TSTP Solution File: SYN597-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN597-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 12:23:06 EDT 2022
% Result : Unsatisfiable 32.79s 32.97s
% Output : Refutation 32.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of clauses : 26 ( 10 unt; 0 nHn; 26 RR)
% Number of literals : 65 ( 0 equ; 43 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 13 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
p10(u,u),
file('SYN597-1.p',unknown),
[] ).
cnf(2,axiom,
p9(u,u),
file('SYN597-1.p',unknown),
[] ).
cnf(3,axiom,
p3(u,u),
file('SYN597-1.p',unknown),
[] ).
cnf(4,axiom,
p2(u,u),
file('SYN597-1.p',unknown),
[] ).
cnf(7,axiom,
p3(c21,c22),
file('SYN597-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ p2(u,v)
| p3(f15(u),f15(v)) ),
file('SYN597-1.p',unknown),
[] ).
cnf(18,axiom,
( ~ p3(u,v)
| ~ p3(u,w)
| p3(w,v) ),
file('SYN597-1.p',unknown),
[] ).
cnf(19,axiom,
( ~ p2(u,v)
| ~ p2(u,w)
| p2(w,v) ),
file('SYN597-1.p',unknown),
[] ).
cnf(21,axiom,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
file('SYN597-1.p',unknown),
[] ).
cnf(22,axiom,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
file('SYN597-1.p',unknown),
[] ).
cnf(24,axiom,
( ~ p10(u,v)
| ~ p2(w,x)
| ~ p18(w,u)
| p18(x,v) ),
file('SYN597-1.p',unknown),
[] ).
cnf(26,axiom,
( ~ p3(u,v)
| ~ p12(w,x)
| p2(f13(u,w),f13(v,x)) ),
file('SYN597-1.p',unknown),
[] ).
cnf(27,axiom,
( ~ p3(u,v)
| ~ p3(w,x)
| p12(f14(w,u),f14(x,v)) ),
file('SYN597-1.p',unknown),
[] ).
cnf(28,axiom,
( ~ p10(u,v)
| ~ p9(w,x)
| ~ p2(y,z)
| p10(f11(y,w,u),f11(z,x,v)) ),
file('SYN597-1.p',unknown),
[] ).
cnf(35,plain,
( ~ p2(u,v)
| p2(v,u) ),
inference(res,[status(thm),theory(equality)],[4,19]),
[iquote('0:Res:4.0,19.0')] ).
cnf(38,plain,
( ~ p3(u,v)
| p3(v,u) ),
inference(res,[status(thm),theory(equality)],[3,18]),
[iquote('0:Res:3.0,18.0')] ).
cnf(47,plain,
p3(c22,c21),
inference(res,[status(thm),theory(equality)],[7,38]),
[iquote('0:Res:7.0,38.0')] ).
cnf(50,plain,
( ~ p2(u,v)
| p3(f15(v),f15(u)) ),
inference(res,[status(thm),theory(equality)],[11,38]),
[iquote('0:Res:11.1,38.0')] ).
cnf(79,plain,
( ~ p3(u,v)
| ~ p12(w,x)
| p2(f13(v,x),f13(u,w)) ),
inference(res,[status(thm),theory(equality)],[26,35]),
[iquote('0:Res:26.2,35.0')] ).
cnf(124,plain,
( ~ p10(u,v)
| ~ p9(w,x)
| ~ p2(y,z)
| ~ p2(x1,x2)
| ~ p18(x1,f11(y,w,u))
| p18(x2,f11(z,x,v)) ),
inference(res,[status(thm),theory(equality)],[28,24]),
[iquote('0:Res:28.3,24.0')] ).
cnf(240,plain,
( ~ p10(c24,u)
| ~ p9(c23,v)
| ~ p2(f13(f15(c20),f14(f4(c20),c21)),w)
| ~ p2(c20,x)
| p18(x,f11(w,v,u)) ),
inference(res,[status(thm),theory(equality)],[21,124]),
[iquote('0:Res:21.0,124.4')] ).
cnf(921,plain,
( ~ p3(u,f15(c20))
| ~ p12(v,f14(f4(c20),c21))
| ~ p10(c24,w)
| ~ p9(c23,x)
| ~ p2(c20,y)
| p18(y,f11(f13(u,v),x,w)) ),
inference(res,[status(thm),theory(equality)],[79,240]),
[iquote('0:Res:79.2,240.2')] ).
cnf(13997,plain,
( ~ p3(f15(c20),f15(c20))
| ~ p12(f14(f4(c20),c22),f14(f4(c20),c21))
| ~ p10(c24,c24)
| ~ p9(c23,c23)
| ~ p2(c20,c20) ),
inference(res,[status(thm),theory(equality)],[921,22]),
[iquote('0:Res:921.5,22.0')] ).
cnf(14002,plain,
~ p12(f14(f4(c20),c22),f14(f4(c20),c21)),
inference(mrr,[status(thm)],[13997,50,1,2,4]),
[iquote('0:MRR:13997.0,13997.2,13997.3,13997.4,50.1,1.0,2.0,4.0')] ).
cnf(14003,plain,
( ~ p3(c22,c21)
| ~ p3(f4(c20),f4(c20)) ),
inference(res,[status(thm),theory(equality)],[27,14002]),
[iquote('0:Res:27.2,14002.0')] ).
cnf(14005,plain,
$false,
inference(mrr,[status(thm)],[14003,47,3]),
[iquote('0:MRR:14003.0,14003.1,47.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN597-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n028.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 21:44:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 32.79/32.97
% 32.79/32.97 SPASS V 3.9
% 32.79/32.97 SPASS beiseite: Proof found.
% 32.79/32.97 % SZS status Theorem
% 32.79/32.97 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.79/32.97 SPASS derived 13819 clauses, backtracked 0 clauses, performed 0 splits and kept 10660 clauses.
% 32.79/32.97 SPASS allocated 72778 KBytes.
% 32.79/32.97 SPASS spent 0:0:32.48 on the problem.
% 32.79/32.97 0:00:00.04 for the input.
% 32.79/32.97 0:00:00.00 for the FLOTTER CNF translation.
% 32.79/32.97 0:00:00.15 for inferences.
% 32.79/32.97 0:00:00.00 for the backtracking.
% 32.79/32.97 0:0:32.14 for the reduction.
% 32.79/32.97
% 32.79/32.97
% 32.79/32.97 Here is a proof with depth 5, length 26 :
% 32.79/32.97 % SZS output start Refutation
% See solution above
% 32.79/32.97 Formulae used in the proof : p10_1 p9_2 p3_3 p2_4 p3_7 p3_11 p3_18 p2_19 p18_21 not_p18_22 p18_24 p2_26 p12_27 p10_28
% 32.79/32.97
%------------------------------------------------------------------------------