(V0,f13(f16(c39),f17(c39)))) = true,
inference(hyper_resolution,[status(thm)],[hi42,h761,hi2]) ).
cnf(h1819,plain,
p24(f15(c29,f13(f16(c39),f17(c39))),f13(c32,c33)) = true,
inference(hyper_resolution,[status(thm)],[hi38,h958,h795,h23]) ).
cnf(f38,negated_conjecture,
~ p24(f15(c29,f13(f16(c39),f17(c39))),f13(c32,c33)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p24_39) ).
fof(f38_nnf,plain,
~ p24(f15(c29,f13(f16(c39),f17(c39))),f13(c32,c33)),
inference(nnf_transformation,[status(thm)],[f38]) ).
fof(f38_sk,plain,
~ p24(f15(c29,f13(f16(c39),f17(c39))),f13(c32,c33)),
inference(skolemisation,[status(esa)],[f38_nnf]) ).
cnf(c38,plain,
~ p24(f15(c29,f13(f16(c39),f17(c39))),f13(c32,c33)),
inference(cnf_transformation,[status(esa)],[f38_sk]) ).
cnf(hi50,negated_conjecture,
ifeq(p24(f15(c29,f13(f16(c39),f17(c39))),f13(c32,c33)),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c38]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi50,h1819]) ).
cnf(t1844,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
cnf(f16,negated_conjecture,
~ p14(f18(c34),c35),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p14_17) ).
fof(f16_nnf,plain,
~ p14(f18(c34),c35),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
~ p14(f18(c34),c35),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
~ p14(f18(c34),c35),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c16,c38]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t1844]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN659-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n006.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 02:00:11 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 17.77/2.75 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.77/2.75 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------