%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN702-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 12:23:46 EDT 2022
% Result : Unsatisfiable 1.99s 2.20s
% Output : Refutation 1.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 7 unt; 0 nHn; 15 RR)
% Number of literals : 33 ( 0 equ; 20 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 16 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
p7(u,u),
file('SYN702-1.p',unknown),
[] ).
cnf(20,axiom,
p2(u,u),
file('SYN702-1.p',unknown),
[] ).
cnf(51,axiom,
~ p47(f20(f22(f24(f26(c55,u),v),w),x),x),
file('SYN702-1.p',unknown),
[] ).
cnf(52,axiom,
( ~ p4(u,v)
| ~ p7(w,x)
| ~ p47(u,w)
| p47(v,x) ),
file('SYN702-1.p',unknown),
[] ).
cnf(57,axiom,
( ~ p3(u,v)
| ~ p2(w,x)
| p4(f5(w,u),f5(x,v)) ),
file('SYN702-1.p',unknown),
[] ).
cnf(73,axiom,
( ~ p47(f5(c48,f13(f16(f18(c50,u),v),w)),x)
| p47(u,x) ),
file('SYN702-1.p',unknown),
[] ).
cnf(76,axiom,
p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c54),
file('SYN702-1.p',unknown),
[] ).
cnf(79,axiom,
p3(f8(f10(c49,f13(f16(f18(c50,u),v),w)),x),f13(f16(f18(c50,f20(f22(f24(f26(c55,u),v),w),x)),f30(f32(f34(f36(c56,u),v),w),x)),f40(f42(f44(f46(c57,u),v),w),x))),
file('SYN702-1.p',unknown),
[] ).
cnf(172,plain,
( ~ p3(u,v)
| ~ p2(w,x)
| ~ p7(y,z)
| ~ p47(f5(w,u),y)
| p47(f5(x,v),z) ),
inference(res,[status(thm),theory(equality)],[57,52]),
[iquote('0:Res:57.2,52.0')] ).
cnf(310,plain,
( ~ p3(f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54),u)
| ~ p2(c48,v)
| ~ p7(c54,w)
| p47(f5(v,u),w) ),
inference(res,[status(thm),theory(equality)],[76,172]),
[iquote('0:Res:76.0,172.3')] ).
cnf(602,plain,
( ~ p2(c48,u)
| ~ p7(c54,v)
| p47(f5(u,f13(f16(f18(c50,f20(f22(f24(f26(c55,c51),c52),c53),c54)),f30(f32(f34(f36(c56,c51),c52),c53),c54)),f40(f42(f44(f46(c57,c51),c52),c53),c54))),v) ),
inference(res,[status(thm),theory(equality)],[79,310]),
[iquote('0:Res:79.0,310.0')] ).
cnf(2667,plain,
( ~ p2(c48,c48)
| ~ p7(c54,u)
| p47(f20(f22(f24(f26(c55,c51),c52),c53),c54),u) ),
inference(res,[status(thm),theory(equality)],[602,73]),
[iquote('0:Res:602.2,73.0')] ).
cnf(2672,plain,
( ~ p7(c54,u)
| p47(f20(f22(f24(f26(c55,c51),c52),c53),c54),u) ),
inference(mrr,[status(thm)],[2667,20]),
[iquote('0:MRR:2667.0,20.0')] ).
cnf(2673,plain,
~ p7(c54,c54),
inference(res,[status(thm),theory(equality)],[2672,51]),
[iquote('0:Res:2672.1,51.0')] ).
cnf(2688,plain,
$false,
inference(mrr,[status(thm)],[2673,3]),
[iquote('0:MRR:2673.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN702-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n015.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 15:51:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.99/2.20
% 1.99/2.20 SPASS V 3.9
% 1.99/2.20 SPASS beiseite: Proof found.
% 1.99/2.20 % SZS status Theorem
% 1.99/2.20 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.99/2.20 SPASS derived 2601 clauses, backtracked 0 clauses, performed 0 splits and kept 2148 clauses.
% 1.99/2.20 SPASS allocated 67628 KBytes.
% 1.99/2.20 SPASS spent 0:00:01.84 on the problem.
% 1.99/2.20 0:00:00.04 for the input.
% 1.99/2.20 0:00:00.00 for the FLOTTER CNF translation.
% 1.99/2.20 0:00:00.07 for inferences.
% 1.99/2.20 0:00:00.00 for the backtracking.
% 1.99/2.20 0:00:01.67 for the reduction.
% 1.99/2.20
% 1.99/2.20
% 1.99/2.20 Here is a proof with depth 5, length 15 :
% 1.99/2.20 % SZS output start Refutation
% See solution above
% 1.99/2.20 Formulae used in the proof : p7_3 p2_20 not_p47_51 p47_52 p4_57 p47_73 p47_76 p3_79
% 1.99/2.20
%------------------------------------------------------------------------------