TSTP Solution File: SYN712-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN712-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 12:23:50 EDT 2022
% Result : Unsatisfiable 78.69s 78.91s
% Output : Refutation 78.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of clauses : 27 ( 12 unt; 0 nHn; 27 RR)
% Number of literals : 50 ( 0 equ; 25 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 40 ( 40 usr; 18 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(16,axiom,
p4(u,u),
file('SYN712-1.p',unknown),
[] ).
cnf(20,axiom,
p32(u,u),
file('SYN712-1.p',unknown),
[] ).
cnf(22,axiom,
p3(u,u),
file('SYN712-1.p',unknown),
[] ).
cnf(28,axiom,
p2(u,u),
file('SYN712-1.p',unknown),
[] ).
cnf(49,axiom,
( ~ p4(u,v)
| ~ p4(u,w)
| p4(w,v) ),
file('SYN712-1.p',unknown),
[] ).
cnf(55,axiom,
( ~ p3(u,v)
| ~ p3(u,w)
| p3(w,v) ),
file('SYN712-1.p',unknown),
[] ).
cnf(67,axiom,
~ p62(f5(c64,f8(f11(f13(c65,c66),c67),c68)),c69),
file('SYN712-1.p',unknown),
[] ).
cnf(69,axiom,
( ~ p32(u,v)
| ~ p62(w,u)
| ~ p4(w,x)
| p62(x,v) ),
file('SYN712-1.p',unknown),
[] ).
cnf(82,axiom,
( ~ p3(u,v)
| ~ p2(w,x)
| p4(f5(w,u),f5(x,v)) ),
file('SYN712-1.p',unknown),
[] ).
cnf(97,axiom,
( ~ p62(f5(c64,f8(f11(f13(c65,u),v),w)),x)
| p62(u,x) ),
file('SYN712-1.p',unknown),
[] ).
cnf(98,axiom,
( ~ p62(u,v)
| p62(f5(c64,f8(f11(f13(c65,u),w),x)),v) ),
file('SYN712-1.p',unknown),
[] ).
cnf(99,axiom,
( ~ p62(f23(f25(f27(f29(f31(c74,u),v),w),x),y),z)
| p62(u,z) ),
file('SYN712-1.p',unknown),
[] ).
cnf(100,axiom,
p62(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),c69),
file('SYN712-1.p',unknown),
[] ).
cnf(104,axiom,
p3(f16(f19(f21(c70,f8(f11(f13(c65,u),v),w)),x),y),f8(f11(f13(c65,f23(f25(f27(f29(f31(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('SYN712-1.p',unknown),
[] ).
cnf(159,plain,
( ~ p3(u,v)
| p3(v,u) ),
inference(res,[status(thm),theory(equality)],[22,55]),
[iquote('0:Res:22.0,55.0')] ).
cnf(165,plain,
( ~ p4(u,v)
| p4(v,u) ),
inference(res,[status(thm),theory(equality)],[16,49]),
[iquote('0:Res:16.0,49.0')] ).
cnf(171,plain,
~ p62(c66,c69),
inference(res,[status(thm),theory(equality)],[98,67]),
[iquote('0:Res:98.1,67.0')] ).
cnf(219,plain,
( ~ p3(u,v)
| ~ p2(w,x)
| p4(f5(x,v),f5(w,u)) ),
inference(res,[status(thm),theory(equality)],[82,165]),
[iquote('0:Res:82.2,165.0')] ).
cnf(229,plain,
( ~ p62(u,v)
| ~ p4(u,w)
| p62(w,v) ),
inference(res,[status(thm),theory(equality)],[20,69]),
[iquote('0:Res:20.0,69.0')] ).
cnf(231,plain,
( ~ p4(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),u)
| p62(u,c69) ),
inference(res,[status(thm),theory(equality)],[100,229]),
[iquote('0:Res:100.0,229.0')] ).
cnf(277,plain,
p3(f8(f11(f13(c65,f23(f25(f27(f29(f31(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)),f16(f19(f21(c70,f8(f11(f13(c65,u),v),w)),x),y)),
inference(res,[status(thm),theory(equality)],[104,159]),
[iquote('0:Res:104.0,159.0')] ).
cnf(472,plain,
( ~ p3(u,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72))
| ~ p2(v,c64)
| p62(f5(v,u),c69) ),
inference(res,[status(thm),theory(equality)],[219,231]),
[iquote('0:Res:219.2,231.0')] ).
cnf(1084,plain,
( ~ p2(u,c64)
| p62(f5(u,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72)),f43(f45(f47(f49(f51(c75,c66),c67),c68),c71),c72)),f53(f55(f57(f59(f61(c76,c66),c67),c68),c71),c72))),c69) ),
inference(res,[status(thm),theory(equality)],[277,472]),
[iquote('0:Res:277.0,472.0')] ).
cnf(24803,plain,
( ~ p2(c64,c64)
| p62(f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72),c69) ),
inference(res,[status(thm),theory(equality)],[1084,97]),
[iquote('0:Res:1084.1,97.0')] ).
cnf(24804,plain,
p62(f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72),c69),
inference(mrr,[status(thm)],[24803,28]),
[iquote('0:MRR:24803.0,28.0')] ).
cnf(24824,plain,
p62(c66,c69),
inference(res,[status(thm),theory(equality)],[24804,99]),
[iquote('0:Res:24804.0,99.0')] ).
cnf(24831,plain,
$false,
inference(mrr,[status(thm)],[24824,171]),
[iquote('0:MRR:24824.0,171.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN712-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n019.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 : Tue Jul 12 05:36:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 78.69/78.91
% 78.69/78.91 SPASS V 3.9
% 78.69/78.91 SPASS beiseite: Proof found.
% 78.69/78.91 % SZS status Theorem
% 78.69/78.91 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 78.69/78.91 SPASS derived 24650 clauses, backtracked 0 clauses, performed 0 splits and kept 18598 clauses.
% 78.69/78.91 SPASS allocated 102991 KBytes.
% 78.69/78.91 SPASS spent 0:1:17.72 on the problem.
% 78.69/78.91 0:00:00.03 for the input.
% 78.69/78.91 0:00:00.00 for the FLOTTER CNF translation.
% 78.69/78.91 0:00:00.71 for inferences.
% 78.69/78.91 0:00:00.00 for the backtracking.
% 78.69/78.91 0:1:16.08 for the reduction.
% 78.69/78.91
% 78.69/78.91
% 78.69/78.91 Here is a proof with depth 6, length 27 :
% 78.69/78.91 % SZS output start Refutation
% See solution above
% 78.69/78.91 Formulae used in the proof : p4_16 p32_20 p3_22 p2_28 p4_49 p3_55 not_p62_67 p62_69 p4_82 p62_97 p62_98 p62_99 p62_100 p3_104
% 78.69/78.91
%------------------------------------------------------------------------------