TSTP Solution File: SYN716-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN716-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n025.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 12:23:52 EDT 2022
% Result : Unsatisfiable 68.57s 68.78s
% Output : Refutation 68.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of clauses : 25 ( 11 unt; 0 nHn; 25 RR)
% Number of literals : 47 ( 0 equ; 23 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('SYN716-1.p',unknown),
[] ).
cnf(20,axiom,
p32(u,u),
file('SYN716-1.p',unknown),
[] ).
cnf(22,axiom,
p3(u,u),
file('SYN716-1.p',unknown),
[] ).
cnf(28,axiom,
p2(u,u),
file('SYN716-1.p',unknown),
[] ).
cnf(34,axiom,
~ p62(c67,c72),
file('SYN716-1.p',unknown),
[] ).
cnf(50,axiom,
( ~ p4(u,v)
| ~ p4(u,w)
| p4(w,v) ),
file('SYN716-1.p',unknown),
[] ).
cnf(56,axiom,
( ~ p3(u,v)
| ~ p3(u,w)
| p3(w,v) ),
file('SYN716-1.p',unknown),
[] ).
cnf(68,axiom,
( ~ p32(u,v)
| ~ p62(w,u)
| ~ p4(w,x)
| p62(x,v) ),
file('SYN716-1.p',unknown),
[] ).
cnf(86,axiom,
( ~ p3(u,v)
| ~ p2(w,x)
| p4(f5(w,u),f5(x,v)) ),
file('SYN716-1.p',unknown),
[] ).
cnf(97,axiom,
( ~ p62(f5(c64,f16(f19(f21(c66,u),v),w)),x)
| p62(u,x) ),
file('SYN716-1.p',unknown),
[] ).
cnf(99,axiom,
( ~ p62(f23(f25(f27(f29(f31(c74,u),v),w),x),y),z)
| p62(u,z) ),
file('SYN716-1.p',unknown),
[] ).
cnf(100,axiom,
p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72),
file('SYN716-1.p',unknown),
[] ).
cnf(106,axiom,
p3(f8(f11(f13(c65,f16(f19(f21(c66,u),v),w)),x),y),f16(f19(f21(c66,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('SYN716-1.p',unknown),
[] ).
cnf(161,plain,
( ~ p3(u,v)
| p3(v,u) ),
inference(res,[status(thm),theory(equality)],[22,56]),
[iquote('0:Res:22.0,56.0')] ).
cnf(167,plain,
( ~ p4(u,v)
| p4(v,u) ),
inference(res,[status(thm),theory(equality)],[16,50]),
[iquote('0:Res:16.0,50.0')] ).
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)],[20,68]),
[iquote('0:Res:20.0,68.0')] ).
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(291,plain,
p3(f16(f19(f21(c66,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)),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(1097,plain,
( ~ p2(u,c64)
| p62(f5(u,f16(f19(f21(c66,f23(f25(f27(f29(f31(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)],[291,458]),
[iquote('0:Res:291.0,458.0')] ).
cnf(24511,plain,
( ~ p2(c64,c64)
| p62(f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71),c72) ),
inference(res,[status(thm),theory(equality)],[1097,97]),
[iquote('0:Res:1097.1,97.0')] ).
cnf(24512,plain,
p62(f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71),c72),
inference(mrr,[status(thm)],[24511,28]),
[iquote('0:MRR:24511.0,28.0')] ).
cnf(24539,plain,
p62(c67,c72),
inference(res,[status(thm),theory(equality)],[24512,99]),
[iquote('0:Res:24512.0,99.0')] ).
cnf(24544,plain,
$false,
inference(mrr,[status(thm)],[24539,34]),
[iquote('0:MRR:24539.0,34.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN716-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.11/0.33 % Computer : n025.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jul 11 20:10:32 EDT 2022
% 0.11/0.33 % CPUTime :
% 68.57/68.78
% 68.57/68.78 SPASS V 3.9
% 68.57/68.78 SPASS beiseite: Proof found.
% 68.57/68.78 % SZS status Theorem
% 68.57/68.78 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 68.57/68.78 SPASS derived 24360 clauses, backtracked 0 clauses, performed 0 splits and kept 18643 clauses.
% 68.57/68.78 SPASS allocated 102226 KBytes.
% 68.57/68.78 SPASS spent 0:01:07.74 on the problem.
% 68.57/68.78 0:00:00.04 for the input.
% 68.57/68.78 0:00:00.00 for the FLOTTER CNF translation.
% 68.57/68.78 0:00:00.66 for inferences.
% 68.57/68.78 0:00:00.00 for the backtracking.
% 68.57/68.78 0:01:06.32 for the reduction.
% 68.57/68.78
% 68.57/68.78
% 68.57/68.78 Here is a proof with depth 6, length 25 :
% 68.57/68.78 % SZS output start Refutation
% See solution above
% 68.57/68.78 Formulae used in the proof : p4_16 p32_20 p3_22 p2_28 not_p62_34 p4_50 p3_56 p62_68 p4_86 p62_97 p62_99 p62_100 p3_106
% 68.57/68.78
%------------------------------------------------------------------------------