TSTP Solution File: ANA042-2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : ANA042-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n009.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 : Wed Aug 30 17:14:06 EDT 2023
% Result : Unsatisfiable 0.22s 0.60s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 11
% Syntax : Number of formulae : 14 ( 5 unt; 9 typ; 0 def)
% Number of atoms : 5 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 7 >; 7 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 6 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v_f: ( $i * $i ) > $i ).
tff(decl_23,type,
t_c: $i ).
tff(decl_24,type,
c_HOL_Oabs: ( $i * $i ) > $i ).
tff(decl_25,type,
v_x: $i ).
tff(decl_26,type,
v_h: ( $i * $i ) > $i ).
tff(decl_27,type,
c_times: ( $i * $i * $i ) > $i ).
tff(decl_28,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_29,type,
v_xa: $i > $i ).
tff(decl_30,type,
v_xb: $i > $i ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_f(v_xa(X1),v_xb(X1)),t_c),c_times(X1,v_h(v_xa(X1),v_xb(X1)),t_c),t_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_f(X1,X2),t_c),c_times(v_x,v_h(X1,X2),t_c),t_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_0_2,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_f(v_xa(X1),v_xb(X1)),t_c),c_times(X1,v_h(v_xa(X1),v_xb(X1)),t_c),t_c),
cls_conjecture_3 ).
cnf(c_0_3,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_f(X1,X2),t_c),c_times(v_x,v_h(X1,X2),t_c),t_c),
cls_conjecture_1 ).
cnf(c_0_4,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_2,c_0_3]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : ANA042-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 18:29:35 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.22/0.58 start to proof: theBenchmark
% 0.22/0.60 % Version : CSE_E---1.5
% 0.22/0.60 % Problem : theBenchmark.p
% 0.22/0.60 % Proof found
% 0.22/0.60 % SZS status Theorem for theBenchmark.p
% 0.22/0.60 % SZS output start Proof
% See solution above
% 0.22/0.60 % Total time : 0.003000 s
% 0.22/0.60 % SZS output end Proof
% 0.22/0.60 % Total time : 0.005000 s
%------------------------------------------------------------------------------