%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN601-1 : 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 12:23:08 EDT 2022
% Result : Unsatisfiable 38.11s 38.28s
% Output : Refutation 38.11s
% 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('SYN601-1.p',unknown),
[] ).
cnf(2,axiom,
p9(u,u),
file('SYN601-1.p',unknown),
[] ).
cnf(3,axiom,
p3(u,u),
file('SYN601-1.p',unknown),
[] ).
cnf(4,axiom,
p2(u,u),
file('SYN601-1.p',unknown),
[] ).
cnf(7,axiom,
p3(c22,c23),
file('SYN601-1.p',unknown),
[] ).
cnf(12,axiom,
( ~ p2(u,v)
| p3(f15(u),f15(v)) ),
file('SYN601-1.p',unknown),
[] ).
cnf(19,axiom,
( ~ p3(u,v)
| ~ p3(u,w)
| p3(w,v) ),
file('SYN601-1.p',unknown),
[] ).
cnf(20,axiom,
( ~ p2(u,v)
| ~ p2(u,w)
| p2(w,v) ),
file('SYN601-1.p',unknown),
[] ).
cnf(22,axiom,
p19(c21,f11(f13(f15(c21),f14(f4(c21),c22)),c24,c25)),
file('SYN601-1.p',unknown),
[] ).
cnf(23,axiom,
~ p19(c21,f11(f13(f15(c21),f14(f4(c21),c23)),c24,c25)),
file('SYN601-1.p',unknown),
[] ).
cnf(24,axiom,
( ~ p10(u,v)
| ~ p2(w,x)
| ~ p19(w,u)
| p19(x,v) ),
file('SYN601-1.p',unknown),
[] ).
cnf(27,axiom,
( ~ p3(u,v)
| ~ p3(w,x)
| p12(f14(w,u),f14(x,v)) ),
file('SYN601-1.p',unknown),
[] ).
cnf(28,axiom,
( ~ p3(u,v)
| ~ p12(w,x)
| p2(f13(u,w),f13(v,x)) ),
file('SYN601-1.p',unknown),
[] ).
cnf(30,axiom,
( ~ p10(u,v)
| ~ p9(w,x)
| ~ p2(y,z)
| p10(f11(y,w,u),f11(z,x,v)) ),
file('SYN601-1.p',unknown),
[] ).
cnf(41,plain,
( ~ p2(u,v)
| p2(v,u) ),
inference(res,[status(thm),theory(equality)],[4,20]),
[iquote('0:Res:4.0,20.0')] ).
cnf(43,plain,
( ~ p3(u,v)
| p3(v,u) ),
inference(res,[status(thm),theory(equality)],[3,19]),
[iquote('0:Res:3.0,19.0')] ).
cnf(53,plain,
p3(c23,c22),
inference(res,[status(thm),theory(equality)],[7,43]),
[iquote('0:Res:7.0,43.0')] ).
cnf(56,plain,
( ~ p2(u,v)
| p3(f15(v),f15(u)) ),
inference(res,[status(thm),theory(equality)],[12,43]),
[iquote('0:Res:12.1,43.0')] ).
cnf(106,plain,
( ~ p3(u,v)
| ~ p12(w,x)
| p2(f13(v,x),f13(u,w)) ),
inference(res,[status(thm),theory(equality)],[28,41]),
[iquote('0:Res:28.2,41.0')] ).
cnf(173,plain,
( ~ p10(u,v)
| ~ p9(w,x)
| ~ p2(y,z)
| ~ p2(x1,x2)
| ~ p19(x1,f11(y,w,u))
| p19(x2,f11(z,x,v)) ),
inference(res,[status(thm),theory(equality)],[30,24]),
[iquote('0:Res:30.3,24.0')] ).
cnf(390,plain,
( ~ p10(c25,u)
| ~ p9(c24,v)
| ~ p2(f13(f15(c21),f14(f4(c21),c22)),w)
| ~ p2(c21,x)
| p19(x,f11(w,v,u)) ),
inference(res,[status(thm),theory(equality)],[22,173]),
[iquote('0:Res:22.0,173.4')] ).
cnf(1424,plain,
( ~ p3(u,f15(c21))
| ~ p12(v,f14(f4(c21),c22))
| ~ p10(c25,w)
| ~ p9(c24,x)
| ~ p2(c21,y)
| p19(y,f11(f13(u,v),x,w)) ),
inference(res,[status(thm),theory(equality)],[106,390]),
[iquote('0:Res:106.2,390.2')] ).
cnf(16223,plain,
( ~ p3(f15(c21),f15(c21))
| ~ p12(f14(f4(c21),c23),f14(f4(c21),c22))
| ~ p10(c25,c25)
| ~ p9(c24,c24)
| ~ p2(c21,c21) ),
inference(res,[status(thm),theory(equality)],[1424,23]),
[iquote('0:Res:1424.5,23.0')] ).
cnf(16228,plain,
~ p12(f14(f4(c21),c23),f14(f4(c21),c22)),
inference(mrr,[status(thm)],[16223,56,1,2,4]),
[iquote('0:MRR:16223.0,16223.2,16223.3,16223.4,56.1,1.0,2.0,4.0')] ).
cnf(16229,plain,
( ~ p3(c23,c22)
| ~ p3(f4(c21),f4(c21)) ),
inference(res,[status(thm),theory(equality)],[27,16228]),
[iquote('0:Res:27.2,16228.0')] ).
cnf(16231,plain,
$false,
inference(mrr,[status(thm)],[16229,53,3]),
[iquote('0:MRR:16229.0,16229.1,53.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN601-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.11/0.33 % Computer : n015.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 22:50:39 EDT 2022
% 0.11/0.33 % CPUTime :
% 38.11/38.28
% 38.11/38.28 SPASS V 3.9
% 38.11/38.28 SPASS beiseite: Proof found.
% 38.11/38.28 % SZS status Theorem
% 38.11/38.28 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 38.11/38.28 SPASS derived 16023 clauses, backtracked 0 clauses, performed 0 splits and kept 11939 clauses.
% 38.11/38.28 SPASS allocated 74182 KBytes.
% 38.11/38.28 SPASS spent 0:0:37.77 on the problem.
% 38.11/38.28 0:00:00.04 for the input.
% 38.11/38.28 0:00:00.00 for the FLOTTER CNF translation.
% 38.11/38.28 0:00:00.16 for inferences.
% 38.11/38.28 0:00:00.00 for the backtracking.
% 38.11/38.28 0:0:37.35 for the reduction.
% 38.11/38.28
% 38.11/38.28
% 38.11/38.28 Here is a proof with depth 5, length 26 :
% 38.11/38.28 % SZS output start Refutation
% See solution above
% 38.11/38.28 Formulae used in the proof : p10_1 p9_2 p3_3 p2_4 p3_7 p3_12 p3_19 p2_20 p19_22 not_p19_23 p19_24 p12_27 p2_28 p10_30
% 38.11/38.28
%------------------------------------------------------------------------------