TSTP Solution File: CSR030+1 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : CSR030+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n011.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 7 10:28:30 EDT 2024
% Result : Theorem 14.94s 3.54s
% Output : Refutation 14.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 41 ( 9 unt; 9 typ; 0 def)
% Number of atoms : 66 ( 3 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 142 ( 18 ~; 14 |; 2 &; 96 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 29 ( 0 ^ 25 !; 4 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
thf(mtvisible_type,type,
mtvisible: $i > $o ).
thf(c_tptp_member3393_mt_type,type,
c_tptp_member3393_mt: $i ).
thf(tptptypes_5_387_type,type,
tptptypes_5_387: $i > $i > $o ).
thf(c_pushingwithopenhand_type,type,
c_pushingwithopenhand: $i ).
thf(genlmt_type,type,
genlmt: $i > $i > $o ).
thf(tptptypes_7_389_type,type,
tptptypes_7_389: $i > $i > $o ).
thf(tptptypes_6_388_type,type,
tptptypes_6_388: $i > $i > $o ).
thf(c_tptpcol_16_4451_type,type,
c_tptpcol_16_4451: $i ).
thf(c_tptp_spindleheadmt_type,type,
c_tptp_spindleheadmt: $i ).
thf(44,axiom,
( ( mtvisible @ c_tptp_spindleheadmt )
=> ( tptptypes_7_389 @ c_pushingwithopenhand @ c_tptpcol_16_4451 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).
thf(132,plain,
( ( mtvisible @ c_tptp_spindleheadmt )
=> ( tptptypes_7_389 @ c_pushingwithopenhand @ c_tptpcol_16_4451 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(133,plain,
( ~ ( mtvisible @ c_tptp_spindleheadmt )
| ( tptptypes_7_389 @ c_pushingwithopenhand @ c_tptpcol_16_4451 ) ),
inference(cnf,[status(esa)],[132]) ).
thf(17,axiom,
! [A: $i,B: $i] :
( ( tptptypes_7_389 @ A @ B )
=> ( tptptypes_6_388 @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).
thf(78,plain,
! [A: $i,B: $i] :
( ( tptptypes_7_389 @ A @ B )
=> ( tptptypes_6_388 @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(79,plain,
! [B: $i,A: $i] :
( ~ ( tptptypes_7_389 @ A @ B )
| ( tptptypes_6_388 @ B @ A ) ),
inference(cnf,[status(esa)],[78]) ).
thf(578,plain,
! [B: $i,A: $i] :
( ~ ( mtvisible @ c_tptp_spindleheadmt )
| ( tptptypes_6_388 @ B @ A )
| ( ( tptptypes_7_389 @ c_pushingwithopenhand @ c_tptpcol_16_4451 )
!= ( tptptypes_7_389 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[133,79]) ).
thf(579,plain,
( ~ ( mtvisible @ c_tptp_spindleheadmt )
| ( tptptypes_6_388 @ c_tptpcol_16_4451 @ c_pushingwithopenhand ) ),
inference(pattern_uni,[status(thm)],[578:[bind(A,$thf( c_pushingwithopenhand )),bind(B,$thf( c_tptpcol_16_4451 ))]]) ).
thf(42,axiom,
genlmt @ c_tptp_member3393_mt @ c_tptp_spindleheadmt,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just11) ).
thf(129,plain,
genlmt @ c_tptp_member3393_mt @ c_tptp_spindleheadmt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(41,axiom,
! [A: $i,B: $i] :
( ( ( mtvisible @ A )
& ( genlmt @ A @ B ) )
=> ( mtvisible @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just49) ).
thf(127,plain,
! [A: $i,B: $i] :
( ( ( mtvisible @ A )
& ( genlmt @ A @ B ) )
=> ( mtvisible @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(128,plain,
! [B: $i,A: $i] :
( ~ ( mtvisible @ A )
| ~ ( genlmt @ A @ B )
| ( mtvisible @ B ) ),
inference(cnf,[status(esa)],[127]) ).
thf(1473,plain,
! [B: $i,A: $i] :
( ~ ( mtvisible @ A )
| ( mtvisible @ B )
| ( ( genlmt @ c_tptp_member3393_mt @ c_tptp_spindleheadmt )
!= ( genlmt @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[129,128]) ).
thf(1474,plain,
( ~ ( mtvisible @ c_tptp_member3393_mt )
| ( mtvisible @ c_tptp_spindleheadmt ) ),
inference(pattern_uni,[status(thm)],[1473:[bind(A,$thf( c_tptp_member3393_mt )),bind(B,$thf( c_tptp_spindleheadmt ))]]) ).
