TSTP Solution File: SYN096-1.008 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN096-1.008 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n004.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 08:59:32 EDT 2022
% Result : Unsatisfiable 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 27
% Syntax : Number of clauses : 99 ( 28 unt; 0 nHn; 99 RR)
% Number of literals : 216 ( 0 equ; 120 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(m_s3_goal_1,negated_conjecture,
( ~ p_0(X)
| ~ q_0(X) ) ).
cnf(m_s3_type11_1,axiom,
( p_0(X)
| ~ p_1(X)
| ~ p_2(X) ) ).
cnf(m_s3_type11_3,axiom,
( p_1(X)
| ~ p_2(X)
| ~ p_3(X) ) ).
cnf(m_s3_type11_5,axiom,
( p_2(X)
| ~ p_3(X)
| ~ p_4(X) ) ).
cnf(m_s3_type11_7,axiom,
( p_3(X)
| ~ p_4(X)
| ~ p_5(X) ) ).
cnf(m_s3_type11_9,axiom,
( p_4(X)
| ~ p_5(X)
| ~ p_6(X) ) ).
cnf(m_s3_type11_11,axiom,
( p_5(X)
| ~ p_6(X)
| ~ p_7(X) ) ).
cnf(m_s3_type11_13,axiom,
( p_6(X)
| ~ p_7(X)
| ~ p_8(X) ) ).
cnf(m_s3_type11_15,axiom,
( p_7(X)
| ~ p_8(X)
| ~ p_9(X) ) ).
cnf(m_s3_type11_17,axiom,
( p_8(X)
| ~ p_9(X)
| ~ p_10(X) ) ).
cnf(m_s3_type11_19,axiom,
( p_9(X)
| ~ p_10(X)
| ~ p_11(X) ) ).
cnf(m_s3_type11_21,axiom,
( p_10(X)
| ~ p_11(X)
| ~ p_12(X) ) ).
cnf(m_s3_type11_23,axiom,
( p_11(X)
| ~ p_12(X)
| ~ p_13(X) ) ).
cnf(m_s3_type11_25,axiom,
( p_12(X)
| ~ p_13(X)
| ~ p_14(X) ) ).
cnf(m_s3_type11_27,axiom,
( p_13(X)
| ~ p_14(X)
| ~ p_15(X) ) ).
cnf(m_s3_type12_2,axiom,
( q_0(X)
| ~ q_1(X)
| ~ p_2(X) ) ).
cnf(m_s3_type12_3,axiom,
( q_1(X)
| ~ p_2(X)
| ~ q_3(X) ) ).
cnf(m_s3_type12_7,axiom,
( q_3(X)
| ~ p_4(X)
| ~ q_5(X) ) ).
cnf(m_s3_type12_11,axiom,
( q_5(X)
| ~ p_6(X)
| ~ q_7(X) ) ).
cnf(m_s3_type12_16,axiom,
( q_7(X)
| ~ q_8(X)
| ~ p_9(X) ) ).
cnf(m_s3_type12_17,axiom,
( q_8(X)
| ~ p_9(X)
| ~ q_10(X) ) ).
cnf(m_s3_type12_21,axiom,
( q_10(X)
| ~ p_11(X)
| ~ q_12(X) ) ).
cnf(m_s3_type12_26,axiom,
( q_12(X)
| ~ q_13(X)
| ~ p_14(X) ) ).
cnf(m_s3_type12_27,axiom,
( q_13(X)
| ~ p_14(X)
| ~ q_15(X) ) ).
cnf(m_t3_1,axiom,
p_14(a) ).
cnf(m_t3_2,axiom,
p_15(a) ).
cnf(m_t3_4,axiom,
q_15(a) ).
cnf(refute_0_0,plain,
( ~ p_0(a)
| ~ q_0(a) ),
inference(subst,[],[m_s3_goal_1:[bind(X,$fot(a))]]) ).
cnf(refute_0_1,plain,
( ~ p_2(a)
| ~ q_1(a)
| q_0(a) ),
inference(subst,[],[m_s3_type12_2:[bind(X,$fot(a))]]) ).
cnf(refute_0_2,plain,
( ~ p_2(a)
| ~ q_3(a)
| q_1(a) ),
inference(subst,[],[m_s3_type12_3:[bind(X,$fot(a))]]) ).
