%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN570-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n002.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 03:35:13 PM UTC 2026
% Result : Unsatisfiable 5.77s 1.19s
% Output : Proof 5.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 61 ( 41 unt; 0 def)
% Number of atoms : 97 ( 18 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 78 ( 42 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 86 ( 0 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f17,negated_conjecture,
( ~ p2(X7,X9)
| ~ p2(X7,X8)
| p2(X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_18) ).
fof(f17_nnf,plain,
! [X8,X9,X7] :
( ~ p2(X7,X9)
| ~ p2(X7,X8)
| p2(X8,X9) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [X8,X9,X7] :
( ~ p2(X7,X9)
| ~ p2(X7,X8)
| p2(X8,X9) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c17,plain,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(hi16,negated_conjecture,
ifeq(p2(X0,X1),true,ifeq(p2(X0,X2),true,p2(X1,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c17]) ).
cnf(f7,negated_conjecture,
p2(c12,f5(c15)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).
fof(f7_nnf,plain,
p2(c12,f5(c15)),
inference(nnf_transformation,[status(thm)],[f7]) ).
cnf(c7,plain,
p2(c12,f5(c15)),
inference(cnf_transformation,[status(esa)],[f7_nnf]) ).
cnf(hi7,negated_conjecture,
p2(c12,f5(c15)) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(f4,negated_conjecture,
p2(X7,X7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).
fof(f4_nnf,plain,
! [X7] : p2(X7,X7),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X7] : p2(X7,X7),
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(h5,plain,
p2(f5(c15),c12) = true,
inference(hyper_resolution,[status(thm)],[hi16,hi7,hi4]) ).
cnf(f12,negated_conjecture,
( ~ p2(X15,X16)
| p3(f4(X15),f4(X16)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_13) ).
fof(f12_nnf,plain,
! [X15,X16] :
( ~ p2(X15,X16)
| p3(f4(X15),f4(X16)) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [X15,X16] :
( ~ p2(X15,X16)
| p3(f4(X15),f4(X16)) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
( ~ p2(X0,X1)
| p3(f4(X0),f4(X1)) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(hi11,negated_conjecture,
ifeq(p2(X0,X1),true,p3(f4(X0),f4(X1)),true) = true,
inference(equality_encoding,[status(esa)],[c12]) ).
cnf(h11,plain,
p3(f4(f5(c15)),f4(c12)) = true,
inference(hyper_resolution,[status(thm)],[hi11,h5]) ).
cnf(f16,negated_conjecture,
( ~ p3(X12,X14)
| ~ p3(X12,X13)
| p3(X13,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_17) ).
fof(f16_nnf,plain,
! [X13,X14,X12] :
( ~ p3(X12,X14)
| ~ p3(X12,X13)
| p3(X13,X14) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [X13,X14,X12] :
( ~ p3(X12,X14)
| ~ p3(X12,X13)
| p3(X13,X14) ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(hi15,negated_conjecture,
ifeq(p3(X0,X1),true,ifeq(p3(X0,X2),true,p3(X1,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c16]) ).
cnf(f8,negated_conjecture,
p3(f4(f5(X17)),X17),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_9) ).
fof(f8_nnf,plain,
! [X17] : p3(f4(f5(X17)),X17),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [X17] : p3(f4(f5(X17)),X17),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
p3(f4(f5(X0)),X0),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(hi8,negated_conjecture,
p3(f4(f5(X0)),X0) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(h31,plain,
p3(c15,f4(c12)) = true,
inference(hyper_resolution,[status(thm)],[hi15,hi8,h11]) ).
cnf(f10,negated_conjecture,
( ~ p6(X24,X25)
| p7(f8(X24),f8(X25)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_11) ).
fof(f10_nnf,plain,
! [X24,X25] :
( ~ p6(X24,X25)
| p7(f8(X24),f8(X25)) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [X24,X25] :
( ~ p6(X24,X25)
| p7(f8(X24),f8(X25)) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
( ~ p6(X0,X1)
| p7(f8(X0),f8(X1)) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(hi9,negated_conjecture,
ifeq(p6(X0,X1),true,p7(f8(X0),f8(X1)),true) = true,
inference(equality_encoding,[status(esa)],[c10]) ).
cnf(f2,negated_conjecture,
p6(X18,X18),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_3) ).
fof(f2_nnf,plain,
! [X18] : p6(X18,X18),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X18] : p6(X18,X18),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
p6(X0,X0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(hi2,negated_conjecture,
p6(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(h0,plain,
p7(f8(V0),f8(V0)) = true,
inference(hyper_resolution,[status(thm)],[hi9,hi2]) ).
cnf(f18,negated_conjecture,
( ~ p3(X28,X26)
| ~ p9(X28,X29)
| ~ p7(X29,X27)
| p9(X26,X27) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_19) ).
fof(f18_nnf,plain,
! [X26,X27,X29,X28] :
( ~ p3(X28,X26)
| ~ p9(X28,X29)
| ~ p7(X29,X27)
| p9(X26,X27) ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
! [X26,X27,X29,X28] :
( ~ p3(X28,X26)
| ~ p9(X28,X29)
| ~ p7(X29,X27)
| p9(X26,X27) ),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c18,plain,
( ~ p3(X3,X0)
| ~ p9(X3,X2)
| ~ p7(X2,X1)
| p9(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(hi17,negated_conjecture,
ifeq(p7(X0,X1),true,ifeq(p9(X2,X0),true,ifeq(p3(X2,X3),true,p9(X3,X1),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c18]) ).
cnf(f6,negated_conjecture,
p9(c15,f8(c13)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_7) ).
fof(f6_nnf,plain,
p9(c15,f8(c13)),
inference(nnf_transformation,[status(thm)],[f6]) ).
cnf(c6,plain,
p9(c15,f8(c13)),
inference(cnf_transformation,[status(esa)],[f6_nnf]) ).
cnf(hi6,negated_conjecture,
p9(c15,f8(c13)) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(t23,plain,
p9(f4(c12),f8(c13)) = true,
inference(hyper_resolution,[status(thm)],[hi17,h0,hi6,h31]) ).
cnf(t209,plain,
p9(f4(c12),f8(c13)) = true,
inference(orient,[status(thm)],[t23]) ).
cnf(f9,negated_conjecture,
~ p9(f4(c12),f8(c13)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p9_10) ).
fof(f9_nnf,plain,
~ p9(f4(c12),f8(c13)),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
~ p9(f4(c12),f8(c13)),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
~ p9(f4(c12),f8(c13)),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(goal_0,negated_conjecture,
p9(f4(c12),f8(c13)) != true,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t209]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN570-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n002.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 01:47:05 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.77/1.19 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.77/1.19 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------