thf(1,conjecture,
? [A: $i] :
( ( mtvisible @ c_tptp_member3393_mt )
=> ( tptptypes_5_387 @ A @ c_pushingwithopenhand ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query30) ).
thf(2,negated_conjecture,
~ ? [A: $i] :
( ( mtvisible @ c_tptp_member3393_mt )
=> ( tptptypes_5_387 @ A @ c_pushingwithopenhand ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(46,plain,
~ ? [A: $i] :
( ( mtvisible @ c_tptp_member3393_mt )
=> ( tptptypes_5_387 @ A @ c_pushingwithopenhand ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(47,plain,
~ ( ( mtvisible @ c_tptp_member3393_mt )
=> ? [A: $i] : ( tptptypes_5_387 @ A @ c_pushingwithopenhand ) ),
inference(miniscope,[status(thm)],[46]) ).
thf(49,plain,
mtvisible @ c_tptp_member3393_mt,
inference(cnf,[status(esa)],[47]) ).
thf(1569,plain,
( ~ $true
| ( mtvisible @ c_tptp_spindleheadmt ) ),
inference(rewrite,[status(thm)],[1474,49]) ).
thf(1570,plain,
mtvisible @ c_tptp_spindleheadmt,
inference(simp,[status(thm)],[1569]) ).
thf(1575,plain,
( ~ $true
| ( tptptypes_6_388 @ c_tptpcol_16_4451 @ c_pushingwithopenhand ) ),
inference(rewrite,[status(thm)],[579,1570]) ).
thf(1576,plain,
tptptypes_6_388 @ c_tptpcol_16_4451 @ c_pushingwithopenhand,
inference(simp,[status(thm)],[1575]) ).
thf(43,axiom,
! [A: $i,B: $i] :
( ( tptptypes_6_388 @ A @ B )
=> ( tptptypes_5_387 @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just7) ).
thf(130,plain,
! [A: $i,B: $i] :
( ( tptptypes_6_388 @ A @ B )
=> ( tptptypes_5_387 @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(131,plain,
! [B: $i,A: $i] :
( ~ ( tptptypes_6_388 @ A @ B )
| ( tptptypes_5_387 @ A @ B ) ),
inference(cnf,[status(esa)],[130]) ).
thf(1618,plain,
! [B: $i,A: $i] :
( ( tptptypes_5_387 @ A @ B )
| ( ( tptptypes_6_388 @ c_tptpcol_16_4451 @ c_pushingwithopenhand )
!= ( tptptypes_6_388 @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[1576,131]) ).
thf(1619,plain,
tptptypes_5_387 @ c_tptpcol_16_4451 @ c_pushingwithopenhand,
inference(pattern_uni,[status(thm)],[1618:[bind(A,$thf( c_tptpcol_16_4451 )),bind(B,$thf( c_pushingwithopenhand ))]]) ).
thf(48,plain,
! [A: $i] :
~ ( tptptypes_5_387 @ A @ c_pushingwithopenhand ),
inference(cnf,[status(esa)],[47]) ).
thf(1709,plain,
$false,
inference(rewrite,[status(thm)],[1619,48]) ).
thf(1710,plain,
$false,
inference(simp,[status(thm)],[1709]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : CSR030+1 : TPTP v8.1.2. Released v3.4.0.
% 0.13/0.16 % Command : run_Leo-III %s %d
% 0.17/0.38 % Computer : n011.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Mon May 6 23:31:24 EDT 2024
% 0.17/0.38 % CPUTime :
% 0.93/0.88 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.20/1.01 % [INFO] Parsing done (136ms).
% 1.41/1.02 % [INFO] Running in sequential loop mode.
% 1.76/1.24 % [INFO] nitpick registered as external prover.
% 1.85/1.25 % [INFO] Scanning for conjecture ...
% 1.85/1.31 % [INFO] Found a conjecture and 57 axioms. Running axiom selection ...
% 2.10/1.36 % [INFO] Axiom selection finished. Selected 43 axioms (removed 14 axioms).
% 2.29/1.40 % [INFO] Problem is first-order (TPTP FOF).
% 2.29/1.40 % [INFO] Type checking passed.
% 2.29/1.40 % [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 ...
% 14.34/3.53 % [INFO] Killing All external provers ...
% 14.94/3.54 % Time passed: 2985ms (effective reasoning time: 2510ms)
% 14.94/3.54 % 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)>
% 14.94/3.54 % Axioms used in derivation (5): just12, just11, just7, just49, just9
% 14.94/3.54 % No. of inferences in proof: 32
% 14.94/3.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2985 ms resp. 2510 ms w/o parsing
% 14.94/3.59 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 14.94/3.59 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------