TSTP Solution File: SYN632-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN632-1 : 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 12:23:20 EDT 2022
% Result : Unsatisfiable 0.53s 0.77s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 23 ( 7 unt; 0 nHn; 23 RR)
% Number of literals : 52 ( 0 equ; 33 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 15 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
p3(u,u),
file('SYN632-1.p',unknown),
[] ).
cnf(7,axiom,
p2(u,u),
file('SYN632-1.p',unknown),
[] ).
cnf(17,axiom,
( ~ p3(u,v)
| ~ p3(u,w)
| p3(w,v) ),
file('SYN632-1.p',unknown),
[] ).
cnf(23,axiom,
( ~ p21(u,v)
| ~ p4(u,w)
| ~ p3(v,x)
| p21(w,x) ),
file('SYN632-1.p',unknown),
[] ).
cnf(24,axiom,
p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),c22),c23),c27),
file('SYN632-1.p',unknown),
[] ).
cnf(31,axiom,
( ~ p3(u,v)
| ~ p2(w,x)
| p4(f5(w,u),f5(x,v)) ),
file('SYN632-1.p',unknown),
[] ).
cnf(33,axiom,
( ~ p21(f5(f7(f10(c24,f12(c25,c26)),u),v),w)
| p3(v,w) ),
file('SYN632-1.p',unknown),
[] ).
cnf(34,axiom,
( ~ p3(u,v)
| p21(f5(f7(f10(c24,f12(c25,c26)),w),u),v) ),
file('SYN632-1.p',unknown),
[] ).
cnf(35,axiom,
( ~ p21(f5(c22,c23),u)
| ~ p21(f5(f7(f10(c24,f12(c25,c26)),c22),u),c27) ),
file('SYN632-1.p',unknown),
[] ).
cnf(36,axiom,
( ~ p21(f5(f7(f10(c24,f12(c28,u)),v),w),x)
| p21(f5(v,f14(f16(f18(f20(c29,u),w),v),x)),x) ),
file('SYN632-1.p',unknown),
[] ).
cnf(38,axiom,
( ~ p21(f5(f7(f10(c24,f12(c28,u)),v),w),x)
| p21(f5(f7(f10(c24,u),v),w),f14(f16(f18(f20(c29,u),w),v),x)) ),
file('SYN632-1.p',unknown),
[] ).
cnf(59,plain,
( ~ p3(u,v)
| p3(v,u) ),
inference(res,[status(thm),theory(equality)],[6,17]),
[iquote('0:Res:6.0,17.0')] ).
cnf(88,plain,
( ~ p3(u,c27)
| ~ p21(f5(c22,c23),u) ),
inference(res,[status(thm),theory(equality)],[34,35]),
[iquote('0:Res:34.1,35.1')] ).
cnf(97,plain,
( ~ p21(f5(f7(f10(c24,f12(c28,u)),v),w),x)
| ~ p4(f5(v,f14(f16(f18(f20(c29,u),w),v),x)),y)
| ~ p3(x,z)
| p21(y,z) ),
inference(res,[status(thm),theory(equality)],[36,23]),
[iquote('0:Res:36.1,23.0')] ).
cnf(124,plain,
( ~ p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),u),v),w)
| p3(v,f14(f16(f18(f20(c29,f12(c25,c26)),v),u),w)) ),
inference(res,[status(thm),theory(equality)],[38,33]),
[iquote('0:Res:38.1,33.0')] ).
cnf(170,plain,
p3(c23,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),
inference(res,[status(thm),theory(equality)],[24,124]),
[iquote('0:Res:24.0,124.0')] ).
cnf(174,plain,
p3(f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27),c23),
inference(res,[status(thm),theory(equality)],[170,59]),
[iquote('0:Res:170.0,59.0')] ).
cnf(187,plain,
( ~ p3(f14(f16(f18(f20(c29,u),v),w),x),y)
| ~ p2(w,z)
| ~ p21(f5(f7(f10(c24,f12(c28,u)),w),v),x)
| ~ p3(x,x1)
| p21(f5(z,y),x1) ),
inference(res,[status(thm),theory(equality)],[31,97]),
[iquote('0:Res:31.2,97.1')] ).
cnf(897,plain,
( ~ p2(c22,u)
| ~ p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),c22),c23),c27)
| ~ p3(c27,v)
| p21(f5(u,c23),v) ),
inference(res,[status(thm),theory(equality)],[174,187]),
[iquote('0:Res:174.0,187.0')] ).
cnf(917,plain,
( ~ p2(c22,u)
| ~ p3(c27,v)
| p21(f5(u,c23),v) ),
inference(mrr,[status(thm)],[897,24]),
[iquote('0:MRR:897.1,24.0')] ).
cnf(932,plain,
( ~ p2(c22,c22)
| ~ p3(c27,u)
| ~ p3(u,c27) ),
inference(res,[status(thm),theory(equality)],[917,88]),
[iquote('0:Res:917.2,88.1')] ).
cnf(937,plain,
~ p3(u,c27),
inference(mrr,[status(thm)],[932,7,59]),
[iquote('0:MRR:932.0,932.1,7.0,59.1')] ).
cnf(938,plain,
$false,
inference(unc,[status(thm)],[937,6]),
[iquote('0:UnC:937.0,6.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN632-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jul 12 04:36:27 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.53/0.77
% 0.53/0.77 SPASS V 3.9
% 0.53/0.77 SPASS beiseite: Proof found.
% 0.53/0.77 % SZS status Theorem
% 0.53/0.77 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.77 SPASS derived 868 clauses, backtracked 0 clauses, performed 0 splits and kept 713 clauses.
% 0.53/0.77 SPASS allocated 64459 KBytes.
% 0.53/0.77 SPASS spent 0:00:00.42 on the problem.
% 0.53/0.77 0:00:00.04 for the input.
% 0.53/0.77 0:00:00.00 for the FLOTTER CNF translation.
% 0.53/0.77 0:00:00.03 for inferences.
% 0.53/0.77 0:00:00.00 for the backtracking.
% 0.53/0.77 0:00:00.33 for the reduction.
% 0.53/0.77
% 0.53/0.77
% 0.53/0.77 Here is a proof with depth 5, length 23 :
% 0.53/0.77 % SZS output start Refutation
% See solution above
% 0.53/0.77 Formulae used in the proof : p3_6 p2_7 p3_17 p21_23 p21_24 p4_31 p3_33 p21_34 not_p21_35 p21_36 p21_38
% 0.53/0.77
%------------------------------------------------------------------------------