cnf(refute_0_3,plain,
( ~ p_4(a)
| ~ q_5(a)
| q_3(a) ),
inference(subst,[],[m_s3_type12_7:[bind(X,$fot(a))]]) ).
cnf(refute_0_4,plain,
( ~ p_6(a)
| ~ q_7(a)
| q_5(a) ),
inference(subst,[],[m_s3_type12_11:[bind(X,$fot(a))]]) ).
cnf(refute_0_5,plain,
( ~ p_9(a)
| ~ q_8(a)
| q_7(a) ),
inference(subst,[],[m_s3_type12_16:[bind(X,$fot(a))]]) ).
cnf(refute_0_6,plain,
( ~ p_11(a)
| ~ q_12(a)
| q_10(a) ),
inference(subst,[],[m_s3_type12_21:[bind(X,$fot(a))]]) ).
cnf(refute_0_7,plain,
( ~ p_14(a)
| ~ q_13(a)
| q_12(a) ),
inference(subst,[],[m_s3_type12_26:[bind(X,$fot(a))]]) ).
cnf(refute_0_8,plain,
( ~ p_14(a)
| ~ q_15(a)
| q_13(a) ),
inference(subst,[],[m_s3_type12_27:[bind(X,$fot(a))]]) ).
cnf(refute_0_9,plain,
( ~ p_14(a)
| q_13(a) ),
inference(resolve,[$cnf( q_15(a) )],[m_t3_4,refute_0_8]) ).
cnf(refute_0_10,plain,
q_13(a),
inference(resolve,[$cnf( p_14(a) )],[m_t3_1,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ p_14(a)
| q_12(a) ),
inference(resolve,[$cnf( q_13(a) )],[refute_0_10,refute_0_7]) ).
cnf(refute_0_12,plain,
q_12(a),
inference(resolve,[$cnf( p_14(a) )],[m_t3_1,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ p_11(a)
| q_10(a) ),
inference(resolve,[$cnf( q_12(a) )],[refute_0_12,refute_0_6]) ).
cnf(refute_0_14,plain,
( ~ p_12(a)
| ~ p_13(a)
| p_11(a) ),
inference(subst,[],[m_s3_type11_23:[bind(X,$fot(a))]]) ).
cnf(refute_0_15,plain,
( ~ p_14(a)
| ~ p_15(a)
| p_13(a) ),
inference(subst,[],[m_s3_type11_27:[bind(X,$fot(a))]]) ).
cnf(refute_0_16,plain,
( ~ p_14(a)
| p_13(a) ),
inference(resolve,[$cnf( p_15(a) )],[m_t3_2,refute_0_15]) ).
cnf(refute_0_17,plain,
p_13(a),
inference(resolve,[$cnf( p_14(a) )],[m_t3_1,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ p_12(a)
| p_11(a) ),
inference(resolve,[$cnf( p_13(a) )],[refute_0_17,refute_0_14]) ).
cnf(refute_0_19,plain,
( ~ p_13(a)
| ~ p_14(a)
| p_12(a) ),
inference(subst,[],[m_s3_type11_25:[bind(X,$fot(a))]]) ).
cnf(refute_0_20,plain,
( ~ p_13(a)
| p_12(a) ),
inference(resolve,[$cnf( p_14(a) )],[m_t3_1,refute_0_19]) ).
cnf(refute_0_21,plain,
p_12(a),
inference(resolve,[$cnf( p_13(a) )],[refute_0_17,refute_0_20]) ).
cnf(refute_0_22,plain,
p_11(a),
inference(resolve,[$cnf( p_12(a) )],[refute_0_21,refute_0_18]) ).
cnf(refute_0_23,plain,
q_10(a),
inference(resolve,[$cnf( p_11(a) )],[refute_0_22,refute_0_13]) ).
cnf(refute_0_24,plain,
( ~ p_9(a)
| ~ q_10(a)
| q_8(a) ),
inference(subst,[],[m_s3_type12_17:[bind(X,$fot(a))]]) ).
