%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN715-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 12:23:51 EDT 2022
% Result : Unsatisfiable 82.04s 82.26s
% Output : Refutation 82.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of clauses : 26 ( 11 unt; 0 nHn; 26 RR)
% Number of literals : 49 ( 0 equ; 25 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 46 ( 46 usr; 19 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(16,axiom,
p4(u,u),
file('SYN715-1.p',unknown),
[] ).
cnf(21,axiom,
p3(u,u),
file('SYN715-1.p',unknown),
[] ).
cnf(23,axiom,
p27(u,u),
file('SYN715-1.p',unknown),
[] ).
cnf(28,axiom,
p2(u,u),
file('SYN715-1.p',unknown),
[] ).
cnf(49,axiom,
( ~ p4(u,v)
| ~ p4(u,w)
| p4(w,v) ),
file('SYN715-1.p',unknown),
[] ).
cnf(54,axiom,
( ~ p3(u,v)
| ~ p3(u,w)
| p3(w,v) ),
file('SYN715-1.p',unknown),
[] ).
cnf(67,axiom,
( ~ p27(u,v)
| ~ p62(w,u)
| ~ p4(w,x)
| p62(x,v) ),
file('SYN715-1.p',unknown),
[] ).
cnf(69,axiom,
p63(f24(f26(f30(c73,f31(c68,c72)),f28(c69,c72)),c70),c71),
file('SYN715-1.p',unknown),
[] ).
cnf(86,axiom,
( ~ p3(u,v)
| ~ p2(w,x)
| p4(f5(w,u),f5(x,v)) ),
file('SYN715-1.p',unknown),
[] ).
cnf(97,axiom,
( ~ p62(f5(c64,f16(f19(f21(c66,u),v),w)),x)
| p62(u,x) ),
file('SYN715-1.p',unknown),
[] ).
cnf(100,axiom,
p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72),
file('SYN715-1.p',unknown),
[] ).
cnf(102,axiom,
( ~ p63(f24(f26(f30(c73,u),v),w),x)
| p63(f24(f26(f30(c73,w),x),u),v) ),
file('SYN715-1.p',unknown),
[] ).
cnf(103,axiom,
( ~ p63(f24(f26(f30(c73,u),v),f31(w,x)),f28(y,x))
| ~ p62(f33(f35(f37(f39(f41(c74,z),w),y),u),v),x) ),
file('SYN715-1.p',unknown),
[] ).
cnf(106,axiom,
p3(f8(f11(f13(c65,f16(f19(f21(c66,u),v),w)),x),y),f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,u),v),w),x),y)),f43(f45(f47(f49(f51(c75,u),v),w),x),y)),f53(f55(f57(f59(f61(c76,u),v),w),x),y))),
file('SYN715-1.p',unknown),
[] ).
cnf(161,plain,
( ~ p3(u,v)
| p3(v,u) ),
inference(res,[status(thm),theory(equality)],[21,54]),
[iquote('0:Res:21.0,54.0')] ).
cnf(167,plain,
( ~ p4(u,v)
| p4(v,u) ),
inference(res,[status(thm),theory(equality)],[16,49]),
[iquote('0:Res:16.0,49.0')] ).
cnf(220,plain,
( ~ p3(u,v)
| ~ p2(w,x)
| p4(f5(x,v),f5(w,u)) ),
inference(res,[status(thm),theory(equality)],[86,167]),
[iquote('0:Res:86.2,167.0')] ).
cnf(232,plain,
( ~ p62(u,v)
| ~ p4(u,w)
| p62(w,v) ),
inference(res,[status(thm),theory(equality)],[23,67]),
[iquote('0:Res:23.0,67.0')] ).
cnf(236,plain,
( ~ p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),u)
| p62(u,c72) ),
inference(res,[status(thm),theory(equality)],[100,232]),
[iquote('0:Res:100.0,232.0')] ).
cnf(253,plain,
p63(f24(f26(f30(c73,c70),c71),f31(c68,c72)),f28(c69,c72)),
inference(res,[status(thm),theory(equality)],[69,102]),
[iquote('0:Res:69.0,102.0')] ).
cnf(261,plain,
~ p62(f33(f35(f37(f39(f41(c74,u),c68),c69),c70),c71),c72),
inference(res,[status(thm),theory(equality)],[253,103]),
[iquote('0:Res:253.0,103.0')] ).
cnf(290,plain,
p3(f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,u),v),w),x),y)),f43(f45(f47(f49(f51(c75,u),v),w),x),y)),f53(f55(f57(f59(f61(c76,u),v),w),x),y)),f8(f11(f13(c65,f16(f19(f21(c66,u),v),w)),x),y)),
inference(res,[status(thm),theory(equality)],[106,161]),
[iquote('0:Res:106.0,161.0')] ).
cnf(458,plain,
( ~ p3(u,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71))
| ~ p2(v,c64)
| p62(f5(v,u),c72) ),
inference(res,[status(thm),theory(equality)],[220,236]),
[iquote('0:Res:220.2,236.0')] ).
cnf(1172,plain,
( ~ p2(u,c64)
| p62(f5(u,f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,c67),c68),c69),c70),c71)),f43(f45(f47(f49(f51(c75,c67),c68),c69),c70),c71)),f53(f55(f57(f59(f61(c76,c67),c68),c69),c70),c71))),c72) ),
inference(res,[status(thm),theory(equality)],[290,458]),
[iquote('0:Res:290.0,458.0')] ).
cnf(26516,plain,
( ~ p2(c64,c64)
| p62(f33(f35(f37(f39(f41(c74,c67),c68),c69),c70),c71),c72) ),
inference(res,[status(thm),theory(equality)],[1172,97]),
[iquote('0:Res:1172.1,97.0')] ).
cnf(26517,plain,
$false,
inference(mrr,[status(thm)],[26516,28,261]),
[iquote('0:MRR:26516.0,26516.1,28.0,261.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN715-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n020.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 20:07:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 82.04/82.26
% 82.04/82.26 SPASS V 3.9
% 82.04/82.26 SPASS beiseite: Proof found.
% 82.04/82.26 % SZS status Theorem
% 82.04/82.26 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 82.04/82.26 SPASS derived 26332 clauses, backtracked 0 clauses, performed 0 splits and kept 19633 clauses.
% 82.04/82.26 SPASS allocated 104452 KBytes.
% 82.04/82.26 SPASS spent 0:1:21.18 on the problem.
% 82.04/82.26 0:00:00.04 for the input.
% 82.04/82.26 0:00:00.00 for the FLOTTER CNF translation.
% 82.04/82.26 0:00:00.75 for inferences.
% 82.04/82.26 0:00:00.00 for the backtracking.
% 82.04/82.26 0:1:19.46 for the reduction.
% 82.04/82.26
% 82.04/82.26
% 82.04/82.26 Here is a proof with depth 5, length 26 :
% 82.04/82.26 % SZS output start Refutation
% See solution above
% 82.04/82.26 Formulae used in the proof : p4_16 p3_21 p27_23 p2_28 p4_49 p3_54 p62_67 p63_69 p4_86 p62_97 p62_100 p63_102 not_p63_103 p3_106
% 82.04/82.26
%------------------------------------------------------------------------------