TSTP Solution File: LCL415-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL415-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n019.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  : 300s
% DateTime : Tue May 21 00:26:29 EDT 2024

% Result   : Satisfiable 0.20s 0.38s
% Output   : Saturation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(u20,axiom,
    ( ~ is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(X1,X2)),implies(implies(X1,X2),implies(implies(X0,implies(X1,X2)),implies(X1,X2)))))
    | ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,X2)))
    | is_a_theorem(implies(X2,implies(implies(X0,implies(X1,X2)),implies(X1,X2))))
    | ~ is_a_theorem(implies(X2,implies(implies(implies(X0,implies(X1,X2)),implies(X1,X2)),implies(implies(X0,implies(X1,X2)),implies(X1,X2))))) ) ).

cnf(u13,axiom,
    ( ~ is_a_theorem(implies(X0,implies(implies(X4,implies(X2,X0)),implies(implies(X1,implies(X2,X0)),X3))))
    | is_a_theorem(implies(X0,implies(implies(X1,implies(X2,X0)),X3)))
    | ~ is_a_theorem(implies(implies(X2,X0),implies(X4,implies(X2,X0)))) ) ).

cnf(u5,axiom,
    ( ~ is_a_theorem(implies(X1,implies(implies(X3,X0),X2)))
    | is_a_theorem(implies(X0,X2))
    | ~ is_a_theorem(implies(X0,X1)) ) ).

cnf(u15,axiom,
    ( ~ is_a_theorem(implies(implies(implies(X2,implies(X1,X0)),X0),implies(implies(X1,X0),X3)))
    | ~ is_a_theorem(implies(X0,implies(implies(X2,implies(X1,X0)),X0)))
    | is_a_theorem(implies(X0,implies(implies(X1,X0),X0))) ) ).

cnf(u18,axiom,
    ( is_a_theorem(implies(implies(implies(implies(X0,X1),X2),implies(implies(X0,X1),X2)),implies(X1,X2)))
    | ~ is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,implies(implies(X0,X1),X2))))
    | ~ is_a_theorem(implies(implies(X0,X1),X2)) ) ).

cnf(u4,axiom,
    ( is_a_theorem(implies(implies(X0,implies(implies(X1,X2),X3)),implies(X2,X3)))
    | ~ is_a_theorem(implies(X2,X0)) ) ).

cnf(u14,axiom,
    ( is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(implies(X0,X1),X2),implies(implies(X0,X1),X2)),implies(X1,X2))))
    | ~ is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,implies(implies(X0,X1),X2)))) ) ).

cnf(u7,axiom,
    ( ~ is_a_theorem(implies(X0,implies(X2,implies(implies(X3,implies(X4,X0)),X1))))
    | is_a_theorem(implies(X0,X1))
    | ~ is_a_theorem(implies(implies(X4,X0),X2)) ) ).

cnf(u9,axiom,
    ( ~ is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X3)))
    | is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(implies(implies(X0,X1),X2)) ) ).

cnf(u6,axiom,
    ( is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))
    | ~ is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X3))) ) ).

cnf(u8,axiom,
    ( ~ is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(implies(X1,X2),X4)))
    | is_a_theorem(implies(X2,X3))
    | ~ is_a_theorem(implies(X2,implies(implies(X0,implies(X1,X2)),X3))) ) ).

cnf(condensed_detachment,axiom,
    ( ~ is_a_theorem(implies(X0,X1))
    | is_a_theorem(X1)
    | ~ is_a_theorem(X0) ) ).

cnf(u11,axiom,
    ( ~ is_a_theorem(implies(implies(X3,X0),implies(implies(X1,X0),X2)))
    | is_a_theorem(implies(X0,implies(implies(X1,X0),X2)))
    | ~ is_a_theorem(implies(X0,implies(X3,X0))) ) ).

cnf(prove_required_property,negated_conjecture,
    ~ is_a_theorem(implies(a,implies(b,a))) ).

cnf(u21,axiom,
    ( ~ is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(implies(X1,X2),implies(implies(X0,implies(X1,X2)),X3))))
    | ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),X3))
    | is_a_theorem(implies(X2,X3))
    | ~ is_a_theorem(implies(X2,implies(implies(implies(X0,implies(X1,X2)),X3),implies(implies(X0,implies(X1,X2)),X3)))) ) ).

cnf(candidate,axiom,
    is_a_theorem(implies(implies(X0,X1),implies(implies(X1,implies(implies(X2,X0),X3)),implies(X0,X3)))) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : LCL415-1 : TPTP v8.2.0. Released v2.5.0.
% 0.12/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.36  % Computer : n019.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit   : 300
% 0.13/0.36  % WCLimit    : 300
% 0.13/0.36  % DateTime   : Mon May 20 01:27:08 EDT 2024
% 0.13/0.36  % CPUTime    : 
% 0.20/0.36  % (17550)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.38  % (17557)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.38  % (17556)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.20/0.38  % (17552)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.38  % (17551)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.38  % (17553)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.20/0.38  TRYING [1]
% 0.20/0.38  TRYING [2]
% 0.20/0.38  TRYING [1]
% 0.20/0.38  TRYING [1]
% 0.20/0.38  TRYING [2]
% 0.20/0.38  TRYING [2]
% 0.20/0.38  TRYING [3]
% 0.20/0.38  % (17553)First to succeed.
% 0.20/0.38  % (17553)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17550"
% 0.20/0.38  TRYING [3]
% 0.20/0.38  TRYING [3]
% 0.20/0.38  % SZS status Satisfiable for theBenchmark
% 0.20/0.38  % (17553)# SZS output start Saturation.
% See solution above
% 0.20/0.38  % (17553)------------------------------
% 0.20/0.38  % (17553)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.38  % (17553)Termination reason: Satisfiable
% 0.20/0.38  
% 0.20/0.38  % (17553)Memory used [KB]: 753
% 0.20/0.38  % (17553)Time elapsed: 0.004 s
% 0.20/0.38  % (17553)Instructions burned: 4 (million)
% 0.20/0.38  % (17550)Success in time 0.019 s
%------------------------------------------------------------------------------