%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN622-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 12:23:16 EDT 2022
% Result : Unsatisfiable 4.33s 4.53s
% Output : Refutation 4.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 7 unt; 0 nHn; 13 RR)
% Number of literals : 24 ( 0 equ; 13 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
p11(u,u),
file('SYN622-1.p',unknown),
[] ).
cnf(3,axiom,
p8(u,u),
file('SYN622-1.p',unknown),
[] ).
cnf(8,axiom,
p8(f16(u,f17(v,u)),v),
file('SYN622-1.p',unknown),
[] ).
cnf(21,axiom,
( ~ p8(u,v)
| ~ p8(u,w)
| p8(w,v) ),
file('SYN622-1.p',unknown),
[] ).
cnf(24,axiom,
p8(f12(f13(c23),u),f12(f13(c26),f16(c27,u))),
file('SYN622-1.p',unknown),
[] ).
cnf(26,axiom,
~ p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),c28)),
file('SYN622-1.p',unknown),
[] ).
cnf(31,axiom,
( ~ p8(u,v)
| ~ p11(w,x)
| p8(f12(w,u),f12(x,v)) ),
file('SYN622-1.p',unknown),
[] ).
cnf(76,plain,
( ~ p8(u,v)
| p8(v,u) ),
inference(res,[status(thm),theory(equality)],[3,21]),
[iquote('0:Res:3.0,21.0')] ).
cnf(83,plain,
p8(f12(f13(c26),f16(c27,u)),f12(f13(c23),u)),
inference(res,[status(thm),theory(equality)],[24,76]),
[iquote('0:Res:24.0,76.0')] ).
cnf(113,plain,
( ~ p8(u,v)
| ~ p11(w,x)
| ~ p8(f12(w,u),y)
| p8(y,f12(x,v)) ),
inference(res,[status(thm),theory(equality)],[31,21]),
[iquote('0:Res:31.2,21.0')] ).
cnf(365,plain,
( ~ p8(f16(c27,u),v)
| ~ p11(f13(c26),w)
| p8(f12(f13(c23),u),f12(w,v)) ),
inference(res,[status(thm),theory(equality)],[83,113]),
[iquote('0:Res:83.0,113.2')] ).
cnf(8457,plain,
( ~ p8(f16(c27,f17(c28,c27)),c28)
| ~ p11(f13(c26),f13(c26)) ),
inference(res,[status(thm),theory(equality)],[365,26]),
[iquote('0:Res:365.2,26.0')] ).
cnf(8462,plain,
$false,
inference(mrr,[status(thm)],[8457,8,1]),
[iquote('0:MRR:8457.0,8457.1,8.0,1.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN622-1 : TPTP v8.1.0. Released v2.5.0.
% 0.00/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 11 13:06:13 EDT 2022
% 0.13/0.33 % CPUTime :
% 4.33/4.53
% 4.33/4.53 SPASS V 3.9
% 4.33/4.53 SPASS beiseite: Proof found.
% 4.33/4.53 % SZS status Theorem
% 4.33/4.53 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.33/4.53 SPASS derived 8381 clauses, backtracked 0 clauses, performed 1 splits and kept 5815 clauses.
% 4.33/4.53 SPASS allocated 81489 KBytes.
% 4.33/4.53 SPASS spent 0:00:04.16 on the problem.
% 4.33/4.53 0:00:00.03 for the input.
% 4.33/4.53 0:00:00.00 for the FLOTTER CNF translation.
% 4.33/4.53 0:00:00.08 for inferences.
% 4.33/4.53 0:00:00.00 for the backtracking.
% 4.33/4.53 0:00:03.97 for the reduction.
% 4.33/4.53
% 4.33/4.53
% 4.33/4.53 Here is a proof with depth 4, length 13 :
% 4.33/4.53 % SZS output start Refutation
% See solution above
% 4.33/4.53 Formulae used in the proof : p11_1 p8_3 p8_8 p8_21 p8_24 not_p8_26 p8_31
% 4.33/4.53
%------------------------------------------------------------------------------