%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN640-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : 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 03:35:23 PM UTC 2026
% Result : Unsatisfiable 32.03s 4.94s
% Output : Proof 32.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 75 ( 55 unt; 0 def)
% Number of atoms : 115 ( 23 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 90 ( 50 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-4 aty)
% Number of variables : 77 ( 0 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f27,negated_conjecture,
( ~ p19(X14,X15)
| ~ p2(X15,X13)
| ~ p2(X14,X12)
| p19(X12,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_28) ).
fof(f27_nnf,plain,
! [X12,X13,X14,X15] :
( ~ p19(X14,X15)
| ~ p2(X15,X13)
| ~ p2(X14,X12)
| p19(X12,X13) ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
! [X12,X13,X14,X15] :
( ~ p19(X14,X15)
| ~ p2(X15,X13)
| ~ p2(X14,X12)
| p19(X12,X13) ),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c27,plain,
( ~ p19(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p19(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(hi25,negated_conjecture,
ifeq(p2(X0,X1),true,ifeq(p2(X2,X3),true,ifeq(p19(X0,X2),true,p19(X1,X3),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c27]) ).
cnf(f32,negated_conjecture,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_33) ).
fof(f32_nnf,plain,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
inference(nnf_transformation,[status(thm)],[f32]) ).
cnf(c32,plain,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
inference(cnf_transformation,[status(esa)],[f32_nnf]) ).
cnf(hi30,negated_conjecture,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))) = true,
inference(equality_encoding,[status(esa)],[c32]) ).
cnf(f4,negated_conjecture,
p2(X16,X16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
fof(f4_nnf,plain,
! [X16] : p2(X16,X16),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X16] : p2(X16,X16),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
p2(X0,X0),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(hi4,negated_conjecture,
p2(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(f11,negated_conjecture,
p19(f13(f11(c23)),f13(f11(c22))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19_12) ).
fof(f11_nnf,plain,
p19(f13(f11(c23)),f13(f11(c22))),
inference(nnf_transformation,[status(thm)],[f11]) ).
cnf(c11,plain,
p19(f13(f11(c23)),f13(f11(c22))),
inference(cnf_transformation,[status(esa)],[f11_nnf]) ).
cnf(hi9,negated_conjecture,
p19(f13(f11(c23)),f13(f11(c22))) = true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(h53,plain,
p19(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c22))) = true,
inference(hyper_resolution,[status(thm)],[hi25,hi30,hi4,hi9]) ).
cnf(f13,negated_conjecture,
( ~ p10(X51,X52)
| p4(f11(X51),f11(X52)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_14) ).
fof(f13_nnf,plain,
! [X51,X52] :
( ~ p10(X51,X52)
| p4(f11(X51),f11(X52)) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [X51,X52] :
( ~ p10(X51,X52)
| p4(f11(X51),f11(X52)) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
( ~ p10(X0,X1)
| p4(f11(X0),f11(X1)) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(hi11,negated_conjecture,
ifeq(p10(X0,X1),true,p4(f11(X0),f11(X1)),true) = true,
inference(equality_encoding,[status(esa)],[c13]) ).
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(h1,plain,
p4(f11(V0),f11(V0)) = true,
inference(hyper_resolution,[status(thm)],[hi11,hi1]) ).
cnf(f17,negated_conjecture,
( ~ p4(X21,X22)
| p2(f13(X21),f13(X22)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_18) ).
fof(f17_nnf,plain,
! [X21,X22] :
( ~ p4(X21,X22)
| p2(f13(X21),f13(X22)) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [X21,X22] :
( ~ p4(X21,X22)
| p2(f13(X21),f13(X22)) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c17,plain,
( ~ p4(X0,X1)
| p2(f13(X0),f13(X1)) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(hi15,negated_conjecture,
ifeq(p4(X0,X1),true,p2(f13(X0),f13(X1)),true) = true,
inference(equality_encoding,[status(esa)],[c17]) ).
cnf(h60,plain,
p2(f13(f11(V0)),f13(f11(V0))) = true,
inference(hyper_resolution,[status(thm)],[hi15,h1]) ).
cnf(f25,negated_conjecture,
( ~ p2(X16,X18)
| ~ p2(X16,X17)
| p2(X17,X18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_26) ).
fof(f25_nnf,plain,
! [X17,X18,X16] :
( ~ p2(X16,X18)
| ~ p2(X16,X17)
| p2(X17,X18) ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
! [X17,X18,X16] :
( ~ p2(X16,X18)
| ~ p2(X16,X17)
| p2(X17,X18) ),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c25,plain,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(hi23,negated_conjecture,
ifeq(p2(X0,X1),true,ifeq(p2(X0,X2),true,p2(X1,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c25]) ).
