%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYO614-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n020.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 03:48:32 PM UTC 2026
% Result : Unsatisfiable 0.13s 5.94s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 37 ( 9 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 81 ( 41 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 71 ( 14 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f5,axiom,
( ~ le(s(A0),A1)
| ~ eq(f(A1),a1)
| ~ eq(f(A0),a1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06) ).
fof(f5_nnf,plain,
! [A0,A1] :
( ~ le(s(A0),A1)
| ~ eq(f(A1),a1)
| ~ eq(f(A0),a1) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [A0,A1] :
( ~ le(s(A0),A1)
| ~ eq(f(A1),a1)
| ~ eq(f(A0),a1) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( ~ le(s(X0),X1)
| ~ eq(f(X1),a1)
| ~ eq(f(X0),a1) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(f3,axiom,
( eq(f(A),a1)
| eq(f(A),a0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).
fof(f3_nnf,plain,
! [A] :
( eq(f(A),a1)
| eq(f(A),a0) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [A] :
( eq(f(A),a1)
| eq(f(A),a0) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( eq(f(X0),a1)
| eq(f(X0),a0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p38,plain,
( eq(f(X1),a0)
| ~ le(s(X1),X0)
| ~ eq(f(X0),a1) ),
inference(resolution,[status(thm)],[c5,c3]) ).
cnf(p72,plain,
( eq(f(X1),a0)
| eq(f(X0),a0)
| ~ le(s(X0),X1) ),
inference(resolution,[status(thm)],[p38,c3]) ).
cnf(f0,axiom,
le(A,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
fof(f0_nnf,plain,
! [A] : le(A,A),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [A] : le(A,A),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
le(X0,X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p137,plain,
( eq(f(s(X0)),a0)
| eq(f(X0),a0) ),
inference(resolution,[status(thm)],[p72,c0]) ).
cnf(f4,axiom,
( ~ le(s(A0),A1)
| ~ eq(f(A1),a0)
| ~ eq(f(A0),a0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).
fof(f4_nnf,plain,
! [A0,A1] :
( ~ le(s(A0),A1)
| ~ eq(f(A1),a0)
| ~ eq(f(A0),a0) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [A0,A1] :
( ~ le(s(A0),A1)
| ~ eq(f(A1),a0)
| ~ eq(f(A0),a0) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( ~ le(s(X0),X1)
| ~ eq(f(X1),a0)
| ~ eq(f(X0),a0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p200,plain,
( ~ le(s(s(X0)),X1)
| ~ eq(f(X1),a0)
| eq(f(X0),a0) ),
inference(resolution,[status(thm)],[p137,c4]) ).
cnf(f1,axiom,
( le(A,C)
| ~ le(max(A,B),C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(f1_nnf,plain,
! [A,B,C] :
( le(A,C)
| ~ le(max(A,B),C) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [A,B,C] :
( le(A,C)
| ~ le(max(A,B),C) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( le(X0,X2)
| ~ le(max(X0,X1),X2) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p6,plain,
le(X0,max(X0,X1)),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(p138,plain,
( eq(f(max(s(X0),X1)),a0)
| eq(f(X0),a0) ),
inference(resolution,[status(thm)],[p72,p6]) ).
cnf(p407,plain,
( eq(f(X1),a0)
| ~ le(s(s(X0)),max(s(X1),X2))
| eq(f(X0),a0) ),
inference(resolution,[status(thm)],[p200,p138]) ).
cnf(f2,axiom,
( le(B,C)
| ~ le(max(A,B),C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
fof(f2_nnf,plain,
! [A,B,C] :
( le(B,C)
| ~ le(max(A,B),C) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [A,B,C] :
( le(B,C)
| ~ le(max(A,B),C) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( le(X1,X2)
| ~ le(max(X0,X1),X2) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p9,plain,
le(X0,max(X1,X0)),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(p1017,plain,
( eq(f(X1),a0)
| eq(f(X0),a0) ),
inference(resolution,[status(thm)],[p407,p9]) ).
cnf(p1018,plain,
eq(f(X0),a0),
inference(factoring,[status(thm)],[p1017]) ).
cnf(p1019,plain,
( ~ le(s(X1),X0)
| ~ eq(f(X0),a0) ),
inference(resolution,[status(thm)],[p1018,c4]) ).
cnf(p1020,plain,
~ le(s(X0),X1),
inference(resolution,[status(thm)],[p1019,p1018]) ).
cnf(p1023,plain,
$false,
inference(resolution,[status(thm)],[p1020,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO614-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/5.37 % Computer : n020.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Fri Sep 25 03:15:39 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.13/5.94 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/5.94 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------