cnf(refute_0_25,plain,
( ~ p_9(a)
| q_8(a) ),
inference(resolve,[$cnf( q_10(a) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
( ~ p_10(a)
| ~ p_11(a)
| p_9(a) ),
inference(subst,[],[m_s3_type11_19:[bind(X,$fot(a))]]) ).
cnf(refute_0_27,plain,
( ~ p_10(a)
| p_9(a) ),
inference(resolve,[$cnf( p_11(a) )],[refute_0_22,refute_0_26]) ).
cnf(refute_0_28,plain,
( ~ p_11(a)
| ~ p_12(a)
| p_10(a) ),
inference(subst,[],[m_s3_type11_21:[bind(X,$fot(a))]]) ).
cnf(refute_0_29,plain,
( ~ p_11(a)
| p_10(a) ),
inference(resolve,[$cnf( p_12(a) )],[refute_0_21,refute_0_28]) ).
cnf(refute_0_30,plain,
p_10(a),
inference(resolve,[$cnf( p_11(a) )],[refute_0_22,refute_0_29]) ).
cnf(refute_0_31,plain,
p_9(a),
inference(resolve,[$cnf( p_10(a) )],[refute_0_30,refute_0_27]) ).
cnf(refute_0_32,plain,
q_8(a),
inference(resolve,[$cnf( p_9(a) )],[refute_0_31,refute_0_25]) ).
cnf(refute_0_33,plain,
( ~ p_9(a)
| q_7(a) ),
inference(resolve,[$cnf( q_8(a) )],[refute_0_32,refute_0_5]) ).
cnf(refute_0_34,plain,
q_7(a),
inference(resolve,[$cnf( p_9(a) )],[refute_0_31,refute_0_33]) ).
cnf(refute_0_35,plain,
( ~ p_6(a)
| q_5(a) ),
inference(resolve,[$cnf( q_7(a) )],[refute_0_34,refute_0_4]) ).
cnf(refute_0_36,plain,
( ~ p_7(a)
| ~ p_8(a)
| p_6(a) ),
inference(subst,[],[m_s3_type11_13:[bind(X,$fot(a))]]) ).
cnf(refute_0_37,plain,
( ~ p_10(a)
| ~ p_9(a)
| p_8(a) ),
inference(subst,[],[m_s3_type11_17:[bind(X,$fot(a))]]) ).
cnf(refute_0_38,plain,
( ~ p_10(a)
| p_8(a) ),
inference(resolve,[$cnf( p_9(a) )],[refute_0_31,refute_0_37]) ).
cnf(refute_0_39,plain,
p_8(a),
inference(resolve,[$cnf( p_10(a) )],[refute_0_30,refute_0_38]) ).
cnf(refute_0_40,plain,
( ~ p_7(a)
| p_6(a) ),
inference(resolve,[$cnf( p_8(a) )],[refute_0_39,refute_0_36]) ).
cnf(refute_0_41,plain,
( ~ p_8(a)
| ~ p_9(a)
| p_7(a) ),
inference(subst,[],[m_s3_type11_15:[bind(X,$fot(a))]]) ).
cnf(refute_0_42,plain,
( ~ p_8(a)
| p_7(a) ),
inference(resolve,[$cnf( p_9(a) )],[refute_0_31,refute_0_41]) ).
cnf(refute_0_43,plain,
p_7(a),
inference(resolve,[$cnf( p_8(a) )],[refute_0_39,refute_0_42]) ).
cnf(refute_0_44,plain,
p_6(a),
inference(resolve,[$cnf( p_7(a) )],[refute_0_43,refute_0_40]) ).
cnf(refute_0_45,plain,
q_5(a),
inference(resolve,[$cnf( p_6(a) )],[refute_0_44,refute_0_35]) ).
cnf(refute_0_46,plain,
( ~ p_4(a)
| q_3(a) ),
inference(resolve,[$cnf( q_5(a) )],[refute_0_45,refute_0_3]) ).
cnf(refute_0_47,plain,
( ~ p_5(a)
| ~ p_6(a)
| p_4(a) ),
inference(subst,[],[m_s3_type11_9:[bind(X,$fot(a))]]) ).
cnf(refute_0_48,plain,
( ~ p_5(a)
| p_4(a) ),
inference(resolve,[$cnf( p_6(a) )],[refute_0_44,refute_0_47]) ).