cnf(f33,negated_conjecture,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_34) ).
fof(f33_nnf,plain,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
inference(nnf_transformation,[status(thm)],[f33]) ).
cnf(c33,plain,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
inference(cnf_transformation,[status(esa)],[f33_nnf]) ).
cnf(hi31,negated_conjecture,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))) = true,
inference(equality_encoding,[status(esa)],[c33]) ).
cnf(h75,plain,
p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c25))) = true,
inference(hyper_resolution,[status(thm)],[hi23,hi31,hi4]) ).
cnf(h3783,plain,
p19(f13(f11(c25)),f13(f11(c22))) = true,
inference(hyper_resolution,[status(thm)],[hi25,h75,h60,h53]) ).
cnf(f34,negated_conjecture,
( ~ p19(f13(f11(X35)),f13(f11(X36)))
| ~ p2(f12(f11(X35)),f7(c24))
| ~ p2(f12(f11(X36)),f7(c24))
| p20(f17(X35),f17(X36)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_35) ).
fof(f34_nnf,plain,
! [X35,X36] :
( ~ p19(f13(f11(X35)),f13(f11(X36)))
| ~ p2(f12(f11(X35)),f7(c24))
| ~ p2(f12(f11(X36)),f7(c24))
| p20(f17(X35),f17(X36)) ),
inference(nnf_transformation,[status(thm)],[f34]) ).
fof(f34_sk,plain,
! [X35,X36] :
( ~ p19(f13(f11(X35)),f13(f11(X36)))
| ~ p2(f12(f11(X35)),f7(c24))
| ~ p2(f12(f11(X36)),f7(c24))
| p20(f17(X35),f17(X36)) ),
inference(skolemisation,[status(esa)],[f34_nnf]) ).
cnf(c34,plain,
( ~ p19(f13(f11(X0)),f13(f11(X1)))
| ~ p2(f12(f11(X0)),f7(c24))
| ~ p2(f12(f11(X1)),f7(c24))
| p20(f17(X0),f17(X1)) ),
inference(cnf_transformation,[status(esa)],[f34_sk]) ).
cnf(hi32,negated_conjecture,
ifeq(p2(f12(f11(X0)),f7(c24)),true,ifeq(p2(f12(f11(X1)),f7(c24)),true,ifeq(p19(f13(f11(X1)),f13(f11(X0))),true,p20(f17(X1),f17(X0)),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c34]) ).
cnf(f9,negated_conjecture,
p2(f12(f11(c22)),f7(c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_10) ).
fof(f9_nnf,plain,
p2(f12(f11(c22)),f7(c24)),
inference(nnf_transformation,[status(thm)],[f9]) ).
cnf(c9,plain,
p2(f12(f11(c22)),f7(c24)),
inference(cnf_transformation,[status(esa)],[f9_nnf]) ).
cnf(hi7,negated_conjecture,
p2(f12(f11(c22)),f7(c24)) = true,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(f8,negated_conjecture,
p2(f12(f11(c25)),f7(c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_9) ).
fof(f8_nnf,plain,
p2(f12(f11(c25)),f7(c24)),
inference(nnf_transformation,[status(thm)],[f8]) ).
cnf(c8,plain,
p2(f12(f11(c25)),f7(c24)),
inference(cnf_transformation,[status(esa)],[f8_nnf]) ).
cnf(hi6,negated_conjecture,
p2(f12(f11(c25)),f7(c24)) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(h16631,plain,
p20(f17(c25),f17(c22)) = true,
inference(hyper_resolution,[status(thm)],[hi32,hi7,hi6,h3783]) ).
cnf(f6,negated_conjecture,
~ p20(f17(c25),f17(c22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p20_7) ).
fof(f6_nnf,plain,
~ p20(f17(c25),f17(c22)),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
~ p20(f17(c25),f17(c22)),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
~ p20(f17(c25),f17(c22)),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(hi40,negated_conjecture,
ifeq(p20(f17(c25),f17(c22)),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi40,h16631]) ).
cnf(t1002,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
cnf(f7,negated_conjecture,
~ p20(f17(c22),f17(c23)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p20_8) ).
fof(f7_nnf,plain,
~ p20(f17(c22),f17(c23)),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
~ p20(f17(c22),f17(c23)),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
~ p20(f17(c22),f17(c23)),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c6,c7]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t1002]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN640-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n015.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 02:00:56 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 32.03/4.94 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.03/4.94 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------