%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN580-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n013.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 03:35:14 PM UTC 2026
% Result : Unsatisfiable 24.49s 3.58s
% Output : Proof 24.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 59 ( 31 unt; 0 def)
% Number of atoms : 118 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 116 ( 57 ~; 59 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 85 ( 0 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f22,negated_conjecture,
( ~ p8(X27,X26,X25)
| ~ p7(X27,X22)
| ~ p4(X26,X23)
| ~ p2(X25,X24)
| p8(X22,X23,X24) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_23) ).
fof(f22_nnf,plain,
! [X22,X23,X24,X25,X26,X27] :
( ~ p8(X27,X26,X25)
| ~ p7(X27,X22)
| ~ p4(X26,X23)
| ~ p2(X25,X24)
| p8(X22,X23,X24) ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
! [X22,X23,X24,X25,X26,X27] :
( ~ p8(X27,X26,X25)
| ~ p7(X27,X22)
| ~ p4(X26,X23)
| ~ p2(X25,X24)
| p8(X22,X23,X24) ),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c22,plain,
( ~ p8(X5,X4,X3)
| ~ p7(X5,X0)
| ~ p4(X4,X1)
| ~ p2(X3,X2)
| p8(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(f14,negated_conjecture,
( ~ p2(X7,X9)
| ~ p2(X7,X8)
| p2(X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_15) ).
fof(f14_nnf,plain,
! [X8,X9,X7] :
( ~ p2(X7,X9)
| ~ p2(X7,X8)
| p2(X8,X9) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [X8,X9,X7] :
( ~ p2(X7,X9)
| ~ p2(X7,X8)
| p2(X8,X9) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(f6,negated_conjecture,
p2(c14,f3(c15)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).
fof(f6_nnf,plain,
p2(c14,f3(c15)),
inference(nnf_transformation,[status(thm)],[f6]) ).
cnf(c6,plain,
p2(c14,f3(c15)),
inference(cnf_transformation,[status(esa)],[f6_nnf]) ).
cnf(p42,plain,
( ~ p2(c14,X0)
| p2(f3(c15),X0) ),
inference(resolution,[status(thm)],[c14,c6]) ).
cnf(f3,negated_conjecture,
p2(X7,X7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
fof(f3_nnf,plain,
! [X7] : p2(X7,X7),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X7] : p2(X7,X7),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
p2(X0,X0),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p47,plain,
p2(f3(c15),c14),
inference(resolution,[status(thm)],[p42,c3]) ).
cnf(p97,plain,
( ~ p8(X3,X2,f3(c15))
| ~ p7(X3,X0)
| ~ p4(X2,X1)
| p8(X0,X1,c14) ),
inference(resolution,[status(thm)],[c22,p47]) ).
cnf(f2,negated_conjecture,
p4(X12,X12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_3) ).
fof(f2_nnf,plain,
! [X12] : p4(X12,X12),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X12] : p4(X12,X12),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
p4(X0,X0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p288,plain,
( ~ p8(X2,X1,f3(c15))
| ~ p7(X2,X0)
| p8(X0,X1,c14) ),
inference(resolution,[status(thm)],[p97,c2]) ).
cnf(f1,negated_conjecture,
p7(X19,X19),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).
fof(f1_nnf,plain,
! [X19] : p7(X19,X19),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X19] : p7(X19,X19),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
p7(X0,X0),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p335,plain,
( ~ p8(X0,X1,f3(c15))
| p8(X0,X1,c14) ),
inference(resolution,[status(thm)],[p288,c1]) ).
cnf(f17,negated_conjecture,
( ~ p9(c12,X30)
| p8(c12,X30,f3(X31))
| p9(c12,f6(X31)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_18) ).
fof(f17_nnf,plain,
! [X31,X30] :
( ~ p9(c12,X30)
| p8(c12,X30,f3(X31))
| p9(c12,f6(X31)) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [X31,X30] :
( ~ p9(c12,X30)
| p8(c12,X30,f3(X31))
| p9(c12,f6(X31)) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c17,plain,
( ~ p9(c12,X1)
| p8(c12,X1,f3(X0))
| p9(c12,f6(X0)) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(f5,negated_conjecture,
p9(c12,c13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_6) ).
fof(f5_nnf,plain,
p9(c12,c13),
inference(nnf_transformation,[status(thm)],[f5]) ).
cnf(c5,plain,
p9(c12,c13),
inference(cnf_transformation,[status(esa)],[f5_nnf]) ).
cnf(p66,plain,
( p8(c12,c13,f3(X0))
| p9(c12,f6(X0)) ),
inference(resolution,[status(thm)],[c17,c5]) ).
cnf(p336,plain,
( p9(c12,f6(c15))
| p8(c12,c13,c14) ),
inference(resolution,[status(thm)],[p335,p66]) ).
cnf(f7,negated_conjecture,
~ p8(c12,c13,c14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p8_8) ).
fof(f7_nnf,plain,
~ p8(c12,c13,c14),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
~ p8(c12,c13,c14),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
~ p8(c12,c13,c14),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p345,plain,
p9(c12,f6(c15)),
inference(resolution,[status(thm)],[p336,c7]) ).
cnf(f15,negated_conjecture,
( ~ p9(c12,X28)
| ~ p11(X29,c16)
| p8(c12,X28,X29) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_16) ).
fof(f15_nnf,plain,
! [X28,X29] :
( ~ p9(c12,X28)
| ~ p11(X29,c16)
| p8(c12,X28,X29) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [X28,X29] :
( ~ p9(c12,X28)
| ~ p11(X29,c16)
| p8(c12,X28,X29) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c15,plain,
( ~ p9(c12,X0)
| ~ p11(X1,c16)
| p8(c12,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(f4,negated_conjecture,
p11(c15,c16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_5) ).
fof(f4_nnf,plain,
p11(c15,c16),
inference(nnf_transformation,[status(thm)],[f4]) ).
cnf(c4,plain,
p11(c15,c16),
inference(cnf_transformation,[status(esa)],[f4_nnf]) ).
cnf(p55,plain,
( ~ p9(c12,X0)
| p8(c12,X0,c15) ),
inference(resolution,[status(thm)],[c15,c4]) ).
cnf(p347,plain,
p8(c12,f6(c15),c15),
inference(resolution,[status(thm)],[p345,p55]) ).
cnf(f21,negated_conjecture,
( ~ p8(c12,f6(X31),X31)
| ~ p9(c12,X30)
| p8(c12,X30,f3(X31)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_22) ).
fof(f21_nnf,plain,
! [X30,X31] :
( ~ p8(c12,f6(X31),X31)
| ~ p9(c12,X30)
| p8(c12,X30,f3(X31)) ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
! [X30,X31] :
( ~ p8(c12,f6(X31),X31)
| ~ p9(c12,X30)
| p8(c12,X30,f3(X31)) ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
( ~ p8(c12,f6(X1),X1)
| ~ p9(c12,X0)
| p8(c12,X0,f3(X1)) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(p83,plain,
( ~ p8(c12,f6(X0),X0)
| p8(c12,c13,f3(X0)) ),
inference(resolution,[status(thm)],[c21,c5]) ).
cnf(p373,plain,
p8(c12,c13,f3(c15)),
inference(resolution,[status(thm)],[p347,p83]) ).
cnf(p378,plain,
p8(c12,c13,c14),
inference(resolution,[status(thm)],[p373,p335]) ).
cnf(p379,plain,
$false,
inference(resolution,[status(thm)],[p378,c7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN580-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 01:48:06 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 24.49/3.58 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.49/3.58 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------