TSTP Solution File: COM010-2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : COM010-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n005.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 18:36:16 EDT 2023
% Result : Unsatisfiable 0.21s 0.59s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 15
% Syntax : Number of formulae : 22 ( 12 unt; 10 typ; 0 def)
% Number of atoms : 12 ( 11 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 : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 15 ( 7 >; 8 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-4 aty)
% Number of variables : 4 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v_F: $i ).
tff(decl_23,type,
t_a: $i ).
tff(decl_24,type,
c_UNITY_OInit: ( $i * $i ) > $i ).
tff(decl_25,type,
v_G: $i ).
tff(decl_26,type,
c_UNITY_OActs: ( $i * $i ) > $i ).
tff(decl_27,type,
c_UNITY_OAllowedActs: ( $i * $i ) > $i ).
tff(decl_28,type,
tc_prod: ( $i * $i ) > $i ).
tff(decl_29,type,
tc_set: $i > $i ).
tff(decl_30,type,
c_Pair: ( $i * $i * $i * $i ) > $i ).
tff(decl_31,type,
c_UNITY_Omk__program: ( $i * $i ) > $i ).
cnf(cls_UNITY_Osurjective__mk__program_0,axiom,
c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(X1,X2),c_Pair(c_UNITY_OActs(X1,X2),c_UNITY_OAllowedActs(X1,X2),tc_set(tc_set(tc_prod(X2,X2))),tc_set(tc_set(tc_prod(X2,X2)))),tc_set(X2),tc_prod(tc_set(tc_set(tc_prod(X2,X2))),tc_set(tc_set(tc_prod(X2,X2))))),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNITY_Osurjective__mk__program_0) ).
cnf(cls_conjecture_2,negated_conjecture,
c_UNITY_OAllowedActs(v_F,t_a) = c_UNITY_OAllowedActs(v_G,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_0,negated_conjecture,
c_UNITY_OInit(v_F,t_a) = c_UNITY_OInit(v_G,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_UNITY_OActs(v_F,t_a) = c_UNITY_OActs(v_G,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_3,negated_conjecture,
v_F != v_G,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_0_5,axiom,
c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(X1,X2),c_Pair(c_UNITY_OActs(X1,X2),c_UNITY_OAllowedActs(X1,X2),tc_set(tc_set(tc_prod(X2,X2))),tc_set(tc_set(tc_prod(X2,X2)))),tc_set(X2),tc_prod(tc_set(tc_set(tc_prod(X2,X2))),tc_set(tc_set(tc_prod(X2,X2))))),X2) = X1,
cls_UNITY_Osurjective__mk__program_0 ).
cnf(c_0_6,negated_conjecture,
c_UNITY_OAllowedActs(v_F,t_a) = c_UNITY_OAllowedActs(v_G,t_a),
cls_conjecture_2 ).
cnf(c_0_7,negated_conjecture,
c_UNITY_OInit(v_F,t_a) = c_UNITY_OInit(v_G,t_a),
cls_conjecture_0 ).
cnf(c_0_8,negated_conjecture,
c_UNITY_OActs(v_F,t_a) = c_UNITY_OActs(v_G,t_a),
cls_conjecture_1 ).
cnf(c_0_9,negated_conjecture,
v_F != v_G,
cls_conjecture_3 ).
cnf(c_0_10,negated_conjecture,
v_G = v_F,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]),c_0_8]),c_0_5]) ).
cnf(c_0_11,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : COM010-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n005.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 : Tue Aug 29 12:40:23 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.57 start to proof: theBenchmark
% 0.21/0.59 % Version : CSE_E---1.5
% 0.21/0.59 % Problem : theBenchmark.p
% 0.21/0.59 % Proof found
% 0.21/0.59 % SZS status Theorem for theBenchmark.p
% 0.21/0.59 % SZS output start Proof
% See solution above
% 0.21/0.59 % Total time : 0.004000 s
% 0.21/0.59 % SZS output end Proof
% 0.21/0.59 % Total time : 0.006000 s
%------------------------------------------------------------------------------