TSTP Solution File: SWV270-2 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SWV270-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% 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 05:51:02 EDT 2024
% Result : Unsatisfiable 83.64s 15.44s
% Output : Refutation 83.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 53 ( 11 unt; 9 typ; 0 def)
% Number of atoms : 104 ( 7 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 544 ( 35 ~; 46 |; 0 &; 463 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 92 ( 0 ^ 92 !; 0 ?; 92 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_in_type,type,
c_in: $i > $i > $i > $o ).
thf(c_Message_Omsg_OMPair_type,type,
c_Message_Omsg_OMPair: $i > $i > $i ).
thf(v_X_type,type,
v_X: $i ).
thf(v_Y_type,type,
v_Y: $i ).
thf(c_union_type,type,
c_union: $i > $i > $i > $i ).
thf(c_Message_Oparts_type,type,
c_Message_Oparts: $i > $i ).
thf(v_H_type,type,
v_H: $i ).
thf(c_Message_Osynth_type,type,
c_Message_Osynth: $i > $i ).
thf(tc_Message_Omsg_type,type,
tc_Message_Omsg: $i ).
thf(1,negated_conjecture,
c_in @ ( c_Message_Omsg_OMPair @ v_X @ v_Y ) @ ( c_union @ ( c_Message_Oparts @ v_H ) @ ( c_Message_Osynth @ v_H ) @ tc_Message_Omsg ) @ tc_Message_Omsg,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(9,plain,
c_in @ ( c_Message_Omsg_OMPair @ v_X @ v_Y ) @ ( c_union @ ( c_Message_Oparts @ v_H ) @ ( c_Message_Osynth @ v_H ) @ tc_Message_Omsg ) @ tc_Message_Omsg,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(6,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ ( c_union @ B @ C @ D ) @ D )
| ( c_in @ A @ C @ D )
| ( c_in @ A @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__iff_0) ).
thf(18,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ ( c_union @ B @ C @ D ) @ D )
| ( c_in @ A @ C @ D )
| ( c_in @ A @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(19,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ ( c_union @ B @ C @ D ) @ D )
| ( c_in @ A @ C @ D )
| ( c_in @ A @ B @ D ) ),
inference(cnf,[status(esa)],[18]) ).
thf(232,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_in @ A @ C @ D )
| ( c_in @ A @ B @ D )
| ( ( c_in @ ( c_Message_Omsg_OMPair @ v_X @ v_Y ) @ ( c_union @ ( c_Message_Oparts @ v_H ) @ ( c_Message_Osynth @ v_H ) @ tc_Message_Omsg ) @ tc_Message_Omsg )
!= ( c_in @ A @ ( c_union @ B @ C @ D ) @ D ) ) ),
inference(paramod_ordered,[status(thm)],[9,19]) ).
thf(233,plain,
( ( c_in @ ( c_Message_Omsg_OMPair @ v_X @ v_Y ) @ ( c_Message_Osynth @ v_H ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OMPair @ v_X @ v_Y ) @ ( c_Message_Oparts @ v_H ) @ tc_Message_Omsg ) ),
inference(pattern_uni,[status(thm)],[232:[bind(A,$thf( c_Message_Omsg_OMPair @ v_X @ v_Y )),bind(B,$thf( c_Message_Oparts @ v_H )),bind(C,$thf( c_Message_Osynth @ v_H )),bind(D,$thf( tc_Message_Omsg ))]]) ).
thf(4,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ A @ B ) @ ( c_Message_Osynth @ C ) @ tc_Message_Omsg )
| ( c_in @ A @ ( c_Message_Osynth @ C ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OMPair @ A @ B ) @ C @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__synth_1) ).
thf(14,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ A @ B ) @ ( c_Message_Osynth @ C ) @ tc_Message_Omsg )
| ( c_in @ A @ ( c_Message_Osynth @ C ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OMPair @ A @ B ) @ C @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(15,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ A @ B ) @ ( c_Message_Osynth @ C ) @ tc_Message_Omsg )
| ( c_in @ A @ ( c_Message_Osynth @ C ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OMPair @ A @ B ) @ C @ tc_Message_Omsg ) ),
inference(cnf,[status(esa)],[14]) ).
