TSTP Solution File: SYN652-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN652-1 : 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 12:23:27 EDT 2022
% Result : Unsatisfiable 8.02s 8.22s
% Output : Refutation 8.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of clauses : 26 ( 12 unt; 0 nHn; 26 RR)
% Number of literals : 50 ( 0 equ; 26 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 15 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
p4(u,u),
file('SYN652-1.p',unknown),
[] ).
cnf(14,axiom,
p14(u,u),
file('SYN652-1.p',unknown),
[] ).
cnf(16,axiom,
p4(c34,f5(c35,c32)),
file('SYN652-1.p',unknown),
[] ).
cnf(17,axiom,
p27(f8(f10(c28,f13(c29,c30)),c32),c33),
file('SYN652-1.p',unknown),
[] ).
cnf(18,axiom,
~ p4(f5(c31,c33),f15(f17(c36,c31),c34)),
file('SYN652-1.p',unknown),
[] ).
cnf(23,axiom,
( ~ p4(u,v)
| ~ p4(u,w)
| p4(w,v) ),
file('SYN652-1.p',unknown),
[] ).
cnf(34,axiom,
p4(f15(f17(c36,u),f5(c35,v)),f5(u,v)),
file('SYN652-1.p',unknown),
[] ).
cnf(41,axiom,
( ~ p4(u,v)
| ~ p14(w,x)
| p4(f15(w,u),f15(x,v)) ),
file('SYN652-1.p',unknown),
[] ).
cnf(46,axiom,
( ~ p27(f8(f10(c28,f13(c29,c30)),u),v)
| p4(f5(c31,u),f5(c31,v)) ),
file('SYN652-1.p',unknown),
[] ).
cnf(76,plain,
( ~ p4(u,v)
| p4(v,u) ),
inference(res,[status(thm),theory(equality)],[5,23]),
[iquote('0:Res:5.0,23.0')] ).
cnf(80,plain,
p4(f5(c35,c32),c34),
inference(res,[status(thm),theory(equality)],[16,76]),
[iquote('0:Res:16.0,76.0')] ).
cnf(81,plain,
p4(f5(u,v),f15(f17(c36,u),f5(c35,v))),
inference(res,[status(thm),theory(equality)],[34,76]),
[iquote('0:Res:34.0,76.0')] ).
cnf(163,plain,
( ~ p4(u,v)
| ~ p14(w,x)
| ~ p4(f15(w,u),y)
| p4(y,f15(x,v)) ),
inference(res,[status(thm),theory(equality)],[41,23]),
[iquote('0:Res:41.2,23.0')] ).
cnf(174,plain,
p4(f5(c31,c32),f5(c31,c33)),
inference(res,[status(thm),theory(equality)],[17,46]),
[iquote('0:Res:17.0,46.0')] ).
cnf(176,plain,
( ~ p4(f5(c31,c32),u)
| p4(u,f5(c31,c33)) ),
inference(res,[status(thm),theory(equality)],[174,23]),
[iquote('0:Res:174.0,23.0')] ).
cnf(182,plain,
p4(f15(f17(c36,c31),f5(c35,c32)),f5(c31,c33)),
inference(res,[status(thm),theory(equality)],[81,176]),
[iquote('0:Res:81.0,176.0')] ).
cnf(196,plain,
( ~ p4(f15(f17(c36,c31),f5(c35,c32)),u)
| p4(u,f5(c31,c33)) ),
inference(res,[status(thm),theory(equality)],[182,23]),
[iquote('0:Res:182.0,23.0')] ).
cnf(508,plain,
( ~ p4(u,v)
| ~ p14(w,x)
| ~ p4(u,y)
| ~ p14(w,z)
| p4(f15(x,v),f15(z,y)) ),
inference(res,[status(thm),theory(equality)],[41,163]),
[iquote('0:Res:41.2,163.2')] ).
cnf(2253,plain,
( ~ p14(u,v)
| ~ p4(f5(c35,c32),w)
| ~ p14(u,x)
| p4(f15(v,c34),f15(x,w)) ),
inference(res,[status(thm),theory(equality)],[80,508]),
[iquote('0:Res:80.0,508.0')] ).
cnf(5702,plain,
( ~ p14(u,v)
| ~ p14(u,w)
| p4(f15(v,c34),f15(w,f5(c35,c32))) ),
inference(res,[status(thm),theory(equality)],[5,2253]),
[iquote('0:Res:5.0,2253.1')] ).
cnf(15603,plain,
( ~ p14(u,v)
| p4(f15(u,c34),f15(v,f5(c35,c32))) ),
inference(res,[status(thm),theory(equality)],[14,5702]),
[iquote('0:Res:14.0,5702.0')] ).
cnf(15608,plain,
( ~ p14(u,v)
| p4(f15(v,f5(c35,c32)),f15(u,c34)) ),
inference(res,[status(thm),theory(equality)],[15603,76]),
[iquote('0:Res:15603.1,76.0')] ).
cnf(15631,plain,
( ~ p14(u,f17(c36,c31))
| p4(f15(u,c34),f5(c31,c33)) ),
inference(res,[status(thm),theory(equality)],[15608,196]),
[iquote('0:Res:15608.1,196.0')] ).
cnf(15643,plain,
( ~ p14(u,f17(c36,c31))
| p4(f5(c31,c33),f15(u,c34)) ),
inference(res,[status(thm),theory(equality)],[15631,76]),
[iquote('0:Res:15631.1,76.0')] ).
cnf(15663,plain,
~ p14(f17(c36,c31),f17(c36,c31)),
inference(res,[status(thm),theory(equality)],[15643,18]),
[iquote('0:Res:15643.1,18.0')] ).
cnf(15683,plain,
$false,
inference(mrr,[status(thm)],[15663,14]),
[iquote('0:MRR:15663.0,14.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN652-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jul 11 23:23:29 EDT 2022
% 0.14/0.34 % CPUTime :
% 8.02/8.22
% 8.02/8.22 SPASS V 3.9
% 8.02/8.22 SPASS beiseite: Proof found.
% 8.02/8.22 % SZS status Theorem
% 8.02/8.22 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.02/8.22 SPASS derived 14950 clauses, backtracked 0 clauses, performed 0 splits and kept 5951 clauses.
% 8.02/8.22 SPASS allocated 74049 KBytes.
% 8.02/8.22 SPASS spent 0:00:07.66 on the problem.
% 8.02/8.22 0:00:00.04 for the input.
% 8.02/8.22 0:00:00.00 for the FLOTTER CNF translation.
% 8.02/8.22 0:00:00.21 for inferences.
% 8.02/8.22 0:00:00.00 for the backtracking.
% 8.02/8.22 0:00:07.34 for the reduction.
% 8.02/8.22
% 8.02/8.22
% 8.02/8.22 Here is a proof with depth 9, length 26 :
% 8.02/8.22 % SZS output start Refutation
% See solution above
% 8.02/8.22 Formulae used in the proof : p4_5 p14_14 p4_16 p27_17 not_p4_18 p4_23 p4_34 p4_41 p4_46
% 8.02/8.22
%------------------------------------------------------------------------------