cnf(refute_0_49,plain,
( ~ p_6(a)
| ~ p_7(a)
| p_5(a) ),
inference(subst,[],[m_s3_type11_11:[bind(X,$fot(a))]]) ).
cnf(refute_0_50,plain,
( ~ p_6(a)
| p_5(a) ),
inference(resolve,[$cnf( p_7(a) )],[refute_0_43,refute_0_49]) ).
cnf(refute_0_51,plain,
p_5(a),
inference(resolve,[$cnf( p_6(a) )],[refute_0_44,refute_0_50]) ).
cnf(refute_0_52,plain,
p_4(a),
inference(resolve,[$cnf( p_5(a) )],[refute_0_51,refute_0_48]) ).
cnf(refute_0_53,plain,
q_3(a),
inference(resolve,[$cnf( p_4(a) )],[refute_0_52,refute_0_46]) ).
cnf(refute_0_54,plain,
( ~ p_2(a)
| q_1(a) ),
inference(resolve,[$cnf( q_3(a) )],[refute_0_53,refute_0_2]) ).
cnf(refute_0_55,plain,
( ~ p_3(a)
| ~ p_4(a)
| p_2(a) ),
inference(subst,[],[m_s3_type11_5:[bind(X,$fot(a))]]) ).
cnf(refute_0_56,plain,
( ~ p_3(a)
| p_2(a) ),
inference(resolve,[$cnf( p_4(a) )],[refute_0_52,refute_0_55]) ).
cnf(refute_0_57,plain,
( ~ p_4(a)
| ~ p_5(a)
| p_3(a) ),
inference(subst,[],[m_s3_type11_7:[bind(X,$fot(a))]]) ).
cnf(refute_0_58,plain,
( ~ p_4(a)
| p_3(a) ),
inference(resolve,[$cnf( p_5(a) )],[refute_0_51,refute_0_57]) ).
cnf(refute_0_59,plain,
p_3(a),
inference(resolve,[$cnf( p_4(a) )],[refute_0_52,refute_0_58]) ).
cnf(refute_0_60,plain,
p_2(a),
inference(resolve,[$cnf( p_3(a) )],[refute_0_59,refute_0_56]) ).
cnf(refute_0_61,plain,
q_1(a),
inference(resolve,[$cnf( p_2(a) )],[refute_0_60,refute_0_54]) ).
cnf(refute_0_62,plain,
( ~ p_2(a)
| q_0(a) ),
inference(resolve,[$cnf( q_1(a) )],[refute_0_61,refute_0_1]) ).
cnf(refute_0_63,plain,
q_0(a),
inference(resolve,[$cnf( p_2(a) )],[refute_0_60,refute_0_62]) ).
cnf(refute_0_64,plain,
~ p_0(a),
inference(resolve,[$cnf( q_0(a) )],[refute_0_63,refute_0_0]) ).
cnf(refute_0_65,plain,
( ~ p_1(a)
| ~ p_2(a)
| p_0(a) ),
inference(subst,[],[m_s3_type11_1:[bind(X,$fot(a))]]) ).
cnf(refute_0_66,plain,
( ~ p_1(a)
| p_0(a) ),
inference(resolve,[$cnf( p_2(a) )],[refute_0_60,refute_0_65]) ).
cnf(refute_0_67,plain,
( ~ p_2(a)
| ~ p_3(a)
| p_1(a) ),
inference(subst,[],[m_s3_type11_3:[bind(X,$fot(a))]]) ).
cnf(refute_0_68,plain,
( ~ p_2(a)
| p_1(a) ),
inference(resolve,[$cnf( p_3(a) )],[refute_0_59,refute_0_67]) ).
cnf(refute_0_69,plain,
p_1(a),
inference(resolve,[$cnf( p_2(a) )],[refute_0_60,refute_0_68]) ).
cnf(refute_0_70,plain,
p_0(a),
inference(resolve,[$cnf( p_1(a) )],[refute_0_69,refute_0_66]) ).
cnf(refute_0_71,plain,
$false,
inference(resolve,[$cnf( p_0(a) )],[refute_0_70,refute_0_64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN096-1.008 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n004.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 23:50:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35
% 0.12/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35
%------------------------------------------------------------------------------