thf(294,plain,
! [C: $i,B: $i,A: $i] :
( ( c_in @ ( c_Message_Omsg_OMPair @ v_X @ v_Y ) @ ( c_Message_Oparts @ v_H ) @ tc_Message_Omsg )
| ( c_in @ A @ ( c_Message_Osynth @ C ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OMPair @ A @ B ) @ C @ tc_Message_Omsg )
| ( ( c_in @ ( c_Message_Omsg_OMPair @ v_X @ v_Y ) @ ( c_Message_Osynth @ v_H ) @ tc_Message_Omsg )
!= ( c_in @ ( c_Message_Omsg_OMPair @ A @ B ) @ ( c_Message_Osynth @ C ) @ tc_Message_Omsg ) ) ),
inference(paramod_ordered,[status(thm)],[233,15]) ).
thf(295,plain,
( ( c_in @ ( c_Message_Omsg_OMPair @ v_X @ v_Y ) @ ( c_Message_Oparts @ v_H ) @ tc_Message_Omsg )
| ( c_in @ v_X @ ( c_Message_Osynth @ v_H ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OMPair @ v_X @ v_Y ) @ v_H @ tc_Message_Omsg ) ),
inference(pattern_uni,[status(thm)],[294:[bind(A,$thf( v_X )),bind(B,$thf( v_Y )),bind(C,$thf( v_H ))]]) ).
thf(8,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ B @ C )
| ( c_in @ A @ ( c_union @ D @ B @ C ) @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__iff_2) ).
thf(22,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ B @ C )
| ( c_in @ A @ ( c_union @ D @ B @ C ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(23,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ B @ C )
| ( c_in @ A @ ( c_union @ D @ B @ C ) @ C ) ),
inference(cnf,[status(esa)],[22]) ).
thf(2,negated_conjecture,
~ ( c_in @ v_X @ ( c_union @ ( c_Message_Oparts @ v_H ) @ ( c_Message_Osynth @ v_H ) @ tc_Message_Omsg ) @ tc_Message_Omsg ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(10,plain,
~ ( c_in @ v_X @ ( c_union @ ( c_Message_Oparts @ v_H ) @ ( c_Message_Osynth @ v_H ) @ tc_Message_Omsg ) @ tc_Message_Omsg ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(11,plain,
~ ( c_in @ v_X @ ( c_union @ ( c_Message_Oparts @ v_H ) @ ( c_Message_Osynth @ v_H ) @ tc_Message_Omsg ) @ tc_Message_Omsg ),
inference(polarity_switch,[status(thm)],[10]) ).
thf(633,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ B @ C )
| ( ( c_in @ A @ ( c_union @ D @ B @ C ) @ C )
!= ( c_in @ v_X @ ( c_union @ ( c_Message_Oparts @ v_H ) @ ( c_Message_Osynth @ v_H ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) ),
inference(paramod_ordered,[status(thm)],[23,11]) ).
thf(634,plain,
~ ( c_in @ v_X @ ( c_Message_Osynth @ v_H ) @ tc_Message_Omsg ),
inference(pattern_uni,[status(thm)],[633:[bind(A,$thf( v_X )),bind(B,$thf( c_Message_Osynth @ v_H )),bind(C,$thf( tc_Message_Omsg )),bind(D,$thf( c_Message_Oparts @ v_H ))]]) ).
thf(13242,plain,
( ( c_in @ ( c_Message_Omsg_OMPair @ v_X @ v_Y ) @ ( c_Message_Oparts @ v_H ) @ tc_Message_Omsg )
| $false
| ( c_in @ ( c_Message_Omsg_OMPair @ v_X @ v_Y ) @ v_H @ tc_Message_Omsg ) ),
inference(rewrite,[status(thm)],[295,634]) ).
