TSTP Solution File: SYN713-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN713-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %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 09:04:57 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of clauses : 40 ( 19 unt; 3 nHn; 27 RR)
% Number of literals : 73 ( 0 equ; 32 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 15 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p9_2,negated_conjecture,
p9(X210,X210) ).
cnf(p40_14,negated_conjecture,
p40(X129,X129) ).
cnf(p12_34,negated_conjecture,
p12(X7,X7) ).
cnf(p59_35,negated_conjecture,
p59(f38(c72,c77),f35(c73,c68)) ).
cnf(p56_38,negated_conjecture,
p56(f11(c65,f14(f17(c66,c67),c68)),c64) ).
cnf(not_p57_39,negated_conjecture,
~ p57(f26(f28(c71,f41(c78,c64)),c67),c77) ).
cnf(p57_74,negated_conjecture,
( p57(f26(f28(c71,X186),X187),X188)
| ~ p57(f26(X186,X187),X188) ) ).
cnf(p56_76,negated_conjecture,
( p56(X175,X176)
| ~ p40(X178,X176)
| ~ p56(X177,X178)
| ~ p4(X177,X175) ) ).
cnf(not_p58_80,negated_conjecture,
~ p58(f31(f33(c75,c76),f23(c69,c77)),f19(f22(c70,c69),c68)) ).
cnf(p10_81,negated_conjecture,
( p10(f14(X3,X4),f14(X5,X6))
| ~ p12(X3,X5)
| ~ p13(X4,X6) ) ).
cnf(p4_87,negated_conjecture,
( p4(f11(X121,X122),f11(X123,X124))
| ~ p10(X122,X124)
| ~ p9(X121,X123) ) ).
cnf(p57_101,negated_conjecture,
( p57(f26(f41(c78,X181),X179),X180)
| ~ p56(f11(c65,f14(f17(c66,X179),f23(c74,X180))),X181) ) ).
cnf(p13_105,negated_conjecture,
( p13(X17,f23(c74,X18))
| p58(f31(f33(c75,c76),f23(c69,X18)),f19(f22(c70,c69),X17))
| ~ p59(f38(c72,X18),f35(c73,X17)) ) ).
cnf(refute_0_0,plain,
( ~ p57(f26(f41(c78,c64),c67),c77)
| p57(f26(f28(c71,f41(c78,c64)),c67),c77) ),
inference(subst,[],[p57_74:[bind(X186,$fot(f41(c78,c64))),bind(X187,$fot(c67)),bind(X188,$fot(c77))]]) ).
cnf(refute_0_1,plain,
( ~ p56(f11(c65,f14(f17(c66,c67),f23(c74,c77))),c64)
| p57(f26(f41(c78,c64),c67),c77) ),
inference(subst,[],[p57_101:[bind(X179,$fot(c67)),bind(X180,$fot(c77)),bind(X181,$fot(c64))]]) ).
cnf(refute_0_2,plain,
p9(X_317,X_317),
inference(subst,[],[p9_2:[bind(X210,$fot(X_317))]]) ).
cnf(refute_0_3,plain,
( ~ p10(X_316,X_318)
| ~ p9(X_317,X_317)
| p4(f11(X_317,X_316),f11(X_317,X_318)) ),
inference(subst,[],[p4_87:[bind(X121,$fot(X_317)),bind(X122,$fot(X_316)),bind(X123,$fot(X_317)),bind(X124,$fot(X_318))]]) ).
cnf(refute_0_4,plain,
( ~ p10(X_316,X_318)
| p4(f11(X_317,X_316),f11(X_317,X_318)) ),
inference(resolve,[$cnf( p9(X_317,X_317) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ p10(f14(X_607,c68),f14(X_607,f23(c74,c77)))
| p4(f11(X_317,f14(X_607,c68)),f11(X_317,f14(X_607,f23(c74,c77)))) ),
inference(subst,[],[refute_0_4:[bind(X_316,$fot(f14(X_607,c68))),bind(X_318,$fot(f14(X_607,f23(c74,c77))))]]) ).
cnf(refute_0_6,plain,
p12(X_225,X_225),
inference(subst,[],[p12_34:[bind(X7,$fot(X_225))]]) ).
cnf(refute_0_7,plain,
( ~ p12(X_225,X_225)
| ~ p13(X_224,X_226)
| p10(f14(X_225,X_224),f14(X_225,X_226)) ),
inference(subst,[],[p10_81:[bind(X3,$fot(X_225)),bind(X4,$fot(X_224)),bind(X5,$fot(X_225)),bind(X6,$fot(X_226))]]) ).
cnf(refute_0_8,plain,
( ~ p13(X_224,X_226)
| p10(f14(X_225,X_224),f14(X_225,X_226)) ),
inference(resolve,[$cnf( p12(X_225,X_225) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ p13(c68,f23(c74,c77))
| p10(f14(X_225,c68),f14(X_225,f23(c74,c77))) ),
inference(subst,[],[refute_0_8:[bind(X_224,$fot(c68)),bind(X_226,$fot(f23(c74,c77)))]]) ).
