%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN602-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 12:23:09 EDT 2022
% Result : Unsatisfiable 86.15s 86.36s
% Output : Refutation 86.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 8 unt; 0 nHn; 15 RR)
% Number of literals : 30 ( 0 equ; 18 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 11 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
p2(u,u),
file('SYN602-1.p',unknown),
[] ).
cnf(3,axiom,
p15(c22,c21),
file('SYN602-1.p',unknown),
[] ).
cnf(4,axiom,
p2(f3(c18),c19),
file('SYN602-1.p',unknown),
[] ).
cnf(5,axiom,
p2(c22,f9(c20,c23)),
file('SYN602-1.p',unknown),
[] ).
cnf(14,axiom,
( ~ p2(u,v)
| ~ p2(u,w)
| p2(w,v) ),
file('SYN602-1.p',unknown),
[] ).
cnf(16,axiom,
p2(f7(f8(c21,c22),c20),f6(f5(c18),f3(c18))),
file('SYN602-1.p',unknown),
[] ).
cnf(21,axiom,
( ~ p2(u,v)
| ~ p2(w,x)
| p2(f6(w,u),f6(x,v)) ),
file('SYN602-1.p',unknown),
[] ).
cnf(26,axiom,
( ~ p15(u,c21)
| ~ p2(u,f9(c20,v))
| ~ p2(f7(f8(c21,u),c20),f6(f5(c18),c19)) ),
file('SYN602-1.p',unknown),
[] ).
cnf(43,plain,
( ~ p2(u,v)
| p2(v,u) ),
inference(res,[status(thm),theory(equality)],[2,14]),
[iquote('0:Res:2.0,14.0')] ).
cnf(62,plain,
p2(f6(f5(c18),f3(c18)),f7(f8(c21,c22),c20)),
inference(res,[status(thm),theory(equality)],[16,43]),
[iquote('0:Res:16.0,43.0')] ).
cnf(115,plain,
( ~ p2(u,v)
| ~ p2(w,x)
| ~ p2(f6(w,u),y)
| p2(y,f6(x,v)) ),
inference(res,[status(thm),theory(equality)],[21,14]),
[iquote('0:Res:21.2,14.0')] ).
cnf(914,plain,
( ~ p2(f3(c18),u)
| ~ p2(f5(c18),v)
| p2(f7(f8(c21,c22),c20),f6(v,u)) ),
inference(res,[status(thm),theory(equality)],[62,115]),
[iquote('0:Res:62.0,115.2')] ).
cnf(26653,plain,
( ~ p2(f3(c18),c19)
| ~ p2(f5(c18),f5(c18))
| ~ p15(c22,c21)
| ~ p2(c22,f9(c20,u)) ),
inference(res,[status(thm),theory(equality)],[914,26]),
[iquote('0:Res:914.2,26.2')] ).
cnf(26660,plain,
~ p2(c22,f9(c20,u)),
inference(mrr,[status(thm)],[26653,4,2,3]),
[iquote('0:MRR:26653.0,26653.1,26653.2,4.0,2.0,3.0')] ).
cnf(26661,plain,
$false,
inference(unc,[status(thm)],[26660,5]),
[iquote('0:UnC:26660.0,5.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN602-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 23:16:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 86.15/86.36
% 86.15/86.36 SPASS V 3.9
% 86.15/86.36 SPASS beiseite: Proof found.
% 86.15/86.36 % SZS status Theorem
% 86.15/86.36 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 86.15/86.36 SPASS derived 26440 clauses, backtracked 0 clauses, performed 0 splits and kept 19965 clauses.
% 86.15/86.36 SPASS allocated 93357 KBytes.
% 86.15/86.36 SPASS spent 0:1:25.74 on the problem.
% 86.15/86.36 0:00:00.03 for the input.
% 86.15/86.36 0:00:00.00 for the FLOTTER CNF translation.
% 86.15/86.36 0:00:00.26 for inferences.
% 86.15/86.36 0:00:00.00 for the backtracking.
% 86.15/86.36 0:1:25.20 for the reduction.
% 86.15/86.36
% 86.15/86.36
% 86.15/86.36 Here is a proof with depth 4, length 15 :
% 86.15/86.36 % SZS output start Refutation
% See solution above
% 86.15/86.36 Formulae used in the proof : p2_2 p15_3 p2_4 p2_5 p2_14 p2_16 p2_21 not_p15_26
% 86.15/86.36
%------------------------------------------------------------------------------