thf(13243,plain,
( ( c_in @ ( c_Message_Omsg_OMPair @ v_X @ v_Y ) @ ( c_Message_Oparts @ v_H ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OMPair @ v_X @ v_Y ) @ v_H @ tc_Message_Omsg ) ),
inference(simp,[status(thm)],[13242]) ).
thf(3,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ A @ B ) @ ( c_Message_Oparts @ C ) @ tc_Message_Omsg )
| ( c_in @ A @ ( c_Message_Oparts @ C ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_1) ).
thf(12,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ A @ B ) @ ( c_Message_Oparts @ C ) @ tc_Message_Omsg )
| ( c_in @ A @ ( c_Message_Oparts @ C ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(13,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ A @ B ) @ ( c_Message_Oparts @ C ) @ tc_Message_Omsg )
| ( c_in @ A @ ( c_Message_Oparts @ C ) @ tc_Message_Omsg ) ),
inference(cnf,[status(esa)],[12]) ).
thf(13262,plain,
! [C: $i,B: $i,A: $i] :
( ( c_in @ ( c_Message_Omsg_OMPair @ v_X @ v_Y ) @ v_H @ tc_Message_Omsg )
| ( c_in @ A @ ( c_Message_Oparts @ C ) @ tc_Message_Omsg )
| ( ( c_in @ ( c_Message_Omsg_OMPair @ v_X @ v_Y ) @ ( c_Message_Oparts @ v_H ) @ tc_Message_Omsg )
!= ( c_in @ ( c_Message_Omsg_OMPair @ A @ B ) @ ( c_Message_Oparts @ C ) @ tc_Message_Omsg ) ) ),
inference(paramod_ordered,[status(thm)],[13243,13]) ).
thf(13263,plain,
( ( c_in @ ( c_Message_Omsg_OMPair @ v_X @ v_Y ) @ v_H @ tc_Message_Omsg )
| ( c_in @ v_X @ ( c_Message_Oparts @ v_H ) @ tc_Message_Omsg ) ),
inference(pattern_uni,[status(thm)],[13262:[bind(A,$thf( v_X )),bind(B,$thf( v_Y )),bind(C,$thf( v_H ))]]) ).
thf(7,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ B @ C )
| ( c_in @ A @ ( c_union @ B @ D @ C ) @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__iff_1) ).
thf(20,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ B @ C )
| ( c_in @ A @ ( c_union @ B @ D @ C ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(21,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ B @ C )
| ( c_in @ A @ ( c_union @ B @ D @ C ) @ C ) ),
inference(cnf,[status(esa)],[20]) ).
thf(382,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ B @ C )
| ( ( c_in @ A @ ( c_union @ B @ D @ C ) @ C )
!= ( c_in @ v_X @ ( c_union @ ( c_Message_Oparts @ v_H ) @ ( c_Message_Osynth @ v_H ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) ),
inference(paramod_ordered,[status(thm)],[21,11]) ).
thf(383,plain,
~ ( c_in @ v_X @ ( c_Message_Oparts @ v_H ) @ tc_Message_Omsg ),
inference(pattern_uni,[status(thm)],[382:[bind(A,$thf( v_X )),bind(B,$thf( c_Message_Oparts @ v_H )),bind(C,$thf( tc_Message_Omsg )),bind(D,$thf( c_Message_Osynth @ v_H ))]]) ).
thf(13382,plain,
( ( c_in @ ( c_Message_Omsg_OMPair @ v_X @ v_Y ) @ v_H @ tc_Message_Omsg )
| $false ),
inference(rewrite,[status(thm)],[13263,383]) ).
thf(13383,plain,
c_in @ ( c_Message_Omsg_OMPair @ v_X @ v_Y ) @ v_H @ tc_Message_Omsg,
inference(simp,[status(thm)],[13382]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ~ ( c_in @ A @ B @ tc_Message_Omsg )
| ( c_in @ A @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
thf(16,plain,
! [B: $i,A: $i] :
( ~ ( c_in @ A @ B @ tc_Message_Omsg )
| ( c_in @ A @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(17,plain,
! [B: $i,A: $i] :
( ~ ( c_in @ A @ B @ tc_Message_Omsg )
| ( c_in @ A @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg ) ),
inference(cnf,[status(esa)],[16]) ).