cnf(refute_0_10,plain,
( ~ p59(f38(c72,c77),f35(c73,c68))
| p13(c68,f23(c74,c77))
| p58(f31(f33(c75,c76),f23(c69,c77)),f19(f22(c70,c69),c68)) ),
inference(subst,[],[p13_105:[bind(X17,$fot(c68)),bind(X18,$fot(c77))]]) ).
cnf(refute_0_11,plain,
( p13(c68,f23(c74,c77))
| p58(f31(f33(c75,c76),f23(c69,c77)),f19(f22(c70,c69),c68)) ),
inference(resolve,[$cnf( p59(f38(c72,c77),f35(c73,c68)) )],[p59_35,refute_0_10]) ).
cnf(refute_0_12,plain,
p13(c68,f23(c74,c77)),
inference(resolve,[$cnf( p58(f31(f33(c75,c76),f23(c69,c77)),f19(f22(c70,c69),c68)) )],[refute_0_11,not_p58_80]) ).
cnf(refute_0_13,plain,
p10(f14(X_225,c68),f14(X_225,f23(c74,c77))),
inference(resolve,[$cnf( p13(c68,f23(c74,c77)) )],[refute_0_12,refute_0_9]) ).
cnf(refute_0_14,plain,
p10(f14(X_607,c68),f14(X_607,f23(c74,c77))),
inference(subst,[],[refute_0_13:[bind(X_225,$fot(X_607))]]) ).
cnf(refute_0_15,plain,
p4(f11(X_317,f14(X_607,c68)),f11(X_317,f14(X_607,f23(c74,c77)))),
inference(resolve,[$cnf( p10(f14(X_607,c68),f14(X_607,f23(c74,c77))) )],[refute_0_14,refute_0_5]) ).
cnf(refute_0_16,plain,
p4(f11(c65,f14(f17(c66,c67),c68)),f11(c65,f14(f17(c66,c67),f23(c74,c77)))),
inference(subst,[],[refute_0_15:[bind(X_317,$fot(c65)),bind(X_607,$fot(f17(c66,c67)))]]) ).
cnf(refute_0_17,plain,
p40(X_908,X_908),
inference(subst,[],[p40_14:[bind(X129,$fot(X_908))]]) ).
cnf(refute_0_18,plain,
( ~ p4(X_909,X_907)
| ~ p40(X_908,X_908)
| ~ p56(X_909,X_908)
| p56(X_907,X_908) ),
inference(subst,[],[p56_76:[bind(X175,$fot(X_907)),bind(X176,$fot(X_908)),bind(X177,$fot(X_909)),bind(X178,$fot(X_908))]]) ).
cnf(refute_0_19,plain,
( ~ p4(X_909,X_907)
| ~ p56(X_909,X_908)
| p56(X_907,X_908) ),
inference(resolve,[$cnf( p40(X_908,X_908) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ p4(f11(c65,f14(f17(c66,c67),c68)),X_916)
| ~ p56(f11(c65,f14(f17(c66,c67),c68)),c64)
| p56(X_916,c64) ),
inference(subst,[],[refute_0_19:[bind(X_907,$fot(X_916)),bind(X_908,$fot(c64)),bind(X_909,$fot(f11(c65,f14(f17(c66,c67),c68))))]]) ).
cnf(refute_0_21,plain,
( ~ p4(f11(c65,f14(f17(c66,c67),c68)),X_916)
| p56(X_916,c64) ),
inference(resolve,[$cnf( p56(f11(c65,f14(f17(c66,c67),c68)),c64) )],[p56_38,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ p4(f11(c65,f14(f17(c66,c67),c68)),f11(c65,f14(f17(c66,c67),f23(c74,c77))))
| p56(f11(c65,f14(f17(c66,c67),f23(c74,c77))),c64) ),
inference(subst,[],[refute_0_21:[bind(X_916,$fot(f11(c65,f14(f17(c66,c67),f23(c74,c77)))))]]) ).
cnf(refute_0_23,plain,
p56(f11(c65,f14(f17(c66,c67),f23(c74,c77))),c64),
inference(resolve,[$cnf( p4(f11(c65,f14(f17(c66,c67),c68)),f11(c65,f14(f17(c66,c67),f23(c74,c77)))) )],[refute_0_16,refute_0_22]) ).
cnf(refute_0_24,plain,
p57(f26(f41(c78,c64),c67),c77),
inference(resolve,[$cnf( p56(f11(c65,f14(f17(c66,c67),f23(c74,c77))),c64) )],[refute_0_23,refute_0_1]) ).
cnf(refute_0_25,plain,
p57(f26(f28(c71,f41(c78,c64)),c67),c77),
inference(resolve,[$cnf( p57(f26(f41(c78,c64),c67),c77) )],[refute_0_24,refute_0_0]) ).
cnf(refute_0_26,plain,
$false,
inference(resolve,[$cnf( p57(f26(f28(c71,f41(c78,c64)),c67),c77) )],[refute_0_25,not_p57_39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN713-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %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 23:24:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51
% 0.19/0.51 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.52
%------------------------------------------------------------------------------