TSTP Solution File: SWV242-2 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWV242-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n014.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 : Fri May 19 12:14:26 EDT 2023
% Result : Unsatisfiable 2.52s 1.52s
% Output : Refutation 2.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 16
% Syntax : Number of formulae : 24 ( 9 unt; 9 typ; 0 def)
% Number of atoms : 23 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 142 ( 10 ~; 8 |; 0 &; 124 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 24 ( 0 ^; 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_lessequals_type,type,
c_lessequals: $i > $i > $i > $o ).
thf(v_G_type,type,
v_G: $i ).
thf(c_Message_Oanalz_type,type,
c_Message_Oanalz: $i > $i ).
thf(v_G_H_type,type,
v_G_H: $i ).
thf(tc_set_type,type,
tc_set: $i > $i ).
thf(tc_Message_Omsg_type,type,
tc_Message_Omsg: $i ).
thf(v_H_type,type,
v_H: $i ).
thf(v_H_H_type,type,
v_H_H: $i ).
thf(c_union_type,type,
c_union: $i > $i > $i > $i ).
thf(3,negated_conjecture,
( ~ ( c_lessequals @ v_H @ ( c_Message_Oanalz @ ( c_union @ v_G_H @ v_H_H @ tc_Message_Omsg ) ) @ ( tc_set @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ v_G @ ( c_Message_Oanalz @ ( c_union @ v_G_H @ v_H_H @ tc_Message_Omsg ) ) @ ( tc_set @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(10,plain,
( ~ ( c_lessequals @ v_H @ ( c_Message_Oanalz @ ( c_union @ v_G_H @ v_H_H @ tc_Message_Omsg ) ) @ ( tc_set @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ v_G @ ( c_Message_Oanalz @ ( c_union @ v_G_H @ v_H_H @ tc_Message_Omsg ) ) @ ( tc_set @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
! [C: $i,B: $i,A: $i] : ( c_lessequals @ A @ ( c_union @ A @ B @ C ) @ ( tc_set @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__upper1_0) ).
thf(14,plain,
! [C: $i,B: $i,A: $i] : ( c_lessequals @ A @ ( c_union @ A @ B @ C ) @ ( tc_set @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(2,negated_conjecture,
c_lessequals @ v_H @ ( c_Message_Oanalz @ v_H_H ) @ ( tc_set @ tc_Message_Omsg ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(9,plain,
c_lessequals @ v_H @ ( c_Message_Oanalz @ v_H_H ) @ ( tc_set @ tc_Message_Omsg ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ~ ( c_lessequals @ A @ B @ ( tc_set @ tc_Message_Omsg ) )
| ( c_lessequals @ ( c_Message_Oanalz @ A ) @ ( c_Message_Oanalz @ B ) @ ( tc_set @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__mono_0) ).
thf(12,plain,
! [B: $i,A: $i] :
( ~ ( c_lessequals @ A @ B @ ( tc_set @ tc_Message_Omsg ) )
| ( c_lessequals @ ( c_Message_Oanalz @ A ) @ ( c_Message_Oanalz @ B ) @ ( tc_set @ tc_Message_Omsg ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(7,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_lessequals @ A @ B @ ( tc_set @ C ) )
| ~ ( c_lessequals @ D @ A @ ( tc_set @ C ) )
| ( c_lessequals @ D @ B @ ( tc_set @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).
thf(16,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_lessequals @ A @ B @ ( tc_set @ C ) )
| ~ ( c_lessequals @ D @ A @ ( tc_set @ C ) )
| ( c_lessequals @ D @ B @ ( tc_set @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(1,negated_conjecture,
c_lessequals @ v_G @ ( c_Message_Oanalz @ v_G_H ) @ ( tc_set @ tc_Message_Omsg ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(8,plain,
c_lessequals @ v_G @ ( c_Message_Oanalz @ v_G_H ) @ ( tc_set @ tc_Message_Omsg ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(6,axiom,
! [C: $i,B: $i,A: $i] : ( c_lessequals @ A @ ( c_union @ B @ A @ C ) @ ( tc_set @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__upper2_0) ).
thf(15,plain,
! [C: $i,B: $i,A: $i] : ( c_lessequals @ A @ ( c_union @ B @ A @ C ) @ ( tc_set @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(18,plain,
$false,
inference(e,[status(thm)],[10,14,9,12,16,8,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWV242-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n014.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 19 02:40:28 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.93/0.84 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.23/0.94 % [INFO] Parsing done (103ms).
% 1.23/0.95 % [INFO] Running in sequential loop mode.
% 1.65/1.14 % [INFO] eprover registered as external prover.
% 1.65/1.14 % [INFO] cvc4 registered as external prover.
% 1.65/1.14 % [INFO] Scanning for conjecture ...
% 1.74/1.20 % [INFO] Found a conjecture and 4 axioms. Running axiom selection ...
% 1.74/1.22 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 1.74/1.22 % [INFO] Problem is propositional (TPTP CNF).
% 1.74/1.23 % [INFO] Type checking passed.
% 1.74/1.23 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 2.52/1.51 % External prover 'e' found a proof!
% 2.52/1.51 % [INFO] Killing All external provers ...
% 2.52/1.51 % Time passed: 998ms (effective reasoning time: 563ms)
% 2.52/1.51 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 2.52/1.52 % Axioms used in derivation (4): cls_Set_OUn__upper1_0, cls_Message_Oanalz__mono_0, cls_Set_Osubset__trans_0, cls_Set_OUn__upper2_0
% 2.52/1.52 % No. of inferences in proof: 15
% 2.52/1.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 998 ms resp. 563 ms w/o parsing
% 2.79/1.54 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.79/1.54 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------