thf(66,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_in @ A @ B @ tc_Message_Omsg )
| ( c_in @ C @ ( c_Message_Oparts @ E ) @ tc_Message_Omsg )
| ( ( c_in @ A @ ( c_Message_Oparts @ B ) @ tc_Message_Omsg )
!= ( c_in @ ( c_Message_Omsg_OMPair @ C @ D ) @ ( c_Message_Oparts @ E ) @ tc_Message_Omsg ) ) ),
inference(paramod_ordered,[status(thm)],[17,13]) ).
thf(67,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ B @ C ) @ A @ tc_Message_Omsg )
| ( c_in @ B @ ( c_Message_Oparts @ A ) @ tc_Message_Omsg ) ),
inference(pattern_uni,[status(thm)],[66:[bind(A,$thf( c_Message_Omsg_OMPair @ F @ G )),bind(B,$thf( B )),bind(C,$thf( F )),bind(D,$thf( G )),bind(E,$thf( B ))]]) ).
thf(75,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ B @ C ) @ A @ tc_Message_Omsg )
| ( c_in @ B @ ( c_Message_Oparts @ A ) @ tc_Message_Omsg ) ),
inference(simp,[status(thm)],[67]) ).
thf(13425,plain,
! [C: $i,B: $i,A: $i] :
( ( c_in @ B @ ( c_Message_Oparts @ A ) @ tc_Message_Omsg )
| ( ( c_in @ ( c_Message_Omsg_OMPair @ v_X @ v_Y ) @ v_H @ tc_Message_Omsg )
!= ( c_in @ ( c_Message_Omsg_OMPair @ B @ C ) @ A @ tc_Message_Omsg ) ) ),
inference(paramod_ordered,[status(thm)],[13383,75]) ).
thf(13426,plain,
c_in @ v_X @ ( c_Message_Oparts @ v_H ) @ tc_Message_Omsg,
inference(pattern_uni,[status(thm)],[13425:[bind(A,$thf( v_H )),bind(B,$thf( v_X )),bind(C,$thf( v_Y ))]]) ).
thf(13519,plain,
$false,
inference(rewrite,[status(thm)],[13426,383]) ).
thf(13520,plain,
$false,
inference(simp,[status(thm)],[13519]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV270-2 : TPTP v8.2.0. Released v3.2.0.
% 0.12/0.16 % Command : run_Leo-III %s %d
% 0.17/0.37 % Computer : n019.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Sun May 19 08:13:39 EDT 2024
% 0.17/0.38 % CPUTime :
% 0.95/0.88 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.17/0.99 % [INFO] Parsing done (106ms).
% 1.17/0.99 % [INFO] Running in sequential loop mode.
% 1.57/1.21 % [INFO] nitpick registered as external prover.
% 1.57/1.21 % [INFO] Scanning for conjecture ...
% 1.81/1.27 % [INFO] Found a conjecture (or negated_conjecture) and 6 axioms. Running axiom selection ...
% 1.81/1.29 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 1.81/1.30 % [INFO] Problem is propositional (TPTP CNF).
% 1.81/1.30 % [INFO] Type checking passed.
% 1.81/1.30 % [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 ...
% 83.64/15.43 % [INFO] Killing All external provers ...
% 83.64/15.44 % Time passed: 14892ms (effective reasoning time: 14436ms)
% 83.64/15.44 % Axioms used in derivation (6): cls_Message_Oparts_OInj_0, cls_Set_OUn__iff_0, cls_Message_OMPair__parts_1, cls_Set_OUn__iff_1, cls_Message_OMPair__synth_1, cls_Set_OUn__iff_2
% 83.64/15.44 % No. of inferences in proof: 44
% 83.64/15.44 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 14892 ms resp. 14436 ms w/o parsing
% 83.64/15.48 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 83.64/15.48 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------